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Title: Earthquake stress via event ratio levels: Application to the 2011 and 2016 Oklahoma seismic sequences

Abstract

Abstract We develop a new methodology for determining earthquake stress drop and apparent stress values via spectral ratio asymptotic levels. With sufficient bandwidth, the stress ratio for a pair of events can be directly related to these low‐ and high‐frequency levels. This avoids the need to assume a particular spectral model and derive stress drop from cubed corner frequency measures. The method can be applied to spectral ratios for any pair of closely related earthquakes and is particularly well suited for coda envelope methods that provide good azimuthally averaged, point‐source measures. We apply the new method to the 2011 Prague and 2016 Pawnee earthquake sequences in Oklahoma. The sequences show stress scaling with size and depth, with the largest events having apparent stress levels near 1 MPa and smaller and/or shallower events having systematically lower stress values.

Authors:
ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [3]; ORCiD logo [1]
  1. Lawrence Livermore National Laboratory Livermore California USA
  2. Weston Geophysical Corporation Lexington Massachusetts USA
  3. University of California Berkeley California USA
Publication Date:
Research Org.:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1351639
Alternate Identifier(s):
OSTI ID: 1351641; OSTI ID: 1410068
Report Number(s):
LLNL-JRNL-714167
Journal ID: ISSN 0094-8276
Grant/Contract Number:  
AC52-07NA27344
Resource Type:
Published Article
Journal Name:
Geophysical Research Letters
Additional Journal Information:
Journal Name: Geophysical Research Letters Journal Volume: 44 Journal Issue: 7; Journal ID: ISSN 0094-8276
Publisher:
American Geophysical Union (AGU)
Country of Publication:
United States
Language:
English
Subject:
58 GEOSCIENCES; earthquake apparent stress; earthquake scaling; Oklahoma seismicity

Citation Formats

Walter, William R., Yoo, Seung‐Hoon, Mayeda, Kevin, and Gök, Rengin. Earthquake stress via event ratio levels: Application to the 2011 and 2016 Oklahoma seismic sequences. United States: N. p., 2017. Web. doi:10.1002/2016GL072348.
Walter, William R., Yoo, Seung‐Hoon, Mayeda, Kevin, & Gök, Rengin. Earthquake stress via event ratio levels: Application to the 2011 and 2016 Oklahoma seismic sequences. United States. https://doi.org/10.1002/2016GL072348
Walter, William R., Yoo, Seung‐Hoon, Mayeda, Kevin, and Gök, Rengin. Fri . "Earthquake stress via event ratio levels: Application to the 2011 and 2016 Oklahoma seismic sequences". United States. https://doi.org/10.1002/2016GL072348.
@article{osti_1351639,
title = {Earthquake stress via event ratio levels: Application to the 2011 and 2016 Oklahoma seismic sequences},
author = {Walter, William R. and Yoo, Seung‐Hoon and Mayeda, Kevin and Gök, Rengin},
abstractNote = {Abstract We develop a new methodology for determining earthquake stress drop and apparent stress values via spectral ratio asymptotic levels. With sufficient bandwidth, the stress ratio for a pair of events can be directly related to these low‐ and high‐frequency levels. This avoids the need to assume a particular spectral model and derive stress drop from cubed corner frequency measures. The method can be applied to spectral ratios for any pair of closely related earthquakes and is particularly well suited for coda envelope methods that provide good azimuthally averaged, point‐source measures. We apply the new method to the 2011 Prague and 2016 Pawnee earthquake sequences in Oklahoma. The sequences show stress scaling with size and depth, with the largest events having apparent stress levels near 1 MPa and smaller and/or shallower events having systematically lower stress values.},
doi = {10.1002/2016GL072348},
journal = {Geophysical Research Letters},
number = 7,
volume = 44,
place = {United States},
year = {Fri Apr 14 00:00:00 EDT 2017},
month = {Fri Apr 14 00:00:00 EDT 2017}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1002/2016GL072348

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Cited by: 20 works
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Works referenced in this record:

Earthquake aftershocks as Green's functions
journal, January 1978


Moment rate scaling for earthquakes 3.3 ≤  M  ≤ 5.3 with implications for stress drop : MOMENT RATE SCALING FOR EARTHQUAKES
journal, December 2016

  • Archuleta, Ralph J.; Ji, Chen
  • Geophysical Research Letters, Vol. 43, Issue 23
  • DOI: 10.1002/2016GL071433

Injection-Induced Earthquakes
journal, July 2013


Evidence for non-constant energy/moment scaling from coda-derived source spectra
journal, January 2005


Quantifying Seismic Source Parameter Uncertainties
journal, March 2011

  • Kane, D. L.; Prieto, G. A.; Vernon, F. L.
  • Bulletin of the Seismological Society of America, Vol. 101, Issue 2
  • DOI: 10.1785/0120100166

Tectonic stress and the spectra of seismic shear waves from earthquakes
journal, September 1970


Stress estimates for South American shallow and deep earthquakes
journal, March 1970


Scaling Transition in Earthquake Sources: A Possible Link Between Seismic and Laboratory Measurements
journal, December 2013


Scale-dependence of seismic energy-to-moment ratio for strike-slip earthquakes in Japan
journal, October 2001

  • Izutani, Yasuo; Kanamori, Hiroo
  • Geophysical Research Letters, Vol. 28, Issue 20
  • DOI: 10.1029/2001GL013402

Finite-fault slip model of the 2011 M w 5.6 Prague, Oklahoma earthquake from regional waveforms
journal, June 2014

  • Sun, Xiaodan; Hartzell, Stephen
  • Geophysical Research Letters, Vol. 41, Issue 12
  • DOI: 10.1002/2014GL060410

On the characteristics of earthquake stress release variations in Japan
journal, September 2013


Seismic source spectra and estimated stress drop derived from cohesive-zone models of circular subshear rupture
journal, March 2014

  • Kaneko, Y.; Shearer, P. M.
  • Geophysical Journal International, Vol. 197, Issue 2
  • DOI: 10.1093/gji/ggu030

Stress-drop heterogeneity within tectonically complex regions: a case study of San Gorgonio Pass, southern California
journal, May 2015

  • Goebel, T. H. W.; Hauksson, E.; Shearer, P. M.
  • Geophysical Journal International, Vol. 202, Issue 1
  • DOI: 10.1093/gji/ggv160

Spectra of seismic radiation from a tensile crack
journal, March 1993

  • Walter, William R.; Brune, James N.
  • Journal of Geophysical Research: Solid Earth, Vol. 98, Issue B3
  • DOI: 10.1029/92JB02414

Energy radiation from intermediate- to large-magnitude earthquakes: Implications for dynamic fault weakening
journal, January 2010

  • Malagnini, Luca; Nielsen, Stefan; Mayeda, Kevin
  • Journal of Geophysical Research, Vol. 115, Issue B6
  • DOI: 10.1029/2009JB006786

Moment, energy, stress drop, and source spectra of western United States earthquakes from regional coda envelopes
journal, May 1996

  • Mayeda, Kevin; Walter, William R.
  • Journal of Geophysical Research: Solid Earth, Vol. 101, Issue B5
  • DOI: 10.1029/96JB00112

Variability of earthquake stress drop in a subduction setting, the Hikurangi Margin, New Zealand
journal, October 2016

  • Abercrombie, Rachel E.; Bannister, Stephen; Ristau, John
  • Geophysical Journal International, Vol. 208, Issue 1
  • DOI: 10.1093/gji/ggw393

Source Characterization for Broadband Ground-Motion Simulation: Kinematic Heterogeneous Source Model and Strong Motion Generation Area
journal, December 2003

  • Miyake, H.
  • Bulletin of the Seismological Society of America, Vol. 93, Issue 6
  • DOI: 10.1785/0120020183

Empirical Green's Function Analysis of Recent Moderate Events in California
journal, June 2001

  • Hough, S. E.
  • Bulletin of the Seismological Society of America, Vol. 91, Issue 3
  • DOI: 10.1785/0119970154

Stable and Transportable Regional Magnitudes Based on Coda-Derived Moment-Rate Spectra
journal, February 2003

  • Mayeda, K.
  • Bulletin of the Seismological Society of America, Vol. 93, Issue 1
  • DOI: 10.1785/0120020020

A new spectral ratio method using narrow band coda envelopes: Evidence for non-self-similarity in the Hector Mine sequence
journal, January 2007

  • Mayeda, Kevin; Malagnini, Luca; Walter, William R.
  • Geophysical Research Letters, Vol. 34, Issue 11
  • DOI: 10.1029/2007GL030041

New perspectives on self-similarity for shallow thrust earthquakes: SOURCE PROPERTIES OF THRUST EARTHQUAKES
journal, September 2016

  • Denolle, Marine A.; Shearer, Peter M.
  • Journal of Geophysical Research: Solid Earth, Vol. 121, Issue 9
  • DOI: 10.1002/2016JB013105

Potentially induced earthquakes in Oklahoma, USA: Links between wastewater injection and the 2011 Mw 5.7 earthquake sequence
journal, June 2013

  • Keranen, Katie M.; Savage, Heather M.; Abers, Geoffrey A.
  • Geology, Vol. 41, Issue 6
  • DOI: 10.1130/G34045.1

Sharp increase in central Oklahoma seismicity since 2008 induced by massive wastewater injection
journal, July 2014


The 24 January 2013 ML 4.4 Earthquake near Paradox, Colorado, and Its Relation to Deep Well Injection
journal, May 2014

  • Block, L. V.; Wood, C. K.; Yeck, W. L.
  • Seismological Research Letters, Vol. 85, Issue 3
  • DOI: 10.1785/0220130188

Dynamics of an expanding circular fault
journal, June 1976

  • Madariaga, Raul
  • Bulletin of the Seismological Society of America, Vol. 66, Issue 3
  • DOI: 10.1785/BSSA0660030639

What is Sigma of the Stress Drop?
journal, January 2013

  • Cotton, F.; Archuleta, R.; Causse, M.
  • Seismological Research Letters, Vol. 84, Issue 1
  • DOI: 10.1785/0220120087

The determination of the elastic field of an ellipsoidal inclusion, and related problems
journal, August 1957

  • Eshelby, John Douglas
  • Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 241, Issue 1226, p. 376-396
  • DOI: 10.1098/rspa.1957.0133

Validation of Non-Self-Similar Source Scaling Using Ground Motions from the 2008 Wells, Nevada, Earthquake Sequence
journal, July 2013

  • Yoo, S. -H.; Mayeda, K.
  • Bulletin of the Seismological Society of America, Vol. 103, Issue 4
  • DOI: 10.1785/0120120327

Evidence for non-self-similarity and transitional increment of scaled energy in the 2005 west off Fukuoka seismic sequence
journal, January 2010

  • Yoo, Seung-Hoon; Rhie, Junkee; Choi, Hoseon
  • Journal of Geophysical Research, Vol. 115, Issue B8
  • DOI: 10.1029/2009JB007169

Global variations of stress drop for moderate to large earthquakes: GLOBAL STRESS DROP VARIATIONS
journal, January 2009

  • Allmann, Bettina P.; Shearer, Peter M.
  • Journal of Geophysical Research: Solid Earth, Vol. 114, Issue B1
  • DOI: 10.1029/2008JB005821