Robust characteristics method for modelling multiphase visco-elasto-plastic thermo-mechanical problems

Gerya, Taras; Yuen, David A.

doi:10.1016/j.pepi.2007.04.015

Cited by 395 publications

(397 citation statements)

References 33 publications

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“…The models are solved using I3ELVIS code; it is based on the numerical solution of mass, momentum and energy conservation equations using finite difference method and marker-in cell techniques combined with a multigrid solver 23,24 . The staggered grid for which equations are solved includes 501 Â 165 Â 101 nodes with 100 million randomly distributed markers.…”

Section: Methodsmentioning

confidence: 99%

Oblique subduction modelling indicates along-trench tectonic transport of sediments

et al. 2013

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Convergent plate margins are currently distinguished as 'accretional' or 'erosional', depending on the tendency to accumulate sediments, or not, at the trench. Accretion and erosion can coexist along the same margin and we have noticed that this mostly occurs where subduction is oblique. Here we show that at oblique subduction zones, sediments that enter the trench are first buried, and later migrate laterally parallel to the trench and at various depths. Lateral migration of sediments continues until they reach a physical barrier where they begin to accumulate. The accretionary wedge size decreases along the trench moving away from the barrier. We therefore suggest that the gradual variation of the accretionary wedge size and sediment amount at the trench along one single subduction zone, as observed in many active plate margins worldwide, can be explained by the lateral tectonic migration of sediments driven by obliquity of subduction as well.

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Section: Methodsmentioning

confidence: 99%

Oblique subduction modelling indicates along-trench tectonic transport of sediments

et al. 2013

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“…Successful application of this discretization in geodynamic problems is presented in Gerya and Yuen (2007). However this approach, despite stability, is restricted to pure Eulerian formulations.…”

Section: Locking and Hourglassmentioning

confidence: 99%

“…(iii) In the third and final stage, we perform consistent remapping of all solution variables onto the updated mesh. Our algorithm is based on the particle-in-cell approach which was initially developed by Harlow and Welsh (1965) and subsequently has been widely used in geodynamic applications (Moresi et al, 2003;Tackley and Xie, 2003;O'Neil et al, 2006;Gerya and Yuen, 2007). We explain each calculation stage in more detail in the following sections.…”

Section: Kinematical Formulation and Solution Schemementioning

confidence: 99%

“…These studies include Christensen and Harder (1991), Weinberg and Schmeling (1992), Bercovici (1993), Poliakov et al (1993), Braun and Sambridge (1994), Bunge and Baumgardner (1995), Fullsack (1995), Trompert and Hansen (1996), Zhong and Gurnis (1996), Schmalholz et al (2001), Babeyko et al (2002), Tackley and Xie (2003), Moresi et al (2003), Sobolev et al (2005), Muhlhaus and Regenauer-Lieb (2005), Petrunin and Sobolev (2006), O'Neil et al (2006), Gerya and Yuen (2007), Braun et al (this issue), and Petrunin and Sobolev (this issue), which have all contributed to the development of geodynamic modeling techniques.…”

Section: Introductionmentioning

confidence: 99%

“…The most suitable 3D codes either still do not include elastic deformation processes (Braun et al, this issue) or, being explicit codes (Petrunin and Sobolev, 2006, this issue), require very small steps for time integration and therefore are not efficient for modeling long-term deformation. The best candidate among existing tools is the 3D version of viscoelasto-plastic code I2ELVIS, which is currently under development (Gerya and Yuen, 2007). We note, however, that this code is based on a purely Eulerian approach and uses fully staggered finite-difference discretization.…”

Section: Introductionmentioning

confidence: 99%

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SLIM3D: A tool for three-dimensional thermomechanical modeling of lithospheric deformation with elasto-visco-plastic rheology

Popov

Sobolev

2008

Physics of the Earth and Planetary Interiors

185

159

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We describe a new technique for three-dimensional lithospheric-scale modeling of solid state deformation including strain localization processes. The new code, SLIM3D, includes a coupled thermo-mechanical treatment of deformation processes and allows for an elasto-visco-plastic rheology with diffusion, dislocation and Peierls creep mechanisms and Mohr-Coulomb plasticity. The code incorporates an Arbitrary Lagrangian Eulerian formulation with free surface and Winkler boundary conditions. SLIM3D is developed and implemented using the C++ objectoriented programming language. We describe aspects of physical models as well as details of the numerical implementation, including the Newton-Raphson solver, the stress update procedure, and the tangent operator. The applicability of the code to lithospheric-scale modeling is demonstrated by a number of benchmark problems that include: (i) the bending of an elastic plate, (ii) the sinking of a rigid cylinder into a viscous fluid, (iii) the initiation of shear bands in the brittle crust, (iv) triaxial compression test, and (v) lithospheric transpressional deformation. Finally, we discuss possible directions of further development.

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Unraveling Megathrust Seismicity

et al. 2013

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The majority of global seismicity originates at subduction zones, either within the converging plates or along the plate interface. In particular, events with Mw ≥ 8.0 usually occur at the subduction megathrust, which is the frictional interface between subducting and overriding plates. Consequently, seismicity at subduction megathrusts is responsible for most of the seismic energy globally released during the last century [Pacheco and Sykes, 1992]. What's more, during the last decade giant megathrust earthquakes occurred at an increased rate with respect to the last century [Ammon et al., 2010], often revealing unexpected characteristics and resulting in catastrophic effects. Determining the controlling factors of these events would have fundamental implications for earthquake and tsunami hazard assessment.

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Robust characteristics method for modelling multiphase visco-elasto-plastic thermo-mechanical problems

Cited by 395 publications

References 33 publications

Oblique subduction modelling indicates along-trench tectonic transport of sediments

Oblique subduction modelling indicates along-trench tectonic transport of sediments

SLIM3D: A tool for three-dimensional thermomechanical modeling of lithospheric deformation with elasto-visco-plastic rheology

Unraveling Megathrust Seismicity

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