<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing with OASIS Tables v3.0 20080202//EN" "journalpub-oasis3.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0"><?xmltex \makeatother\@nolinetrue\makeatletter?>
  <front>
    <journal-meta><journal-id journal-id-type="publisher">SE</journal-id><journal-title-group>
    <journal-title>Solid Earth</journal-title>
    <abbrev-journal-title abbrev-type="publisher">SE</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Solid Earth</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1869-9529</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/se-12-741-2021</article-id><title-group><article-title>The impact of seismic interpretation methods on the analysis of faults: a
case study from the Snøhvit field, Barents Sea</article-title><alt-title>The impact of seismic interpretation methods on the analysis of faults</alt-title>
      </title-group><?xmltex \runningtitle{The impact of seismic interpretation methods on the analysis of faults}?><?xmltex \runningauthor{J.~E.~Cunningham et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Cunningham</surname><given-names>Jennifer E.</given-names></name>
          <email>jenecunningham@gmail.com</email>
        <ext-link>https://orcid.org/0000-0003-2190-9160</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Cardozo</surname><given-names>Nestor</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Townsend</surname><given-names>Chris</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Callow</surname><given-names>Richard H. T.</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Department of Energy Resources, University of Stavanger, 4036 Stavanger, Norway</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Equinor ASA, Forusbeen 50, 4035 Sandnes, Norway</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Jennifer E. Cunningham (jenecunningham@gmail.com)</corresp></author-notes><pub-date><day>30</day><month>March</month><year>2021</year></pub-date>
      
      <volume>12</volume>
      <issue>3</issue>
      <fpage>741</fpage><lpage>764</lpage>
      <history>
        <date date-type="received"><day>6</day><month>October</month><year>2020</year></date>
           <date date-type="rev-request"><day>31</day><month>October</month><year>2020</year></date>
           <date date-type="rev-recd"><day>5</day><month>January</month><year>2021</year></date>
           <date date-type="accepted"><day>11</day><month>February</month><year>2021</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2021 Jennifer E. Cunningham et al.</copyright-statement>
        <copyright-year>2021</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://se.copernicus.org/articles/12/741/2021/se-12-741-2021.html">This article is available from https://se.copernicus.org/articles/12/741/2021/se-12-741-2021.html</self-uri><self-uri xlink:href="https://se.copernicus.org/articles/12/741/2021/se-12-741-2021.pdf">The full text article is available as a PDF file from https://se.copernicus.org/articles/12/741/2021/se-12-741-2021.pdf</self-uri>
      <abstract><title>Abstract</title>
    <p id="d1e114">Five seismic interpretation experiments were conducted on an area of
interest containing a fault relay in the Snøhvit field, Barents Sea,
Norway, to understand how the interpretation method impacts the analysis of
fault and horizon morphologies, fault lengths, and throw. The resulting
horizon and fault interpretations from the least and most successful
interpretation methods were further analysed to understand their impact on
geological modelling and hydrocarbon volume calculation. Generally, the
least dense manual interpretation method of horizons (32 inlines and 32 crosslines; 32 ILs <inline-formula><mml:math id="M1" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 32 XLs, 400 m) and faults (32 ILs, 400 m) resulted in inaccurate
fault and horizon interpretations and underdeveloped relay morphologies and
throw, which are inadequate for any detailed geological analysis. The
densest fault interpretations (4 ILs, 50 m) and 3D auto-tracked horizons (all
ILs and XLs spaced 12.5 m) provided the most detailed interpretations, most
developed relay and fault morphologies, and geologically realistic throw
distributions. Sparse interpretation grids generate significant issues in
the model itself, which make it geologically inaccurate and lead to
misunderstanding of the structural evolution of the relay. Despite
significant differences between the two models, the calculated in-place
petroleum reserves are broadly similar in the least and most dense
experiments. However, when considered at field scale, the differences in
volumes that are generated by the contrasting interpretation methodologies
clearly demonstrate the importance of applying accurate interpretation
strategies.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

      <?xmltex \hack{\newpage}?>
<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e135">An accurate understanding of faults in the subsurface is critical for many
elements of the hydrocarbon exploration and production industry. For
example, faults control sediment and reservoir depositional systems, act
either as conduits or baffles to fluid flow, are often the defining elements
of structural traps, and impact the design of exploration and production
wells
(e.g.
Athmer et al., 2010; Athmer and Luthi, 2011; Botter et al., 2017; Fachri et
al., 2013a; Knipe, 1997; Manzocchi et al., 2008a, 2010). Subsurface faults
are commonly interpreted from either reflection seismic data or attributes of
that data by creating fault sticks on vertical cross sections (e.g. inlines
ILs or crosslines XLs), which are then used to generate fault surfaces
(e.g. Yielding and Freeman, 2016). Fault displacement
is analysed by studying the interaction between the displaced horizon
reflectors and the fault surface
(e.g.
Dee et al., 2005; Freeman et al., 1990; Needham et al., 1996). Although this
is a commonly used interpretation method, the impacts of changing
interpretation density (i.e. IL or XL spacing), interpretation from vertical
vs. horizontal sections, and the effects of manual (2D line-by-line
auto-tracking) vs. 3D auto-tracking techniques have not been systematically
investigated.</p>
      <p id="d1e138">The interpretation of faults in seismic data has been the focus of many
studies. Badley et al. (1990) were the first to
publish a systematic approach to the seismic interpretation of faults using
fault displacement analysis. Freeman et al. (1990)
explained how fault displacement analysis can be used in the quality-control
process of fault interpretation. The interpreted horizon–fault
intersections and subsequent fault displacement profiles in seismic data
have also been<?pagebreak page742?> described as ellipsoidal in isolated, single faults. When
faults are not isolated, displacement profiles exhibit more complex
geometries (i.e. multiple maxima), which can help to determine the
structural history of fault linkage
(Needham et al., 1996). A complete
workflow for 3D structural interpretation in seismic data using various
attribute volumes, reflection data, rendered volumes, and an overview of
structural framework building has been presented by Yielding
and Freeman (2016). In addition, Solum et al. (2016)
recommended a combination of seismic interpretation, the analysis of
structure maps, fieldwork, and geomodelling as the fundamentals of
structural analysis. Interpreted fault surfaces can be quality-controlled by
projecting longitudinal and shear strain (vertical and horizontal components
of dip separation gradient) onto fault planes and assigning realistic
strain limits in order to identify interpretation errors
(Freeman et al., 2010). The aforementioned
strain measurements are applied to determine the strain relationships of
interpreted faults, assuming the data occur within a reasonable strain limit
and after the quality-control process is complete
(Freeman et al., 2010).</p>
      <p id="d1e141">Uncertainty in fault interpretation has also been readily analysed, and
previous works have focused on how significant uncertainties and
interpretation biases exist in 2D and 3D seismic interpretation
(Bond,
2015; Bond et al., 2011, 2007; Schaaf and Bond, 2019), as well as the impact of the
image quality of seismic data on uncertainty in seismic interpretation
(Alcalde et al., 2017). Uncertainty pertaining to fault
properties, and the effect fault properties have on fluid flow simulations
have also been analysed
(Manzocchi
et al., 2008b; Miocic et al., 2019). The impact of interpretation
variability on structural trap definition and the juxtaposition of hydrocarbon-bearing reservoirs, as well as the subsequent implications for exploration and volume
calculations, were tested and prove the impact of seismic interpretation bias
in structurally defined hydrocarbon systems
(Richards et al., 2015).</p>
      <p id="d1e144">Many techniques have extended basic fault interpretation methods to
better understand the link between faults in seismic surfaces and their properties in
the subsurface. Dee et al. (2005) studied the application of
structural geological analysis to a number of common industry-based
techniques and workflows (e.g. fault seal, fluid accumulation, migration,
fault property modelling). Seismic attributes have been analysed to study
fault architecture and investigate fault sealing potential
(Dutzer et al., 2010). Long and Imber (2010, 2012) used
interpreted seismic surfaces to measure regional dip changes in order to
map fault deformation in both a normal fault array and a relay ramp. Studies
such as these, combined with the increasing availability of high-resolution
3D seismic data, have driven seismic structural analysis towards more
detailed and quantitative studies. Iacopini and Butler (2011) and Iacopini et al. (2012) generated a workflow combining seismic attribute
visualization, opacity filtering, and frequency decomposition to
characterize deep marine thrust faults. In a case study from the Snøhvit
field, a linkage between unsupervised seismic fault facies and fault-related
deformation was established, and seismic amplitude was analysed to
understand how folding near faults might influence near-fault amplitudes
(Cunningham et al., 2021).</p>
      <p id="d1e148">Synthetic seismic modelling has shed important light on the impact of
seismic frequency on fault imaging, the seismic amplitudes contained in and
around faults, and their linkage to fault-related deformation and fault
illumination
(Botter
et al., 2014, 2016a, b). A comparison of faults in the Snøhvit field
with synthetic seismic modelling showed the importance of incidence angle, azimuthal
separation, and frequency on fault imaging (Cunningham et
al., 2021).</p>
      <p id="d1e151">Fluid flow across faults through deformed bedding and the sealing
properties of faults have long been important topics in the petroleum
industry
(e.g.
Bretan et al., 2011; Caine et al., 1996; Cerveny et al., 2004; Davatzes and
Aydin, 2005; Edmundson et al., 2019; Fachri et al., 2013a, b, 2016;
Fisher and Knipe, 1998; Knipe, 1997, 1992; Yielding et al., 1997). In
addition, reservoir modelling techniques have been used to simulate this
process (Fachri et al., 2013a), and
synthetic seismic modelling has been used to understand the impact of
faulting and fluid flow on seismic images (Botter
et al., 2017).</p>
      <p id="d1e154">Fault interpretation in seismic data has formed the basis of many studies
over the decades, but no single study has looked specifically into seismic
interpretation methodologies. It would seem logical to assume that increased
interpretation density will result in a higher-resolution output (i.e. fault
and horizon interpretation), but at the expense of the increased time
required to perform the interpretation. It has yet to be fully evaluated
whether these more detailed interpretations justify this increased time and
effort or whether the end results are comparable to much more efficient
interpretation strategies. Similarly, auto-tracking algorithms would appear
to offer a shortcut to high-resolution horizon and fault interpretations,
but how do these algorithms compare to the results of detailed manual
interpretations? We address the impact of interpretation strategy on the
quality of the final products and whether it is possible to identify an
optimum balance between interpretation density, time required to do the
interpretation, and the accuracy of the end result.</p>
      <p id="d1e157">Our study tests the effect of interpretation methods (faults and displaced
horizons) on aspects of fault analysis, with the aim to provide
geoscientists with better knowledge of seismic interpretation and analysis of
faults, as well as an explanation of the implications of improper interpretation
and best-practice interpretation methods. We designed five fault and horizon
interpretation experiments, which were conducted on a seismic volume from
the Snøhvit field, Barents Sea. The resulting surfaces from each
experiment (faults and horizons) were run through a fault analysis workflow.
Key aspects of the workflow include the analysis of fault length and
morphology, fault displacement
(throw;
Badley et al., 1990; Freeman et al., 1990; Needham et al., 1996),<?pagebreak page743?> juxtaposed
lithology
(Allan,
1989; Fisher and Knipe, 1998; Knipe, 1992, 1997), dip separation gradient
(Freeman et al., 2010),
geological modelling
(e.g. Jolley et al.,
2007; Turner, 2006), and the subsequent petroleum volume calculations.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Geologic setting</title>
      <p id="d1e168">The Snøhvit gas and condensate field is located in the centre of the
Hammerfest Basin on the southwest margin of the Barents Sea (Fig. 1a, b:
Linjordet and Olsen, 1992). The
ENE–WSW-trending Hammerfest Basin is <inline-formula><mml:math id="M2" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 150 km long by 70 km
wide and is bound in the north, southeast, and west by the Loppa High,
Finnmark Platform, and Tromsø Basin, respectively. Rifting in the basin
initiated in the Late Carboniferous–early Permian and drove the formation of
the NE–SE-trending basin-bounding faults
(Gudlaugsson et al., 1998). A second
phase of rifting in the Late Jurassic–Early Cretaceous reactivated the basin-bounding faults and caused the basin to undergo large amounts of subsidence
on both the northern and southern margins
(Doré,
1995; Linjordet and Olsen, 1992; Ostanin et al., 2012; Sund et al., 1984).
Due to differential subsidence during this period, the Hammerfest Basin
widened and deepened westward, allowing for the accumulation of thicker
sediment packages in the west
(Linjordet and Olsen, 1992). A
dome at the basin's central axis and a subsequent east–west-trending fault
system formed during basin extension in the Early Jurassic–Barremian
(Sund et al., 1984). These east–west-trending faults
define the structure of the Snøhvit field and divide the field into
northern and southern petroleum provinces (Sund et al.,
1984). The main petroleum system components of the Snøhvit field are
located within the Upper Triassic–Jurassic strata
(Fig. 1c; Linjordet and Olsen,
1992). The focus of this study is on two of the east–west-trending faults
across the Snøhvit field (Fig. 1b, blue and red lines). These two faults
dip to the north, offset the Jurassic strata, and form a relay ramp
structure (Fig. 1d). The area was chosen because relays are structurally
complex and require special attention in their interpretation. Relays are
also important in petroleum systems as they can create sediment distribution
pathways, enable or disable fault seal (as all faults can), act as fluid
flow pathways, and be a part of trap definitions
(Athmer
et al., 2010; Athmer and Luthi, 2011; Botter et al., 2017; Fachri et al.,
2013a; Fossen and Rotevatn, 2016; Gupta et al., 1999; Knipe, 1997; Peacock
and Sanderson, 1994; Rotevatn et al., 2007).</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e180"><bold>(a)</bold> Geologic setting of the Hammerfest Basin. The area in <bold>(b)</bold> is
marked by a black box. Modified from NPD fact maps. <bold>(b)</bold> Snøhvit field
area. The dashed yellow line shows the extent of seismic data, and the
orange rectangle highlights the study area. Map modified from
Ostanin et al. (2012). The blue background refers
to the Jurassic Hammerfest Basin, while the red  shapes identify the areal
extent of Lower–Middle Jurassic gas fields. The western and eastern fault in
the study area are coloured blue and red, respectively. <bold>(c)</bold> Generalized
lithostratigraphic column of the Barents Sea highlighting the horizons of
interest. Modified from Ostanin et al. (2012). <bold>(d)</bold> North–south seismic IL (3342) through the middle of the Snøhvit field
(<inline-formula><mml:math id="M3" display="inline"><mml:mi>X</mml:mi></mml:math></inline-formula>-<inline-formula><mml:math id="M4" display="inline"><mml:mrow><mml:msup><mml:mi>X</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> in <bold>b</bold>), with interpreted horizons and faults. Interpreted horizons are as follows.
A: top Kolje, B: top Fuglen, C: top Fruholmen <bold>(c, d)</bold>.</p></caption>
        <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://se.copernicus.org/articles/12/741/2021/se-12-741-2021-f01.png"/>

      </fig>

</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Methodology</title>
      <p id="d1e236">Five interpretation experiments (Exps. 1–5) were designed to test the impact
of different seismic interpretation methods on the analysis of faults (Fig. 2). Each of these experiments (Fig. 2a) was completed on a chosen 5 <inline-formula><mml:math id="M5" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 5 km
area covering the relay ramp (orange rectangle in Fig. 1b), and a fault
analysis workflow was applied to the interpreted seismic horizon and fault
surfaces from each experiment (Fig. 2b). The fault analysis workflow (Fig. 2b) integrated a comparison of seismic interpretation results and analyses
of fault length, throw, dip separation gradients (longitudinal and shear
strain), juxtaposed lithology, geological modelling, and calculation of
hydrocarbon volumes. While the individual components of the fault analysis
workflow have been applied previously
(e.g.
Elliott et al., 2012; Fachri et al., 2013a; Long and Imber, 2010, 2012;
Rippon, 1985; Townsend et al., 1998; Wilson et al., 2009, 2013), no earlier
studies have considered the impact of the seismic interpretation strategy on
the outcomes of the fault analysis workflow.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e248">The workflow used in this study. The fault analysis workflow <bold>(b)</bold> was completed in each of the seismic interpretation experiments <bold>(a)</bold>.</p></caption>
        <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://se.copernicus.org/articles/12/741/2021/se-12-741-2021-f02.png"/>

      </fig>

      <p id="d1e263">The computer programmes Petrel™ and T7™ (formerly
TrapTester™) were used in the seismic interpretation and fault
analysis workflows, respectively. The seismic dataset used in this study was
survey ST15M04, a merge of five 3D seismic streamer surveys that was
provided by Equinor ASA and their partners (Petoro AS, Total E&amp;P Norge
AS, Neptune Energy Norge AS, and Wintershall Dea Norge AS) in the Snøhvit
field. The ST15M04 volume was zero-phase pre-stack
depth-migrated (PSDM; Kirchhoff), and both partial and full offset stacks
were available. It was assumed that the velocity model used in the PSDM was
correct and that the vertical scale of the processed volume (in depth)
represents depth in metres. The inlines (ILs) and crosslines (XLs) are
spaced at 12.5 m, and an increase in acoustic impedance is represented by a
red peak (blue–red–blue). The interpretation was performed in depth to give
the most representative view of the geological and structural relationships
and to avoid re-stretching the data back into time. All five interpretation
experiments were conducted on the near-stack data (5–20<inline-formula><mml:math id="M6" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>), as
this dataset has been proven to give the most consistent fault imaging and
best reflector continuity (i.e. Shuey,
1985). As the data are a merge of multiple datasets and vintages, the
acquisition orientation geometries could not be considered although they are
known to impact fault imaging (Cunningham et al., 2021).</p>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Seismic interpretation</title>
      <?pagebreak page745?><p id="d1e283">Two east–west-trending, north-dipping faults that form the relay ramp were
interpreted (Fig. 1b, d). These two faults are termed the western and
eastern faults (Fig. 1b and d, blue and red faults, respectively). Two
faulted seismic reflectors (top Fuglen and Fruholmen formations; Fig. 1c–d)
were also interpreted. These reflectors were chosen because the top Fuglen
is a very strong, easily interpreted reflector, while the top Fruholmen is
poorly imaged and is more challenging to interpret. Both the top Fuglen and
top Fruholmen are peaks (increases in acoustic impedance). The Stø
Formation, which falls between the Fuglen and Fruholmen tops, is a prolific
petroleum reservoir. Five different seismic interpretation methods (Exps. 1–5) were used with the aim of systematically studying how seismic
interpretation techniques (Fig. 2a) influence the fault analysis workflow
(Fig. 2b). The first three experiments are manual 2D auto-tracking horizon
interpretation techniques with different IL and XL spacing (from every 8 to
32 lines), while the fourth and fifth experiments are a combination of
automated (3D auto-tracked horizons) and manual fault interpretations. In
all experiments, the faults were interpreted first, followed by the
horizons. 2D and 3D auto-tracking of all horizons used a seed confidence of
30 % and a basic 3 <inline-formula><mml:math id="M7" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 3 seed expansion value, which pushed the
interpretation to the nearest eight seed points of the interpreted seed point on
the peak. In 2D auto-tracking, seed expansion only occurs in 2D on the IL or
XL being interpreted, while in 3D auto-tracking, the seed points extend in
both  the <inline-formula><mml:math id="M8" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M9" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> directions from the interpreted seed point to the eight nearest
seed locations. In both 2D and 3D, if a fault was encountered, the
interpretation stopped and needed to be guided to the correct horizon on the
other side of the fault. In all experiments, faults were interpreted as simple
planar features in the seismic data. Although faults are complex 3D bodies
in the subsurface, due to the seismic resolution of the data
(i.e. Wood et al., 2015),
this detail was not captured and has therefore not been considered further.</p>
<sec id="Ch1.S3.SS1.SSS1">
  <label>3.1.1</label><?xmltex \opttitle{Exp.~1: 32\,$\times$\,32}?><title>Exp. 1: 32 <inline-formula><mml:math id="M10" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 32</title>
      <p id="d1e322">The top Fuglen and top Fruholmen reflectors were interpreted on every
32nd IL (north–south) and XL (east–west) using 2D auto-tracking (Fig. 3a, columns 1 and 2). Fault sticks were interpreted perpendicular to the
average strike of the faults on every 32nd IL as largely planar
features (Fig. 3a, column 3). The IL and XL spacing of interpretation in this
experiment was equal to 400 m (every 32 ILs and XLs <inline-formula><mml:math id="M11" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 12.5 m IL and XL spacing).</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e334">Seismic interpretation methods for Exps. 1–5. <bold>(a)</bold> For Exp. 1 with 32 <inline-formula><mml:math id="M12" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 32 IL <inline-formula><mml:math id="M13" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> XL spacing, fault sticks are interpreted on every 32nd IL.
<bold>(b)</bold> For Exp. 2 with 16 <inline-formula><mml:math id="M14" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 16 IL <inline-formula><mml:math id="M15" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> XL interpretation spacing, fault sticks are
interpreted on every 16th IL. <bold>(c)</bold> For Exp. 3 with 8 <inline-formula><mml:math id="M16" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 8 IL <inline-formula><mml:math id="M17" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> XL spacing, fault
sticks are interpreted on every eighth IL. <bold>(d)</bold> For Exp. 4 with 3D auto-tracking
(complete interpretation coverage of all ILs and XLs), fault sticks are
interpreted on every fourth IL. <bold>(e)</bold> For Exp. 5 with 3D auto-tracking (columns 1 and
2, interpretation), faults are interpreted on depth slices of the tensor
attribute at a spacing of 50 m (e.g. columns 1 and 2, tensor slices). Time
estimations for the interpretation of the top Fuglen (column 1), top
Fruholmen (column 2), the two faults (column 3), and the overall time taken
for each experiment are displayed in column 4.</p></caption>
            <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://se.copernicus.org/articles/12/741/2021/se-12-741-2021-f03.png"/>

          </fig>

      <p id="d1e401">The interpretation of the two horizons and the two faults took the least
amount of time when compared to all other experiments because of the large
IL and XL spacing (Fig. 3a, column 4). Overall, this experiment was the quickest
but sparsest interpretation method. Since the interpretation was manually
conducted on an IL and XL basis, there was no quality control (QC) needed for the top Fuglen
due to the high quality of this reflector. In particularly dim areas, 2D
auto-tracking of the top Fruholmen required more manual input and some QC.</p>
</sec>
<sec id="Ch1.S3.SS1.SSS2">
  <label>3.1.2</label><?xmltex \opttitle{Exp.~2: 16\,$\times$\,16}?><title>Exp. 2: 16 <inline-formula><mml:math id="M18" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 16</title>
      <p id="d1e420">The two horizons were interpreted on every 16th IL and XL using 2D
auto-tracking of the peaks for each reflector (Fig. 3b, columns 1 and 2).
Fault sticks were interpreted on every 16th IL and are largely planar
(Fig. 3b, column 3). The IL and XL spacing in this experiment was equal to an
interpretation spacing of 200 m (every 16 ILs and XLs <inline-formula><mml:math id="M19" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 12.5 m).</p>
      <p id="d1e430">The interpretation of both the horizons and faults in this experiment took
twice the amount of time of Exp. 1, since the IL and XL spacing was halved. This
experiment was ranked the second most time-consuming and the second
sparsest overall (Fig. 3b, column 4). Since the interpretation in this
experiment was manual, a similar level of QC was needed. There was high to
lower confidence in the interpretation quality of the top Fuglen and top
Fruholmen reflectors, as described in Exp. 1.</p>
</sec>
<sec id="Ch1.S3.SS1.SSS3">
  <label>3.1.3</label><?xmltex \opttitle{Exp.~3: 8\,$\times$\,8}?><title>Exp. 3: 8 <inline-formula><mml:math id="M20" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 8</title>
      <p id="d1e449">The two horizons were interpreted on every eighth IL and XL (Fig. 3c,
columns 1 and 2). Fault sticks were interpreted on every eighth IL (Fig. 3c, column 3). The IL and XL spacing in this experiment is equal to an
interpretation spacing of 100 m (every 8 IL and XL <inline-formula><mml:math id="M21" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 12.5 m).</p>
      <p id="d1e459">The horizons and faults in this experiment took approximately 3 times
longer to interpret than Exp. 1. This experiment was the densest of the
manual interpretation methods (Exps. 1–3) and was therefore the most
time-consuming (Fig. 3c, column 4). The quality control and interpretation
confidence of the two reflectors is as described for Exps. 1 and 2.</p>
</sec>
<sec id="Ch1.S3.SS1.SSS4">
  <label>3.1.4</label><title>Exp. 4: 3D tracked method with dip-parallel fault sticks</title>
      <?pagebreak page747?><p id="d1e471">Horizons were tracked using the 3D auto-tracking algorithm in
Petrel™, which resulted in complete interpretation coverage
(all ILs and XLs interpreted) for the top Fuglen compared to almost complete
coverage for the top Fruholmen (Fig. 3d, columns 1 and 2). Initially, we
planned to apply a 3D automated fault interpretation method
(Adaptive Fault Interpretation; Cader, 2018) for this
experiment, but the algorithms currently available do not provide
geologically realistic fault sticks that could be used in our workflow. As a
result, fault sticks were interpreted on every fourth IL to capture the
densest and most geologically realistic morphologies possible (Fig. 3d,
column 3). The IL and XL spacings of horizon and fault interpretations in this
experiment are 12.5 m (every IL and XL <inline-formula><mml:math id="M22" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 12.5 m spacing) and 50 m (every 4 ILs <inline-formula><mml:math id="M23" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 12.4 IL spacing), respectively. A 30 % seed confidence and a basic 3 <inline-formula><mml:math id="M24" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 3
seed point expansion were set in the auto-tracking of these surfaces.</p>
      <p id="d1e495">The 3D auto-tracked interpretation of the top Fuglen was the fastest method
as the reflector is well-imaged and therefore easily auto-tracked (Fig. 3d,
column 1). The top Fruholmen was a little slower to run through the
auto-track due to its poor seismic imaging (Fig. 3d, column 2). As a result,
the top Fruholmen required more manual guidance for the auto-track to be
successful, but it was still faster than all three manual interpretation
methods (Exps. 1–3). The fault interpretation for this experiment was the
most time-consuming as the spacing of fault sticks was the densest (Fig. 3d,
column 3). Overall, Exp. 4 was tied for the second fastest to interpret (Fig. 3d, column 4), but it also contains the highest density of interpretation
lines for both the horizons and faults. The QC of the top Fuglen was
completely unnecessary in this small study area as the reflector was strong
and easily auto-tracked. The QC of the top Fruholmen was more important
since the reflector imaging is quite poor in some areas. The interpretation
confidence for this case is high to moderately high for the top Fuglen and
top Fruholmen, respectively.</p>
</sec>
<sec id="Ch1.S3.SS1.SSS5">
  <label>3.1.5</label><title>Exp. 5: 3D auto-tracked horizons with horizontal (strike-parallel)
fault sticks</title>
      <p id="d1e506">This experiment used the same 3D auto-tracked horizons as discussed in Exp. 4
(Fig. 3e, columns 1 and 2, interpretation). However, faults were manually
interpreted horizontally on depth slices spaced every 50 m using the tensor
attribute to guide the interpretation (e.g. Fig. 3e, columns 1 and 2, tensor
slices). The tensor attribute is generated using a symmetric and
structurally oriented tensor, which detects the localized reflector
orientation and is sensitive to changes in both the amplitude and continuity
of the seismic reflectors (Bakker, 2002). This attribute was
chosen as it is a well-known fault-enhancing attribute and is widely used in
fault interpretation
(e.g.
Botter et al., 2016b; Cunningham et al., 2019). The resulting fault sticks
(Fig. 3e, column 3) have a high degree of horizontal curvature as each stick
traces a fault's entire lateral extent. Although the results have the same
fault morphology as Exp. 4, the horizontal fault sticks look quite different
than the planar dip-parallel fault sticks in all other experiments (Fig. 3,
column 3).</p>
      <p id="d1e509"><?xmltex \hack{\newpage}?>The fault interpretation for this experiment was time-consuming as it
required the generation of a tensor attribute prior to interpretation (Fig. 3e, column 4). Once the attribute was produced, the time to generate the
fault interpretation was in the middle range of the time used for the other
experiments. The interpretation confidence of the two reflectors is as
described in Exp. 4.</p>
</sec>
<sec id="Ch1.S3.SS1.SSS6">
  <label>3.1.6</label><title>A comparison of horizon and fault surface grids</title>
      <p id="d1e521">The horizon interpretations and fault sticks were gridded into horizons and
fault surfaces using the seismic 12.5 m grid spacing. The horizon surfaces
were generated to stay true within <inline-formula><mml:math id="M25" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 5 m of the interpretations for each
of the five experiments, and no post-processing smoothing techniques were
applied to the horizon gridding. Fault sticks in all five experiments were
made into surfaces using a 50 m triangulated surface algorithm. This method
was chosen as it generated a surface that was closest to the original fault
stick interpretations. The fault and horizon surfaces were used as the input
for the fault analysis workflow.</p>
      <p id="d1e531">To understand the relative differences between the horizons from each
experiment, thickness maps were generated between the most densely
interpreted 3D auto-tracked horizons (Exps. 4 and 5) and the horizons
generated from each of the manually based experiments (Exps. 1–3). Anywhere
there is a good correlation between the auto-tracked and manual
surfaces, there is very little or no thickness change, while in the case of
a poor correlation, a greater range in thickness may result.</p>
</sec>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Fault length and morphology</title>
      <p id="d1e543">Fault length (Fig. 4a) is defined as the maximum horizontal distance of a
fault in three dimensions
(Peacock et al., 2016;
Walsh and Watterson, 1988). An analysis of fault length was conducted on the
western and eastern faults (Fig. 1b, d) using the gridded fault surfaces.
These data were extracted from the edge of the study area to the fault
tipline for both faults. The data were graphically compared to understand
the impact of the interpretation method on fault length.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e548">Fault schematic and fault throw calculation method. <bold>(a)</bold> 3D diagram
of an isolated normal fault showing the displacement field, hanging wall and
footwall cutoff lines, fault length and width, dip separation, throw, and
heave. <bold>(b)</bold> Map view of a fault with trim and patch distances used in the
determination of hanging wall and footwall cutoff lines
(Modified from Yielding and Freeman, 2016, p. 164). The
patch and trim distances used in this analysis were 150 and 75 m,
respectively. Concepts in this figure are based on findings from
Barnett
et al. (1987), Elliott et al. (2012), Rippon (1985), Walsh and Watterson (1987,
1988), Watterson (1986), Wilson et al. (2009), and Yielding and Freeman (2016).</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://se.copernicus.org/articles/12/741/2021/se-12-741-2021-f04.png"/>

        </fig>

      <p id="d1e563">To analyse fault morphology, the horizon surfaces described in Sect. 3.1.6
were used. In creating the surfaces, all horizon interpretations that fall
within the fault polygons were removed, leaving behind a gap in the surface
where the faults' extent and morphology through that horizon are clear.
These fault polygons were generated using patch and trim distances; this is
explained in detail in Sect. 3.3. The analysis of morphology considers these
voids in the horizon surfaces. The graphical representations of fault throw
(Sect. 3.3) can also be used to understand fault length.</p><?xmltex \hack{\newpage}?>
</sec>
<?pagebreak page748?><sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Fault throw</title>
      <p id="d1e575">Fault throw is defined as the vertical component of dip separation on a
fault (Fig. 4a). Fault throw along the length of an isolated fault typically
follows a trend whereby the highest throw occurs in the centre of the fault
and progressively decreases towards the tiplines
(Barnett et al.,
1987; Walsh and Watterson, 1990; Fig. 4a, inset). In this study, a separate
fault throw analysis was created for each of the five experiments. To
calculate throw, hanging wall and footwall cutoff lines were produced for
the top Kolje, top Fuglen, and top Fruholmen in each experiment using patch
and trim distances on both faults of 150 and 75 m, respectively
(Fig. 4b). These deal with the poor seismic image close to the fault: horizon data
within the trim distance are rejected, while those within the patch distance
are used to extrapolate the horizon onto the fault
(e.g.
Elliott et al., 2012; Wilson et al., 2009, 2013). The top Kolje (Fig. 1c, d)
was used only to help in any lithological projections in the sections to
follow. This younger horizon is only partially folded at the western margin
of the western fault, so it is not discussed further with respect to
deformation. The cutoff lines and their dip separation were then used to
calculate the throw across the fault surface (Fig. 4a, bottom left inset).
The results were displayed directly on the fault plane, and they were also
graphed to understand how fault throw changes across each of the
experiments.</p>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Dip separation gradient and strain</title>
      <p id="d1e586">The dip separation gradient and the longitudinal and shear strains are
useful tools for QC seismic interpretations
(Freeman et al., 2010). The dip separation
gradient was calculated using the top Kolje, top Fuglen, and top Fruholmen
cutoff lines. The longitudinal strain (also known as the vertical gradient)
is the dip separation gradient in the direction of fault dip, while shear
strain (horizontal gradient) is the dip separation gradient along the strike
of the fault
(Freeman et al.,
2010; Walsh and Watterson, 1989). In this study, we use the principles
introduced in Freeman et al. (2010) to analyse these measurements. This can
help us to understand how the different seismic interpretations produce
results that differ from what is considered geologically realistic and to
compare how the different methods affect the value of these properties.</p>
</sec>
<sec id="Ch1.S3.SS5">
  <label>3.5</label><title>Juxtaposed lithology</title>
      <p id="d1e597">Juxtaposed lithology (a.k.a. an Allan diagram) is a representation of the
hanging wall and footwall lithologies and their juxtaposition on the fault
plane  (Allan, 1989; Knipe, 1997).
To calculate juxtaposed lithology (JL), horizons, faults, and a well (NO 7120/6-1, Fig. 1b, d) containing lithological information were used. JL was
calculated using the resulting horizon and fault surfaces from the five
experiments. The key lithological units were defined in the well using a
combination of logs, core photographs, information from Norwegian Petroleum Directorate (NPD) fact pages,
and post-well reports. Sonic and density logs were used to generate a well
synthetic seismogram, which was tied to the seismology. Using the same hanging
wall and footwall cutoff lines as in the fault throw analysis and the
interpreted horizons as guiding surfaces, the well lithologies were
projected onto the faults and used to generate a JL (Allan) diagram.</p>
</sec>
<sec id="Ch1.S3.SS6">
  <label>3.6</label><title>Geological modelling and hydrocarbon volume calculations</title>
      <p id="d1e608">The geological modelling and volume calculations were conducted on the least
and most densely interpreted experiments (Exps. 1 and 4). This analysis was
completed using a combination of structural and property modelling workflows
in Petrel™, and the 5 <inline-formula><mml:math id="M26" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 5 km study area was considered to
represent the limits of the hydrocarbon field. Firstly, fault and horizon
surfaces from Sect. 3.1 were used to create a structural model for each
experiment (Fig. 5a). A 3D corner-point grid<?pagebreak page749?> was generated, and the cells
were then populated between the top Fuglen and top Fruholmen horizons using
a grid cell size of 12.5 <inline-formula><mml:math id="M27" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 12.5 <inline-formula><mml:math id="M28" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1 m (<inline-formula><mml:math id="M29" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M30" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M31" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> direction), matching the
resolution of the original horizon surfaces (Fig. 5b). These two horizons
define the main reservoir interval
(Fig. 5e;
Linjordet and Olsen, 1992; Ostanin et al., 2012). In the depth (<inline-formula><mml:math id="M32" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>)
direction, the cells were divided using the proportional method with an
approximate thickness of 1 m (<inline-formula><mml:math id="M33" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 250 cells in total between the
Fuglen and Fruholmen top surfaces). The grid follows the shape of the
interpreted horizons precisely and the grid pillars align with the fault
dip, making an accurate geological representation (Fig. 5b). The faults were
included into the grid as zigzag faults, meaning they were not precisely
represented in <inline-formula><mml:math id="M34" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M35" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>, but the detailed grid resolution cancelled out most
of this effect. Facies and porosity data (Fig. 5c) were upscaled from the
logs of a single well (NO 7120/6-1) to the grid cells at the well locations,
and then they were populated across the structural models for each
experiment. The facies were extrapolated using the sequential indicator
simulation method (Fig. 5d). For simplicity, all sands were considered to be
a net reservoir. A constant oil saturation of 0.9 was used over the whole
model for cells located inside the oil leg. Finally, an area-wide oil–water
contact (OWC) was placed at a depth of 2420 m, the deepest point of the top
Fuglen surface within the model area, to simulate a spill point with a
footwall trap. Volumes were calculated, including gross rock volume, pore
volume, and in-place hydrocarbon volume (STOIIP), for both Exps. 1 and 4 (Fig. 5f). This simplified modelling was used to quantify the effects of
the interpretation methodology on the hydrocarbon-related volume calculations.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e684">Reservoir modelling and calculation of petroleum volume method.
<bold>(a)</bold> Creation of the structural model. <bold>(b)</bold> Establishing gridded layers
between the top Fuglen and top Fruholmen. <bold>(c)</bold> Upscaling of well logs from
well 7120/6-1. <bold>(d)</bold> Populating facies and properties such as porosity into
the individual grid cells using the upscaled well log data. <bold>(e)</bold> Drawing an
oil–water contact across the study area. This OWC simulates a spill point at
the lowest point of the top Fuglen. <bold>(f)</bold> Running the calculation of petroleum
volumes.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://se.copernicus.org/articles/12/741/2021/se-12-741-2021-f05.png"/>

        </fig>

      <p id="d1e712">For the volume calculations, there was a concern that any differences
between Exps. 1 and 4 might be caused, or at least exaggerated, by the
stochastic facies and porosity modelling. Different facies and porosity
realizations will result in different volumes. We needed to be certain that
any variations in volume were caused by the different interpretation
methods and not by the stochastic property modelling. Several options were
examined to negate this possibility. As the grids are identical in their <inline-formula><mml:math id="M36" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>,
<inline-formula><mml:math id="M37" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>, and <inline-formula><mml:math id="M38" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> dimensions, it was expected that Petrel™ would produce the
same realization in the two grids when the same seed number was selected;
this proved to be an incorrect assumption. The method selected to make sure
that the same realizations were being used, and to ensure that an extreme
case was not being selected, was to (1) generate 100 realizations on the Exp. 1 grid, (2) copy all 100 realizations to the Exp. 4 grid, and (3) run the volumetric
analysis on all realizations for both grids. Once the volumes had been
calculated for 100 realizations on each grid, they were analysed to
determine the average volumes. This negated the possibility of selecting an
extreme case. Using the same set of realizations in the two experiments
meant that the differences in volumes could be assigned, with certainty, to
the differences in interpretation methods used.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Results</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Seismic interpretation</title>
      <p id="d1e753">Five seismic interpretation experiments (Fig. 3) were analysed to understand
the effect that the interpretation methodology has on the resulting fault
and horizon surfaces.</p>
      <p id="d1e756">Firstly, it is important to consider the areal coverage and visible patterns
contained in the interpretation before it is converted into surfaces (Fig. 3). When analysing the interpretation of the top Fuglen and top Fruholmen,
Exps. 1–4 have an increase in interpretation density (the horizon
interpretation of Exps. 4 and 5 is the same; Fig. 3a–d). All the horizon
interpretations show the same general trends in topography, but as expected,
the topography is more detailed and most sharply defined in the most densely
interpreted data<?pagebreak page750?> (Exps. 4 and 5; Fig. 3d, e). The top Fuglen is the most
clearly imaged reflector, which resulted in complete interpretation coverage
in all experiments (i.e. no gaps in the interpreted lines; Fig. 3). The
clear imaging of this reflector is especially evident in the auto-tracked
horizon in Exps. 4 and 5 (Fig. 3, top Fuglen). The top Fruholmen is a poorly
imaged reflector, which consequently resulted in gaps in the interpreted
lines (Fig. 3, top Fruholmen). The areas lacking interpretation of this
reflector are evident in all experiments, but they are most clear in the
auto-tracked horizon (Fig. 3d, e; top Fruholmen). The fault polygons for
the two horizons do appear to have the same general trends, but this will be
discussed in detail in the next section.</p>
      <p id="d1e759">The horizon and fault interpretations were converted into surfaces. The
horizon surfaces show the same general patterns with respect to topography
in all the experiments (Fig. 6). Generally, all top Fruholmen structure maps
show a topographic low on the north (hanging wall) side of each fault. The
footwall blocks are uplifted relative to the hanging walls, and the points
of highest elevation are located adjacent to the faults (Fig. 6, top
Fruholmen). In the top Fuglen surface, the same overall topographic patterns
are evident, but the amount of footwall uplift and depth of topographic lows
on the hanging wall are less than on the top Fruholmen surface (Fig. 6a).
The greatest differences between the experiments occur in areas where the
lateral continuity of the interpretations were disrupted due to the presence
of a fault, where horizon interpretations do not continue across the fault
plane, and when the interpretation density was low (Exps. 1–3; Fig. 6a–c). In
these cases, it is possible to identify topographic features near the
faults, which are clearly artefacts (Fig. 6a–b; Exps. 1–2, white arrows).</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F6"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e765">Structure maps of the two interpreted horizons: top Fuglen and top
Fruholmen (left and right columns, respectively). <bold>(a)</bold> Exp. 1 (32 IL <inline-formula><mml:math id="M39" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 32 XL
interpretation, every 32nd IL fault), <bold>(b)</bold> Exp. 2 (16 <inline-formula><mml:math id="M40" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 16, every
16th IL fault), <bold>(c)</bold> Exp. 3 (8 <inline-formula><mml:math id="M41" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 8, every eighth IL fault), <bold>(d)</bold> Exp. 4
(3D auto-tracked horizons, every fourth IL fault), <bold>(e)</bold> Exp. 5 (3D
auto-tracked horizons, faults every 50 m depth slice).</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://se.copernicus.org/articles/12/741/2021/se-12-741-2021-f06.png"/>

        </fig>

      <p id="d1e811">To better visualize the surface anomalies, thickness difference maps were
generated between the surfaces of Exps. 1–3 and the most dense surfaces of
Exps. 4–5. Visual inspection indicates that surfaces 1–3 all contain
interpretation anomalies. The difference maps show a decrease in thickness
difference with increasing interpretation density (Exps. 1–3). The maps
also show that the top Fuglen surfaces are a closer match to the
auto-tracked horizon than the top Fruholmen (Fig. 7).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e816">Difference maps of the horizon surfaces for the top Fuglen and top
Fruholmen in experiments 1 <bold>(a)</bold>, 2 <bold>(b)</bold>, and 3 <bold>(c)</bold>. The auto-tracked horizon
surfaces in Exps. 4 and 5 are the best-case scenario. Difference maps were
computed by subtracting the experiments' interpreted horizons from the
auto-tracked horizons.</p></caption>
          <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://se.copernicus.org/articles/12/741/2021/se-12-741-2021-f07.png"/>

        </fig>

      <?pagebreak page751?><p id="d1e834">Exp. 1 shows the most significant differences from the 3D auto-tracked
horizons due to a sparse interpretation grid and the introduction of
gridding anomalies (Fig. 7a). The thickness anomalies in both the top Fuglen
and top Fruholmen can measure <inline-formula><mml:math id="M42" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 30 m from the 3D auto-tracked surface,
and the anomalous areas are up to 400 m wide and long (i.e. comparable to
the interpretation spacing; Fig. 7a). The top Fuglen from Exp. 1 correlates
moderately well in unfaulted areas, and all the major anomalies occur close
to the faults (Fig. 7a, top Fuglen). On the hanging wall side of the faults
the anomalies are predominantly depressions (i.e. a sparse interpretation grid
generates a surface that is too deep), while on the footwall side the
anomalies trend upward (i.e. the surface from the sparse grid is too
shallow). The top Fruholmen from Exp. 1 is more anomalous across the entire
surface; there is no clear correlation between the tendencies of the
anomalies on the hanging wall and footwall (Fig. 7a, top Fruholmen). The
areas of divergence occur in the gaps between interpreted ILs and XLs.</p>
      <p id="d1e844">Exp. 2 exhibits much less significant changes in thickness with respect to
the auto-tracked horizons on both the top Fuglen and top Fruholmen (Fig. 7b). For the top Fuglen, a pattern like Exp. 1 is observed; most thickness
anomalies occur near the faults and correspond to gaps in the interpretation
(Fig. 7b, top Fuglen). The top Fruholmen is more chaotic, but in this case
the anomalies are smaller (up to 200 <inline-formula><mml:math id="M43" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 200 m) and exhibit smaller thickness
differences (<inline-formula><mml:math id="M44" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> 15 m) than in Exp. 1. Like in Exp. 1, the thickness
differences in both the top Fuglen and Fruholmen correlate with gaps in the
interpretation.</p>
      <p id="d1e862">Finally, the thickness anomalies for Exp. 3 show the same trends as in Exps. 1
and 2, but again they are smaller in area (up to 100 <inline-formula><mml:math id="M45" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 100 m) and magnitude
(<inline-formula><mml:math id="M46" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> 5 m; Fig. 7c). The anomalies occur at points of gaps in the
interpretation. The thickness anomalies in the top Fuglen are almost always
observed near the faults, while those on the top Fruholmen are more
widespread across the whole surface (Fig. 7c). It is important to keep in
mind that the top Fuglen has complete areal coverage in the study area,
while the top Fruholmen does not. In Exps. 1–3, the thickness anomalies in
the top Fruholmen structure maps are in some instances linked to
inconsistencies in the auto-tracked horizon.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Fault length and morphology</title>
      <p id="d1e887">Fault polygons are displayed on structure maps (Fig. 6) and plotted
graphically (Figs. 8, 9) to show how fault length and morphology change with
the interpretation method. Generally, fault length on the interpreted
horizons increases with interpretation density from Exp. 1 (shortest faults)
to Exps. 4 and 5 (longest faults). These observations are clear for both the top
Fuglen (Fig. 8a, b) and the top Fruholmen (Fig. 8c, d). In Exp. 5 (horizontal
fault sticks), the eastern fault is longer than the fault interpreted by
vertical fault sticks in Exp. 4, while the western fault is shorter than in
Exp. 4 (Fig. 8).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><?xmltex \currentcnt{8}?><?xmltex \def\figurename{Figure}?><label>Figure 8</label><caption><p id="d1e892">Length of the western and eastern faults for the top Fuglen (<bold>a, b</bold>,
respectively) and the top Fruholmen (<bold>c, d</bold>, respectively).</p></caption>
          <?xmltex \igopts{width=503.61378pt}?><graphic xlink:href="https://se.copernicus.org/articles/12/741/2021/se-12-741-2021-f08.png"/>

        </fig>

      <?pagebreak page752?><p id="d1e907">The morphology of the faults also changes with interpretation. In Exp. 1,
there is a minimal amount of interaction between the two very straight
faults forming the relay (Fig. 6a). In Exp. 2, the faults are also straight
and do not appear to interact (Fig. 6b). In experiments 3 to 5, the
northward curvature and lengthening of the eastern faults towards the
western fault increase, which suggests that the relay is close to breaching
or may even be breached (Fig. 6c–e). This near-breach relay is evident in
the top Fuglen for Exps. 4 and 5, but it is less prominent in the top
Fruholmen (Fig. 6d, e).</p>
      <p id="d1e911">The effect of the interpretation method on fault length is clearly seen in the
graph of fault trace distance versus fault throw (Fig. 9). The data in these
graphs were sampled from the interpreted fault sticks and show that in Exp. 1
there is minimal overlap between the two faults, and the amount of overlap
increases towards Exp. 4 (Fig. 9a–d). For Exp. 5, fault trace distance versus
throw shows that the eastern fault is longer, while the western fault is
shorter than Exp. 4 (Fig. 9e), which confirms our observations from Fig. 8.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><?xmltex \currentcnt{9}?><?xmltex \def\figurename{Figure}?><label>Figure 9</label><caption><p id="d1e916">Graphs of fault throw for Exps. 1–5 <bold>(a–e)</bold>. For each experiment,
fault throw was extracted to match the spacing of the interpreted fault
sticks (maximum throw for each horizon is highlighted in boxes according to
fault colour). In Exps. 1 <bold>(a)</bold>, 2 <bold>(b)</bold>, 3 <bold>(c)</bold>, and 4 <bold>(d)</bold>, the fault throw was
extracted at 400, 200, 100, and 50 m, respectively. In Exp. 5 <bold>(e)</bold>, the fault
sticks are horizontal. Since it is not possible to extract the fault throw
horizontally, the same sampling interval used in Exp. 4 (50 m) was used.</p></caption>
          <?xmltex \igopts{width=455.244094pt}?><graphic xlink:href="https://se.copernicus.org/articles/12/741/2021/se-12-741-2021-f09.png"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Fault throw</title>
      <p id="d1e952">Fault throw contours from all five interpretation experiments exhibit
generally consistent patterns (Fig. 4a) on the eastern and western faults but
also some bullseye patterns (Fig. 10a). The western fault has similar throw
magnitudes across all experiments. The lowest throws occur on the eastern
margin and the highest throws (up to 100 m) on the western side. With
increasing interpretation density, the throw results for this fault appear
smoother and more laterally extensive. For example, in Exp. 1 the western
fault shows three separate bullseye patterns, while in Exps. 2–4 it shows
a progressively smoother throw distribution (Fig. 10a). For the eastern
fault, the throw patterns are similar between experiments, but the throw
magnitudes increase with increasing interpretation density (Fig. 10a). In
Exp. 1, fault throw reaches a maximum of <inline-formula><mml:math id="M47" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 150 m on the eastern
side of the fault. For Exps. 2 and 3, the results have slightly higher
maximum throw (<inline-formula><mml:math id="M48" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 175 m), but they are segmented into
geologically unrealistic bullseye patterns (Fig. 10a). In Exp. 4, the maximum
throw of the eastern fault is up to 200 m, and the results are more
concentric, smoother, and more geologically realistic than in Exps. 1–3. Exp. 5
(fault sticks interpreted on depth slices) shows similar patterns as those
observed in Exp. 4 but with more irregularities.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10"><?xmltex \currentcnt{10}?><?xmltex \def\figurename{Figure}?><label>Figure 10</label><caption><p id="d1e971">Fault plane projections of <bold>(a)</bold> fault throw and <bold>(b)</bold> juxtaposed
lithology. The projections are imaged on both the eastern and western faults
for Exps. 1–5.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://se.copernicus.org/articles/12/741/2021/se-12-741-2021-f10.png"/>

        </fig>

      <p id="d1e986">Fault trace distance versus throw also illustrates how fault displacement is
influenced by the interpretation method (Fig. 9). As discussed before, the
fault throw of all experiments is greater on the edges of the study area
than near the relay (centre of the graphs in Fig. 9). For the western fault,
the top Fruholmen is always displaced more than the top Fuglen. For the
eastern fault, the top Fruholmen is displaced more than the top Fuglen in
Exps. 4 and 5 (Fig. 9d, e), but it exhibits similar throws as the top Fuglen in
Exps.<?pagebreak page753?> 1–3 (Fig. 9a–c). In all experiments, the throw distributions for the
top Fuglen are smoother than those for the top Fruholmen. This smoothness is
also observable in the throw fault plane projections where the bullseye
patterns occur on the top Fruholmen level. The highest throw values for the
eastern fault at the top Fruholmen in Exps. 1–5 are <inline-formula><mml:math id="M49" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 147, 155,
161, 189, and 187 m, respectively. These values occur near the eastern margin
of the study area (Fig. 9). For the western fault, the top Fruholmen peak
throw values in Exps. 1–5 are <inline-formula><mml:math id="M50" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 91, 87, 90, 97, and 92 m,
respectively. However, these peaks do not always fall near the western edge
of the study area, as the western fault is relatively constant in throw
outside the relay (Fig. 9). The top Fuglen throw on the eastern and western
faults has a similar distribution as observed for the top Fruholmen (Fig. 9). At the top Fuglen level, the eastern fault has maximum throws of
<inline-formula><mml:math id="M51" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 150, 155, 154, 155, and 149 m, and the western fault has maximum
throws of <inline-formula><mml:math id="M52" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 77, 72, 72, 78, and 77 m for Exps. 1–5,
respectively. Figure 9 clearly shows that the trends of throw for Exp. 1 are
overly smooth, while those of Exps. 2–4 are similar. Exp. 5 shows more or less
the same result as Exp. 4, with slight changes due to the extent of the
faults.</p>
</sec>
<?pagebreak page754?><sec id="Ch1.S4.SS4">
  <label>4.4</label><title>Juxtaposed lithology</title>
      <p id="d1e1025">Lithology data projected onto the fault planes can help us to understand
how interpretation methods influence the evaluation of reservoir
juxtaposition and the potential for fault sealing. All experiments were
populated with the same lithological data from well NO 7120/6-1 (Fig. 1b,
yellow dot); the only variation is the interpretation method. On a broad
scale, the juxtaposition diagrams for the five experiments look very similar
on both the eastern and western faults (Fig. 10b). The uppermost section of
the faults is characterized by shale–shale juxtaposition (dark grey, western
fault), or it has not been characterized due to a lack of conformable top
Kolje distribution on the eastern side of the study area (light grey,
eastern fault). The next unit down is a homogenous sand–sand interval,
followed by a shale–shale section at the fault centres, which is segmented
by thin sand–sand units. Finally, the deepest lithology juxtaposition is
another homogeneous sand–sand unit. On closer examination, however, comparison of
the different experiments reveals that the lateral extent and definition of
the intra-shale sand overlaps improve with increasing interpretation density
(Fig. 10b). This is especially true when comparing the least dense seismic
interpretation (Exp. 1) to the densest one (Exp. 4). Exp. 5 follows the same
pattern as Exp. 4 in areas where the juxtaposed lithology ran smoothly, but
there are some issues with the juxtaposition (light grey triangle at the base of
the eastern fault, Fig. 10b). This anomaly is caused by a limitation in the
software, whereby the horizontal interpretation of the fault on depth slices
results in some sections of the fault having vertical dips. It is not
possible to generate juxtaposition diagrams in these vertical fault areas.</p>
</sec>
<sec id="Ch1.S4.SS5">
  <label>4.5</label><title>Dip-slip gradients (longitudinal and shear strain)</title>
      <p id="d1e1037">Dip separation gradient (DSG) as well as longitudinal and shear strain (Freeman et
al., 2010) were calculated to understand variations in interpretation
confidence between the experiments. The results for the dip separation gradient
are similar across all five experiments (Fig. 11a). In general, the largest
DSG (<inline-formula><mml:math id="M53" display="inline"><mml:mi mathvariant="italic">&gt;</mml:mi></mml:math></inline-formula> 0.2) occurs at the top Fruholmen level. The western fault
has a larger distribution of high DSG values in the western top part (0.125
gradient) and a main bullseye on the eastern side (Exps. 1, 3–5; Fig. 11a).
The eastern fault has the same three to four bullseyes occurring in all experiments,
but Exp. 1 has the lowest DSG values.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11" specific-use="star"><?xmltex \currentcnt{11}?><?xmltex \def\figurename{Figure}?><label>Figure 11</label><caption><p id="d1e1049">Fault plane projections of <bold>(a)</bold> dip separation gradient, <bold>(b)</bold> longitudinal strain, and <bold>(c)</bold> shear strain. The projections are imaged on both
the eastern and western faults for Exps. 1–5.</p></caption>
          <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://se.copernicus.org/articles/12/741/2021/se-12-741-2021-f11.png"/>

        </fig>

      <p id="d1e1067">The longitudinal strain (LS) patterns are similar to those observed in the
DSG results (Fig. 11b). The colour bar for longitudinal strain is set so any
values outside a geologically realistic threshold
(Freeman et al., 2010) occur as red
(LS <inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:mi mathvariant="italic">&gt;</mml:mi><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula>) or purple (LS <inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula>). The results for LS for
all experiments are similar and exhibit values that are within the defined
threshold. In the western fault for Exp. 1, unrealistic LS values at the top
Fruholmen level on the eastern side suggest a problem with the
interpretation (Fig. 10b, top row). This problem is not present in the other
experiments. High (green) LS values in the western upper half of the western
fault in Exps. 1–4 are within the acceptable threshold (Fig. 10b). These high
values coincide with the area between the top Kolje and top Fuglen. The
eastern fault has the same LS bullseyes across its centre as observed in
DSG, but they are mostly within the established threshold. In Exps. 4 and 5,
there are two areas above the high LS thresholds (red) at the top Fruholmen
level (Fig. 11b, black asterisks). All areas above threshold LS values (red,
pink) are less than 250 m across.</p>
      <p id="d1e1093">For the shear strain (SS), the colour bar is also set to display
geologically unrealistic values (<inline-formula><mml:math id="M56" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> 0.05; red and pink, Fig. 10c)
(Freeman et al., 2010). Although SS highlights more problematic areas and
places more stringent constraints on the interpretation, it indicates
extreme highs and lows of SS at the overlap of the western and eastern
faults, respectively (Fig. 10c, black arrows). The overlapping sections of
the faults are more laterally extensive from Exps. 1 through 5, which is
reflected in the lateral extent of extreme SS. Localized (<inline-formula><mml:math id="M57" display="inline"><mml:mi mathvariant="italic">&gt;</mml:mi></mml:math></inline-formula> 250 m) SS bullseyes highlight some slight interpretation problems discussed
before in relation to LS (Fig. 11c, black asterisks). Due to the high degree
of similarity between the experiments, no attempt has been made to analyse
SS variations any further.</p><?xmltex \hack{\newpage}?>
</sec>
<?pagebreak page755?><sec id="Ch1.S4.SS6">
  <label>4.6</label><title>Reservoir modelling and hydrocarbon volume calculations</title>
      <p id="d1e1119">In order to test the implications of interpretation techniques for
hydrocarbon volume calculations, the least and most densely populated
experiments (Exps. 1 and 4) were input through a geological modelling
workflow (Fig. 5). A 5 <inline-formula><mml:math id="M58" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 5 km geological model was generated for each
experiment (Fig. 12a, b) and used to calculate the bulk rock volume, pore
volume, and STOIIP (Fig. 9c, d).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12" specific-use="star"><?xmltex \currentcnt{12}?><?xmltex \def\figurename{Figure}?><label>Figure 12</label><caption><p id="d1e1131">Reservoir modelling and calculation of petroleum volumes. <bold>(a)</bold> The
geological model for Exp. 1. <bold>(b)</bold> The geological model for Exp. 4. <bold>(c)</bold> Graphical representation of the petroleum volume calculations for both
experiments. <bold>(d)</bold> Percent difference of the petroleum volume calculation
between the experiments.</p></caption>
          <?xmltex \igopts{width=469.470472pt}?><graphic xlink:href="https://se.copernicus.org/articles/12/741/2021/se-12-741-2021-f12.png"/>

        </fig>

      <p id="d1e1152">There are significant differences in fault morphology, horizon resolution,
and lithology distribution between the two geological models. In Exp. 1, the
surface anomalies observed in the structure maps (Sect. 4.1, Fig. 6 arrows)
are also evident in the 3D grid at the top and base of the gridded interval
(Fig. 12a, inset a, label 1). Since the top Fuglen and Fruholmen are used as
the input to define the top and base of the gridded interval and the cells
within, the surface anomalies also greatly impact the facies distribution in
Exp. 1, which undulates to match these anomalies. These facies undulations can
be observed on the exposed footwall of the eastern fault and on the eastern
geological model boundary, as the facies pull upwards towards the footwall
(Fig. 12a, inset a, label 1). In Exp. 1, there are also some problems with
respect to the exposed fault planes where some shale cells have bled up and
down the fault planes, creating unrealistic peaks (Fig. 12a, inset label 2).
This results in poor modelling of the relay ramp structure, although the
exposed footwall and hanging wall blocks appear relatively smooth (Fig. 12a,
inset a, label 3).</p>
      <p id="d1e1156">In Exp. 4, the facies distributions do not have the same undulations that are
observed in Exp. 1. This result is more or less expected since these
anomalies were not evident in the top Fuglen and Fruholmen, which define the
grid. Flat, more geologically representative facies distributions are clear
on the uplifted footwall of the eastern and western faults, as well as on the
exposed eastern boundary of the model (Fig. 12b, inset b, label 1). A
“bleeding of facies” occurs on the margins of the model and slightly on the
edges of the faults (Fig. 12b). The relay ramp is much more clearly defined
in this experiment than in Exp. 1 (Fig. 12b, yellow arrow). The faults<?pagebreak page756?> are
better defined with respect to length and morphology, but the high density
of interpreted fault sticks means that the fault planes have vertical jumps
between grid cells in the 3D grid (Fig. 12b, unset b, label 3).</p>
      <p id="d1e1159">Bulk rock volume, pore volume, and oil (STOIIP) were calculated for both
geological models using an oil–water contact of 2420 m (Fig. 12a, b; OWC).
This contact was chosen to mimic a spill point at the lowest point of the
top Fuglen. The volumetric analysis was run on each of the 100 realizations,
and the results presented are given as their average. The stochastic facies and
porosity realizations used in these calculations were identical for the two experiments, which allowed any volume differences to be assigned to the
impact of the resolution of the interpretation. The volumetric calculations
for Exp. 4 were always slightly larger than Exp. 1. The bulk volumes for Exps. 1 and 4 are 1548.7 and 1554.2 <inline-formula><mml:math id="M59" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M60" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:math></inline-formula> m<inline-formula><mml:math id="M61" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula>, respectively (a
difference of 0.36 %). For pore volume, values of 136.8 and 137.4 <inline-formula><mml:math id="M62" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M63" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:math></inline-formula> m<inline-formula><mml:math id="M64" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> were calculated from Exps. 1 and 4, respectively, which is
a difference of 0.46 %. Finally, the calculation of oil in place (STOIIP)
resulted in 123.1 <inline-formula><mml:math id="M65" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M66" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:math></inline-formula> m<inline-formula><mml:math id="M67" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> for Exp. 1 and 123.7 <inline-formula><mml:math id="M68" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M69" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:math></inline-formula> m<inline-formula><mml:math id="M70" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> for Exp. 4 (a difference of 0.46 %).</p>
      <p id="d1e1264">The volumes in Exp. 4 are slightly larger than in Exp. 1, with the increase in
the bulk rock volume carried through the pore volume and STOIIP
calculations. However, the percentage differences are very small: less than
0.5 % for all metrics.</p>
</sec>
</sec>
<sec id="Ch1.S5">
  <label>5</label><title>Discussion</title>
<sec id="Ch1.S5.SS1">
  <label>5.1</label><title>Implications on horizons and faults morphologies</title>
      <p id="d1e1283">The seismic interpretation method had a significant impact on all aspects of
the fault analysis workflow. We found that both Exps. 4 and 5 provided the
most geologically accurate representation of the morphologies of horizons,
faults, and their intersections. The eastern fault was longest in Exp. 5,
while the western fault was longest in Exp. 4, which suggests that a combination of the
methods (i.e. vertical and horizontal interpretation) would be the most
rigorous approach to fault interpretation. The horizons in Exps. 4 and 5 were
quick to interpret because of 3D auto-tracking, and they were also the most
detailed. When interpreting the top Fuglen there was no need for a QC
process since the imaging of this reflector was clear and the final surface
did not contain any<?pagebreak page757?> artefacts in the interpretation (Fig. 7, top Fuglen
columns). The top Fruholmen needed some manual guidance and QC, and it did have some
interpretation artefacts, but this was unavoidable due to the poor seismic
quality (Fig. 7, top Fruholmen columns). The interpretation of faults was
slightly more time-consuming for Exp. 5 relative to 4, but the attribute
volume increased the understanding of fault morphology and length compared
to Exp. 4 (see Fig. 8, fault lengths). Exp. 1 is considered to be a
failure with respect to observed geological morphologies, and this
methodology cannot be recommended as a method for fault interpretation, even
though it was very time-efficient. The sparsity of the horizons and fault
interpretations led to inaccuracies and gridding anomalies proportional to
the spacing of the interpreted inlines (400 m), reduced fault length (Fig. 8, up to 400 m difference between Exps. 1 and 4, western fault), and
incomplete understanding of the relay morphology. Exps. 2 and 3 were an
improvement on Exp. 1, as expected. They captured some important information
but not as much as Exps. 4 and 5. The differences between Exps. 2 and 3 were much
less significant than those between Exps. 1 and 2. As such, if manual
interpretation of faults is required, Exp. 2 should be considered  the
minimum acceptable interpretation density for performing a detailed fault
analysis workflow.</p>
      <p id="d1e1286">The two aspects of the fault analysis workflow that were the most affected
by the interpretation method were fault length and throw. Both the length
and throw of the faults differed dramatically depending on interpretation
density, which in turn had a large influence on the apparent morphologies of
the faults and of the relay ramp (Figs. 8–10). The knock-on effects of these
are because the fault lengths and throws impact all other aspects of the
workflow. Overall, comparison of the most and least densely interpreted
datasets (Exps. 4–5 and 1, respectively) shows that the length, morphology, and
throws were different at both the top Fuglen and Fruholmen level (Figs. 7–10).</p>
      <p id="d1e1289">The impact of the interpretation method on the length, morphology, and throw
profiles in the relay is critical to understand its formation. Fault
displacement–throw relationships in relay ramps are dependent on the stage
of relay development in question (Fig. 13). In the first stage of relay
development, the faults do not overlap and therefore exhibit isolated fault
throw profiles (Barnett et al.,
1987; Fig. 13a–b). Stage 2 of relay development is defined by the
propagation of faults to form a relay ramp (Fig. 13c). Fractures break up
the ramp (that in our case are sub-seismic resolution) and accommodate some
of the strain of the relay (Larsen, 1988; Peacock
and Sanderson, 1994). The throw profiles of the faults interact, and the
total throw of the overlapping fault segments is accommodated by the relay
ramp (Peacock and Sanderson, 1994; Fig. 13d). The fault
extents and throw profiles for Exp. 1 (Figs. 9a, 10a) fall somewhere between
Stages 1 and 2, wherein there is a slight overlap of the faults, but a relay is
only just starting to form (Fig. 6a). This is because Exp. 1 does not
properly capture the full length of the fault. Stage 3 of relay development
is defined as when the faults have continued to propagate and fractures have
begun to spread through the relay structure, as it is near the maximum
amount of strain it can accommodate
(Long and Imber, 2012; Peacock and
Sanderson, 1994). The propagation of the fault tips toward the relay and
increased fault overlap are evident (Fig. 13e–f). Stage 4 of relay
development defines the destruction (breaching) of the relay ramp and the
formation of branch lines between the two relay-forming faults
(Peacock and Sanderson, 1994). The original tiplines of the
fault are no longer active, and the faults are now joined along branch lines
formed in the weakened and sheared ramp margins (Fig. 13g–h). When analysing
Exps. 4 and 5, the morphologies are comparable to those observed in Stage 3 of the
relay formation. The northward propagation and curvature of the eastern
fault tipline are clear, and there are likely fractures forming in the relay
that are below the resolution of the seismic data. The relay in Exps. 4 and 5 has
not breached on either the top Fuglen or Fruholmen level, although it is
very close to breaching in Exp. 5 at the top Fuglen (Figs. 6d, e, 9d, e, 10a).
The potential impact of a relay on a working hydrocarbon system and the
implications of misinterpreting the relay are discussed in
Sect. 5.2.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F13" specific-use="star"><?xmltex \currentcnt{13}?><?xmltex \def\figurename{Figure}?><label>Figure 13</label><caption><p id="d1e1295">Stages of a relay ramp and their displacement distribution. Stage
1 <bold>(a, b)</bold>, Stage 2 <bold>(c, d)</bold>, Stage 3 <bold>(e, f)</bold>, Stage 4 <bold>(g, h)</bold>. The displacement of
the isolated faults in Stage 1 follows
Barnett et al. (1987). Figure
modified from Fachri et al. (2013a), Long
and Imber (2012), Peacock and Sanderson (1994), and Rotevatn et al. (2007).</p></caption>
          <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://se.copernicus.org/articles/12/741/2021/se-12-741-2021-f13.png"/>

        </fig>

      <p id="d1e1316">A study of longitudinal and shear strain was completed to test the accuracy
of the interpretation methods (Freeman et
al., 2010). According to Freeman et al. (2010), longitudinal and shear strain values
in isolated faults should remain inside their defined threshold values
(<inline-formula><mml:math id="M71" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> 0.1 and <inline-formula><mml:math id="M72" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.05, respectively) in order for the interpretation to
be deemed accurate. High and low values of longitudinal and shear strain
were observed across all experiments, some of which are outside these
defined thresholds (Fig. 11b, c). There is a high and low shear strain
accumulation in all experiments on the western and eastern faults,
respectively, particularly in the parts of the faults exhibiting overlap
(Fig. 11c). Freeman et al. (2010)
stated that in the event of overlapping faults, higher shear strains (above
their defined limit) are to be expected in the overlapping segments of the
fault. The shear strain limits in this case are higher than could be
expected from an isolated fault (Freeman
et al., 2010). These highs and lows appear to change with interpretation
density and align with the increased overlapping of the faults (Fig. 11c,
double-ended black arrows). There were some bullseye patterns (longitudinal
and shear strain plots) which were outside the fault overlap and outside
the defined threshold strains; these are interpreted to be artefacts
produced by incorrect fault stick interpretations (Fig. 11b, c black
asterisks). It is possible that some of the bullseye patterns observed,
which did not align with interpretation spacing, are real and linked to the
coalescence of faults during their formation
(e.g. Lohr et al., 2008), but this is
outside the scope of this study and was not investigated further. It is
important to note that interpretation accuracy with respect to longitudinal
strain and shear strain was not the aim when running the initial
interpretations, and therefore it is expected that some inconsistencies are
present.</p>
</sec>
<?pagebreak page758?><sec id="Ch1.S5.SS2">
  <label>5.2</label><title>Implications for petroleum studies</title>
<sec id="Ch1.S5.SS2.SSS1">
  <label>5.2.1</label><title>Interpretation and aspects of the petroleum industry</title>
      <p id="d1e1348">Relay ramps and the faults that define them have a significant impact on
sediment distribution pathways (deposition of reservoirs), fluid flow and migration pathways, fault seal and/or juxtaposition, and trap definition
(e.g.
Athmer et al., 2010; Athmer and Luthi, 2011; Botter et al., 2017; Fachri et
al., 2013a; Knipe, 1997; Manzocchi et al., 2008a, 2010). By under-interpreting the relay with respect to fault length and throw (as discussed
in Sect. 5.1, Exp. 1), there is a clear misunderstanding of the stage of
relay development and therefore a misunderstanding of fault interactions.
Exp. 1 exhibits shorter faults with less throw and therefore a less defined
relay (Fig. 14, left column). This under-interpretation of the relay will
also have implications for our understanding of sediment distribution
pathways (Fig. 14a). Compared with the relay interpreted from Exp. 4 (Fig. 14, right column), the results of Exp. 1 (left column) also show a less
laterally continuous extent of juxtaposed sand-on-sand, resulting in
different fault sealing (Fig. 14b); an unsuccessful fluid flow schematic
whereby petroleum does not migrate towards the producer well (Fig. 14c); and
an underestimation of trap size because of the incorrect trap geometry
(Fig. 14d). These results are specific for our field area and relay morphology,
and of course they may differ with changing field parameters. The important
thing, however, is that significant differences can be generated by applying
an interpretation method that is unsuitable for the scale of the structures
that are being analysed.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F14" specific-use="star"><?xmltex \currentcnt{14}?><?xmltex \def\figurename{Figure}?><label>Figure 14</label><caption><p id="d1e1353">A Comparison of sediment distribution pathways <bold>(a)</bold>, lithological
juxtaposition and/or fault seal <bold>(b)</bold>, fluid flow <bold>(c)</bold>, and trap definition <bold>(d)</bold> on an
under-interpreted version of a relay (Exp. 1, column 1) and an accurate
interpretation of the relay (Exp. 4, column 2). Figure based on Athmer et
al. (2010), Athmer and Luthi (2011), Botter et al. (2017), Fachri et al. (2013a), Knipe (1997),
Peacock and Sanderson (1994), and Rotevatn et al. (2007).</p></caption>
            <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://se.copernicus.org/articles/12/741/2021/se-12-741-2021-f14.png"/>

          </fig>

</sec>
<?pagebreak page759?><sec id="Ch1.S5.SS2.SSS2">
  <label>5.2.2</label><title>The effect of interpretation on geological modelling</title>
      <p id="d1e1382">A geological modelling workflow was run on the least and most successful
interpretation methods (Exps. 1 and 4, respectively) in order to understand
the impact of the interpretation method on the geological model. In Exp. 1 it
is possible to identify several clear inaccuracies and problems with the
model. The problems include facies undulations, which were caused by
interpretation sparsity, facies bleeding on the fault planes, and the
apparent under-interpretation and imaging of the relay ramp due to under-interpreted faults. The observed facies undulations can have significant
implications if used in dynamic modelling such as fluid flow simulations.
Since the relay is so under-interpreted in Exp. 1, the results can be
expected to be false. This poor interpretation can have negative
implications for the geological understanding, development, production, and
drainage strategies of the field.</p>
      <p id="d1e1385">In this study, a major issue occurs with the apparent difference in
structural morphology that is created in the model. In Exp. 1, the relay is
underdeveloped due to the sparse interpretation density. Dynamic modelling
of fluid flow may not exhibit correct or realistic simulations when using
this experiment. Our observations support the conclusions of Jolley et al (2007), which proved the importance of
properly constrained fault and horizon intersections when generating
realistic geological models, and highlighted the negative impact of poor
geomodelling techniques on the static model and resulting fluid flow
simulations.</p>
      <?pagebreak page760?><p id="d1e1388">The bleeding of facies on the fault planes is caused by the low
interpretation density and is easily avoided with a denser interpretation.
Exp. 4 had more realistic horizon morphologies, more geologically realistic
facies distributions, and much less facies bleed. The only problem with this
interpretation was that the inline fault stick spacing resulted in linear
cell anomalies and unsmooth fault planes (Fig. 12b). Therefore, we suggest
that when modelling, the removal of fault sticks in the fault's centre may
provide clearer results. Deleting fault sticks is likely to result in some
loss of detail in the fault structural morphology such as undulations or
corrugations
(e.g.
Needham et al., 1996; Resor and Meer, 2009; Ziesch et al., 2017). However,
it is currently not possible to model these intricacies (and high density
fault sticks) in a geologically realistic manner using modelling
software. The optimum interpretation strategy is therefore a balance
between maintaining an adequate level of geological detail and being able
to produce a realistic and functioning geomodel.</p>
      <p id="d1e1391">Volumetric calculations using the two models revealed that the gross rock
volumes were 0.35 % larger in Exp. 4 when compared to Exp. 1, and both the
in-place hydrocarbon volume (STOIIP) and pore volume calculations of Exp. 4
were 0.46 % greater than Exp. 1. These differences are small (certainly
much lower than the normal uncertainty values considered in the industry),
which suggests that for preliminary field analysis and petroleum calculations, a
detailed seismic interpretation is not all that important. However, this
result has significant implications when upscaled to field dimensions
– in this case the Snøhvit field. For simplicity in the calculations, we
take the values from the Norwegian Petroleum Directorate for field size and
the STOIIP in the entire Snøhvit area to reference an oil-only
field. In reality, the field contains gas, condensate, and a small oil column
(NPD, 2020). According to the Norwegian Petroleum Directorate,
the Snøhvit field holds in-place volumes of <inline-formula><mml:math id="M73" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 400 <inline-formula><mml:math id="M74" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M75" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:math></inline-formula> m<inline-formula><mml:math id="M76" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> of oil equivalent (NPD, 2020). A STOIIP difference of
0.46 % between Exps. 1 and 4 on this field size is equal to <inline-formula><mml:math id="M77" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1.84 <inline-formula><mml:math id="M78" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M79" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:math></inline-formula> m<inline-formula><mml:math id="M80" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> of oil in place. This is equal to an underestimation of
<inline-formula><mml:math id="M81" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 11.6 million barrels (1 m<inline-formula><mml:math id="M82" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> oil <inline-formula><mml:math id="M83" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 6.29 b.b.l.) of in-place oil in Exp. 1 versus 4. The NPD lists the recovery factor of the
Snøhvit field to be 64 % (NPD, 2020), so only 7.4 million
barrels can be considered recoverable. Assuming an oil price of USD 50 per
barrel, this difference in interpretation method is equivalent to ca. USD 370 million. Although this value is relatively small in the industry, it is
staggering to see how inaccuracy in the calculation of petroleum
reserves can be solely based on poor interpretation strategies, which are
mistakes that are completely avoidable.</p>
</sec>
</sec>
<sec id="Ch1.S5.SS3">
  <label>5.3</label><title>Recommendations for best-practice seismic interpretation</title>
<sec id="Ch1.S5.SS3.SSS1">
  <label>5.3.1</label><title>Horizons and horizon–fault intersections</title>
      <p id="d1e1498">The results showed that 3D auto-tracking (1 <inline-formula><mml:math id="M84" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1 density) gave the best
results in terms of detail in the structure of horizons and horizon–fault
intersections (cutoff
lines, throw, etc.), and it was the most time-efficient option assuming relatively high-quality data. In the case of
high-quality data and well-defined continuous strong seismic reflectors
(e.g. top Fuglen), little manual quality control of the interpretation is
required. If the seismic data are of poorer quality, if the reflector in
question is poorly imaged, discontinuous, or changes seismic polarity, or
if there is significant structural complexity and ambiguity, then it is
important to reflect on the task at hand. This is because auto-tracking
algorithms may fail or generate artefacts or erroneous results that require
significant manual adjustment to correct. If fault seal or juxtaposed
lithologies are critical to the field analysis, then a denser manual and/or 2D
auto-tracked method might be necessary and worth the significant time
commitment (i.e. 8 <inline-formula><mml:math id="M85" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 8). If detailed structural analysis is not required,
then a less dense (i.e. 16 <inline-formula><mml:math id="M86" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 16) grid will give sufficient results for
geological interpretation. A sparse interpretation spacing (i.e. 32 <inline-formula><mml:math id="M87" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 32)
can give a geologically unrealistic and inaccurate representation of the
subsurface, which could lead to critical errors in prospect or field
evaluations, and as such it cannot be recommended except for broad-scale
regional understanding. These results assume a 12.5 m IL and XL spacing and
may need to be adjusted in the event of a different spacing.</p>
</sec>
<sec id="Ch1.S5.SS3.SSS2">
  <label>5.3.2</label><title>Faults</title>
      <p id="d1e1537">The results of Exps. 4 and 5 are very similar and give the most accurate
picture with respect to the fault extent, throw, and morphology of the relay.
When considering our experiments, it was difficult to capture the entire
fault length if using less than a 4 IL interpretation spacing, but we also
found interpretation from horizontal time–depth slices to be useful to
accurately capture the fault length. Therefore, the recommendations are to
interpret faults at a minimum of 8 or 16 IL spacing for the main body of the
fault and, on approaching tiplines or complex fault intersections, to
decrease the line spacing in order to capture the full length, morphologies,
and relationships. We also recommend the combination of horizontal fault
sticks and attributes to understand fault morphology and fault extent, as well as to
keep track of fault locations in 3D when interpreting horizons. The results
shown here demonstrate that less than 16 IL spacing was insufficient to
capture critical details required when performing fault interpretations and
as such should be avoided for critical prospect or field-scale mapping.
These results also assume an IL and XL spacing of 12.5 m and may need
adjustment if the data differ.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <label>6</label><title>Conclusions</title>
      <p id="d1e1550">This paper has analysed the effect of the seismic interpretation method on
faults, horizons, and their intersections. It also shows the implications of
these interpretations for the results of a fault analysis workflow. The main
findings are summarized as follows.
<list list-type="bullet"><list-item>
      <p id="d1e1555">The density of fault and horizon interpretations is
critical to understand fault relationships and morphologies in structure
maps. 3D auto-tracked horizons, and a combination of vertical and horizontal
fault sticks, give the<?pagebreak page761?> best results for the relatively high-quality
Snøhvit seismic data, with moderate to very clear continuous seismic
reflectors. However, in other areas or with poorer data, a combination of
auto-tracking or dense 2D interpretation grids would be required to properly
capture the geological complexity.</p></list-item><list-item>
      <p id="d1e1559">Fault length is greatly impacted by the interpretation method. Special
attention and denser interpretation are needed around fault tiplines.</p></list-item><list-item>
      <p id="d1e1563">The biggest effect on fault throw (and therefore much of the fault analysis
workflow) was the interpretation density. If fault seal or dynamic
simulation is critical, then denser vertical sticks (every 8–4 ILs) give the
most accurate morphology of faults, despite needing more time and manual QC.</p></list-item><list-item>
      <p id="d1e1567">Longitudinal and shear strain are excellent for use in understanding
interpretation accuracy, and their values were proven to be higher in the relay
(as observed in Freeman et al., 2010).
Studies of complex faulted fields and prospects should consider implementing
these methods if robust fault interpretation is critical for geological
understanding.</p></list-item><list-item>
      <p id="d1e1571">The effect of the interpretation method on geological modelling and the
subsequent calculation of petroleum reserves showed that the importance of
correct interpretation should not be underestimated. The most geologically
realistic results were established when using the densest interpretation
(Exp. 4). When using Exp. 1 as the model, the results were less geologically
accurate (undulating facies, creeping fault cells) and led to
under-interpretation of the relay, all of which has implications for dynamic
modelling such as fluid flow simulations, production, and drainage
strategies.</p></list-item><list-item>
      <p id="d1e1575">Calculations of petroleum reserves resulted in an underestimation of STOIIP
of 0.46 % when comparing Exps. 1–4. The upscaling of this value across
the Snøhvit field results in an underestimation of <inline-formula><mml:math id="M88" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 11.6 million barrels or USD <inline-formula><mml:math id="M89" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 370 million when comparing Exps. 1–4. Although this seems small in terms of the industry standard, this difference is only
caused by inaccuracy of the seismic interpretation method. These
inaccuracies in modelling and subsequent economics could be almost
completely avoided by applying more robust interpretation methods.</p></list-item></list></p>
</sec>

      
      </body>
    <back><notes notes-type="codedataavailability"><title>Code and data availability</title>

      <p id="d1e1596">The data and interpretations used in this work are not publicly available.
The data are owned by Equinor and their partners in the Snøhvit field;
special permissions were granted by them to publish this work.</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e1602">JEC designed and interpreted the five experiments with
contributions from NC. Both JEC and NC collaborated on
the creation of the fault analysis workflow, while the application of the
workflow to the five experiments was completed by JEC. CT
and JEC collaborated on the design of the geomodelling workflow, its
implementation, and petroleum volume calculations. RHTC aided in
the implementation and upscaling of the petroleum reserve calculations, and
he contributed to discussions related to the petroleum implications.
JEC drafted the paper and figures with contributions and proofing
from all co-authors.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e1608">The authors declare that they have no conflict of interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e1614">Thanks to Equinor ASA and their partners
in the Snøhvit field (Petoro AS, Total E&amp;P Norge AS, Neptune Energy
AS, and Wintershall DEA AS) for providing the seismic data used in this
study as well as technical guidance when analysing the data. We would also like to
thank Schlumberger (Petrel™) and Badleys (T7™)
for providing us with academic licenses for their software programmes and their
support.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e1619">This research has been supported by the Norwegian Ministry of Education and Research.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e1626">This paper was edited by CharLotte Krawczyk and reviewed by Graham Yielding and David Tanner.</p>
  </notes><ref-list>
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<abstract-html><p>Five seismic interpretation experiments were conducted on an area of
interest containing a fault relay in the Snøhvit field, Barents Sea,
Norway, to understand how the interpretation method impacts the analysis of
fault and horizon morphologies, fault lengths, and throw. The resulting
horizon and fault interpretations from the least and most successful
interpretation methods were further analysed to understand their impact on
geological modelling and hydrocarbon volume calculation. Generally, the
least dense manual interpretation method of horizons (32 inlines and 32 crosslines; 32 ILs&thinsp; × &thinsp;32&thinsp;XLs, 400&thinsp;m) and faults (32 ILs, 400&thinsp;m) resulted in inaccurate
fault and horizon interpretations and underdeveloped relay morphologies and
throw, which are inadequate for any detailed geological analysis. The
densest fault interpretations (4 ILs, 50&thinsp;m) and 3D auto-tracked horizons (all
ILs and XLs spaced 12.5&thinsp;m) provided the most detailed interpretations, most
developed relay and fault morphologies, and geologically realistic throw
distributions. Sparse interpretation grids generate significant issues in
the model itself, which make it geologically inaccurate and lead to
misunderstanding of the structural evolution of the relay. Despite
significant differences between the two models, the calculated in-place
petroleum reserves are broadly similar in the least and most dense
experiments. However, when considered at field scale, the differences in
volumes that are generated by the contrasting interpretation methodologies
clearly demonstrate the importance of applying accurate interpretation
strategies.</p></abstract-html>
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