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Title: A Novel Hybrid Finite Element-Spectral Boundary Integral Scheme for Modeling Earthquake Cycles: Application to Rate and State Faults With Low-Velocity Zones

Journal Article · · Journal of Geophysical Research. Solid Earth
ORCiD logo [1];  [2];  [2]
  1. Univ. of Illinois at Urbana-Champaign, IL (United States); OSTI
  2. Univ. of Illinois at Urbana-Champaign, IL (United States)

We present a novel hybrid finite element-spectral boundary integral (SBI) scheme that enables efficient simulation of earthquake cycles. This combined finite element-SBI approach captures the benefits of finite elements in modeling problems with nonlinearities, as well as the computational superiority of SBI. The domain truncation enabled by this scheme allows us to utilize high-resolution finite elements discretization to capture inhomogeneities or complexities that may exist in a narrow region surrounding the fault. Combined with an adaptive time stepping algorithm, this framework opens new opportunities for modeling earthquake cycles with high-resolution fault zone physics. In this initial study, we consider a two-dimensional antiplane model with a vertical strike-slip fault governed by rate and state friction in the quasi-dynamic limit under the radiation damping approximation. The proposed approach is first verified using the benchmark problem BP-1 from the Southern California Earthquake Center sequence of earthquake and aseismic slip community verification effort. The computational framework is then utilized to model the earthquake sequence and aseismic slip of a fault embedded within a low-velocity fault zone (LVFZ) with different widths and compliance levels. Our results indicate that sufficiently compliant LVFZs contribute to the emergence of subsurface events that fail to penetrate to the free surface and may experience earthquake clusters with nonuniform interseismic time. Furthermore, the LVFZ leads to slip rate amplification relative to the homogeneous elastic case. We discuss the implications of our results for understanding earthquake complexity as an interplay of fault friction and bulk heterogeneities.

Research Organization:
Univ. of Illinois at Urbana-Champaign, IL (United States)
Sponsoring Organization:
USDOE Office of Fossil Energy (FE)
Grant/Contract Number:
FE0031685
OSTI ID:
1799958
Journal Information:
Journal of Geophysical Research. Solid Earth, Journal Name: Journal of Geophysical Research. Solid Earth Journal Issue: 12 Vol. 124; ISSN 2169-9313
Publisher:
American Geophysical UnionCopyright Statement
Country of Publication:
United States
Language:
English

References (84)

Off-fault long-term damage: A condition to account for generic, triangular earthquake slip profiles journal April 2014
The seismic cycle at subduction thrusts: Insights from seismo-thermo-mechanical models: SEISMO-THERMO-MECHANICAL MODELING journal December 2013
An efficient numerical method for earthquake cycles in heterogeneous media: Alternating subbasin and surface-rupturing events on faults crossing a sedimentary basin journal April 2014
Quasi-dynamic versus fully dynamic simulations of earthquakes and aseismic slip with and without enhanced coseismic weakening journal March 2014
Earthquake ruptures modulated by waves in damaged fault zones journal April 2014
Bimaterial effects in an earthquake cycle model using rate-and-state friction: BIMATERIAL EARTHQUAKE CYCLES journal April 2016
Stress drop estimates of potentially induced earthquakes in the Guy-Greenbrier sequence: STRESS DROPS OF INDUCED EARTHQUAKES journal September 2016
Earthquake supercycles as part of a spectrum of normal fault slip styles: Normal Fault Earthquake Supercycles journal April 2017
A domain decomposition approach to implementing fault slip in finite-element models of quasi-static and dynamic crustal deformation: FAULT SLIP VIA DOMAIN DECOMPOSITION journal June 2013
A hybrid finite element‐spectral boundary integral approach: Applications to dynamic rupture modeling in unbounded domains
  • Ma, Xiao; Hajarolasvadi, Setare; Albertini, Gabriele
  • International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 43, Issue 1 https://doi.org/10.1002/nag.2865
journal October 2018
Lagrangian meshfree particles method (SPH) for large deformation and failure flows of geomaterial using elastic-plastic soil constitutive model
  • Bui, Ha H.; Fukagawa, Ryoichi; Sako, Kazunari
  • International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 32, Issue 12 https://doi.org/10.1002/nag.688
journal August 2008
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
Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field FE implementations journal August 2010
A perfectly matched layer for the absorption of electromagnetic waves journal October 1994
Finite Elements in Fracture Mechanics: Theory, Numerics, Applications book January 2013
Numerical analysis of dynamic debonding under 2D in-plane and 3D loading book January 1998
Dynamic faulting under rate-dependent friction journal January 1994
Interseismic Strain Localization in the San Jacinto Fault Zone journal December 2013
Numerical analysis of dynamic crack propagation: Generation and prediction studies journal January 1982
A spectral method for three-dimensional elastodynamic fracture problems journal November 1995
Earthquake nucleation on faults with rate-and state-dependent strength journal September 1992
Infinite elements journal February 1994
How well do surface slip measurements track slip at depth in large strike-slip earthquakes? The importance of fault structural maturity in controlling on-fault slip versus off-fault surface deformation journal February 2014
A finite difference method for off-fault plasticity throughout the earthquake cycle journal December 2017
Earthquake cycle simulations with rate-and-state friction and power-law viscoelasticity journal May 2018
Stability of faults with heterogeneous friction properties and effective normal stress journal May 2018
Modulation of fault strength during the seismic cycle by grain-size evolution around contact junctions journal August 2019
Fault rupture between dissimilar materials: Ill-posedness, regularization, and slip-pulse response journal November 2000
Elastodynamic analysis for slow tectonic loading with spontaneous rupture episodes on faults with rate- and state-dependent friction journal October 2000
Dynamic rupture on an interface between a compliant fault zone layer and a stiffer surrounding solid journal January 2002
Nucleation of rupture under slip dependent friction law: Simple models of fault zone: NUCLEATION OF RUPTURE journal December 2002
Nucleation and early seismic propagation of small and large events in a crustal earthquake model: NUCLEATION AND EARLY SEISMIC PROPAGATION journal April 2003
Comparison of finite difference and boundary integral solutions to three-dimensional spontaneous rupture journal January 2005
Seismicity on a fault controlled by rate- and state-dependent friction with spatial variations of the critical slip distance journal January 2006
Heating and weakening of faults during earthquake slip: HEATING AND WEAKENING OF FAULTS journal May 2006
Spontaneous and triggered aseismic deformation transients in a subduction fault model journal January 2007
Earthquake nucleation on rate and state faults – Aging and slip laws journal January 2008
Effect of a compliant fault zone on the inferred earthquake slip distribution journal January 2008
Spectral element modeling of spontaneous earthquake rupture on rate and state faults: Effect of velocity-strengthening friction at shallow depths journal January 2008
Three-dimensional boundary integral modeling of spontaneous earthquake sequences and aseismic slip journal January 2009
Dynamic path selection along branched faults: Experiments involving sub-Rayleigh and supershear ruptures journal January 2009
Spectral-element simulations of long-term fault slip: Effect of low-rigidity layers on earthquake-cycle dynamics journal January 2011
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
On the Deterministic Description of Earthquakes journal January 2011
An Invariant Rate- and State-Dependent Friction Formulation for Viscoeastoplastic Earthquake Cycle Simulations journal June 2018
Asthenosphere Flow Modulated by Megathrust Earthquake Cycles journal June 2018
Spontaneous processes for nucleation, dynamic propagation, and stop of earthquake rupture journal June 1992
Internal structure and weakening mechanisms of the San Andreas Fault journal January 1993
Spatio-temporal complexity of slip on a fault journal January 1993
Seismic guided waves trapped in the fault zone of the Landers, California, earthquake of 1992 journal June 1994
Modeling of rock friction: 1. Experimental results and constitutive equations journal January 1979
Slip instability and state variable friction laws journal December 1983
Crustal earthquake instability in relation to the depth variation of frictional slip properties journal January 1986
Dynamic rupture modeling with laboratory-derived constitutive relations journal January 1989
Why giant earthquakes keep catching us out journal March 2012
Slip-stick and the evolution of frictional strength journal January 2010
Fault lubrication during earthquakes journal March 2011
Stable creeping fault segments can become destructive as a result of dynamic weakening journal January 2013
Simulation of slip transients and earthquakes in finite thickness shear zones with a plastic formulation journal September 2018
A shallow fault-zone structure illuminated by trapped waves in the Karadere-Duzce branch of the North Anatolian Fault, western Turkey journal March 2003
Finite Dynamic Model for Infinite Media journal August 1969
Slip complexity in earthquake fault models. journal April 1996
Effect of off-fault low-velocity elastic inclusions on supershear rupture dynamics journal September 2015
Dynamic rupture in a damage-breakage rheology model journal May 2016
A new hybrid numerical scheme for modelling elastodynamics in unbounded media with near-source heterogeneities journal August 2017
Dynamic rupture and earthquake sequence simulations using the wave equation in second-order form journal July 2019
Large-Scale Earthquake Simulation: Computational Seismology and Complex Engineering Systems journal July 2011
Petascale High Order Dynamic Rupture Earthquake Simulations on Heterogeneous Supercomputers
  • Heinecke, Alexander; Breuer, Alexander; Rettenberger, Sebastian
  • SC14: International Conference for High Performance Computing, Networking, Storage and Analysis https://doi.org/10.1109/SC.2014.6
conference November 2014
Examining tendencies of in-plane rupture to migrate to material interfaces journal November 2006
Cracks, pulses and macroscopic asymmetry of dynamic rupture on a bimaterial interface with velocity-weakening friction journal May 2008
Three-dimensional models of elastostatic deformation in heterogeneous media, with applications to the Eastern California Shear Zone journal October 2009
Shallow low-velocity zone of the San Jacinto fault from local earthquake waveform modelling: San Jacinto fault structure from body waves journal August 2010
Diversity of fault zone damage and trapping structures in the Parkfield section of the San Andreas Fault from comprehensive analysis of near fault seismograms: Diversity of fault zone damage at Parkfield journal October 2010
Seismic structures of the Calico fault zone inferred from local earthquake travel time modelling: Seismic structures of the Calico fault zone journal June 2011
Boundary Element Formulations in Fracture Mechanics journal February 1997
Stability of Steady Frictional Slipping journal June 1983
Flash Heating Leads to Low Frictional Strength of Crustal Rocks at Earthquake Slip Rates journal October 2011
Seismic and geodetic evidence for extensive, long-lived fault damage zones journal April 2009
Asthenosphere flow modulated by megathrust earthquake cycles text January 2018
Asthenosphere flow modulated by megathrust earthquake cycles text January 2022
Inversion of strong ground motion and teleseismic waveform data for the fault rupture history of the 1979 Imperial Valley, California, earthquake journal December 1983
Cracks, pulses and macroscopic asymmetry of dynamic rupture on a bimaterial interface with velocity-weakening friction text January 2008