2021
DOI: 10.1002/nme.6671
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A blended transient/quasistatic Lagrangian framework for salt tectonics simulations with stabilized tetrahedral finite elements

Abstract: We propose a Lagrangian solid mechanics framework for the simulation of salt tectonics and other large‐deformation geomechanics problems at the basin scale. Our approach relies on general elastic‐viscoplastic constitutive models to characterize the deformation of geologic strata, in contrast with the majority of published works on the subject, which utilize nonlinear Stokes flow models. By means of multiscale asymptotics, we also show that the inertia term in the momentum balance equation can be safely neglect… Show more

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Cited by 2 publications
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“…For example, numerical methods based on the continuum assumption such as the Finite Element Method (FEM) (Bird, 1978; Borja & Dreiss, 1989), Finite Difference (FD) schemes (Gerya & Yuen, 2007; Weiss et al., 2018), or Boundary Element Methods (Del Castello & Cooke, 2007; Madden et al., 2017; McBeck, Cooke, & Renard, 2020; McBeck et al., 2016) permit the easy characterization of strain and stress maps within the accretionary wedge model. The ability of arbitrary Eulerian‐Lagrangian (Fullsack, 1995; Ruh et al., 2012; Simpson, 2011), or pure Lagrangian (Crook et al., 2006; Perić et al., 1999; Scovazzi et al., 2021) FEM implementations to handle large deformations adds to the widespread usage of FEM. Nevertheless, continuum models have a series of disadvantages, most notably that constitutive relations linking stress to strain must be pre‐defined.…”
Section: Previous Workmentioning
confidence: 99%
“…For example, numerical methods based on the continuum assumption such as the Finite Element Method (FEM) (Bird, 1978; Borja & Dreiss, 1989), Finite Difference (FD) schemes (Gerya & Yuen, 2007; Weiss et al., 2018), or Boundary Element Methods (Del Castello & Cooke, 2007; Madden et al., 2017; McBeck, Cooke, & Renard, 2020; McBeck et al., 2016) permit the easy characterization of strain and stress maps within the accretionary wedge model. The ability of arbitrary Eulerian‐Lagrangian (Fullsack, 1995; Ruh et al., 2012; Simpson, 2011), or pure Lagrangian (Crook et al., 2006; Perić et al., 1999; Scovazzi et al., 2021) FEM implementations to handle large deformations adds to the widespread usage of FEM. Nevertheless, continuum models have a series of disadvantages, most notably that constitutive relations linking stress to strain must be pre‐defined.…”
Section: Previous Workmentioning
confidence: 99%