Modeling afterslip and aftershocks following the 1992 Landers earthquake

One way to probe the rheology of the lithosphere and fault zones is to analyze the temporal evolution of deformation following a large earthquake. In such a case, the lithosphere responds to a known stress change that can be assessed from earthquake slip models constrained from seismology and geodesy. Here, we model the postseismic response of a fault zone that is assumed to obey a rate-strengthening rheology, where the frictional stress varies as aσ ln(e), e being the deformation rate and aσ > 0 a rheological parameter. The model is simple enough that these parameters can be estimated by inversion of postseismic geodetic data. We apply this approach to the analysis of geodetic displacements following the M_w 7.3, 1992, Landers earthquake. The model adjusts well the measured displacements and implies aσ ≈ 0.47–0.53 MPa. In addition, we show that aftershocks and afterslip follow the same temporal evolution and that the spatiotemporal distribution of aftershocks is consistent with the idea that they are driven by reloading of the seismogenic zone resulting from frictional afterslip.

[1]  John A. Nelder,et al.  A Simplex Method for Function Minimization , 1965, Comput. J..

[2]  C. H. Scholz,et al.  Mechanism of creep in brittle rock , 1968 .

[3]  M. Wyss,et al.  DISPLACEMENT ON THE SAN ANDREAS FAULT SUBSEQUENT TO THE 1966 PARKFIELD EARTHQUAKE , 1968 .

[4]  D. Cruden A theory of brittle creep in rock under uniaxial compression , 1970 .

[5]  A. Ruina Slip instability and state variable friction laws , 1983 .

[6]  J. Gu,et al.  Earthquake aftereffects and triggered seismic phenomena , 1983 .

[7]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[8]  J. Sauber Geodetic measurement of deformation in California , 1989 .

[9]  K. Hudnut,et al.  New slip along parts of the 1968 Coyote Creek fault rupture, California , 1989 .

[10]  A. Ponter,et al.  Mechanics of creep brittle materials 1 , 1989 .

[11]  F. A. Seiler,et al.  Numerical Recipes in C: The Art of Scientific Computing , 1989 .

[12]  J. C. Savage,et al.  An apparent shear zone trending north-northwest across the Mojave Desert into Owens Valley, eastern , 1990 .

[13]  Chris Marone,et al.  On the mechanics of earthquake afterslip , 1991 .

[14]  Y. Okada Internal deformation due to shear and tensile faults in a half-space , 1992, Bulletin of the Seismological Society of America.

[15]  J. Rice Spatio‐temporal complexity of slip on a fault , 1993 .

[16]  G. King,et al.  STATIC STRESS CHANGES AND THE TRIGGERING OF EARTHQUAKES , 1994 .

[17]  J. Dieterich A constitutive law for rate of earthquake production and its application to earthquake clustering , 1994 .

[18]  Yehuda Bock,et al.  Postseismic deformation following the Landers earthquake, California, 28 June 1992 , 1994, Bulletin of the Seismological Society of America.

[19]  Sean C. Solomon,et al.  Geodetic slip rate for the eastern California shear zone and the recurrence time of Mojave desert earthquakes , 1994, Nature.

[20]  K. Hudnut,et al.  Slip Triggered on Southern California Faults by the 1992 Joshua Tree, Landers, and Big Bear Earthquakes , 1994 .

[21]  F. Chester A rheologic model for wet crust applied to strike‐slip faults , 1995 .

[22]  James D. Byerlee,et al.  Frictional slip of granite at hydrothermal conditions , 1995 .

[23]  Didier Massonnet,et al.  Detection of postseismic fault-zone collapse following the Landers earthquake , 1996, Nature.

[24]  Paul Rosen,et al.  Postseismic Rebound in Fault Step-Overs Caused by Pore Fluid Flow , 1996, Science.

[25]  Carl Kisslinger,et al.  Estimating tectonic stress rate and state with Landers aftershocks , 1997 .

[26]  K. Sieh,et al.  Long dormancy, low slip rate, and similar slip-per-event for the Emerson fault, eastern California shear zone , 1997 .

[27]  Kenneth W. Hudnut,et al.  Southern California Permanent GPS Geodetic Array: Continuous measurements of regional crustal deformation between the 1992 Landers and 1994 Northridge earthquakes , 1997 .

[28]  James C. Savage,et al.  Postseismic deformation associated with the 1992 M ω=7.3 Landers earthquake, southern California , 1997 .

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

[30]  Steven C. Cohen On the rapid postseismic uplift along Turnagain Arm, Alaska following the 1964 Prince William Sound Earthquake , 1998 .

[31]  E. Hauksson,et al.  The static stress change triggering model: Constraints from two southern California aftershock sequences , 1998 .

[32]  Fred F. Pollitz,et al.  Joint estimation of afterslip rate and postseismic relaxation following the 1989 Loma Prieta earthquake , 1998 .

[33]  D. Lockner A generalized law for brittle deformation of Westerly granite , 1998 .

[34]  C. Marone LABORATORY-DERIVED FRICTION LAWS AND THEIR APPLICATION TO SEISMIC FAULTING , 1998 .

[35]  Michel Campillo,et al.  Stress field associated with the rupture of the 1992 Landers, California, earthquake and its implications concerning the fault strength at the onset of the earthquake , 1998 .

[36]  Kanamori,et al.  Viscoelastic flow in the lower crust after the 1992 landers, california, earthquake , 1998, Science.

[37]  Kenneth W. Hudnut,et al.  Poroelastic rebound along the Landers 1992 earthquake surface rupture , 1998 .

[38]  A. Rubin,et al.  Streaks of microearthquakes along creeping faults , 1999, Nature.

[39]  R. Stein The role of stress transfer in earthquake occurrence , 1999, Nature.

[40]  Fred F. Pollitz,et al.  Mobility of continental mantle: Evidence from postseismic geodetic observations following the 1992 Landers earthquake , 2000 .

[41]  E. Hauksson,et al.  Crustal stress field in southern California and its implications for fault mechanics , 2001 .

[42]  Kelin Wang,et al.  A Silent Slip Event on the Deeper Cascadia Subduction Interface , 2001, Science.

[43]  J. Freymueller,et al.  Three-dimensional elastic dislocation modeling of the postseismic response to the 1964 Alaska earthquake , 2002 .

[44]  A. Nur,et al.  Aftershocks and Pore Fluid Diffusion Following the 1992 Landers Earthquake , 2002 .

[45]  Fred F. Pollitz,et al.  Stress Triggering of the 1999 Hector Mine Earthquake by Transient Deformation Following the 1992 Landers Earthquake , 2002 .

[46]  Paul Segall,et al.  Rapid afterslip following the 1999 Chi‐Chi, Taiwan Earthquake , 2002 .

[47]  R. Bürgmann,et al.  Dynamics of Izmit Earthquake Postseismic Deformation and Loading of the Duzce Earthquake Hypocenter , 2002 .

[48]  Goldberg,et al.  Genetic algorithms , 1993, Robust Control Systems with Genetic Algorithms.

[49]  H. Zebker,et al.  Fault Slip Distribution of the 1999 Mw 7.1 Hector Mine, California, Earthquake, Estimated from Satellite Radar and GPS Measurements , 2002 .

[50]  Jing Liu Part I. Slip behavior of the San Andreas Fault through several earthquake cycles Part II. A structural interpretation of the aftershock "Cloud" of the 1992 Mw 7.3 Landers earthquake , 2003 .

[51]  K. Sieh,et al.  A Structural Interpretation of the Aftershock “Cloud” of the 1992 Mw 7.3 Landers Earthquake , 2003 .

[52]  J. C. Savage,et al.  Near‐field postseismic deformation associated with the 1992 Landers and 1999 Hector Mine, California, earthquakes , 2003 .

[53]  Nadia Lapusta,et al.  Nucleation and early seismic propagation of small and large events in a crustal earthquake model , 2003 .

[54]  F. Amelung,et al.  Interferometric synthetic aperture radar observations of the 1994 Double Spring Flat, Nevada, earthquake (M5.9): Main shock accompanied by triggered slip on a conjugate fault , 2003 .

[55]  P. Shearer,et al.  Comprehensive Waveform Cross-correlation of Southern California Seismograms: Part 1. Refined Hypocenters Obtained Using the Double-difference Method and Tectonic Implications , 2003 .

[56]  Shear and normal load perturbations on a two-dimensional continuous fault: 2. Dynamic triggering: DYNAMIC TRIGGERING ON A CONTINUOUS FAULT , 2003 .

[57]  L. Montési Controls of shear zone rheology and tectonic loading on postseismic creep , 2004 .

[58]  Yuri Fialko,et al.  Evidence of fluid-filled upper crust from observations of postseismic deformation due to the 1992 Mw7.3 Landers earthquake , 2004 .

[59]  Hugo Perfettini,et al.  Postseismic relaxation driven by brittle creep: A possible mechanism to reconcile geodetic measurements and the decay rate of aftershocks, application to the Chi-Chi earthquake, Taiwan , 2004 .

[60]  Paul Segall,et al.  Space time distribution of afterslip following the 2003 Tokachi‐oki earthquake: Implications for variations in fault zone frictional properties , 2004 .

[61]  J. Avouac,et al.  Stress transfer and strain rate variations during the seismic cycle , 2004 .

[62]  Y. Fialko Probing the mechanical properties of seismically active crust with space geodesy: Study of the coseismic deformation due to the 1992 Mw7.3 Landers (southern California) earthquake , 2004 .

[63]  J. C. Savage,et al.  Postseismic relaxation and transient creep , 2005 .

[64]  J. Avouac,et al.  Geodetic displacements and aftershocks following the 2001 Mw = 8.4 Peru earthquake: Implications for the mechanics of the earthquake cycle along subduction zones , 2005 .

[65]  Agnès Helmstetter,et al.  Brittle creep, damage and time to failure in rocks , 2005 .

[66]  Jessica R. Murray,et al.  Coseismic and initial postseismic deformation from the 2004 Parkfield, California, earthquake, observed by global positioning system, electronic distance meter, creepmeters, and borehole strainmeters , 2006 .

[67]  Yehuda Bock,et al.  Frictional Afterslip Following the 2005 Nias-Simeulue Earthquake, Sumatra , 2006, Science.