Temporal variation in the magnitude‐frequency distribution during the Guy‐Greenbrier earthquake sequence

The recent increase in earthquake activity in the central U.S. has led to concerns about the hazard posed by induced earthquakes. Understanding earthquake phenomena and monitoring in all settings can be improved by the detection of small events; however, the catalog of induced earthquakes is incomplete for small events due to the sparse instrumentation. This is particularly true in settings of low background seismicity, like the central U.S. We apply single‐station template matching to detect small earthquakes during the Guy‐Greenbrier sequence in central Arkansas and find over 100 times more earthquakes than are registered in the Advanced National Seismic System catalog between July 2010 and October 2011. A complete catalog over nearly 4 units of magnitude enables us to analyze the magnitude‐frequency distribution of induced earthquakes. We find that earthquakes deviated from the Gutenberg‐Richter statistics during the operation of nearby injection wells but returned to Gutenberg‐Richter statistics after the wells were shut in.

[1]  C. Richter An instrumental earthquake magnitude scale , 1935 .

[2]  T. Utsu A method for determining the value of b in a formula log n=a-bM showing the magnitude frequency relation for earthquakes , 1965 .

[3]  K. Aki 17. Maximum Likelihood Estimate of b in the Formula logN=a-bM and its Confidence Limits , 1965 .

[4]  William Walden Rubey,et al.  The Denver EarthquakeS. , 1968, Science.

[5]  C. Scholz The frequency-magnitude relation of microfracturing in rock and its relation to earthquakes , 1968 .

[6]  B. Gutenberg,et al.  Seismicity of the Earth , 1970, Nature.

[7]  P. J. Huber Robust Regression: Asymptotics, Conjectures and Monte Carlo , 1973 .

[8]  H. Akaike A new look at the statistical model identification , 1974 .

[9]  J. Bredehoeft,et al.  An Experiment in Earthquake Control at Rangely, Colorado , 1976, Science.

[10]  Bernice Bender,et al.  Maximum likelihood estimation of b values for magnitude grouped data , 1983 .

[11]  Geoffrey C. P. King,et al.  The accommodation of large strains in the upper lithosphere of the earth and other solids by self-similar fault systems: the geometrical origin of b-Value , 1983 .

[12]  David M. Boore,et al.  Moment‐magnitude relations in theory and practice , 1984 .

[13]  H. Kanamori,et al.  Determination of earthquake energy release and ML using TERRAscope , 1993 .

[14]  Max Wyss,et al.  Inadvertent changes in magnitude reported in earthquake catalogs: Their evaluation through b-value estimates , 1995, Bulletin of the Seismological Society of America.

[15]  Stefan Wiemer,et al.  Temporal and Three-Dimensional Spatial of the Frequency-Magnitude (FMD) Distribution Near Long Valley Caldera, California , 1998 .

[16]  T. Utsu Representation and Analysis of the Earthquake Size Distribution: A Historical Review and Some New Approaches , 1999 .

[17]  M. Wyss,et al.  Minimum Magnitude of Completeness in Earthquake Catalogs: Examples from Alaska, the Western United States, and Japan , 2000 .

[18]  W. Marzocchi,et al.  A review and new insights on the estimation of the b-valueand its uncertainty , 2003 .

[19]  M. Wyss,et al.  Variations in earthquake-size distribution across different stress regimes , 2005, Nature.

[20]  G. Beroza,et al.  Non-volcanic tremor and low-frequency earthquake swarms , 2007, Nature.

[21]  P. Bodin,et al.  The Enola, Arkansas, Intraplate Swarm of 2001 , 2010 .

[22]  Serge A. Shapiro,et al.  Decay rate of fluid-induced seismicity after termination of reservoir stimulations , 2010 .

[23]  Serge A. Shapiro,et al.  Magnitudes of induced earthquakes and geometric scales of fluid-stimulated rock volumes , 2011 .

[24]  S. Wiemer,et al.  Influence of pore‐pressure on the event‐size distribution of induced earthquakes , 2012 .

[25]  Stephen P. Horton,et al.  Disposal of Hydrofracking Waste Fluid by Injection into Subsurface Aquifers Triggers Earthquake Swarm in Central Arkansas with Potential for Damaging Earthquake , 2012 .

[26]  Cliff Frohlich,et al.  Gas injection may have triggered earthquakes in the Cogdell oil field, Texas , 2013, Proceedings of the National Academy of Sciences.

[27]  A. Michael,et al.  Modeling Earthquake Rate Changes in Oklahoma and Arkansas: Possible Signatures of Induced Seismicity , 2013 .

[28]  W. Ellsworth Injection-Induced Earthquakes , 2013, Science.

[29]  C. Frohlich,et al.  Two-year survey of earthquakes and injection/production wells in the Eagle Ford Shale, Texas, prior to the MW4.8 20 October 2011 earthquake , 2013 .

[30]  G. Hayes,et al.  Seismological and geodetic constraints on the 2011 Mw5.3 Trinidad, Colorado earthquake and induced deformation in the Raton Basin , 2014 .

[31]  Robert J. Skoumal,et al.  Optimizing multi-station earthquake template matching through re-examination of the Youngstown, Ohio, sequence , 2014 .

[32]  I. Dricker,et al.  Characterization of an Earthquake Sequence Triggered by Hydraulic Fracturing in Harrison County, Ohio , 2014 .

[33]  Gregory C. Beroza,et al.  An Empirical Approach to Subspace Detection , 2014 .

[34]  Cross-correlation—an objective tool to indicate induced seismicity , 2014 .

[35]  Thomas H. Heaton Northridge 20 Years After , 2014 .

[36]  A. McGarr,et al.  Maximum magnitude earthquakes induced by fluid injection , 2014 .

[37]  Microseismicity Induced by Deep Wastewater Injection in Southern Trumbull County, Ohio , 2015 .

[38]  Jon E. Olson,et al.  Causal factors for seismicity near Azle, Texas , 2015, Nature Communications.

[39]  Zhenming Wang,et al.  Predicting or Forecasting Earthquakes and the Resulting Ground‐Motion Hazards: A Dilemma for Earth Scientists , 2015 .

[40]  Stefan Wiemer,et al.  Potential of ambient seismic noise techniques to monitor the St. Gallen geothermal site (Switzerland) , 2015 .

[41]  Fernando De la Torre,et al.  Robust Regression , 2016, IEEE Trans. Pattern Anal. Mach. Intell..