Articles | Volume 11, issue 5
https://doi.org/10.5194/se-11-1909-2020
© Author(s) 2020. 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-11-1909-2020
© Author(s) 2020. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Towards the application of Stokes flow equations to structural restoration simulations
Melchior Schuh-Senlis
CORRESPONDING AUTHOR
Université de Lorraine, CNRS, GeoRessources, 54000 Nancy, France
Cedric Thieulot
Department of Earth Sciences, Faculty of Geosciences, Utrecht University, Utrecht, the Netherlands
Paul Cupillard
Université de Lorraine, CNRS, GeoRessources, 54000 Nancy, France
Guillaume Caumon
Université de Lorraine, CNRS, GeoRessources, 54000 Nancy, France
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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
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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.
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
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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.
Erik van der Wiel, Cedric Thieulot, and Douwe J. J. van Hinsbergen
Solid Earth, 15, 861–875, https://doi.org/10.5194/se-15-861-2024, https://doi.org/10.5194/se-15-861-2024, 2024
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Geodynamic models of mantle convection provide a powerful tool to study the structure and composition of the Earth's mantle. Comparing such models with other datasets is difficult. We explore the use of
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Cedric Thieulot and Wolfgang Bangerth
EGUsphere, https://doi.org/10.5194/egusphere-2024-1668, https://doi.org/10.5194/egusphere-2024-1668, 2024
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One of the main numerical methods in geodynamics is the finite-element method. Many types of elements have been used in the past decades in hundreds of publications. They usually fall under two categories: quadrilaterals and triangles. For the first time we compare results obtained with the most used elements of each type on a series of geodynamical benchmarks and draw conclusions as to which are the best ones and which are to be preferably avoided.
Rene Gassmöller, Juliane Dannberg, Wolfgang Bangerth, Elbridge Gerry Puckett, and Cedric Thieulot
Geosci. Model Dev., 17, 4115–4134, https://doi.org/10.5194/gmd-17-4115-2024, https://doi.org/10.5194/gmd-17-4115-2024, 2024
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Numerical models that use simulated particles are a powerful tool for investigating flow in the interior of the Earth, but the accuracy of these models is not fully understood. Here we present two new benchmarks that allow measurement of model accuracy. We then document that better accuracy matters for applications like convection beneath an oceanic plate. Our benchmarks and methods are freely available to help the community develop better models.
Jérémie Giraud, Guillaume Caumon, Lachlan Grose, Vitaliy Ogarko, and Paul Cupillard
Solid Earth, 15, 63–89, https://doi.org/10.5194/se-15-63-2024, https://doi.org/10.5194/se-15-63-2024, 2024
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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.
Iris van Zelst, Cedric Thieulot, and Timothy J. Craig
Solid Earth, 14, 683–707, https://doi.org/10.5194/se-14-683-2023, https://doi.org/10.5194/se-14-683-2023, 2023
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A common simplification in subduction zone models is the use of constant thermal parameters, while experiments have shown that they vary with temperature. We test various formulations of temperature-dependent thermal parameters and show that they change the thermal structure of the subducting slab. We recommend that modelling studies of the thermal structure of subduction zones take the temperature dependence of thermal parameters into account, especially when providing insights into seismicity.
Barend Cornelis Root, Josef Sebera, Wolfgang Szwillus, Cedric Thieulot, Zdeněk Martinec, and Javier Fullea
Solid Earth, 13, 849–873, https://doi.org/10.5194/se-13-849-2022, https://doi.org/10.5194/se-13-849-2022, 2022
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Several alternative gravity modelling techniques and associated numerical codes with their own advantages and limitations are available for the solid Earth community. With upcoming state-of-the-art lithosphere density models and accurate global gravity field data sets, it is vital to understand the differences of the various approaches. In this paper, we discuss the four widely used techniques: spherical harmonics, tesseroid integration, triangle integration, and hexahedral integration.
Iris van Zelst, Fabio Crameri, Adina E. Pusok, Anne Glerum, Juliane Dannberg, and Cedric Thieulot
Solid Earth, 13, 583–637, https://doi.org/10.5194/se-13-583-2022, https://doi.org/10.5194/se-13-583-2022, 2022
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Geodynamic modelling provides a powerful tool to investigate processes in the Earth’s crust, mantle, and core that are not directly observable. In this review, we present a comprehensive yet concise overview of the modelling process with an emphasis on best practices. We also highlight synergies with related fields, such as seismology and geology. Hence, this review is the perfect starting point for anyone wishing to (re)gain a solid understanding of geodynamic modelling as a whole.
Cedric Thieulot and Wolfgang Bangerth
Solid Earth, 13, 229–249, https://doi.org/10.5194/se-13-229-2022, https://doi.org/10.5194/se-13-229-2022, 2022
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One of the main numerical methods to solve the mass, momentum, and energy conservation equations in geodynamics is the finite-element method. Four main types of elements have been used in the past decades in hundreds of publications. For the first time we compare results obtained with these four elements on a series of geodynamical benchmarks and applications and draw conclusions as to which are the best ones and which are to be preferably avoided.
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Cedric Thieulot
Solid Earth, 9, 1169–1177, https://doi.org/10.5194/se-9-1169-2018, https://doi.org/10.5194/se-9-1169-2018, 2018
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I present the GHOST (Geoscientific Hollow Sphere Tessellation) software which allows for the fast generation of computational meshes in hollow sphere geometries counting up to a hundred million cells. Each mesh is composed of concentric spherical shells made of quadrilaterals or triangles. I focus here on three commonly used meshes used in the geodynamics/geophysics community and further benchmark the gravity and gravitational potential procedures in the simple case of a constant density.
Alexis Plunder, Cédric Thieulot, and Douwe J. J. van Hinsbergen
Solid Earth, 9, 759–776, https://doi.org/10.5194/se-9-759-2018, https://doi.org/10.5194/se-9-759-2018, 2018
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The thermal state of the Earth's crust determines how it reacts to tectonic forces and to fluid flow responsible for ore formation. We hypothesize that the angle between plate motion and convergent boundaries determines the thermal regime of subduction zones (where a plate goes under another one). Computer models and a geological reconstruction of Turkey were used to validate this hypothesis.
This research was done to validate a hypothesis made on the basis of nonquantitative field data.
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A nonlinear viscoplastic rheology is implemented and benchmarked in the ASPECT software, allowing for the modeling of lithospheric deformation. We showcase the new functionality with a four-dimensional model of thermomechanically coupled subduction.
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I present a new family of analytical flow solutions to the incompressible Stokes equation in a spherical shell. The velocity is tangential to both inner and outer boundaries, the viscosity is radial, and the solution has been designed so that the expressions for velocity, pressure, and body force are simple to implement in (geodynamics) codes. This forms the basis of a numerical benchmark for convection codes, and I have implemented it in two finite-element codes.
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Solid Earth, 5, 1087–1098, https://doi.org/10.5194/se-5-1087-2014, https://doi.org/10.5194/se-5-1087-2014, 2014
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Our paper demonstrates that the level set method is a viable method for material tracking in multi-material flow models. The different benchmarks illustate several advantages that the level set method provides over tracer-based methods. We therefore conclude that the level set method is well suited for geodynamical modeling.
C. Thieulot
Solid Earth Discuss., https://doi.org/10.5194/sed-6-1949-2014, https://doi.org/10.5194/sed-6-1949-2014, 2014
Revised manuscript has not been submitted
Related subject area
Subject area: The evolving Earth surface | Editorial team: Rock deformation, geomorphology, morphotectonics, and paleoseismology | Discipline: Structural geology
Application of anisotropy of magnetic susceptibility (AMS) fabrics to determine the kinematics of active tectonics: examples from the Betic Cordillera, Spain, and the Northern Apennines, Italy
Fault-controlled fluid circulation and diagenesis along basin-bounding fault systems in rifts – insights from the East Greenland rift system
Data acquisition by digitizing 2-D fracture networks and topographic lineaments in geographic information systems: further development and applications
Regional-scale paleofluid system across the Tuscan Nappe–Umbria–Marche Apennine Ridge (northern Apennines) as revealed by mesostructural and isotopic analyses of stylolite–vein networks
Stress field orientation controls on fault leakage at a natural CO2 reservoir
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Uncertainty in fault seal parameters: implications for CO2 column height retention and storage capacity in geological CO2 storage projects
The role of mechanical stratigraphy on the refraction of strike-slip faults
Influence of basement heterogeneity on the architecture of low subsidence rate Paleozoic intracratonic basins (Reggane, Ahnet, Mouydir and Illizi basins, Hoggar Massif)
David J. Anastasio, Frank J. Pazzaglia, Josep M. Parés, Kenneth P. Kodama, Claudio Berti, James A. Fisher, Alessandro Montanari, and Lorraine K. Carnes
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The anisotropy of magnetic susceptibility (AMS) technique provides an effective way to interpret deforming mountain belts. In both the Betics, Spain, and Apennines, Italy, weak but well-organized AMS fabrics were recovered from young unconsolidated and unburied rocks that could not be analyzed with more traditional methods. Collectively, these studies demonstrate the novel ways that AMS can be combined with other data to resolve earthquake hazards in space and time.
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Nicolas E. Beaudoin, Aurélie Labeur, Olivier Lacombe, Daniel Koehn, Andrea Billi, Guilhem Hoareau, Adrian Boyce, Cédric M. John, Marta Marchegiano, Nick M. Roberts, Ian L. Millar, Fanny Claverie, Christophe Pecheyran, and Jean-Paul Callot
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Johannes M. Miocic, Gareth Johnson, and Stuart M. V. Gilfillan
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At the St. Johns Dome, Arizona, CO2 naturally occurs in the subsurface, but there are travertine rocks on the surface which are an expression of CO2 leakage to the surface. These travertine deposits occur along faults, zones where the rock layers are fractured and displaced. In our research, we use geomechanical analysis to show that the CO2 leakage occurs at points where the faults are likely to be permeable due to the orientation of the geological stress field in the subsurface.
Irène Aubert, Philippe Léonide, Juliette Lamarche, and Roland Salardon
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In carbonate rocks, fault zones influence the fluid flows and lead to important diagenetic processes modifying reservoir properties. The aim of this study is to identify the impact of two polyphase fault zones on fluid flows and reservoir properties during basin history. We determined petro-physic and diagenetic properties on 92 samples. This study highlights that fault zones acted as drains at their onset and induced fault zone cementation, which has strongly altered local reservoir properties.
Johannes M. Miocic, Gareth Johnson, and Clare E. Bond
Solid Earth, 10, 951–967, https://doi.org/10.5194/se-10-951-2019, https://doi.org/10.5194/se-10-951-2019, 2019
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When carbon dioxide is introduced into the subsurface it will migrate upwards and can encounter faults, which, depending on their hydrogeological properties and composition, can form barriers or pathways for the migrating fluid. We analyse uncertainties associated with these properties in order to better understand the implications for the retention of CO2 in the subsurface. We show that faults that form seals for other fluids may not be seals for CO2, which has implications for storage sites.
Mirko Carlini, Giulio Viola, Jussi Mattila, and Luca Castellucci
Solid Earth, 10, 343–356, https://doi.org/10.5194/se-10-343-2019, https://doi.org/10.5194/se-10-343-2019, 2019
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Physical properties of layered sedimentary rocks affect nucleation and propagation of discontinuities therein. Fractures developing through sedimentary sequences characterized by the alternation of strong and weak layers are strongly deviated along their track at layers’ boundaries, and depending on the layer they cross-cut, they show very thick (strong layers) or very thin (weak layers) infills of precipitated minerals, potentially representing pathways for ore deposits and oil/water resources.
Paul Perron, Michel Guiraud, Emmanuelle Vennin, Isabelle Moretti, Éric Portier, Laetitia Le Pourhiet, and Moussa Konaté
Solid Earth, 9, 1239–1275, https://doi.org/10.5194/se-9-1239-2018, https://doi.org/10.5194/se-9-1239-2018, 2018
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In this paper we present an original multidisciplinary workflow involving various tools (e.g., seismic profiles, satellite images, well logs) and techniques (e.g., photogeology, seismic interpretation, well correlation, geophysics, geochronology, backstripping) as a basis for discussing the potential factors controlling the tectono-stratigraphic architecture within the Palaeozoic intracratonic basins of the Saharan Platform using the Reggane, Ahnet, Mouydir and Illizi basins as examples.
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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.
This paper presents a numerical method for restoring models of the subsurface to a previous...