Integrating complementarity into the 2D displacement discontinuity boundary element method to model faults and fractures with frictional contact properties

Ritz, Elizabeth; Mutlu, Ovunc; Pollard, David D.

doi:10.1016/j.cageo.2011.11.017

Cited by 22 publications

(9 citation statements)

References 39 publications

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“…The DDM is a type of boundary element model and is described by Crouch and Starfield [1983]. The addition of a complementarity algorithm is briefly described here, although a more complete formulation and the MATLAB code can be found in work by Ritz et al [2012].…”

Section: The Numerical Sinusoidal Fault Problemmentioning

confidence: 99%

Stick, slip, and opening of wavy frictional faults: A numerical approach in two dimensions

Ritz

Pollard

2012

J. Geophys. Res.

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[1] We use a two-dimensional displacement discontinuity method (DDM) for quasi-static boundary value problems to investigate sinusoidal faults of finite length in an otherwise homogeneous and isotropic elastic material. The DDM incorporates a complementarity algorithm to enforce appropriate contact boundary conditions along the model fault. The numerical solution for the model sinusoidal fault converges to the analytical solution for a straight fault of finite length as the ratio amplitude/wavelength goes to zero. It does not converge to the analytical solution for an infinite sinusoidal interface as the ratio distance/wavelength goes to zero. We provide stick, slip, and opening distributions along wavy faults with a range of uniform coefficients of friction, amplitude/wavelength ratios, and wave numbers. As the number of sinusoidal waves or the amplitude/wavelength is increased, mean slip decreases. Additionally, the fault geometry causes slip to deviate significantly from the elliptical distribution of a planar fault. We demonstrate that the displacement discontinuity of wavy faults cannot be prescribed a priori. This necessitates implementation of the complementarity algorithm and precludes an analytical solution. We employ the terms lee and stoss instead of releasing and restraining bends because a local minimum in slip may occur along lee sides, as well as stoss sides. In some cases, lee sides stick while stoss sides slip. Trends in the slip perturbation can be explained by the angular relationship between the local fault trace and the orientation of the remote principal stresses; however, the displacement discontinuity along a wavy model fault cannot be explained by this relationship alone.Citation: Ritz, E., and D. D. Pollard (2012), Stick, slip, and opening of wavy frictional faults: A numerical approach in two dimensions,

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Section: The Numerical Sinusoidal Fault Problemmentioning

confidence: 99%

Stick, slip, and opening of wavy frictional faults: A numerical approach in two dimensions

Ritz

Pollard

2012

J. Geophys. Res.

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“…Three test-cases are discussed in this section -Circuit Satisfiability problem [15], Seismic Tomography code [16,17], and Poisson Solver [18,19] -to demonstrate the versatility of IPT. The Circuit Satisfiability problem is used to demonstrate the generation of OpenMP + Offload code for the Intel Xeon Phi coprocessors, the Seismic Tomography code is used to demonstrate generation of CUDA code for GPUs, and the Poisson Solver is used to show the generation of MPI code.…”

Section: Test Cases and Resultsmentioning

confidence: 99%

“…Poisson Solver is a representative application from the class of stencil-based computations that is used in the Computational Fluid Dynamics (CFD) and in the earth sciences domains. In earth sciences, Poisson solver is used for modeling and investigating many aspects of the mechanical behavior of faults and fractures in the earth's brittle crust [19]. In this case-study, a solution to a 2D Poisson problem with a five-point stencil is considered.…”

Section: Figure 6 Snippet Of Circuit Satisfiability Code -Serialmentioning

confidence: 99%

A Tool for Interactive Parallelization

Arora¹,

Olaya

Gupta³

2014

Proceedings of the 2014 Annual Conference on Extreme Science and Engineering Discovery Environment

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Tell me, I'll forget, Show me, I may remember, Involve me, I'll understand." -Confucius This proverb describes the essence of our paper and the motivation behind the development of the Interactive Parallelization Tool (IPT) that can transform serial applications into multiple parallel variants. The end-users of IPT must have an understanding of the basic concepts involved in parallel programming (e.g., data distribution and data gathering). After developing an understanding of the basic parallel programming concepts, IPT can be used by its target audience (domain-experts and students) to semi-automatically generate parallel programs using multiple parallel programming paradigms (MPI, OpenMP, and CUDA), and learn about these paradigms through observation and comparison. This IPT-based personalized learning approach complements the traditional methods of learning and training that usually emphasize the syntax and semantics of one or more programming standards. The main benefit of IPT is that it provides a jumpstart to the domain-experts in using modern HPC platforms for their research and development needs, and hence lowers the adoption barriers to HPC.

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“…General procedures and guidelines have already been proposed to build a model made of faults and horizons from typical sparse data, and to describe a typical 3D modeling workflow based on meshes (Tertois and Mallet, 2007;Caumon et al, 2009;Ritz et al, 2012). However, the faulted and fractured nature of the geology increases the complexity in determining the subsurface geologic framework (Wu and Xu, 2003).…”

Section: Introductionmentioning

confidence: 99%

A 3D modeling approach to complex faults with multi-source data

Zou

et al. 2015

Computers & Geosciences

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Integrating complementarity into the 2D displacement discontinuity boundary element method to model faults and fractures with frictional contact properties

Cited by 22 publications

References 39 publications

Stick, slip, and opening of wavy frictional faults: A numerical approach in two dimensions

Stick, slip, and opening of wavy frictional faults: A numerical approach in two dimensions

A Tool for Interactive Parallelization

A 3D modeling approach to complex faults with multi-source data

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