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  <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-8-291-2017</article-id><title-group><article-title>Deformation in cemented mudrock (Callovo–Oxfordian Clay) by microcracking,
granular flow and phyllosilicate plasticity:<?xmltex \hack{\newline}?> insights from triaxial
deformation, broad ion beam <?xmltex \hack{\newline}?>polishing and scanning electron microscopy</article-title>
      </title-group><?xmltex \runningtitle{Insights from Triaxial Deformation}?><?xmltex \runningauthor{G. Desbois et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Desbois</surname><given-names>Guillaume</given-names></name>
          <email>guillaume.desbois@emr.rwth-aachen.de</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Höhne</surname><given-names>Nadine</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Urai</surname><given-names>Janos L.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-5299-6979</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Bésuelle</surname><given-names>Pierre</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Viggiani</surname><given-names>Gioacchino</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Structural Geology, Tectonics and Geomechanics, RWTH Aachen University, Lochnerstrasse 4–20, 52056 Aachen, Germany</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Univ. Grenoble Alpes, CNRS, Grenoble INP, 3SR, 1270 Rue de la Piscine, 38610 Gières, France</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Guillaume Desbois (guillaume.desbois@emr.rwth-aachen.de)</corresp></author-notes><pub-date><day>9</day><month>March</month><year>2017</year></pub-date>
      
      <volume>8</volume>
      <issue>2</issue>
      <fpage>291</fpage><lpage>305</lpage>
      <history>
        <date date-type="received"><day>12</day><month>September</month><year>2016</year></date>
           <date date-type="rev-request"><day>4</day><month>October</month><year>2016</year></date>
           <date date-type="rev-recd"><day>8</day><month>February</month><year>2017</year></date>
           <date date-type="accepted"><day>17</day><month>February</month><year>2017</year></date>
      </history>
      <permissions>
<license license-type="open-access">
<license-p>This work is licensed under a Creative Commons Attribution 3.0 Unported License. To view a copy of this license, visit <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/3.0/">http://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions><self-uri xlink:href="https://se.copernicus.org/articles/8/291/2017/se-8-291-2017.html">This article is available from https://se.copernicus.org/articles/8/291/2017/se-8-291-2017.html</self-uri>
<self-uri xlink:href="https://se.copernicus.org/articles/8/291/2017/se-8-291-2017.pdf">The full text article is available as a PDF file from https://se.copernicus.org/articles/8/291/2017/se-8-291-2017.pdf</self-uri>


      <abstract>
    <p>The macroscopic description of deformation and fluid flow in mudrocks can be
improved by a better understanding of microphysical deformation mechanisms.
Here we use a combination of scanning electron microscopy (SEM) and broad
ion beam (BIB) polishing to study the evolution of microstructure in samples
of triaxially deformed Callovo–Oxfordian Clay. Digital image correlation
(DIC) was used to measure strain field in the samples and as a guide to
select regions of interest in the sample for BIB–SEM analysis.
Microstructures show evidence for dominantly cataclastic and minor crystal
plastic mechanisms (intergranular, transgranular, intragranular cracking,
grain rotation, clay particle bending) down to the nanometre scale. At low strain, the
dilatant fabric contains individually recognisable open fractures, while at
high strain the reworked clay gouge also contains broken non-clay grains and
smaller pores than the undeformed material, resealing the initial fracture
porosity.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>Mudrocks constitute up to 80 % of the Earth's sedimentary rocks (Stow,
1981). Due to their low permeability and self-sealing properties (Boisson,
2005; Bernier et al., 2007), claystones are considered for nuclear waste
disposal and seals for storage in deep geological formations (Salters and
Verhoef, 1980; Shapira, 1989; Neerdael and Booyazis, 1997; Bonin, 1998;
Ingram and Urai, 1999; ONDRAF/NIRAS, 2001; NAGRA, 2002; NEA, 2004; ANDRA
2005; IAEA, 2008). Predictions of mechanical and transport properties over
long timescales are essential for the evaluation of subsurface integrity.
For this, it is generally agreed that a multiscale experimental approach
that combines measurement of bulk mechanical and transport properties with
microstructural study to identify deformation mechanisms is required to
develop microphysics-based constitutive equations, which can be extrapolated
to timescales not available in the laboratory, after comparison with
naturally deformed specimens (Morgenstern and Tchalenko, 1967; Tchalenko,
1968; Lupini et al., 1981; Rutter et al., 1986; Logan et al., 1979, 1987,
1992; Marone and Scholz, 1989; Evans and Wong, 1992;  Katz and Reches,
2004; Niemeijer and Spiers, 2006; Colletini et al., 2009; Haines et al.,
2009, 2013; French et al., 2015; Crider, 2015; Ishi, 2016).</p>
      <p>In the field of rock mechanics and rock engineering, experiments are
performed to low strain and over a relatively short time in order to predict
damage and deformation in tunnelling and mining, for example. Here, a
macroscopic and phenomenological approach is common to characterise
mechanical and transport properties and to establish the constitutive laws.
Microstructures are rarely studied because the strained regions are
difficult to find (except for macroscopic fractures) and because
microstructures below micrometre scales are elusive. However, it is well
established that for long-term predictions a microphysics-based
understanding of mechanical and fluid flow properties in mudrocks provides a
better basis for extrapolating constitutive equations beyond the timescales
accessible in the laboratory. This requires integration of measurement of
the mechanical and transport properties with microstructures in order to
obtain a
multi-scale description of deformation in mudrocks at low strain.</p>
      <p>The microstructural geology community studied microstructures in deformed
mudrocks to infer deformation mechanisms (Dehandschutter et al., 2004;
Gratier et al., 2004; Klinkenberg et al; 2009; Renard, 2012; Robinet et al.,
2012; Richard et al., 2015; Kaufhold et al., 2016), but this was limited by
problems with sample preparation for high-resolution electron microscopy. Conversely, the mechanical properties and related microstructures of
natural and experimental high-strain fault rocks have been studied
extensively (Bos and Spiers, 2001; Faulkner et al., 2003; Marone and
Scholz, 1989). For Opalinus Clay (OPA) deformed in laboratory, Nüesch (1991) and Jordan and Nüesch (1989) concluded that cataclastic flow was
the main deformation mechanism, with kinking and shearing on <inline-formula><mml:math id="M1" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> and
<inline-formula><mml:math id="M2" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> surfaces at the micro-scale; however, this was only based on observations
with optical microscopy, so that grain-scale processes were not resolved.
Klinkerberg et al. (2009) demonstrated a correlation between compressive
strength and carbonate content of two claystones; this correlation is
positive for OPA but negative for Callovo–Oxfordian Clay (COX). This was
explained by the differences in grain size, shape, and spatial distribution
of the carbonate (Klinkerberg et al., 2009; Bauer-Plaindoux et al., 1998). Microstructural investigations using BIB–SEM (broad ion beam and scanning electron microscopy) and FIB–TEM (focussed ion beam and transmitted electron microscopy) milling tools in OPA from
the main fault in the Mont Terri underground research laboratory (Laurich et
al., 2014, 2017) showed that inter- and transgranular microcracking,
pressure solution, clay neoformation, phyllosilicate crystal plasticity and
grain boundary sliding all play an important role during the early stages of
faulting in OPA. However, simple cataclastic microstructures are rare due to
the high shear strain and there was an almost complete loss of porosity in
micro-shear zones.</p>
      <p>Digital image correlation (DIC) applied to images acquired during
experimental deformation provides a method to directly measure the local
displacement fields (in 2-D or 3-D depending on the imaging method) and
locally quantifies strain over time (Lenoir et al., 2007 (claystone, 3-D,
X-ray tomography); Bornert et al., 2010 (claystone, 2-D, optical microscopy);
Bésuelle and Hall, 2011 (claystone, 2-D, optical microscopy); Dautriat
et al., 2011 (carbonates, 2-D, optical microscopy and SEM); Wang et al.,
2013, 2015 (claystone, 2-D, environmental SEM); Fauchille et al., 2015
(claystone, 2-D, optical microscopy); Sone et al., 2015 (shale, 2-D, SEM)).
For samples with grain sizes above micrometres, this approach allows
the study of processes that occur at grain scale with high resolution (Hall et
al., 2010 (sand, 3-D, X-ray tomography); Andò et al., 2012 (sand, 3-D,
X-ray tomography); Bourcier et al., 2012, 2013 (rock salt, 2-D, optical
microscopy and environmental SEM); Wang et al., 2015 (claystone, 2-D,
environmental SEM)). On claystones, DIC was used to study swelling in
environmental SEM (Wang et al., 2013, 2015) to measure strain between the
clay matrix and non-clay minerals.</p>
      <p>Microstructural studies in naturally compacted mudrocks are currently in
rapid development, enabled by the development of ion beam milling tools
(e.g. FIB and BIB), which allow
imaging of mineral fabrics and porosity down to the nanometre scale in very high-quality cross sections with SEM and TEM (Lee et al., 2003; Desbois et al.,
2009, 2011, 2013, 2016; Loucks et al., 2009; Curtis et al., 2010; Heath et
al., 2011; Klaver et al., 2012; Keller et al., 2011, 2013; Houben et al.,
2013, 2014; Hemes et al., 2013, 2015; Laurich et al., 2014; Warr et al.,
2014; Song et al., 2016). Serial sectioning allows the reconstruction of
microstructure in 3-D (Keller et al., 2011, 2013; Milliken et al., 2013;
Hemes et al., 2015), and cryogenic techniques can image the pore fluid in
the samples and avoid artefacts produced by drying (Desbois et al., 2013,
2014; Schmatz et al., 2015).</p>
      <p>Previous work has shown that the mechanical properties of COX do not only depend on the fraction and mineralogy of the clay
but also on water content and texture (Bauer-Plaindoux et al., 1998).
Chiarelli et al. (2000) showed that COX is more brittle with increasing
calcite content and more ductile with increasing clay content, and they proposed
two deformation mechanisms: plasticity induced by slip of clay sheets and
induced anisotropic damage as indicated by microcracks at the interface
between grains and matrix; however, they provided little microstructural
evidence to support this. Gasc-Barbier et al. (2004), Fabre and Pellet (2006),
Chiarelli et al. (2003) and Fouché et al. (2004) reported that the COX has
an unconfined compressive strength of 20 to 30 MPa and a Young's modulus of
2 to 5 GPa. In the context of underground storage of radioactive waste,
these papers try to predict the mechanical evolution of COX over the period
of thousands of years. The effects studied included creep, pore-pressure
dissipation, swelling, contraction, chemical effects, pressure solution and
force of crystallisation. Although these papers develop elaborate
constitutive laws, they provide very limited microstructural observations.
The need for micromechanical observations was already recognised by Yang et al. (2012) and Wang et al. (2013, 2015). From DIC applied to optical and environmental scanning electron microscope (ESEM) images, these authors showed how
heterogeneous strain fields correlate with microstructure and recognised
shear bands and tensile microcracks.</p>
      <p>For highly overconsolidated claystones from the Variscan foreland thrust
belt in the Ardennes and Eifel, Holland et al. (2006) proposed an
evolutionary model starting with mechanical fragmentation of the original
fabric. In this model, the initial loss of cohesion is driven by kinking,
folding and microfracturing processes, with an increasing porosity and
permeability. Abrasion during progressive deformation increases the amount
of clay gouge, and resealing occurs by decrease in pore size of the clay
gouge.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><caption><p>Drawing of the experimental concept used for the
investigation of experimentally deformed fine-grained mudrocks from
bulk scale to nanometre scale. The example is based on <bold>(a)</bold> a triaxial deformation
test (10 MPa confining pressure) performed on a cylindrical
Callovo–Oxfordian Clay, <bold>(b)</bold> volumetric DIC on X-ray microtomography images
to follow displacement fields (after Lenoir et al., 2007), and <bold>(c)</bold> SEM
imaging on high-quality cross sections prepared by BIB. <bold>(a)</bold> Steps when X-ray microtomography images were acquired are indicated by 1, 2 and 3. <bold>(b)</bold> Deformation increments between steps 1 and 2 and steps 2
and 3 are indicated by 1–2 and 2–3 respectively.</p></caption>
        <?xmltex \igopts{width=455.244094pt}?><graphic xlink:href="https://se.copernicus.org/articles/8/291/2017/se-8-291-2017-f01.png"/>

      </fig>

      <p>In summary, deformation mechanisms in mudrocks are poorly understood,
especially at low strain. Although as a first approximation the plasticity
of cemented and uncemented mudrocks can be described by effective pressure-dependent constitutive models, the full description of their complex
deformation and transport properties would be much improved by better
understanding of the microscale deformation mechanisms. There is a wide
range of possible mechanisms: intra- and intergranular fracturing,
cataclasis, grain boundary sliding, grain rotation and granular flow,
plasticity of phyllosilicates, and the poorly known plasticity of nanoclay
aggregates with the strong role of clay-bound water, cementation, fracture
sealing and solution precipitation.</p>
      <p>This contribution combines stress-strain data and measurement of displacement
fields by DIC with microstructural
investigations in areas selected based on the DIC results. For this, we
prepared millimetre-sized high quality cross sections by
(BIB) milling followed by SEM to infer
microphysical processes of deformation with submicron resolution (Fig. 1). The two samples used are from the COX (a
cemented claystone): one deformed in plane strain compression at 2 MPa
confining pressure (COX-2MPa; Bésuelle and Hall, 2011) and another in
triaxial compression at 10 MPa confining pressure (COX-10MPa; Lenoir et al.,
2007). Specimens were taken from the Bure site in Meuse-Haute Marne in
France and belong to the clay-rich facies of the COX.</p>
</sec>
<sec id="Ch1.S2">
  <title>Material studied and DIC-derived strain fields</title>
      <p>Triaxial experiments were performed on two COX samples collected at the
ANDRA Underground Research Laboratory located at Bure (Meuse-Haute Marne,
eastern France) at approximately 550 m below ground surface (Boisson, 2005).
The clay fraction (illite–smectite, illite, chlorite) is 40–45 %,
carbonate (mostly calcite) and quartz are 25–35 and 30 % respectively
and the samples contain minor feldspar, mica and pyrite (Gaucher et al.,
2004).</p>
      <p>The details of these experiments, including instrumentation, boundary
conditions and DIC interpretations are comprehensively described in
Bésuelle and Hall (2011) and Lenoir et al. (2007). This contribution
mostly presents the microstructural analysis performed on these previously
deformed two samples.</p>
      <p>The first sample considered in this study (COX-2MPa, sample reference:
EST32896) was tested in plane strain compression at 2 MPa confining
pressure. Two-dimensional DIC was performed on consecutive photographs of one side of the
specimen (in the plane of deformation) throughout the test. Further details
are given in Bésuelle and Hall (2011). The second sample (COX-10MPa) was
tested in triaxial compression at 10 MPa confining pressure. Three-dimensional DIC was
performed on consecutive X-ray images of the specimen obtained in a
synchrotron throughout the test. Further details are given in Lenoir et al. (2007). Please note that in this publication this sample is referred to as
ESTSYN01 with drilling reference EST261.</p>
      <p>In the following paragraphs, the relevant findings in Bésuelle and Hall (2011) and
Lenoir et al. (2007) are summarised.</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F2"><caption><p>Results of deformation test done on sample COX-2MPa. <bold>(a)</bold> Deviator stress vs. axial strain response. The red star indicates the state
of the sample when BIB–SEM microstructural analyses are done. <bold>(b, c)</bold> Incremental volumetric strain fields (VSF) and maximum shear strain fields
(SSF) for deformation increments 1–2 <bold>(b)</bold> and 3–4 <bold>(c)</bold> indicated in
<bold>(a)</bold> after DIC. Arrows with solid lines indicate the set of two conjugated
synthetic fractures, whereas the arrows with dashed lines show antithetic
fractures oblique to the conjugated fractures. <bold>(d)</bold> Selection of differently
strained areas (region of interest (ROI)) highlighted from DIC analysis for BIB–SEM
microstructural analyses. Four ROI were analysed: three at conjugate
synthetic fractures in areas with a different amount of diffuse strain and
antithetic fractures (ROI-2, ROI-3 and ROI-4) and one in a region without
measurable strain (ROI-1). The bedding is perpendicular to the mean
principal stress <inline-formula><mml:math id="M3" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Performed according to Bésuelle et al. (2011).</p></caption>
        <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://se.copernicus.org/articles/8/291/2017/se-8-291-2017-f02.png"/>

      </fig>

      <p>The prismatic sample COX-2MPa was tested in plane strain compression in a
true triaxial apparatus at a constant value of <inline-formula><mml:math id="M4" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 2 MPa.
The size of the specimen is 50 mm in the vertical direction, which is the
direction of major principal stress (<inline-formula><mml:math id="M5" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, 30 mm in the
direction of intermediate principal stress (<inline-formula><mml:math id="M6" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, and 25 mm in
the direction of minor principal stress (<inline-formula><mml:math id="M7" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. The test was
displacement controlled, with a constant rate of displacement (in direction
1) of 1.25 <inline-formula><mml:math id="M8" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m s<inline-formula><mml:math id="M9" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, i.e. a strain rate of 2.5 <inline-formula><mml:math id="M10" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M11" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M12" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (see
Bésuelle and Hall, 2011 for further details). Figure 2a shows the
evolution of the differential stress (<inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>
vs. axial strain. The curve shows a first stress peak at 0.02 axial strain,
followed by a strong stress drop. Then, a slow stress increase is observed,
followed by a second stress drop at 0.42 axial strain. Afterwards, the stress is
quite constant. As shown in Fig. 2b and c (gage length of 180 <inline-formula><mml:math id="M15" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m), these two stress drops are associated with major faulting in the
specimen. The crack that appeared during the second drop is conjugate to the
first crack set, which appeared at the first drop. This set of conjugate
fractures, at an angle of 20 to 45<inline-formula><mml:math id="M16" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> about direction
1, will be referred to as “main synthetic fractures” in the following
sections. The DIC-derived strain fields in Fig. 2b and c also show that
the development of each single conjugate fracture is accompanied by relay
zones with a set of antithetic fractures. Moreover, the fracture appearing
during the second stress drop (Fig. 2c) also reactivates the first
fracture and its associated antithetic fractures. At this resolution (pixel
size is 10 <inline-formula><mml:math id="M17" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10 <inline-formula><mml:math id="M18" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m<inline-formula><mml:math id="M19" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>), the set of conjugate fractures and the associated
antithetic fractures are the major features of localised deformation: they
represent zones where the sample was sheared, with damaged zones having a
thickness of about 60 <inline-formula><mml:math id="M20" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m. Dilatancy was also measured in the damaged
zones mentioned above (see volumetric strain fields, Fig. 2b and c).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><caption><p>Results of deformation test done on sample COX-10MPa.
<bold>(a)</bold> Deviator stress vs. axial strain response. The red star indicates the
state of sample when BIB–SEM microstructural analyses are done. <bold>(b)</bold> Incremental maximum shear strain fields for deformation increments 1–2 and
2–3 indicated in <bold>(a)</bold> interpreted after DIC. <bold>(c)</bold> Shows the X-ray radiography
of the sample taken directly at the end of the deformation test, whereas
<bold>(d)</bold> shows the X-ray radiography of the same sample but taken about 10 years
after the end of the deformation: drying cracks developed following the
bedding, and the aperture of the single shear fracture became larger.
<bold>(d)</bold> Also indicates that two ROI were analysed, both around the single synthetic shear
fracture. In <bold>(c)</bold> and <bold>(d)</bold> the bedding is perpendicular to the principal
stress <inline-formula><mml:math id="M21" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> indicated in <bold>(c)</bold>. Performed according to Lenoir et al. (2007).</p></caption>
        <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://se.copernicus.org/articles/8/291/2017/se-8-291-2017-f03.png"/>

      </fig>

      <p>The cylindrical sample COX-10MPa (10 mm in diameter and 20 mm in height) was
deformed in triaxial compression at a confining pressure of 10 MPa. The test
was carried out under tomographic monitoring at the European Synchrotron
Radiation Facility (ESRF) in Grenoble, France, using an original
experimental set-up developed at Laboratoire 3SR at the University of
Grenoble Alpes (France). Complete 3-D images of the specimens were recorded
throughout the test using X-ray microtomography (voxel size was 14 <inline-formula><mml:math id="M22" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 14 <inline-formula><mml:math id="M23" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 14 <inline-formula><mml:math id="M24" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m<inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>.
The test was displacement controlled, with a displacement
rate of 0.05 <inline-formula><mml:math id="M26" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m s<inline-formula><mml:math id="M27" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, i.e. an axial strain rate of 2.5 <inline-formula><mml:math id="M28" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M29" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M30" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. The stress-strain curve (Fig. 3a) shows only one stress peak at
an axial strain of 0.04. The peak stress is followed by a major stress drop
corresponding to the formation of a shear fracture (referred to as main
synthetic fracture in the following sections) oriented at an angle of
30–40<inline-formula><mml:math id="M31" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> about the direction of the principal stress <inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
(the DIC-based maximum shear strain fields are given in Fig. 3b, gage length
of 280 <inline-formula><mml:math id="M33" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m). The DIC-derived volumetric strain fields (not shown
here;
see Lenoir et al., 2007) indicate that the shear fracture is accompanied by some
slight dilatancy.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><caption><p><bold>(a)</bold> BSE–SEM micrograph of the typical mineral fabric in
undeformed COX. <bold>(b)</bold> SE2 SEM micrograph of a detail indicated by the black
box in <bold>(a)</bold> showing the typical pore fabric in undeformed COX. In both
micrographs, the bedding is horizontal.</p></caption>
        <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://se.copernicus.org/articles/8/291/2017/se-8-291-2017-f04.jpg"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><caption><p>BSE–SEM micrographs of the BIB cross section overviews
of COX-2MPa <bold>(a–d)</bold> and COX-10MPa <bold>(e–f)</bold> at differently strained areas (ROI)
highlighted from DIC analysis in Figs. 2 and 3. Highly strained ROI <bold>(b–f)</bold>
display damaged microstructures where three different types of fracture are
identified: (1) the main synthetic fracture, (2) antithetic fractures
oriented about 60<inline-formula><mml:math id="M34" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> to the main fracture and (3) joints
subparallel to the main synthetic fracture. These fractures are respectively
indicated by numbers 1, 2 and 3 in the figure. In <bold>(b)</bold> the white box in dashed
lines refers to Fig. 7f; the upper white box in solid lines refers to
Fig. 7a and the lower white box in solid lines refers to Fig. 7e. In
<bold>(c)</bold> the white box in solid lines refers to Fig. 7g. In <bold>(d)</bold> the white box
in solid lines refers to Fig. 7c. In <bold>(e)</bold> the white box in solid
lines
refers to Fig. 9. In <bold>(c)</bold> the white box in solid lines refers to Fig. 11.
In all micrographs, the orientation of the principal stress (<inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is indicated by red arrows. The bedding is perpendicular to <inline-formula><mml:math id="M36" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Dashed yellow lines indicate the boundaries of the BIB-polished
areas.</p></caption>
        <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://se.copernicus.org/articles/8/291/2017/se-8-291-2017-f05.jpg"/>

      </fig>

</sec>
<sec id="Ch1.S3">
  <title>Methods: BIB–SEM imaging of deformed microstructures</title>
      <p>After the experiments of Lenoir et al. (2007) and Bésuelle and Hall (2011), deformed samples were stored at low vacuum and room temperature in a
desiccator, where they dried slowly. From these deformed samples,
subsamples were selected to represent areas with different strain history
based on the DIC analysis. For COX-2MPa, three BIB cross sections were
prepared around the conjugate fractures in areas with different amounts of
diffuse strain (at the resolution of DIC) and antithetic fractures (ROI-2,
ROI-3 and ROI-4; Figs. 2d, 5b, c, d and 6) and a fourth BIB cross section is from a region
without measurable strain (ROI-1; Figs. 2d and 5a). For COX-10MPa, two
BIB–SEM analyses were done around the single shear fracture (Figs. 3d and 5e, f).</p>
      <p>Subsamples were first embedded in epoxy, extracted with a low speed diamond
saw in dry conditions, pre-polished dry using SiC papers (down to P4000
grade) and BIB polished in a JEOL SM-09010 cross section polisher (for 8 h,
1.10<inline-formula><mml:math id="M37" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>–1.10<inline-formula><mml:math id="M38" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> Pa, 6 kV, 150 <inline-formula><mml:math id="M39" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>A) to remove a 100 <inline-formula><mml:math id="M40" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>
m thick layer of material interpreted to be the layer of damage after
polishing with SiC papers. BIB cross sections were all prepared parallel to
the <inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and direction and perpendicular to the shear fracture.
The BIB cross sections of about 1.5 mm<inline-formula><mml:math id="M42" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> (Figs. 5 and 6) were imaged
with a Supra 55-Zeiss SEM (SE2 and BSE detectors at 20 kV and working distance (WD) <inline-formula><mml:math id="M43" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 8 mm).
Further details of the method are given in Klaver et al., 2012, 2015;
Houben et al., 2013, 2014; Hemes et al., 2013, 2015; and Desbois et al., 2016.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><caption><p>Larger field of BSE–SEM micrograph of the BIB
cross section overview at ROI-1 in COX-2MPa sample. It shows the network
of antithetic fractures (indicated by number 1) oblique to the principle
main synthetic fracture (indicated by number 2). The left white box in solid
lines refers to Fig. 7f; the white box in dashed lines refers to Fig. 7a and the right white box in solid lines refers to Fig. 8. Orientation
of the principal stress (<inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is indicated by red arrows. The
bedding is perpendicular to <inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Dashed yellow lines
indicate the boundaries of the BIB-polished areas.</p></caption>
        <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://se.copernicus.org/articles/8/291/2017/se-8-291-2017-f06.png"/>

      </fig>

</sec>
<sec id="Ch1.S4">
  <title>Results</title>
<sec id="Ch1.S4.SS1">
  <title>Overview of microstructures</title>
      <p>The subsample without measurable strain (i.e. ROI-1_COX-2MPa, Fig. 5a) shows non-clay minerals in a clay matrix with a weak-shape-preferred orientation parallel to bedding (perpendicular to the
experimental <inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. The clay matrix contains submicron pores
typical of compaction and diagenesis, with a power law distribution of pore
sizes. Pores commonly have very high aspect ratio, with the long axis
oriented subparallel to the bedding. Mineral fabric is very similar to
those in the undeformed COX sample (Fig. 4; see Robinet et al., 2012).</p>
      <p>In all other BIB cross sections (Figs. 5c–f and 6), both samples show
damaged microstructures. At the sample scale, three different types of
fracture are identified: (i) the main synthetic fracture (Sect. 2), (ii) antithetic fractures (Fig. 5) and (iii) joints subparallel to the main
fracture. The material between the fracture zones has very similar
microstructure to undeformed COX.</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F7"><caption><p>Detailed microstructures in sample COX-2MPa. <bold>(a)</bold> A
fracture running parallel to the antithetic fractures and at the interfaces
between non-clay mineral and clay matrix. In <bold>(b)</bold> intragranular fractures
are in calcite grain (Cc.) and transgranular fractures are in organic matter
(OM), whereas in <bold>(c)</bold> transgranular fractures are in Cc. at impingement
with quartz grain (Qtz.). <bold>(d)</bold> A broken quartz grain showing evidence for
rotation of its broken fragments. <bold>(e)</bold> Incipient of flow of broken non-clay
minerals within the antithetic fractures indicated by red (Cc.), blue (Qtz.)
and white (Cc.) dashed lines. <bold>(f)</bold> and <bold>(g)</bold> show parts of antithetic fractures
displaying thick damaged fabrics made of broken grains and clay matrix
fragments. <bold>(h)</bold> Details of the white box indicated in <bold>(g)</bold>. <bold>(i)</bold> Details of the
white box indicated in <bold>(f)</bold>, showing the denser and deformed fabric of a part
of the clay matrix squeezed between a quartz grain located in the damaged
fabric and the boundary with the host rock. In <bold>(f)</bold>–<bold>(i)</bold>, the damaged fabric is
related to a higher porosity in comparison to the host rock. In all
micrographs, the orientation of the principal stress (<inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is
indicated by red arrows. The bedding is perpendicular to <inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>.
Dashed yellow lines indicate the boundaries between the damaged fabric (DF)
and the host rock (HR) and also some grain boundaries in <bold>(a)</bold>. Black squares
in <bold>(f)</bold> are missing pictures.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://se.copernicus.org/articles/8/291/2017/se-8-291-2017-f07.jpg"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS2">
  <title>Detailed description of microstructures</title>
<sec id="Ch1.S4.SS2.SSS1">
  <title>Arrays of antithetic fractures</title>
      <p>In COX-2MPa, the antithetic fractures (Fig. 6) are of two different types.
Type I is located only in the clay matrix (Fig. 7a), with apertures up to a few
micrometres, with boundaries closely matching, suggesting that these are
opening mode fractures (Mode I). Type II fractures consist of a damage zone with
a thickness of up to 25 <inline-formula><mml:math id="M49" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m (Fig. 7e, f, g, h, i), containing angular
fragments of non-clay minerals and clay aggregates (Fig. 7h), sometimes
with preferred orientation parallel to the fracture. The transition between
the damage zone and the undeformed host rock is sharp (Fig. 7f, g, h, i).
In relay zones the fracturing becomes so intense that the clay matrix is
fragmented into submicron-size fragments (Fig. 7i). Porosity in these
relay zones is locally much higher and pores are much larger than in undeformed
COX. Fracture boundaries usually do not match (Fig. 7h). Figure 7e shows
examples where parts of broken non-clay minerals can be matched.</p>
      <p>In COX-10MPa, we observed the two types of antithetic fractures mentioned
above. Antithetic fractures of Type I are very similar (indicated in Fig. 5f)
to those in COX-2MPa but they are rare, whereas antithetic fractures of Type II contain a
wider damage zone in comparison to those in COX-2MPa, in which the average
grain size and the pore size is significantly smaller, consistent with
stronger cataclasis at high confining pressure. In parts of the damage zones
interpreted to be restraining sections, pores in the reworked clay
aggregates cannot be resolved in the SEM.</p>
      <p>In both samples, the fragments between the arrays of antithetic fractures
show only minor deformation indicated by fractured grains of organic matter
(Fig. 7b), calcite (Fig. 7d, c) or quartz (Fig. 7d). Visible
relative rotation of parts of fractured grain is rare (Fig. 7d).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><caption><p>Detailed microstructure close the main fracture
(indicated by number 1) in sample COX-2MPa. The main fracture displays
internal damaged fabric made of fragments of broken non-clay minerals and
clay matrix. Close to the main synthetic fracture, the host rock displays
jagged joints subparallel to the main synthetic fracture (indicated by
number 3) starting and ending at the antithetic fracture (indicated by number
2). In all micrographs, the orientation of the principal stress (<inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is indicated by red arrows.
The bedding is perpendicular to <inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. The dashed yellow line indicates the boundary between the damaged
fabric (DF) and the host rock (HR).</p></caption>
            <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://se.copernicus.org/articles/8/291/2017/se-8-291-2017-f08.png"/>

          </fig>

</sec>
<sec id="Ch1.S4.SS2.SSS2">
  <title>Synthetic fractures</title>
      <p>The synthetic fractures are the regions that localised most of the strain and
have the thickest damage zone (Figs. 2 and 3). Here, COX-2MPa and
COX-10MPa show very similar microstructures. The grain (fragment) size of
non-clay minerals is significantly smaller than in the host rock and their
sizes are poorly sorted. In comparison to undeformed samples (Fig. 4a),
non-clay minerals also have dominant angular and/or chipped edges (Figs. 8, 9 and 11). Locally, grains in the damaged zone show transgranular
fractures (Figs. 9c and 11a). In parts of the damage zone, dilatancy and
a strong increase in connected porosity (ROI-4_COX-2MPa,
Fig. 8) are indicated by epoxy impregnation. In other parts,
(ROI-1_COX-10MPa, Figs. 9 and 10) strongly reworked clay
matrix is not impregnated and shows no pores visible at the resolution of
image (83.8 nm pixel size in Fig. 10b, c).</p>
      <p>For COX-2MPa, the DIC analysis shows that the conjugated synthetic fractures
form a complex network of fracture branches in the region where they both
intersect (Fig. 2c). The ROI-3_COX-2MPa subsample (Fig. 2d) covers two of these branches. Microstructural analysis of these two
branches in ROI-3_COX-2MPa shows similar microstructures, with
only the fracture apertures being different (Fig. 5c).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9"><caption><p>Microstructures of ROI-1 in sample COX-10MPa. <bold>(a–c)</bold> The
damaged fabric (DF) within the main fracture (1) is made of fragments of
non-clay minerals derived from the dense, tight clay matrix. <bold>(a)</bold> The large
open fracture in the middle of the main fracture (black) is interpreted to
develop after the experiment by unloading and/or drying (see Sect. 5.1 for
details). In <bold>(a)</bold> the white box in dashed lines refers to <bold>(c)</bold>, whereas the
one in solid lines refers to <bold>(b)</bold>. <bold>(b)</bold> Details of difference in mineral fabric
between DF and the host rock (HR). The white box refers to Fig. 10. <bold>(c)</bold> Some grains within the damaged fabric, but close to the boundary between the
damaged fabric and the host rock, show transgranular fracturing (white
arrows). In all micrographs, the orientation of the principal stress
(<inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is indicated by red arrows. The bedding is perpendicular
to <inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. The dashed yellow lines indicate the boundaries between
DF and HR.</p></caption>
            <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://se.copernicus.org/articles/8/291/2017/se-8-291-2017-f09.jpg"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10"><caption><p>Details of Fig. 9b. Microstructures
(ROI-1_COX-10MPa) showing details of porosity in BSE–SEM
micrograph <bold>(a)</bold> and SE2 SEM micrograph <bold>(b)</bold>. At the resolution of the SEM
micrograph, the damaged fabric appears to be very low porous in comparison to the
host rock. The dashed yellow line indicates the boundary between the damaged
fabric (DF) and the host rock (HR).</p></caption>
            <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://se.copernicus.org/articles/8/291/2017/se-8-291-2017-f10.png"/>

          </fig>

      <p>In both COX-2MPa and COX-10MPa, the damage zone of the synthetic fractures
contains an open fracture (Figs. 8, 9 and 11), with apertures of 50–70 <inline-formula><mml:math id="M54" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m. These large open fractures are filled with epoxy, have matching
boundaries and never crosscut the non-clay minerals in the damage zone.
Similar fractures are found in COX-2MPa but parallel to the antithetic
fractures, with jagged morphologies and matching walls never crossing the
non-clay minerals (Fig. 7b, c, e). These fractures are not resolved by
DIC at the resolution of the X-ray images and at the strain gage length
used in this contribution.</p><?xmltex \hack{\newpage}?>
</sec>
</sec>
</sec>
<sec id="Ch1.S5">
  <title>Discussion</title>
<sec id="Ch1.S5.SS1">
  <title>Artefacts caused by drying and unloading</title>
      <p>Claystones are sensitive to changes in hydric conditions that can lead to
the shrinkage or the swelling of the clay matrix (Galle, 2001; Kang et al.,
2003; Soe et al., 2007; Gasc-Barbier and Tessier, 2007; Cosenza et al.,
2007; Pineda et al., 2010; Hedan et al., 2012; Renard, 2012; Wang et al.,
2013, 2015; Desbois et al., 2014).</p>
      <p>The DIC analysis is not affected by this because the images were acquired
during deformation of preserved (wet) samples. SEM analysis is done on
samples that have been deformed and unloaded, followed by slow drying in
a low vacuum and further dehydration in the high vacuum of the BIB and SEM. In
COX-10MPa, this is illustrated by Fig. 3c and d. Figure 3c shows the
sample at the end of the deformation experiment, whereas Fig. 3d shows
the same sample but about 10 years later, both X-ray imaged. The
comparison of Fig. 3c and d shows that cracks developed parallel to
the bedding and that the apertures of fractures developed during the
deformation became larger. These are interpreted to result from unloading
and shrinkage during drying of specimens. Though the second sample was not
scanned with X-ray in the dry condition, we infer that similar changes also occurred
in COX-2MPa: by analogy, there is no reason that the clay matrix in
COX-2MPa behaves differently that in COX-10MPa.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11"><caption><p>Detailed microstructures at ROI-2 in sample COX-10MPa.
<bold>(a–c)</bold> The damaged fabric (DF) within the main synthetic fracture (indicated
by number 1) is made of fragments of non-clay minerals and clay matrix
derived from the host rock (HR). <bold>(a)</bold> Some grains within the damaged fabric,
but close to the boundary between the damaged fabric and the host rock, show
transgranular fracturing (white arrow). The white box refers to Fig. 11a and b. Detailed observations in <bold>(b)</bold> and <bold>c</bold> (SE2 SEM and BSE–SEM
micrographs of the same sub-area, respectively) show that parts of the
damaged fabric display (i) porous island, where pores are between the
fragments of non-clay and clay matrix, whereas other parts display (2) low
porous islands made of fragments of non-clay minerals embedded in a dense,
tight clay matrix (within the region bounded by the dashed white line).
Pores within the porous island can either be filled with epoxy (in deep
black pixel values) or not. The orientation of the principal stress (<inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is indicated by red arrows.
The bedding is perpendicular to <inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. The dashed yellow lines indicate the boundaries between the
damaged fabric and the host rock.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://se.copernicus.org/articles/8/291/2017/se-8-291-2017-f11.jpg"/>

        </fig>

      <p>The considerations above indicate that some fractures developed during
deformation but drying damage overprinted them. Unfortunately, BIB–SEM
images (performed on dried samples) do not provide direct information to
distinguish if the visible fractures and cracks developed during deformation
(and subsequently overprinted by drying) or only by drying. However, as
presented in the following paragraphs, indirect evidence suggests that the
fractures in the fragments between the arrays of antithetic fractures and
the antithetic fractures of Type I and Type II developed during deformation.</p>
      <p>The fractures in the fragments between the arrays of antithetic fractures
(Fig. 7b, c, d) are not present in the low-strain ROI-1_COX-2MPa, and they are subparallel to <inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and cross-cut the
bedding, suggesting strongly that they are formed by experimental deformation.</p>
      <p>Antithetic fractures of Type II  (Figs. 5, 6 and 7e–i) are interpreted to develop
during deformation because (i) the internal microstructures and fabrics are
damaged and (ii) DIC recorded a clear localisation of strain in these.
Though the antithetic fractures of Type I are not clearly recognised at the
resolution of DIC, most of these in COX-2MPa (Fig. 7a) are interpreted to
develop during deformation because they are oblique to the bedding and
parallel to the antithetic fractures of Type II (Figs. 5, 6 and 7f–g). One
exception is the antithetic fractures of Type I observed in ROI-1_COX-10MPa (Fig. 5e), which are parallel to bedding. Mode I fractures
subparallel to the main synthetic fractures are less easy to interpret:
they may be related to the rotation of blocks between the antithetic
fractures (Kim et al., 2004). Cryogenic techniques to preserve wet fabrics
combined with ion beam milling and cryo-SEM (Desbois et al., 2008, 2009,
2013, 2014) are the dedicated techniques for addressing this question in the
future.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12" specific-use="star"><caption><p>Conceptual model of microstructure development in
triaxially deformed COX. (1) and (2) show microfracturing. In (1) intergranular microcracking initiating at non-clay minerals and clay minerals (NCM–CM) interfaces and propagating
within CM. In (2) fragmentation of original fabric by transgranular and
intragranular microfracturing of NCM. (3, 4) Cataclastic shearing with
plasticity of phyllosilicates, macroscopic failure. In (3) incipient of
shearing enhanced by plasticity of phyllosilicates at microfracture
boundaries initiates cataclastic flow of original fabric's fragments. In
(4) ongoing shearing drives cataclastic flow, and reworking of CM in
original fabric's fragments. (5) Resealing of the damage zone by shear and
pore collapse, evolution of clay gouge. See text for details. CM: clay
matrix; NCM: non-clay minerals.</p></caption>
          <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://se.copernicus.org/articles/8/291/2017/se-8-291-2017-f12.png"/>

        </fig>

</sec>
<sec id="Ch1.S5.SS2">
  <title>Deformation mechanisms</title>
      <p>In our experiments, differential stresses exceed the confining pressure by a
factor of 3–15, which would suggest that dilatant fracturing prevails over
other mechanisms (e.g. Kohlstedt et al., 1995). This is partly corroborated
from the stress-strain measurements that show major stress drops after peaks
of stress (Figs. 2 and 3). In agreement with this, at micro-scale the
first conclusion based on the microstructural observations above is the
dominantly cataclastic deformation in Callovo–Oxfordian Clay at confining
pressures up to 10 MPa. Microfracturing, which produces fragments at a range of
scales and reworks them into a phyllosilicate-rich cataclastic gouge during
frictional flow, is the main process in both samples. This is accompanied
by dilatancy and by microfracturing of the original fabric but also by
progressive decrease in porosity and pore size in the gouge with the
non-clay particles embedded in reworked clay. The structure of macro-scale
fracture in the samples compares well with Ishii et al. (2011, 2016).</p>
      <p>Although in many cases the initial fractures propagate around the hard
non-clay grains, there is also significant fracturing of the hard non-clay
minerals (e.g. Fig. 7b–d). This can be due to local stress concentrations
at contacts between adjacent non-clay minerals or because the clay
matrix is so strongly cemented that it can transmit stresses sufficient to
fracture calcite and quartz grains. Broken non-clay minerals can displace or
rotate with respect to each other (Fig. 7d) with local dilatancy during
deformation (Fig. 2b), in agreement with the interpretation of DIC
measurements in Bésuelle and Hall (2011) and Lenoir et al. (2007).</p>
      <p>In COX-2MPa, the propagation of antithetic fractures of Type I (Fig. 7a)
is predominantly in the clay matrix. This is in agreement with the smaller
strain in comparison to antithetic fractures of Type II. Antithetic
fractures of Type II contain angular non-clay grains with smaller size than
those in the host rock. We interpret these as evidence for comminution by
grain fracturing. Matching broken grains (Fig. 7e) are rare and in
agreement with high-strain cataclastic flow. Fragments of clay aggregates in
the antithetic fractures of Type II are much less coherent (Fig. 7h) and
more porous than the undeformed COX (Fig. 7i), indicating strong
remolding by cataclastic flow and perhaps also plastic deformation of
phyllosilicates. Here, because pore morphologies do not show typical shapes
that originate from drying, we interpret this to mean that these developed during
deformation.</p>
      <p>Microstructures in the main synthetic fractures, both in COX-2MPa (Fig. 8)
and COX-10 MPa (Figs. 9 and 11), are similar. Angular non-clay minerals in
the reworked clay matrix have a wide range of grain sizes, smaller than
those in the host rock. These characteristics are typical for cataclasis
(Passchier and Trouw, 2005). In COX-2MPa, the cataclastic gouge seems to be
more porous than in COX-10 MPa; this is as expected for the lower mean
stress, but firm conclusions require further study to exclude that this is
an unloading and drying effect. For COX-10MPa, the porosity in the clay matrix
is clearly reduced in comparison to the one in the host rock: most pores, if
present, are below the resolution of SEM (Figs. 9 and 10). The mechanism of
this compaction during shearing is interpreted to be a combination of
cataclasis of the cemented clay matrix and shear-induced rearrangement of
clay particles around the fragments of non-clay particles.</p>
</sec>
<sec id="Ch1.S5.SS3">
  <title>Conceptual model of microstructure development in triaxially deformed
COX</title>
      <p>Based on BIB–SEM microstructural observations, we propose the following
sequence of micromechanisms in the Callovo–Oxfordian Clay (Fig. 12):</p>
</sec>
<sec id="Ch1.S5.SSx1" specific-use="unnumbered">
  <?xmltex \opttitle{(1) {\&} (2) Microfracturing}?><title>(1) &amp; (2) Microfracturing</title>
      <p>Incipient deformation occurs by intergranular microfractures propagating in
the clay matrix and transgranular and intragranular microfractures propagating in
non-clay minerals, both resulting in the fragmentation of the original
fabric and in agreement with the high compressive strength of this cemented
mudstone. Intergranular microfractures are interpreted to be initiated from
pores, propagating along weak contacts at non-clay mineral–clay matrix
interfaces or along (001) cleavage planes of phyllosilicates (Chiarelli et
al., 2000; Klinkenberg et al., 2009; Den Hartog and Spiers, 2014, Jessel et
al., 2009). Note here that probably the biggest unknown at present in the
micromechanisms of deformation in claystones is the nature of cement bonds
between grains; further work in this project is aimed at understanding this
better.</p>
</sec>
<sec id="Ch1.S5.SSx2" specific-use="unnumbered">
  <?xmltex \opttitle{(3 {\&} 4) Cataclastic shearing with plasticity of phyllosilicates,
macroscopic failure}?><title>(3 &amp; 4) Cataclastic shearing with plasticity of phyllosilicates,
macroscopic failure</title>
      <p>Further deformation occurs by frictional sliding affecting the process zone
at microfracture boundaries and in relays between fractures. Mechanisms are
abrasion and bending of phyllosilicates by cataclastic and crystal plastic
mechanisms. This is accompanied by rotation of fragments and cataclastic
flow. This stage is interpreted to start at the peak stress in the
stress-strain curve, accompanied by local dilatancy. At the specimen scale,
fractures link up, resulting in loss of cohesion. In restraining sections
along the fractures, reworking of the clay matrix reduces porosity and
eliminates large pores, changing the pore size distributions. The specimen
suffers from a major loss of cohesion accompanied by dilatancy and stress
drop after peak stress.</p>
</sec>
<sec id="Ch1.S5.SSx3" specific-use="unnumbered">
  <title>(5) Resealing of the damage zone by shear and pore collapse, evolution of
clay gouge</title>
      <p>Ongoing abrasion of the fragments and comminution develop a cataclastic
fabric. A full understanding of the deformation mechanisms in cataclastic
clay aggregates requires more work, but the grain sliding (Chiarelli et al.,
2000) and grain rotation between low-friction clay particles together with
collapsing of porosity is inferred because (i) slip on the (001) basal
planes of clay particles is much easier than shearing related to grain
breakage (see Haines et al., 2013 and Crider, 2015) and (ii) residual
strength observed after specimen failure argues for sliding between low
frictional clay particles (Lupini et al., 1981). At sufficiently high strain,
this stage would correspond to the residual strength, resulting in the resealing
of initial fracture porosity by filling the fractures with clay gouge. In
this stage, cataclasis of non-clay particles is expected to become less
important because they are embedded in reworked clay.</p>
      <p>The conceptual model above for microstructure evolution in triaxially
deformed COX is a first look based on direct grain-scale observation of
microstructures. Our ongoing studies focus on the nature of the cement and
microstructures of the damage zone at fracture tips to better understand
the localisation mechanisms.</p>
</sec>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <title>Conclusions</title>
      <p>The integration of bulk stress-strain data and the analysis of displacement
fields by 3-D and 2-D digital image correlation (DIC) with broad ion beam
cutting and scanning electron microscopy (BIB–SEM) is a powerful multi-scale
method to study the deformation behaviour of mudstones.</p>
      <p>We studied samples of Callovo–Oxfordian Clay (COX) subjected to triaxial
compression at 2 and 10 MPa confining pressure. DIC was used to locate
regions deformed to different states of strain and BIB–SEM allows
microstructural investigations of mineral and porosity fabrics down to
the nanometre scale.</p>
      <p>Microstructures show evidence for dominantly cataclastic mechanisms
(intergranular, transgranular, intragranular cracking, grain rotation, clay
particle bending) down to the nanometre scale.</p>
      <p>At low strain, the dilatant fabric contains individually recognisable open
fractures, while at high strain in shear fractures the reworked clay gouge
evolves towards smaller pores than the undeformed material and corresponding
resealing of initial fracture porosity. This shear-induced resealing is more
important at the higher confining pressure.</p>
      <p>This study provides a first step towards a microphysical basis for
constitutive models of deformation and fluid flow in cemented mudstones,
with an improved extrapolation of these models for long timescales.</p>
      <p>In the future, the microstructures in experimentally deformed specimens
need to be compared with the microstructures in naturally deformed
claystones (Laurich et al., 2014) in order to help extrapolate the
constitutive models to long timescales.</p>
</sec>
<sec id="Ch1.S7">
  <title>Data availability</title>
      <p>This publication is based on deformation experiments performed by Lenoir et al. (2007) and Besuelle and Hall (2011).
These papers are mentioned in the manuscript and available on the journal websites.</p>
</sec>

      
      </body>
    <back><notes notes-type="competinginterests">

      <p>The authors declare that they have no conflict of interest.</p>
  </notes><ack><title>Acknowledgements</title><p>We thank ANDRA for providing samples. We are very grateful to the
reviewers G. Dresen and A. Dimanov for their constructive and valuable
comments.
<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: R. Heilbronner<?xmltex \hack{\newline}?>
Reviewed by:  G. Dresen and A. Dimanov</p></ack><ref-list>
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    <!--<article-title-html>Deformation in cemented mudrock (Callovo–Oxfordian Clay) by microcracking, granular flow and phyllosilicate plasticity: insights from triaxial deformation, broad ion beam polishing and scanning electron microscopy</article-title-html>
<abstract-html><p class="p">The macroscopic description of deformation and fluid flow in mudrocks can be
improved by a better understanding of microphysical deformation mechanisms.
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Microstructures show evidence for dominantly cataclastic and minor crystal
plastic mechanisms (intergranular, transgranular, intragranular cracking,
grain rotation, clay particle bending) down to the nanometre scale. At low strain, the
dilatant fabric contains individually recognisable open fractures, while at
high strain the reworked clay gouge also contains broken non-clay grains and
smaller pores than the undeformed material, resealing the initial fracture
porosity.</p></abstract-html>
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