ViscoSim Earthquake Simulator

Synthetic seismicity simulations have been explored by the Southern California Earthquake Center (SCEC) Earthquake Simulators Group in order to guide long‐term forecasting efforts related to the Unified California Earthquake Rupture Forecast (Tullis et al. , 2012a). In this study I describe the viscoelastic earthquake simulator (ViscoSim) of Pollitz, 2009. Recapitulating to a large extent material previously presented by Pollitz (2009, 2011) I describe its implementation of synthetic ruptures and how it differs from other simulators being used by the group. ### Generation of Synthetic Slip Events Model faults are assumed to reside in an elastic crust that overlies a viscoelastic crust and mantle with a Maxwell viscoelastic rheology. The evolving physical variable is the Coulomb failure function, which is a linear combination of the shear stress and normal stress resolved upon an a priori slip direction along the considered fault surface (Simpson and Reasenberg, 1994). Following Ben‐Zion et al. (2003), a static stress threshold σ s determines the initiation of a slip event. During an event, stress on an initially failing patch drops by an amount Δ σ (a stress‐reduction parameter assigned to a given patch) to the arrest stress level σ a (more precisely, the slip is that which would reduce the stress to σ a in the absence of slip on other patches). After a set of slip events so determined, stress is transferred from slipped patches to neighboring patches, which may fail first at the static stress threshold σ s and subsequently (during the same event) at the dynamic stress threshold σ d . It is useful to define a dynamic overshoot coefficient D =Δ σ /( σ s − σ d ), where Δ σ = σ s − σ a (i.e., the reduction in stress on one initially failing patch). The parameter D characterizes how far the stress in each subevent …

[1]  F. Pollitz A Viscoelastic Earthquake Simulator with Application to the San Francisco Bay Region , 2009 .

[2]  T. Maruyama On Two-Dimensional Elastic Dislocations in an Infinite and Semi-infinite Medium , 1967 .

[3]  J. D. Eshelby The determination of the elastic field of an ellipsoidal inclusion, and related problems , 1957, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[4]  Yehuda Ben-Zion,et al.  Collective behavior of earthquakes and faults: Continuum‐discrete transitions, progressive evolutionary changes, and different dynamic regimes , 2008 .

[5]  R. Simpson,et al.  In the shadow of 1857‐the effect of the Great Ft. Tejon Earthquake on subsequent earthquakes in southern California , 1996 .

[6]  Louise H. Kellogg,et al.  Generic Earthquake Simulator , 2012 .

[7]  Fred F. Pollitz,et al.  Probabilistic seismic hazard in the San Francisco Bay area based on a simplified viscoelastic cycle model of fault interactions , 2007 .

[8]  Walter H. F. Smith,et al.  New, improved version of generic mapping tools released , 1998 .

[9]  Yehuda Ben-Zion,et al.  Statistics of Earthquakes in Simple Models of Heterogeneous Faults , 1997 .

[10]  Yehuda Ben-Zion,et al.  Large earthquake cycles and intermittent criticality on heterogeneous faults due to evolving stress and seismicity , 2003 .

[11]  L. Knopoff Energy Release in Earthquakes , 1958 .

[12]  Yehuda Ben-Zion,et al.  Transitions between Gutenberg-Richter and Characteristic Earthquake behavior in Simple Mean-Field Models of Heterogeneous Faults , 1998 .

[13]  Thomas C. Hanks,et al.  M-logA Observations for Recent Large Earthquakes , 2008 .

[14]  F. Pollitz Epistemic Uncertainty in California-Wide Synthetic Seismicity Simulations , 2011 .

[15]  D. Wells,et al.  New empirical relationships among magnitude, rupture length, rupture width, rupture area, and surface displacement , 1994, Bulletin of the Seismological Society of America.

[16]  Louise H. Kellogg,et al.  A Comparison among Observations and Earthquake Simulator Results for the allcal2 California Fault Model , 2012 .