Title: A hybrid finite element-spectral boundary integral approach: Applications to dynamic rupture modeling in unbounded domains

Journal Article · · International Journal for Numerical and Analytical Methods in Geomechanics
DOI: https://doi.org/10.1002/nag.2865 · OSTI ID:1566410
ORCiD logo [1];  [1];  [2];  [2];  [1]
  1. Univ. of Illinois at Urbana‐Champaign, Champaign, IL (United States). Dept. of Civil and Environmental Engineering
  2. Cornell Univ., Ithaca, NY (United States). School of Civil and Environmental Engineering

The finite element method (FEM) and the spectral boundary integral method (SBI) have both been widely used in the study of dynamic rupture simulations along a weak interface. Here, we present a hybrid method that combines FEM and SBI through the consistent exchange of displacement and traction boundary conditions, thereby benefiting from the flexibility of FEM in handling problems with nonlinearities or small-scale heterogeneities and from the superior performance and accuracy of SBI. We validate the hybrid method using a benchmark problem from the Southern California Earthquake Center's dynamic rupture simulation validation exercises.We further demonstrate the capability and computational efficiency of the hybrid scheme for resolving off-fault heterogeneities by studying a 2D in-plane shear crack in two different settings: one where the crack is embedded in a high-velocity zone and another where it is embedded in a low-velocity zone. Finally, we discuss the potential of the hybrid method for addressing a wide range of problems in geophysics and engineering.

Research Organization:
Energy Frontier Research Centers (EFRC), Washington D.C. (United States). Center for Geologic Storage of CO2 (GSCO2); Univ. of Illinois at Urbana-Champaign, IL (United States)
Sponsoring Organization:
USDOE; USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI ID:
1566410
Journal Information:
International Journal for Numerical and Analytical Methods in Geomechanics, Journal Name: International Journal for Numerical and Analytical Methods in Geomechanics Journal Issue: 1 Vol. 43; ISSN 0363-9061
Publisher:
WileyCopyright Statement
Country of Publication:
United States
Language:
English

References (45)

Earthquake ruptures modulated by waves in damaged fault zones journal April 2014
Stress drop estimates of potentially induced earthquakes in the Guy-Greenbrier sequence: STRESS DROPS OF INDUCED EARTHQUAKES journal September 2016
Off-fault heterogeneities promote supershear transition of dynamic mode II cracks: OFF-FAULT HETEROGENEITY SUPERSHEAR journal August 2017
Extended finite element framework for fault rupture dynamics including bulk plasticity: EXTENDED FE FRAMEWORK FOR FAULT RUPTURE DYNAMICS journal March 2013
An extended finite element framework for slow-rate frictional faulting with bulk plasticity and variable friction
  • Liu, Fushen; Borja, Ronaldo I.
  • International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 33, Issue 13 https://doi.org/10.1002/nag.777
journal September 2009
Infinite elements journal January 1977
A perfectly matched layer for the absorption of electromagnetic waves journal October 1994
Dirichlet-to-Neumann Maps for Unbounded Wave Guides journal June 1998
�ber die partiellen Differenzengleichungen der mathematischen Physik journal December 1928
A spectral method for three-dimensional elastodynamic fracture problems journal November 1995
Two-dimensional dynamic and three-dimensional fracture in viscoelastic materials journal October 1998
Ultracataclasite structure and friction processes of the Punchbowl fault, San Andreas system, California journal September 1998
Stabilized low-order finite elements for coupled solid-deformation/fluid-diffusion and their application to fault zone transients journal September 2008
Dynamic earthquake rupture simulations on nonplanar faults embedded in 3D geometrically complex, heterogeneous elastic solids journal January 2016
A finite difference method for off-fault plasticity throughout the earthquake cycle journal December 2017
Effect of Impermeable Boundaries on the Propagation of Rayleigh Waves in an Unsaturated Poroelastic Half-Space journal December 2010
Elastodynamic analysis for slow tectonic loading with spontaneous rupture episodes on faults with rate- and state-dependent friction journal October 2000
Dynamic shear rupture interactions with fault bends and off-axis secondary faulting: DYNAMIC BRANCHING AND SECONDARY FAULTING journal November 2002
Universal nucleation length for slip-weakening rupture instability under nonuniform fault loading: UNIVERSAL NUCLEATION LENGTH journal January 2003
Comparison of finite difference and boundary integral solutions to three-dimensional spontaneous rupture journal January 2005
Spectral element modeling of spontaneous earthquake rupture on rate and state faults: Effect of velocity-strengthening friction at shallow depths journal January 2008
Inelastic strain distribution and seismic radiation from rupture of a fault kink journal January 2008
Inelastic off-fault response and three-dimensional dynamics of earthquake rupture on a strike-slip fault journal January 2010
Pulse-like ruptures induced by low-velocity fault zones journal January 2011
Three-dimensional dynamic rupture simulation with a high-order discontinuous Galerkin method on unstructured tetrahedral meshes: DYNAMIC RUPTURE WITH A 3-D DG METHOD journal February 2012
Comparison of two independent methods for the solution of wave-scattering problems: Response of a sedimentary basin to vertically incident SH waves journal January 1971
Cohesive force across the tip of a longitudinal-shear crack and Griffith's specific surface energy journal July 1972
Rupture propagation with finite stress in antiplane strain journal July 1976
Modeling of rock friction: 1. Experimental results and constitutive equations journal January 1979
Slip instability and state variable friction laws journal December 1983
Finite Dynamic Model for Infinite Media journal August 1969
Symmetric finite element and boundary integral coupling methods for fluid-solid interaction journal January 1991
Effect of off-fault low-velocity elastic inclusions on supershear rupture dynamics journal September 2015
A new hybrid numerical scheme for modelling elastodynamics in unbounded media with near-source heterogeneities journal August 2017
Nonequilibrium thermodynamics of driven amorphous materials. I. Internal degrees of freedom and volume deformation journal September 2009
Nonequilibrium thermodynamics of driven amorphous materials. II. Effective-temperature theory journal September 2009
Nonequilibrium thermodynamics of driven amorphous materials. III. Shear-transformation-zone plasticity journal September 2009
Admissible Speeds for Plane-Strain Self-Similar Shear Cracks with Friction but Lacking Cohesion journal December 1973
A numerical study of two-dimensional spontaneous rupture propagation journal September 1977
Dynamic rupture simulation of non-planar faults with a finite-difference approach: Dynamic rupture simulation journal July 2004
Simulation of Wave Propagation Along Fluid-Filled Cracks Using High-Order Summation-by-Parts Operators and Implicit-Explicit Time Stepping journal January 2017
3D finite-difference dynamic-rupture modeling along nonplanar faults journal September 2007
Off-Fault Secondary Failure Induced by a Dynamic Slip Pulse journal February 2005
Earthquake Ruptures with Strongly Rate-Weakening Friction and Off-Fault Plasticity, Part 1: Planar Faults journal September 2011
The SCEC/USGS Dynamic Earthquake Rupture Code Verification Exercise journal January 2009

Cited By (1)