Modeling seismic swarms triggered by aseismic transients

Abstract The rate of earthquake occurrence varies by many orders of magnitude in a given region due to variations in the stress state of the crust. Our focus here is on variations in seismicity rate triggered by transient aseismic processes such as fluid flow, fault creep or magma intrusion. While these processes have been shown to trigger earthquakes, converting observed seismicity variations into estimates of stress rate variations has been challenging. Essentially aftershock sequences often obscure changes in the background seismicity rate resulting from aseismic processes. Two common approaches for estimating the time dependence of the underlying driving mechanisms are the stochastic Epidemic Type Aftershock Sequence model (ETAS) [Ogata, Y., (1988), Statistical models for earthquake occurrences and residual analysis for point processes, J. Am. Stat. Assoc., 83, 9–27.] and a physical approach based on the rate- and state-model of fault friction [Dieterich, J., (1994), A constitutive law for rate of earthquake production and its application to earthquake clustering, J. Geophys. Res., 99, 2601–2618.]. The models have different strengths that could be combined to allow more quantitative studies of earthquake triggering. To accomplish this, we identify the parameters that relate to one another in the two models and examine their dependence on stressing rate. A particular conflict arises because the rate–state model predicts that aftershock productivity scales with stressing rate while the ETAS model assumes that it is time independent. To resolve this issue, we estimate triggering parameters for 4 earthquake swarms contemporaneous with geodetically observed deformation transients in various tectonic environments. We find that stressing rate transients increase the background seismicity rate without affecting aftershock productivity. We then specify a combined model for seismicity rate variations that will allow future studies to invert seismicity catalogs for variations in aseismic stressing rates.

[1]  J. Dieterich,et al.  Stress transferred by the 1995 Mw = 6.9 Kobe, Japan, shock: Effect on aftershocks and future earthquake probabilities , 1998 .

[2]  Yosihiko Ogata,et al.  Statistical Models for Earthquake Occurrences and Residual Analysis for Point Processes , 1988 .

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

[4]  H. Suito,et al.  Occurrence of quasi-periodic slow-slip off the east coast of the Boso peninsula, Central Japan , 2007 .

[5]  S. Miyazaki,et al.  Characteristic silent earthquakes in the eastern part of the Boso peninsula, Central Japan , 2003 .

[6]  R. Simpson,et al.  Suppression of large earthquakes by stress shadows: A comparison of Coulomb and rate-and-state failure , 1998 .

[7]  J. Dieterich,et al.  The use of earthquake rate changes as a stress meter at Kilauea volcano , 2000, Nature.

[8]  P. Shearer,et al.  A survey of 71 earthquake bursts across southern California: Exploring the role of pore fluid pressure fluctuations and aseismic slip as drivers , 2005 .

[9]  F. Cotton,et al.  Redistribution of dynamic stress during coseismic ruptures: Evidence for fault interaction and earthquake triggering , 1999 .

[10]  Yosihiko Ogata,et al.  Detection of anomalous seismicity as a stress change sensor , 2003 .

[11]  Shinji Toda,et al.  Evidence from the ad 2000 Izu islands earthquake swarm that stressing rate governs seismicity , 2002, Nature.

[12]  Rodolfo Console,et al.  Real Time Forecasts through an Earthquake Clustering Model Constrained by the Rate-and- State Constitutive Law: Comparison with a Purely Stochastic ETAS Model , 2007 .

[13]  D. Hill,et al.  Earthquakes, Active Faults, and Geothermal Areas in the Imperial Valley, California , 1975, Science.

[14]  T. Utsu A statistical study on the occurrence of aftershocks. , 1961 .

[15]  E. Brodsky,et al.  Creep events slip less than ordinary earthquakes , 2007 .

[16]  Kiyoo Mogi,et al.  Study of Elastic Shocks Caused by the Fracture of Heterogeneous Materials and its Relations to Earthquake Phenomena , 1962 .

[17]  Paul Segall,et al.  Sudden aseismic fault slip on the south flank of Kilauea volcano , 2001, Nature.

[18]  D. Sornette,et al.  Subcritical and supercritical regimes in epidemic models of earthquake aftershocks , 2001, cond-mat/0109318.

[19]  High precision earthquake locations reveal seismogenic structure beneath Mammoth Mountain, California , 2003 .

[20]  P. Shearer,et al.  Crustal earthquake bursts in California and Japan: Their patterns and relation to volcanoes , 2006 .

[21]  T. Jordan,et al.  Earthquake scaling relations for mid‐ocean ridge transform faults , 2004 .

[22]  T. Sagiya Interplate Coupling in the Kanto District, Central Japan, and the Boso Peninsula Silent Earthquake in May 1996 , 2004 .

[23]  Didier Sornette,et al.  Båth's law derived from the Gutenberg-Richter law and from aftershock properties , 2003 .

[24]  M. Furuya,et al.  Aseismic slip during the 1996 earthquake swarm in and around the Onikobe geothermal area, NE Japan , 2010 .

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

[26]  Rowena B. Lohman,et al.  Earthquake swarms driven by aseismic creep in the Salton Trough, California , 2007 .

[27]  Thomas H. Jordan,et al.  Foreshock sequences and short-term earthquake predictability on East Pacific Rise transform faults , 2004, Nature.

[28]  P. Einarsson,et al.  Seismological evidence for Lateral magma intrusion during the July 1978 deflation of the Krafla volcano in NE-Iceland , 1978 .

[29]  D. Lockner,et al.  Quantitative measure of the variation in fault rheology due to fluid‐rock interactions , 1998 .

[30]  M. Bevis,et al.  Slow earthquakes on the flank of Kilauea volcano, Hawai'i , 2005 .

[31]  A. Helmstetter Is earthquake triggering driven by small earthquakes? , 2002, Physical review letters.

[32]  Y. Ogata,et al.  The Centenary of the Omori Formula for a Decay Law of Aftershock Activity , 1995 .

[33]  L. Jones,et al.  Properties of aftershock sequences in southern California , 1991 .

[34]  F. Omori,et al.  On the after-shocks of earthquakes , 1894 .

[35]  R. Console,et al.  Modeling seismicity rate changes during the 1997 Umbria-Marche sequence (central Italy) through a rate- and state-dependent model , 2008 .

[36]  Y. Ogata Space-Time Point-Process Models for Earthquake Occurrences , 1998 .

[37]  H. Kaieda,et al.  Permeability characterization of the Soultz and Ogachi large-scale reservoir using induced microseismicity , 2002 .

[38]  Rodolfo Console,et al.  Physical and stochastic models of earthquake clustering , 2006 .

[39]  Bruce E. Shaw,et al.  Relation between stress heterogeneity and aftershock rate in the rate-and-state model , 2006 .

[40]  Shinji Toda,et al.  Spatio-temporal stress states estimated from seismicity rate changes in the Tokai region, central Japan , 2004 .

[41]  Yehuda Ben-Zion,et al.  Analysis of aftershocks in a lithospheric model with seismogenic zone governed by damage rheology , 2006 .

[42]  P. Okubo,et al.  Microearthquake streaks and seismicity triggered by slow earthquakes on the mobile south flank of Kilauea Volcano, Hawai'i , 2007 .

[43]  P. Bernard,et al.  Evidence for coupled seismic and aseismic fault slip during water injection in the geothermal site of Soultz (France), and implications for seismogenic transients , 2007 .

[44]  Yosihiko Ogata,et al.  Detecting fluid signals in seismicity data through statistical earthquake modeling , 2005 .

[45]  Yosihiko Ogata,et al.  Space‐time model for regional seismicity and detection of crustal stress changes , 2004 .

[46]  Geoffrey Blewitt,et al.  Evidence for Deep Magma Injection Beneath Lake Tahoe, Nevada-California , 2004, Science.

[47]  Frederick M. Chester,et al.  Multimechanism friction constitutive model for ultrafine quartz gouge at hypocentral conditions , 1992 .

[48]  S. Shapiro,et al.  Characterization of hydraulic properties of rocks using probability of fluid-induced microearthquakes , 2005 .

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