Articles | Volume 15, issue 1
https://doi.org/10.5194/se-15-63-2024
© Author(s) 2024. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/se-15-63-2024
© Author(s) 2024. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Integration of automatic implicit geological modelling in deterministic geophysical inversion
Jérémie Giraud
CORRESPONDING AUTHOR
GeoRessources, Université de Lorraine, CNRS, 54000 Nancy, France
Centre for Exploration Targeting (School of Earth Sciences), University of Western Australia, 35 Stirling Highway, 6009 Crawley, WA, Australia
Guillaume Caumon
GeoRessources, Université de Lorraine, CNRS, 54000 Nancy, France
Lachlan Grose
School of Earth Atmosphere and Environment, Monash University, 3800 Melbourne, VIC, Australia
Vitaliy Ogarko
Centre for Exploration Targeting (School of Earth Sciences), University of Western Australia, 35 Stirling Highway, 6009 Crawley, WA, Australia
Mineral Exploration Cooperative Research Centre, University of Western Australia, 35 Stirling Highway, 6009 Crawley, WA, Australia
Paul Cupillard
GeoRessources, Université de Lorraine, CNRS, 54000 Nancy, France
Related authors
Vitaliy Ogarko, Kim Frankcombe, Taige Liu, Jeremie Giraud, Roland Martin, and Mark Jessell
Geosci. Model Dev., 17, 2325–2345, https://doi.org/10.5194/gmd-17-2325-2024, https://doi.org/10.5194/gmd-17-2325-2024, 2024
Short summary
Short summary
We present a major release of the Tomofast-x open-source gravity and magnetic inversion code that is enhancing its performance and applicability for both industrial and academic studies. We focus on real-world mineral exploration scenarios, while offering flexibility for applications at regional scale or for crustal studies. The optimisation work described in this paper is fundamental to allowing more complete descriptions of the controls on magnetisation, including remanence.
Jérémie Giraud, Hoël Seillé, Mark D. Lindsay, Gerhard Visser, Vitaliy Ogarko, and Mark W. Jessell
Solid Earth, 14, 43–68, https://doi.org/10.5194/se-14-43-2023, https://doi.org/10.5194/se-14-43-2023, 2023
Short summary
Short summary
We propose and apply a workflow to combine the modelling and interpretation of magnetic anomalies and resistivity anomalies to better image the basement. We test the method on a synthetic case study and apply it to real world data from the Cloncurry area (Queensland, Australia), which is prospective for economic minerals. Results suggest a new interpretation of the composition and structure towards to east of the profile that we modelled.
Guillaume Pirot, Ranee Joshi, Jérémie Giraud, Mark Douglas Lindsay, and Mark Walter Jessell
Geosci. Model Dev., 15, 4689–4708, https://doi.org/10.5194/gmd-15-4689-2022, https://doi.org/10.5194/gmd-15-4689-2022, 2022
Short summary
Short summary
Results of a survey launched among practitioners in the mineral industry show that despite recognising the importance of uncertainty quantification it is not very well performed due to lack of data, time requirements, poor tracking of interpretations and relative complexity of uncertainty quantification. To alleviate the latter, we provide an open-source set of local and global indicators to measure geological uncertainty among an ensemble of geological models.
Richard Scalzo, Mark Lindsay, Mark Jessell, Guillaume Pirot, Jeremie Giraud, Edward Cripps, and Sally Cripps
Geosci. Model Dev., 15, 3641–3662, https://doi.org/10.5194/gmd-15-3641-2022, https://doi.org/10.5194/gmd-15-3641-2022, 2022
Short summary
Short summary
This paper addresses numerical challenges in reasoning about geological models constrained by sensor data, especially models that describe the history of an area in terms of a sequence of events. Our method ensures that small changes in simulated geological features, such as the position of a boundary between two rock layers, do not result in unrealistically large changes to resulting sensor measurements, as occur presently using several popular modeling packages.
Mark Jessell, Jiateng Guo, Yunqiang Li, Mark Lindsay, Richard Scalzo, Jérémie Giraud, Guillaume Pirot, Ed Cripps, and Vitaliy Ogarko
Earth Syst. Sci. Data, 14, 381–392, https://doi.org/10.5194/essd-14-381-2022, https://doi.org/10.5194/essd-14-381-2022, 2022
Short summary
Short summary
To robustly train and test automated methods in the geosciences, we need to have access to large numbers of examples where we know
the answer. We present a suite of synthetic 3D geological models with their gravity and magnetic responses that allow researchers to test their methods on a whole range of geologically plausible models, thus overcoming one of the fundamental limitations of automation studies.
Jérémie Giraud, Vitaliy Ogarko, Roland Martin, Mark Jessell, and Mark Lindsay
Geosci. Model Dev., 14, 6681–6709, https://doi.org/10.5194/gmd-14-6681-2021, https://doi.org/10.5194/gmd-14-6681-2021, 2021
Short summary
Short summary
We review different techniques to model the Earth's subsurface from geophysical data (gravity field anomaly, magnetic field anomaly) using geological models and measurements of the rocks' properties. We show examples of application using idealised examples reproducing realistic features and provide theoretical details of the open-source algorithm we use.
Mahtab Rashidifard, Jérémie Giraud, Mark Lindsay, Mark Jessell, and Vitaliy Ogarko
Solid Earth, 12, 2387–2406, https://doi.org/10.5194/se-12-2387-2021, https://doi.org/10.5194/se-12-2387-2021, 2021
Short summary
Short summary
One motivation for this study is to develop a workflow that enables the integration of geophysical datasets with different coverages that are quite common in exploration geophysics. We have utilized a level set approach to achieve this goal. The utilized technique parameterizes the subsurface in the same fashion as geological models. Our results indicate that the approach is capable of integrating information from seismic data in 2D to guide the 3D inversion results of the gravity data.
Jérémie Giraud, Mark Lindsay, Mark Jessell, and Vitaliy Ogarko
Solid Earth, 11, 419–436, https://doi.org/10.5194/se-11-419-2020, https://doi.org/10.5194/se-11-419-2020, 2020
Short summary
Short summary
We propose a methodology for the identification of rock types using geophysical and geological information. It relies on an algorithm used in machine learning called
self-organizing maps, to which we add plausibility filters to ensure that the results respect base geological rules and geophysical measurements. Application in the Yerrida Basin (Western Australia) reveals that the thinning of prospective greenstone belts at depth could be due to deep structures not seen from surface.
Evren Pakyuz-Charrier, Mark Jessell, Jérémie Giraud, Mark Lindsay, and Vitaliy Ogarko
Solid Earth, 10, 1663–1684, https://doi.org/10.5194/se-10-1663-2019, https://doi.org/10.5194/se-10-1663-2019, 2019
Short summary
Short summary
This paper improves the Monte Carlo simulation for uncertainty propagation (MCUP) method for 3-D geological modeling. Topological heterogeneity is observed in the model suite. The study demonstrates that such heterogeneity arises from piecewise nonlinearity inherent to 3-D geological models and contraindicates use of global uncertainty estimation methods. Topological-clustering-driven uncertainty estimation is proposed as a demonstrated alternative to address plausible model heterogeneity.
Jeremie Giraud, Mark Lindsay, Vitaliy Ogarko, Mark Jessell, Roland Martin, and Evren Pakyuz-Charrier
Solid Earth, 10, 193–210, https://doi.org/10.5194/se-10-193-2019, https://doi.org/10.5194/se-10-193-2019, 2019
Short summary
Short summary
We propose the quantitative integration of geology and geophysics in an algorithm integrating the probability of observation of rocks with gravity data to improve subsurface imaging. This allows geophysical modelling to adjust models preferentially in the least certain areas while honouring geological information and geophysical data. We validate our algorithm using an idealized case and apply it to the Yerrida Basin (Australia), where we can recover the geometry of buried greenstone belts.
Evren Pakyuz-Charrier, Mark Lindsay, Vitaliy Ogarko, Jeremie Giraud, and Mark Jessell
Solid Earth, 9, 385–402, https://doi.org/10.5194/se-9-385-2018, https://doi.org/10.5194/se-9-385-2018, 2018
Short summary
Short summary
MCUE is a method that produces probabilistic 3-D geological models by sampling from distributions that represent the uncertainty of the initial input dataset. This process generates numerous plausible datasets used to produce a range of statistically plausible 3-D models which are combined into a single probabilistic model. In this paper, improvements to distribution selection and parameterization for input uncertainty are proposed.
Melchior Schuh-Senlis, Guillaume Caumon, and Paul Cupillard
Solid Earth, 15, 945–964, https://doi.org/10.5194/se-15-945-2024, https://doi.org/10.5194/se-15-945-2024, 2024
Short summary
Short summary
This paper presents the application of a numerical method for restoring models of the subsurface to a previous state in their deformation history, acting as a numerical time machine for geological structures. The method is applied to a model based on a laboratory experiment. The results show that using force conditions in the computation of the deformation allows us to assess the value of some previously unknown physical parameters of the different materials inside the model.
Vitaliy Ogarko, Kim Frankcombe, Taige Liu, Jeremie Giraud, Roland Martin, and Mark Jessell
Geosci. Model Dev., 17, 2325–2345, https://doi.org/10.5194/gmd-17-2325-2024, https://doi.org/10.5194/gmd-17-2325-2024, 2024
Short summary
Short summary
We present a major release of the Tomofast-x open-source gravity and magnetic inversion code that is enhancing its performance and applicability for both industrial and academic studies. We focus on real-world mineral exploration scenarios, while offering flexibility for applications at regional scale or for crustal studies. The optimisation work described in this paper is fundamental to allowing more complete descriptions of the controls on magnetisation, including remanence.
Fernanda Alvarado-Neves, Laurent Ailleres, Lachlan Grose, Alexander R. Cruden, and Robin Armit
Geosci. Model Dev., 17, 1975–1993, https://doi.org/10.5194/gmd-17-1975-2024, https://doi.org/10.5194/gmd-17-1975-2024, 2024
Short summary
Short summary
Previous work has demonstrated that adding geological knowledge to modelling methods creates more accurate and reliable models. Following this reasoning, we added constraints from magma emplacement mechanisms into existing modelling frameworks to improve the 3D characterisation of igneous intrusions. We tested the method on synthetic and real-world case studies, and the results show that our method can reproduce intrusion morphologies with no manual processing and using realistic datasets.
Jiateng Guo, Xuechuang Xu, Luyuan Wang, Xulei Wang, Lixin Wu, Mark Jessell, Vitaliy Ogarko, Zhibin Liu, and Yufei Zheng
Geosci. Model Dev., 17, 957–973, https://doi.org/10.5194/gmd-17-957-2024, https://doi.org/10.5194/gmd-17-957-2024, 2024
Short summary
Short summary
This study proposes a semi-supervised learning algorithm using pseudo-labels for 3D geological modelling. We establish a 3D geological model using borehole data from a complex real urban local survey area in Shenyang and make an uncertainty analysis of this model. The method effectively expands the sample space, which is suitable for geomodelling and uncertainty analysis from boreholes. The modelling results perform well in terms of spatial morphology and geological semantics.
Jérémie Giraud, Hoël Seillé, Mark D. Lindsay, Gerhard Visser, Vitaliy Ogarko, and Mark W. Jessell
Solid Earth, 14, 43–68, https://doi.org/10.5194/se-14-43-2023, https://doi.org/10.5194/se-14-43-2023, 2023
Short summary
Short summary
We propose and apply a workflow to combine the modelling and interpretation of magnetic anomalies and resistivity anomalies to better image the basement. We test the method on a synthetic case study and apply it to real world data from the Cloncurry area (Queensland, Australia), which is prospective for economic minerals. Results suggest a new interpretation of the composition and structure towards to east of the profile that we modelled.
Guillaume Pirot, Ranee Joshi, Jérémie Giraud, Mark Douglas Lindsay, and Mark Walter Jessell
Geosci. Model Dev., 15, 4689–4708, https://doi.org/10.5194/gmd-15-4689-2022, https://doi.org/10.5194/gmd-15-4689-2022, 2022
Short summary
Short summary
Results of a survey launched among practitioners in the mineral industry show that despite recognising the importance of uncertainty quantification it is not very well performed due to lack of data, time requirements, poor tracking of interpretations and relative complexity of uncertainty quantification. To alleviate the latter, we provide an open-source set of local and global indicators to measure geological uncertainty among an ensemble of geological models.
Richard Scalzo, Mark Lindsay, Mark Jessell, Guillaume Pirot, Jeremie Giraud, Edward Cripps, and Sally Cripps
Geosci. Model Dev., 15, 3641–3662, https://doi.org/10.5194/gmd-15-3641-2022, https://doi.org/10.5194/gmd-15-3641-2022, 2022
Short summary
Short summary
This paper addresses numerical challenges in reasoning about geological models constrained by sensor data, especially models that describe the history of an area in terms of a sequence of events. Our method ensures that small changes in simulated geological features, such as the position of a boundary between two rock layers, do not result in unrealistically large changes to resulting sensor measurements, as occur presently using several popular modeling packages.
Fernanda Alvarado-Neves, Laurent Ailleres, Lachlan Grose, Alexander R. Cruden, and Robin Armit
Geosci. Model Dev. Discuss., https://doi.org/10.5194/gmd-2022-88, https://doi.org/10.5194/gmd-2022-88, 2022
Preprint withdrawn
Short summary
Short summary
We introduce a method to model igneous intrusions for 3D geological modelling. We use a parameterization of the intrusion body geometry that could be constrained using field observations. Using this parametrization, we simulate distance thresholds that represent the lateral and vertical extent of the intrusion body. We demonstrate the method with two case studies, and we present a comparison with Radial Basis Function interpolation using a case study of a sill complex located in NW Australia.
Mark Jessell, Jiateng Guo, Yunqiang Li, Mark Lindsay, Richard Scalzo, Jérémie Giraud, Guillaume Pirot, Ed Cripps, and Vitaliy Ogarko
Earth Syst. Sci. Data, 14, 381–392, https://doi.org/10.5194/essd-14-381-2022, https://doi.org/10.5194/essd-14-381-2022, 2022
Short summary
Short summary
To robustly train and test automated methods in the geosciences, we need to have access to large numbers of examples where we know
the answer. We present a suite of synthetic 3D geological models with their gravity and magnetic responses that allow researchers to test their methods on a whole range of geologically plausible models, thus overcoming one of the fundamental limitations of automation studies.
Jérémie Giraud, Vitaliy Ogarko, Roland Martin, Mark Jessell, and Mark Lindsay
Geosci. Model Dev., 14, 6681–6709, https://doi.org/10.5194/gmd-14-6681-2021, https://doi.org/10.5194/gmd-14-6681-2021, 2021
Short summary
Short summary
We review different techniques to model the Earth's subsurface from geophysical data (gravity field anomaly, magnetic field anomaly) using geological models and measurements of the rocks' properties. We show examples of application using idealised examples reproducing realistic features and provide theoretical details of the open-source algorithm we use.
Mahtab Rashidifard, Jérémie Giraud, Mark Lindsay, Mark Jessell, and Vitaliy Ogarko
Solid Earth, 12, 2387–2406, https://doi.org/10.5194/se-12-2387-2021, https://doi.org/10.5194/se-12-2387-2021, 2021
Short summary
Short summary
One motivation for this study is to develop a workflow that enables the integration of geophysical datasets with different coverages that are quite common in exploration geophysics. We have utilized a level set approach to achieve this goal. The utilized technique parameterizes the subsurface in the same fashion as geological models. Our results indicate that the approach is capable of integrating information from seismic data in 2D to guide the 3D inversion results of the gravity data.
Lachlan Grose, Laurent Ailleres, Gautier Laurent, Guillaume Caumon, Mark Jessell, and Robin Armit
Geosci. Model Dev., 14, 6197–6213, https://doi.org/10.5194/gmd-14-6197-2021, https://doi.org/10.5194/gmd-14-6197-2021, 2021
Short summary
Short summary
Fault discontinuities in rock packages represent the plane where two blocks of rock have moved. They are challenging to incorporate into geological models because the geometry of the faulted rock units are defined by not only the location of the discontinuity but also the kinematics of the fault. In this paper, we outline a structural geology framework for incorporating faults into geological models by directly incorporating kinematics into the mathematical framework of the model.
Mark Jessell, Vitaliy Ogarko, Yohan de Rose, Mark Lindsay, Ranee Joshi, Agnieszka Piechocka, Lachlan Grose, Miguel de la Varga, Laurent Ailleres, and Guillaume Pirot
Geosci. Model Dev., 14, 5063–5092, https://doi.org/10.5194/gmd-14-5063-2021, https://doi.org/10.5194/gmd-14-5063-2021, 2021
Short summary
Short summary
We have developed software that allows the user to extract sufficient information from unmodified digital maps and associated datasets that we are able to use to automatically build 3D geological models. By automating the process we are able to remove human bias from the procedure, which makes the workflow reproducible.
Lachlan Grose, Laurent Ailleres, Gautier Laurent, and Mark Jessell
Geosci. Model Dev., 14, 3915–3937, https://doi.org/10.5194/gmd-14-3915-2021, https://doi.org/10.5194/gmd-14-3915-2021, 2021
Short summary
Short summary
LoopStructural is an open-source 3D geological modelling library with a model design allowing for multiple different algorithms to be used for comparison for the same geology. Geological structures are modelled using structural geology concepts and techniques, allowing for complex structures such as overprinted folds and faults to be modelled. In the paper, we demonstrate automatically generating a 3-D model from map2loop-processed geological survey data of the Flinders Ranges, South Australia.
Melchior Schuh-Senlis, Cedric Thieulot, Paul Cupillard, and Guillaume Caumon
Solid Earth, 11, 1909–1930, https://doi.org/10.5194/se-11-1909-2020, https://doi.org/10.5194/se-11-1909-2020, 2020
Short summary
Short summary
This paper presents a numerical method for restoring models of the subsurface to a previous state in their deformation history, acting as a numerical time machine for geological structures. The method relies on the assumption that rock layers can be modeled as highly viscous fluids. It shows promising results on simple setups, including models with faults and non-flat topography. While issues still remain, this could open a way to add more physics to reverse time structural modeling.
Jérémie Giraud, Mark Lindsay, Mark Jessell, and Vitaliy Ogarko
Solid Earth, 11, 419–436, https://doi.org/10.5194/se-11-419-2020, https://doi.org/10.5194/se-11-419-2020, 2020
Short summary
Short summary
We propose a methodology for the identification of rock types using geophysical and geological information. It relies on an algorithm used in machine learning called
self-organizing maps, to which we add plausibility filters to ensure that the results respect base geological rules and geophysical measurements. Application in the Yerrida Basin (Western Australia) reveals that the thinning of prospective greenstone belts at depth could be due to deep structures not seen from surface.
Evren Pakyuz-Charrier, Mark Jessell, Jérémie Giraud, Mark Lindsay, and Vitaliy Ogarko
Solid Earth, 10, 1663–1684, https://doi.org/10.5194/se-10-1663-2019, https://doi.org/10.5194/se-10-1663-2019, 2019
Short summary
Short summary
This paper improves the Monte Carlo simulation for uncertainty propagation (MCUP) method for 3-D geological modeling. Topological heterogeneity is observed in the model suite. The study demonstrates that such heterogeneity arises from piecewise nonlinearity inherent to 3-D geological models and contraindicates use of global uncertainty estimation methods. Topological-clustering-driven uncertainty estimation is proposed as a demonstrated alternative to address plausible model heterogeneity.
Jeremie Giraud, Mark Lindsay, Vitaliy Ogarko, Mark Jessell, Roland Martin, and Evren Pakyuz-Charrier
Solid Earth, 10, 193–210, https://doi.org/10.5194/se-10-193-2019, https://doi.org/10.5194/se-10-193-2019, 2019
Short summary
Short summary
We propose the quantitative integration of geology and geophysics in an algorithm integrating the probability of observation of rocks with gravity data to improve subsurface imaging. This allows geophysical modelling to adjust models preferentially in the least certain areas while honouring geological information and geophysical data. We validate our algorithm using an idealized case and apply it to the Yerrida Basin (Australia), where we can recover the geometry of buried greenstone belts.
Evren Pakyuz-Charrier, Mark Lindsay, Vitaliy Ogarko, Jeremie Giraud, and Mark Jessell
Solid Earth, 9, 385–402, https://doi.org/10.5194/se-9-385-2018, https://doi.org/10.5194/se-9-385-2018, 2018
Short summary
Short summary
MCUE is a method that produces probabilistic 3-D geological models by sampling from distributions that represent the uncertainty of the initial input dataset. This process generates numerous plausible datasets used to produce a range of statistically plausible 3-D models which are combined into a single probabilistic model. In this paper, improvements to distribution selection and parameterization for input uncertainty are proposed.
Samuel T. Thiele, Lachlan Grose, Anindita Samsu, Steven Micklethwaite, Stefan A. Vollgger, and Alexander R. Cruden
Solid Earth, 8, 1241–1253, https://doi.org/10.5194/se-8-1241-2017, https://doi.org/10.5194/se-8-1241-2017, 2017
Short summary
Short summary
We demonstrate a new method that enhances our ability to interpret large datasets commonly used in the earth sciences, including point clouds and rasters. Implemented as plugins for CloudCompare and QGIS, we use a least-cost-path solver to track structures and contacts through data, allowing for expert-guided interpretation in a way that seamlessly utilises computing power to optimise the interpretation process and improve objectivity and consistency.
Related subject area
Subject area: The evolving Earth surface | Editorial team: Seismics, seismology, paleoseismology, geoelectrics, and electromagnetics | Discipline: Geophysics
Seismic wave modeling of fluid-saturated fractured porous rock: including fluid pressure diffusion effects of discretely distributed large-scale fractures
Ground motion emissions due to wind turbines: observations, acoustic coupling, and attenuation relationships
Seismic amplitude response to internal heterogeneity of mass-transport deposits
Investigation of the effects of surrounding media on the distributed acoustic sensing of a helically wound fibre-optic cable with application to the New Afton deposit, British Columbia
Geophysical analysis of an area affected by subsurface dissolution – case study of an inland salt marsh in northern Thuringia, Germany
An efficient probabilistic workflow for estimating induced earthquake parameters in 3D heterogeneous media
Dynamic motion monitoring of a 3.6 km long steel rod in a borehole during cold-water injection with distributed fiber-optic sensing
On the comparison of strain measurements from fibre optics with a dense seismometer array at Etna volcano (Italy)
The impact of seismic interpretation methods on the analysis of faults: a case study from the Snøhvit field, Barents Sea
Integrated land and water-borne geophysical surveys shed light on the sudden drying of large karst lakes in southern Mexico
On the morphology and amplitude of 2D and 3D thermal anomalies induced by buoyancy-driven flow within and around fault zones
Characterizing a decametre-scale granitic reservoir using ground-penetrating radar and seismic methods
Upper Jurassic carbonate buildups in the Miechów Trough, southern Poland – insights from seismic data interpretations
New regional stratigraphic insights from a 3D geological model of the Nasia sub-basin, Ghana, developed for hydrogeological purposes and based on reprocessed B-field data originally collected for mineral exploration
Characterisation of subglacial water using a constrained transdimensional Bayesian transient electromagnetic inversion
Subsurface characterization of a quick-clay vulnerable area using near-surface geophysics and hydrological modelling
Electrical formation factor of clean sand from laboratory measurements and digital rock physics
Drill bit noise imaging without pilot trace, a near-surface interferometry example
Calibrating a new attenuation curve for the Dead Sea region using surface wave dispersion surveys in sites damaged by the 1927 Jericho earthquake
Shear wave reflection seismic yields subsurface dissolution and subrosion patterns: application to the Ghor Al-Haditha sinkhole site, Dead Sea, Jordan
Yingkai Qi, Xuehua Chen, Qingwei Zhao, Xin Luo, and Chunqiang Feng
Solid Earth, 15, 535–554, https://doi.org/10.5194/se-15-535-2024, https://doi.org/10.5194/se-15-535-2024, 2024
Short summary
Short summary
Fractures tend to dominate the mechanical and hydraulic properties of porous rock and impact the scattering characteristics of passing waves. This study takes into account the poroelastic effects of fractures in numerical modeling. Our results demonstrate that scattered waves from complex fracture systems are strongly affected by the fractures.
Laura Gaßner and Joachim Ritter
Solid Earth, 14, 785–803, https://doi.org/10.5194/se-14-785-2023, https://doi.org/10.5194/se-14-785-2023, 2023
Short summary
Short summary
In this work we analyze signals emitted from wind turbines. They induce sound as well as ground motion waves which propagate through the subsurface and are registered by sensitive instruments. In our data we observe when these signals are present and how strong they are. Some signals are present in ground motion and sound data, providing the opportunity to study similarities and better characterize emissions. Furthermore, we study the amplitudes with distance to improve the signal prediction.
Jonathan Ford, Angelo Camerlenghi, Francesca Zolezzi, and Marilena Calarco
Solid Earth, 14, 137–151, https://doi.org/10.5194/se-14-137-2023, https://doi.org/10.5194/se-14-137-2023, 2023
Short summary
Short summary
Submarine landslides commonly appear as low-amplitude zones in seismic data. Previous studies have attributed this to a lack of preserved internal structure. We use seismic modelling to show that an amplitude reduction can be generated even when there is still metre-scale internal structure, by simply deforming the bedding. This has implications for interpreting failure type, for core-seismic correlation and for discriminating landslides from other "transparent" phenomena such as free gas.
Sepidehalsadat Hendi, Mostafa Gorjian, Gilles Bellefleur, Christopher D. Hawkes, and Don White
Solid Earth, 14, 89–99, https://doi.org/10.5194/se-14-89-2023, https://doi.org/10.5194/se-14-89-2023, 2023
Short summary
Short summary
In this study, the modelling results are used to help understand the performance of a helically wound fibre (HWC) from a field study at the New Afton mine, British Columbia. We introduce the numerical 3D model to model strain values in HWC to design more effective HWC system. The DAS dataset at New Afton, interpreted in the context of our modelling, serves as a practical demonstration of the extreme effects of surrounding media and coupling on HWC data quality.
Sonja H. Wadas, Hermann Buness, Raphael Rochlitz, Peter Skiba, Thomas Günther, Michael Grinat, David C. Tanner, Ulrich Polom, Gerald Gabriel, and Charlotte M. Krawczyk
Solid Earth, 13, 1673–1696, https://doi.org/10.5194/se-13-1673-2022, https://doi.org/10.5194/se-13-1673-2022, 2022
Short summary
Short summary
The dissolution of rocks poses a severe hazard because it can cause subsidence and sinkhole formation. Based on results from our study area in Thuringia, Germany, using P- and SH-wave reflection seismics, electrical resistivity and electromagnetic methods, and gravimetry, we develop a geophysical investigation workflow. This workflow enables identifying the initial triggers of subsurface dissolution and its control factors, such as structural constraints, fluid pathways, and mass movement.
La Ode Marzujriban Masfara, Thomas Cullison, and Cornelis Weemstra
Solid Earth, 13, 1309–1325, https://doi.org/10.5194/se-13-1309-2022, https://doi.org/10.5194/se-13-1309-2022, 2022
Short summary
Short summary
Induced earthquakes are natural phenomena in which the events are associated with human activities. Although the magnitudes of these events are mostly smaller than tectonic events, in some cases, the magnitudes can be high enough to damage buildings near the event's location. To study these (high-magnitude) induced events, we developed a workflow in which the recorded data from an earthquake are used to describe the source and monitor the area for other (potentially high-magnitude) earthquakes.
Martin Peter Lipus, Felix Schölderle, Thomas Reinsch, Christopher Wollin, Charlotte Krawczyk, Daniela Pfrang, and Kai Zosseder
Solid Earth, 13, 161–176, https://doi.org/10.5194/se-13-161-2022, https://doi.org/10.5194/se-13-161-2022, 2022
Short summary
Short summary
A fiber-optic cable was installed along a freely suspended rod in a deep geothermal well in Munich, Germany. A cold-water injection test was monitored with fiber-optic distributed acoustic and temperature sensing. During injection, we observe vibrational events in the lower part of the well. On the basis of a mechanical model, we conclude that the vibrational events are caused by thermal contraction of the rod. The results illustrate potential artifacts when analyzing downhole acoustic data.
Gilda Currenti, Philippe Jousset, Rosalba Napoli, Charlotte Krawczyk, and Michael Weber
Solid Earth, 12, 993–1003, https://doi.org/10.5194/se-12-993-2021, https://doi.org/10.5194/se-12-993-2021, 2021
Short summary
Short summary
We investigate the capability of distributed acoustic sensing (DAS) to record dynamic strain changes related to Etna volcano activity in 2019. To validate the DAS measurements, we compute strain estimates from seismic signals recorded by a dense broadband array. A general good agreement is found between array-derived strain and DAS measurements along the fibre optic cable. Localised short wavelength discrepancies highlight small-scale structural heterogeneities in the investigated area.
Jennifer E. Cunningham, Nestor Cardozo, Chris Townsend, and Richard H. T. Callow
Solid Earth, 12, 741–764, https://doi.org/10.5194/se-12-741-2021, https://doi.org/10.5194/se-12-741-2021, 2021
Short summary
Short summary
This work investigates the impact of commonly used seismic interpretation methods on the analysis of faults. Fault analysis refers to fault length, displacement, and the impact these factors have on geological modelling and hydrocarbon volume calculation workflows. This research was conducted to give geoscientists a better understanding of the importance of interpretation methods and the impact of unsuitable methology on geological analyses.
Matthias Bücker, Adrián Flores Orozco, Jakob Gallistl, Matthias Steiner, Lukas Aigner, Johannes Hoppenbrock, Ruth Glebe, Wendy Morales Barrera, Carlos Pita de la Paz, César Emilio García García, José Alberto Razo Pérez, Johannes Buckel, Andreas Hördt, Antje Schwalb, and Liseth Pérez
Solid Earth, 12, 439–461, https://doi.org/10.5194/se-12-439-2021, https://doi.org/10.5194/se-12-439-2021, 2021
Short summary
Short summary
We use seismic, electromagnetic, and geoelectrical methods to assess sediment thickness and lake-bottom geology of two karst lakes. An unexpected drainage event provided us with the unusual opportunity to compare water-borne measurements with measurements carried out on the dry lake floor. The resulting data set does not only provide insight into the specific lake-bottom geology of the studied lakes but also evidences the potential and limitations of the employed field methods.
Laurent Guillou-Frottier, Hugo Duwiquet, Gaëtan Launay, Audrey Taillefer, Vincent Roche, and Gaétan Link
Solid Earth, 11, 1571–1595, https://doi.org/10.5194/se-11-1571-2020, https://doi.org/10.5194/se-11-1571-2020, 2020
Short summary
Short summary
In the first kilometers of the subsurface, temperature anomalies due to heat conduction rarely exceed 20–30°C. However, when deep hot fluids in the shallow crust flow upwards, for example through permeable fault zones, hydrothermal convection can form high-temperature geothermal reservoirs. Numerical modeling of hydrothermal convection shows that vertical fault zones may host funnel-shaped, kilometer-sized geothermal reservoirs whose exploitation would not need drilling at depths below 2–3 km.
Joseph Doetsch, Hannes Krietsch, Cedric Schmelzbach, Mohammadreza Jalali, Valentin Gischig, Linus Villiger, Florian Amann, and Hansruedi Maurer
Solid Earth, 11, 1441–1455, https://doi.org/10.5194/se-11-1441-2020, https://doi.org/10.5194/se-11-1441-2020, 2020
Łukasz Słonka and Piotr Krzywiec
Solid Earth, 11, 1097–1119, https://doi.org/10.5194/se-11-1097-2020, https://doi.org/10.5194/se-11-1097-2020, 2020
Short summary
Short summary
This paper shows the results of seismic interpretations that document the presence of large Upper Jurassic carbonate buildups in the Miechów Trough (S Poland). Our work fills the gap in recognition of the Upper Jurassic carbonate depositional system of southern Poland. The results also provide an excellent generic reference point, showing how and to what extent seismic data can be used for studies of carbonate depositional systems, in particular for the identification of the carbonate buildups.
Elikplim Abla Dzikunoo, Giulio Vignoli, Flemming Jørgensen, Sandow Mark Yidana, and Bruce Banoeng-Yakubo
Solid Earth, 11, 349–361, https://doi.org/10.5194/se-11-349-2020, https://doi.org/10.5194/se-11-349-2020, 2020
Short summary
Short summary
Time-domain electromagnetic (TEM) geophysics data originally collected for mining purposes were reprocessed and inverted. The new inversions were used to construct a 3D model of the subsurface geology to facilitate hydrogeological investigations within a DANIDA-funded project. Improved resolutions from the TEM enabled the identification of possible paleovalleys of glacial origin, suggesting the need for a reevaluation of the current lithostratigraphy of the Voltaian sedimentary basin.
Siobhan F. Killingbeck, Adam D. Booth, Philip W. Livermore, C. Richard Bates, and Landis J. West
Solid Earth, 11, 75–94, https://doi.org/10.5194/se-11-75-2020, https://doi.org/10.5194/se-11-75-2020, 2020
Short summary
Short summary
This paper presents MuLTI-TEM, a Bayesian inversion tool for inverting TEM data with independent depth constraints to provide statistical properties and uncertainty analysis of the resistivity profile with depth. MuLTI-TEM is highly versatile, being compatible with most TEM survey designs, ground-based or airborne, along with the depth constraints being provided from any external source. Here, we present an application of MuLTI-TEM to characterise the subglacial water under a Norwegian glacier.
Silvia Salas-Romero, Alireza Malehmir, Ian Snowball, and Benoît Dessirier
Solid Earth, 10, 1685–1705, https://doi.org/10.5194/se-10-1685-2019, https://doi.org/10.5194/se-10-1685-2019, 2019
Short summary
Short summary
Land–river reflection seismic, hydrogeological modelling, and magnetic investigations in an area prone to quick-clay landslides in SW Sweden provide a detailed description of the subsurface structures, such as undulating fractured bedrock, a sedimentary sequence of intercalating leached and unleached clay, and coarse-grained deposits. Hydrological properties of the coarse-grained layer help us understand its role in the leaching process that leads to the formation of quick clays in the area.
Mohammed Ali Garba, Stephanie Vialle, Mahyar Madadi, Boris Gurevich, and Maxim Lebedev
Solid Earth, 10, 1505–1517, https://doi.org/10.5194/se-10-1505-2019, https://doi.org/10.5194/se-10-1505-2019, 2019
Mehdi Asgharzadeh, Ashley Grant, Andrej Bona, and Milovan Urosevic
Solid Earth, 10, 1015–1023, https://doi.org/10.5194/se-10-1015-2019, https://doi.org/10.5194/se-10-1015-2019, 2019
Short summary
Short summary
Data acquisition costs mainly borne by expensive vibrator machines (i.e., deployment, operations, and maintenance) can be regarded as the main impediment to wide application of seismic methods in the mining industry. Here, we show that drill bit noise can be used to image the shallow subsurface when it is optimally acquired and processed. Drill bit imaging methods have many applications in small scale near-surface projects, such as those in mining exploration and geotechnical investigation.
Yaniv Darvasi and Amotz Agnon
Solid Earth, 10, 379–390, https://doi.org/10.5194/se-10-379-2019, https://doi.org/10.5194/se-10-379-2019, 2019
Ulrich Polom, Hussam Alrshdan, Djamil Al-Halbouni, Eoghan P. Holohan, Torsten Dahm, Ali Sawarieh, Mohamad Y. Atallah, and Charlotte M. Krawczyk
Solid Earth, 9, 1079–1098, https://doi.org/10.5194/se-9-1079-2018, https://doi.org/10.5194/se-9-1079-2018, 2018
Short summary
Short summary
The alluvial fan of Ghor Al-Haditha (Dead Sea) is affected by subsidence and sinkholes. Different models and hypothetical processes have been suggested in the past; high-resolution shear wave reflection surveys carried out in 2013 and 2014 showed the absence of evidence for a massive shallow salt layer as formerly suggested. Thus, a new process interpretation is proposed based on both the dissolution and physical erosion of Dead Sea mud layers.
Cited articles
Anderson, E., Bai, Z., Bischof, C., Blackford, S., Demmel, J., Dongarra, J., Du Croz, J., Greenbaum, A., Hammarling, S., McKenney, A., and Sorensen, D.: {LAPACK} Users' Guide, 3rd Edn., Society for Industrial and Applied Mathematics, Philadelphia, PA., https://www.netlib.org/lapack/lug/ (last access: 24 September 2023), 1999.
Barnes, G. J., Lumley, J. M., Houghton, P. I., and Gleave, R. J.: Comparing gravity and gravity gradient surveys, Geophys. Prospect., 59, 176–187, https://doi.org/10.1111/j.1365-2478.2010.00900.x, 2011.
Calcagno, P., Chilès, J. P., Courrioux, G., and Guillen, A.: Geological modelling from field data and geological knowledge. Part I. Modelling method coupling 3D potential-field interpolation and geological rules, Phys. Earth Planet. Inter., 171, 147–157, https://doi.org/10.1016/j.pepi.2008.06.013, 2008.
Caumon, G., Lepage, F., Sword, C. H., and Mallet, J.-L.: Building and Editing a Sealed Geological Model, Math. Geol., 36, 405–424, https://doi.org/10.1023/B:MATG.0000029297.18098.8a, 2004.
Clausolles, N., Collon, P., Irakarama, M., and Caumon, G.: Stochastic velocity modeling for assessment of imaging uncertainty during seismic migration: application to salt bodies, Interpretation, 11, T361–T378, 1–67, https://doi.org/10.1190/int-2022-0071.1, 2023.
Collon, P., Pichat, A., Kergaravat, C., Botella, A., Caumon, G., Ringenbach, J.-C., and Callot, J.-P.: 3D modeling from outcrop data in a salt tectonic context: Example from the Inceyol minibasin, Sivas Basin, Turkey, Interpretation, 4, SM17–SM31, https://doi.org/10.1190/INT-2015-0178.1, 2016.
Cowan, J. and Beatson, R.: Rapid Geological Modelling, Australian Institute of Geoscientists Bulletin 36, Australian Institute of Geoscientists, Kalgoorlie, https://www.aig.org.au/publication-shop/digital-aig-bulletin-no-36-applied-structural-geology-for-mineral-exploration-and-mining/ (last access: 24 June 2023), 2002.
Dahlke, T., Biondi, B., and Clapp, R.: Applied 3D salt body reconstruction using shape optimization with level sets, Geophysics, 85, R437–R446, https://doi.org/10.1190/geo2019-0352.1, 2020.
Deal, M. M. and Nolet, G.: Nullspace shuttles, Geophys. J. Int., 124, 372–380, https://doi.org/10.1111/j.1365-246X.1996.tb07027.x, 1996.
De La Varga, M., Schaaf, A., and Wellmann, F.: GemPy 1.0: Open-source stochastic geological modeling and inversion, Geosci. Model Dev., 12, 1–32, https://doi.org/10.5194/gmd-12-1-2019, 2019.
Egenhofer, M. J.: A formal definition of binary topological relationships, in: Foundations of Data Organization and Algorithms, edited by: Litwin, W. and Schek, H. J., Lecture Notes in Computer Science, Vol. 367, Springer, Berlin, Heidelberg, https://doi.org/10.1007/3-540-51295-0_148, 1989.
Farquharson, C. G. and Oldenburg, D. W.: A comparison of automatic techniques for estimating the regularization parameter in non-linear inverse problems, Geophys. J. Int., 156, 411–425, https://doi.org/10.1111/j.1365-246X.2004.02190.x, 2004.
Fichtner, A. and Zunino, A.: Hamiltonian Nullspace Shuttles, Geophys. Res. Lett., 46, 644–651, https://doi.org/10.1029/2018GL080931, 2019.
Fouedjio, F., Scheidt, C., Yang, L., Achtziger-Zupančič, P., and Caers, J.: A geostatistical implicit modeling framework for uncertainty quantification of 3D geo-domain boundaries: Application to lithological domains from a porphyry copper deposit, Comput. Geosci., 157, 104931, https://doi.org/10.1016/j.cageo.2021.104931, 2021.
Frank, T., Tertois, A.-L., and Mallet, J.-L.: 3D-reconstruction of complex geological interfaces from irregularly distributed and noisy point data, Comput. Geosci., 33, 932–943, https://doi.org/10.1016/j.cageo.2006.11.014, 2007.
Galley, C. G., Lelièvre, P. G., and Farquharson, C. G.: Geophysical inversion for 3D contact surface geometry, Geophysics, 85, K27–K45, https://doi.org/10.1190/geo2019-0614.1, 2020.
Galley, C., Lelièvre, P., Haroon, A., Graber, S., Jamieson, J., Szitkar, F., Yeo, I., Farquharson, C., Petersen, S., and Evans, R.: Magnetic and Gravity Surface Geometry Inverse Modeling of the TAG Active Mound, J. Geophys. Res.-Sol. Ea., 126, e2021JB022228, https://doi.org/10.1029/2021JB022228, 2021.
Giraud, J.: Synthetic tests: unconstrained multiple level set inversions with errors in the starting model and noise in the data, Zenodo [data set], https://doi.org/10.5281/zenodo.7919381, 2023.
Giraud, J. and Caumon, G.: Evolution of model and geological inconsistencies during inversion, Zenodo [data set], https://doi.org/10.5281/zenodo.7920886, 2023.
Giraud, J., Ogarko, V., Lindsay, M., Pakyuz-Charrier, E., Jessell, M., and Martin, R.: Sensitivity of constrained joint inversions to geological and petrophysical input data uncertainties with posterior geological analysis, Geophys. J. Int., 218, 666–688, https://doi.org/10.1093/gji/ggz152, 2019.
Giraud, J., Lindsay, M., and Jessell, M.: Generalization of level-set inversion to an arbitrary number of geologic units in a regularized least-squares framework, Geophysics, 86, R623–R637, https://doi.org/10.1190/geo2020-0263.1, 2021a.
Giraud, J., Ogarko, V., Martin, R., Jessell, M., and Lindsay, M.: Structural, petrophysical, and geological constraints in potential field inversion using the Tomofast-x v1.0 open-source code, Geosci. Model Dev., 14, 6681–6709, https://doi.org/10.5194/gmd-14-6681-2021, 2021b.
Giraud, J., Caumon, G., Grose, L., and Cupillard, P.: Geometrical Inversion Coupled with Automated Geological Modelling, in: 83rd EAGE Annual Conference & Exhibition, European Association of Geoscientists & Engineers, 1–5, https://doi.org/10.3997/2214-4609.202210522, 2022.
Giraud, J., Caumon, G., and Grose, L.: Synthetic datasets used for numerical testing of geology-geophyiscs integration, Zenodo [data set], https://doi.org/10.5281/zenodo.7544954, 2023.
Gjoystdal, H., Reinhardsen, J. E., and Astebol, K.: Computer Representation Of Complex 3-D Geological Structures Using A New “Solid Modeling” Technique, Geophys. Prospect., 33, 1195–1211, https://doi.org/10.1111/j.1365-2478.1985.tb01359.x, 1985.
Godsil, C. and Royle, G.: Algebraic Graph Theory, 1–18, http://link.springer.com/10.1007/978-1-4613-0163-9_1 (last access: 24 September 2023), 2001.
Grana, D., Pirrone, M., and Mukerji, T.: Quantitative log interpretation and uncertainty propagation of petrophysical properties and facies classification from rock-physics modeling and formation evaluation analysis, Geophysics, 77, WA45–WA63, https://doi.org/10.1190/geo2011-0272.1, 2012.
Grose, L., Ailleres, L., Laurent, G., and Jessell, M. W.: LoopStructural (v1.5.5), Zenodo [code], https://doi.org/10.5281/zenodo.7542828, 2020.
Grose, L., Ailleres, L., Laurent, G., and Jessell, M.: LoopStructural 1.0: time-aware geological modelling, Geosci. Model Dev., 14, 3915–3937, https://doi.org/10.5194/gmd-14-3915-2021, 2021.
Güdük, N., de la Varga, M., Kaukolinna, J., and Wellmann, F.: Model-Based Probabilistic Inversion Using Magnetic Data: A Case Study on the Kevitsa Deposit, Geosciences, 11, 150, https://doi.org/10.3390/geosciences11040150, 2021.
Guillen, A., Calcagno, P., Courrioux, G., Joly, A., and Ledru, P.: Geological modelling from field data and geological knowledge. Part II. Modelling validation using gravity and magnetic data inversion, Phys. Earth Planet. Inter., 171, 158–169, https://doi.org/10.1016/j.pepi.2008.06.014, 2008.
Guo, J., Li, Y., Jessell, M. W., Giraud, J., Li, C., Wu, L., Li, F., and Liu, S.: 3D geological structure inversion from Noddy-generated magnetic data using deep learning methods, Comput. Geosci., 149, 104701, https://doi.org/10.1016/j.cageo.2021.104701, 2021.
Hansen, P. C. and Johnston, P. R.: The L-Curve and its Use in the Numerical Treatment of Inverse Problems, in: Computational Inverse Problems in Electrocardiography, 119–142, https://www.sintef.no/globalassets/project/evitameeting/2005/lcurve.pdf (last access: 24 September 2023), 2001.
Hansen, P. C. and O'Leary, D. P.: The Use of the L-Curve in the Regularization of Discrete Ill-Posed Problems, SIAM J. Sci. Comput., 14, 1487–1503, https://doi.org/10.1137/0914086, 1993.
Henrion, V., Caumon, G., and Cherpeau, N.: ODSIM: An Object-Distance Simulation Method for Conditioning Complex Natural Structures, Math. Geosci., 42, 911–924, https://doi.org/10.1007/s11004-010-9299-0, 2010.
Hoerl, A. E. and Kennard, R. W.: Ridge Regression: Application to nonorthogonal problems, Technometrics, 12, 69–82, https://doi.org/10.1080/00401706.1970.10488634, 1970.
Irakarama, M., Laurent, G., Renaudeau, J., and Caumon, G.: Finite Difference Implicit Structural Modeling of Geological Structures, Math. Geosci., 53, 785–808, https://doi.org/10.1007/s11004-020-09887-w, 2021.
Irakarama, M., Thierry-Coudon, M., Zakari, M., and Caumon, G.: Finite Element Implicit 3D Subsurface Structural Modeling, CAD Comput. Aided Des., 149, 103267, https://doi.org/10.1016/j.cad.2022.103267, 2022.
Jaccard, P.: Étude comparative de la distribution florale dans une portion des Alpes et du Jura, Bull. la Société Vaudoise des Sci. Nat., 37, 547–579, https://doi.org/10.5169/seals-266450, 1901.
Jayr, S., Gringarten, E., Tertois, A. L., Mallet, J. L., and Dulac, J. C.: The need for a correct geological modelling support: the advent of the UVT-transform, First Break, 26, 73–79, https://doi.org/10.3997/1365-2397.26.10.28558, 2008.
Jessell, M., Guo, J., Li, Y., Lindsay, M., Scalzo, R., Giraud, J., Pirot, G., Cripps, E., and Ogarko, V.: Into the Noddyverse: A massive data store of 3D geological models for machine learning and inversion applications, Earth Syst. Sci. Data, 14, 381–392, https://doi.org/10.5194/essd-14-381-2022, 2022.
Lelièvre, P. G. and Farquharson, C. G.: Integrated Imaging for Mineral Exploration, in: Integrated Imaging of the Earth: Theory and Applications, 137–166, https://agupubs.onlinelibrary.wiley.com/doi/10.1002/9781118929063.ch8 (last access: 24 September 2023), 2016.
Li, W., Lu, W., and Qian, J.: A level-set method for imaging salt structures using gravity data, Geophysics, 81, G27–G40, https://doi.org/10.1190/geo2015-0295.1, 2016.
Li, W., Lu, W., Qian, J., and Li, Y.: A multiple level-set method for 3D inversion of magnetic data, Geophysics, 82, J61–J81, https://doi.org/10.1190/geo2016-0530.1, 2017.
Li, W., Qian, J., and Li, Y.: Joint inversion of surface and borehole magnetic data: A level-set approach, Geophysics, 85, J15–J32, https://doi.org/10.1190/geo2019-0139.1, 2020.
Li, Y. and Oldenburg, D. W.: 3-D inversion of magnetic data, Geophysics, 61, 394–408, https://doi.org/10.1190/1.1443968, 1996.
Liang, Z., Wellmann, F., and Ghattas, O.: Uncertainty quantification of geologic model parameters in 3D gravity inversion by Hessian-informed Markov chain Monte Carlo, Geophysics, 88, G1–G18, https://doi.org/10.1190/geo2021-0728.1, 2023.
Moorkamp, M.: Integrating Electromagnetic Data with Other Geophysical Observations for Enhanced Imaging of the Earth: A Tutorial and Review, Surv. Geophys., 38, 935–962, https://doi.org/10.1007/s10712-017-9413-7, 2017.
Muñoz, G. and Rath, V.: Beyond smooth inversion: the use of nullspace projection for the exploration of non-uniqueness in MT, Geophys. J. Int., 164, 301–311, https://doi.org/10.1111/j.1365-246X.2005.02825.x, 2006.
Ogarko, V., Giraud, J., Martin, R., and Jessell, M.: Disjoint interval bound constraints using the alternating direction method of multipliers for geologically constrained inversion: Application to gravity data, Geophysics, 86, G1–G11, https://doi.org/10.1190/geo2019-0633.1, 2021.
Osher, S. and Fedkiw, R.: Level Set Methods and Dynamic Implicit Surfaces, edited by: Antman, S. S., Marsden, J. E., and Sirovitch, L., Springer, New York, NY, ISBN 0-387-95482-1, 2003.
Pakyuz-Charrier, E., Jessell, M., Giraud, J., Lindsay, M., and Ogarko, V.: Topological analysis in Monte Carlo simulation for uncertainty propagation, Solid Earth, 10, 1663–1684, https://doi.org/10.5194/se-10-1663-2019, 2019.
Pellerin, J., Caumon, G., Julio, C., Mejia-Herrera, P., and Botella, A.: Elements for measuring the complexity of 3D structural models: Connectivity and geometry, Comput. Geosci., 76, 130–140, https://doi.org/10.1016/j.cageo.2015.01.002, 2015.
Phelps, G.: Forward modeling of gravity data using geostatistically generated subsurface density variations, Geophysics, 81, G81–G94, https://doi.org/10.1190/geo2015-0663.1, 2016.
Rashidifard, M., Giraud, J., Lindsay, M., Jessell, M., and Ogarko, V.: Constraining 3D geometric gravity inversion with a 2D reflection seismic profile using a generalized level set approach: application to the eastern Yilgarn Craton, Solid Earth, 12, 2387–2406, https://doi.org/10.5194/se-12-2387-2021, 2021.
Renaudeau, J., Malvesin, E., Maerten, F., and Caumon, G.: Implicit Structural Modeling by Minimization of the Bending Energy with Moving Least Squares Functions, Math. Geosci., 51, 693–724, https://doi.org/10.1007/s11004-019-09789-6, 2019.
Scalzo, R., Lindsay, M., Jessell, M., Pirot, G., Giraud, J., Cripps, E., and Cripps, S.: Blockworlds 0.1.0: a demonstration of anti-aliased geophysics for probabilistic inversions of implicit and kinematic geological models, Geosci. Model Dev., 15, 3641–3662, https://doi.org/10.5194/gmd-15-3641-2022, 2022.
Sethian, J. A.: A fast marching level set method for monotonically advancing fronts, P. Natl. Acad. Sci. USA, 93, 1591–1595, https://doi.org/10.1073/pnas.93.4.1591, 1996.
Souche, L., Lepage, F., Laverne, T., and Buchholz, C.: Depositional Space: Construction and Applications to Facies and Petrophysical Property Simulations, in Day 2 Mon, December 07, 2015, IPTC, https://doi.org/10.2523/IPTC-18339-MS, 2015.
Sprague, K. B. and de Kemp, E. A.: Interpretive Tools for 3-D Structural Geological Modelling Part II: Surface Design from Sparse Spatial Data, Geoinformatica, 9, 5–32, https://doi.org/10.1007/s10707-004-5620-8, 2005.
Suzuki, S., Caumon, G., and Caers, J.: Dynamic data integration for structural modeling: model screening approach using a distance-based model parameterization, Comput. Geosci., 12, 105–119, https://doi.org/10.1007/s10596-007-9063-9, 2008.
Szymkiewicz, D.: Une conlribution statistique à la géographie floristique, Acta Soc. Bot. Pol., 11, 249–265, https://doi.org/10.5586/asbp.1934.012, 2017.
Tarantola, A.: Inverse Problem Theory and Methods for Model Parameter Estimation, Society for Industrial and Applied Mathematics, https://epubs.siam.org/doi/book/10.1137/1.9780898717921 (last access: 26 September 2023), 2005.
Thiele, S. T., Jessell, M. W., Lindsay, M., Ogarko, V., Wellmann, J. F., and Pakyuz-Charrier, E.: The topology of geology 1: Topological analysis, J. Struct. Geol., 91, 27–38, https://doi.org/10.1016/j.jsg.2016.08.009, 2016.
Wei, X. and Sun, J.: 3D probabilistic geology differentiation based on airborne geophysics, mixed Lpnorm joint inversion and physical property measurements, Geophysics, 87, K19–K33, https://doi.org/10.1190/geo2021-0833.1, 2022.
Wellmann, F. and Caumon, G.: 3-D Structural geological models: Concepts, methods, and uncertainties, in: Advances in Geophysics, edited by: Schmelzbach, C., Cambridge, Massachusetts, 1–121, ISBN 9780128152089, 2018.
Wellmann, J. F., de la Varga, M., Murdie, R. E., Gessner, K., and Jessell, M.: Uncertainty estimation for a geological model of the Sandstone greenstone belt, Western Australia – insights from integrated geological and geophysical inversion in a Bayesian inference framework, Geol. Soc. Lond. Spec. Publ., 453, SP453.12, https://doi.org/10.1144/SP453.12, 2017.
Yang, L., Hyde, D., Grujic, O., Scheidt, C., and Caers, J.: Assessing and visualizing uncertainty of 3D geological surfaces using level sets with stochastic motion, Comput. Geosci., 122, 54–67, https://doi.org/10.1016/j.cageo.2018.10.006, 2019.
Zheglova, P., Farquharson, C. G., and Hurich, C. A.: 2-D reconstruction of boundaries with level set inversion of traveltimes, Geophys. J. Int., 192, 688–698, https://doi.org/10.1093/gji/ggs035, 2013.
Zheglova, P., Lelièvre, P. G., and Farquharson, C. G.: Multiple level-set joint inversion of traveltime and gravity data with application to ore delineation: A synthetic study, Geophysics, 83, R13–R30, https://doi.org/10.1190/geo2016-0675.1, 2018.
Short summary
We present and test an algorithm that integrates geological modelling into deterministic geophysical inversion. This is motivated by the need to model the Earth using all available data and to reconcile the different types of measurements. We introduce the methodology and test our algorithm using two idealised scenarios. Results suggest that the method we propose is effectively capable of improving the models recovered by geophysical inversion and may be applied in real-world scenarios.
We present and test an algorithm that integrates geological modelling into deterministic...