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Bulletin of the Seismological Society of America; August 1994; v. 84; no. 4; p. 974-1002
© 1994 Seismological Society of America
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New empirical relationships among magnitude, rupture length, rupture width, rupture area, and surface displacement

Donald L. Wells and Kevin J. Coppersmith

Geomatrix Consultants, Inc., San Francisco, California 94111

Abstract

Source parameters for historical earthquakes worldwide are compiled to develop a series of empirical relationships among moment magnitude (M), surface rupture length, subsurface rupture length, downdip rupture width, rupture area, and maximum and average displacement per event. The resulting data base is a significant update of previous compilations and includes the additional source parameters of seismic moment, moment magnitude, subsurface rupture length, downdip rupture width, and average surface displacement. Each source parameter is classified as reliable or unreliable, based on our evaluation of the accuracy of individual values. Only the reliable source parameters are used in the final analyses. In comparing source parameters, we note the following trends: (1) Generally, the length of rupture at the surface is equal to 75% of the subsurface rupture length; however, the ratio of surface rupture length to subsurface rupture length increases with magnitude; (2) the average surface displacement per event is about one-half the maximum surface displacement per event; and (3) the average subsurface displacement on the fault plane is less than the maximum surface displacement but more than the average surface displacement. Thus, for most earthquakes in this data base, slip on the fault plane at seismogenic depths is manifested by similar displacements at the surface. Log-linear regressions between earthquake magnitude and surface rupture length, subsurface rupture length, and rupture area are especially well correlated, showing standard deviations of 0.25 to 0.35 magnitude units. Most relationships are not statistically different (at a 95% significance level) as a function of the style of faulting: thus, we consider the regressions for all slip types to be appropriate for most applications. Regressions between magnitude and displacement, magnitude and rupture width, and between displacement and rupture length are less well correlated and have larger standard deviation than regressions between magnitude and length or area. The large number of data points in most of these regressions and their statistical stability suggest that they are unlikely to change significantly in response to additional data. Separating the data according to extensional and compressional tectonic environments neither provides statistically different results nor improves the statistical significance of the regressions. Regressions for cases in which earthquake magnitude is either the independent or the dependent parameter can be used to estimate maximum earthquake magnitudes both for surface faults and for subsurface seismic sources such as blind faults, and to estimate the expected surface displacement along a fault for a given size earthquake.




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GeosphereHome page
P. Bird
Uncertainties in long-term geologic offset rates of faults: General principles illustrated with data from California and other western states
Geosphere, December 1, 2007; 3(6): 577 - 595.
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Seismological  Research LettersHome page
R. Bilham, S. Lodi, S. Hough, S. Bukhary, A. M. Khan, and S. F. A. Rafeeqi
Seismic Hazard in Karachi, Pakistan: Uncertain Past, Uncertain Future
Seismological Research Letters, November 1, 2007; 78(6): 601 - 613.
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Bulletin of the Seismological Society of AmericaHome page
C. M. Snelson, T. M. Brocher, K. C. Miller, T. L. Pratt, and A. M. Trehu
Seismic Amplification within the Seattle Basin, Washington State: Insights from SHIPS Seismic Tomography Experiments
Bulletin of the Seismological Society of America, October 1, 2007; 97(5): 1432 - 1448.
[Abstract] [Full Text] [PDF]


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Bulletin of the Seismological Society of AmericaHome page
P. Gu and Y. K. Wen
A Record-Based Method for the Generation of Tridirectional Uniform Hazard-Response Spectra and Ground Motions Using the Hilbert-Huang Transform
Bulletin of the Seismological Society of America, October 1, 2007; 97(5): 1539 - 1556.
[Abstract] [Full Text] [PDF]


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Bulletin of the Seismological Society of AmericaHome page
F. Pettenati and L. Sirovich
Validation of the Intensity-Based Source Inversions of Three Destructive California Earthquakes
Bulletin of the Seismological Society of America, October 1, 2007; 97(5): 1587 - 1606.
[Abstract] [Full Text] [PDF]


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Bulletin of the Seismological Society of AmericaHome page
S. F. Personius, A. J. Crone, M. N. Machette, S. A. Mahan, J. B. Kyung, H. Cisneros, and D. J. Lidke
Late Quaternary Paleoseismology of the Southern Steens Fault Zone, Northern Nevada
Bulletin of the Seismological Society of America, October 1, 2007; 97(5): 1662 - 1678.
[Abstract] [Full Text] [PDF]


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Bulletin of the Seismological Society of AmericaHome page
M. Pagani and A. Marcellini
Seismic-Hazard Disaggregation: A Fully Probabilistic Methodology
Bulletin of the Seismological Society of America, October 1, 2007; 97(5): 1688 - 1701.
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Bulletin of the Seismological Society of AmericaHome page
S. P. Vilanova and J. F. B. D. Fonseca
Probabilistic Seismic-Hazard Assessment for Portugal
Bulletin of the Seismological Society of America, October 1, 2007; 97(5): 1702 - 1717.
[Abstract] [Full Text] [PDF]


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Seismological  Research LettersHome page
C.-Y. Wang
Liquefaction beyond the Near Field
Seismological Research Letters, September 1, 2007; 78(5): 512 - 517.
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GeologyHome page
D. M. Soto, P. Mann, A. Escalona, and L. J. Wood
Late Holocene strike-slip offset of a subsurface channel interpreted from three-dimensional seismic data, eastern offshore Trinidad
Geology, September 1, 2007; 35(9): 859 - 862.
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Bulletin de la Societe Geologique de FranceHome page
S. Baize, M. Coulon, C. Hibsch, M. Cushing, F. Lemeille, and E. Hamard
Non-tectonic deformations of Pleistocene sediments in the eastern Paris basin, France
Bulletin de la Societe Geologique de France, September 1, 2007; 178(5): 367 - 381.
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GeologyHome page
A. Elias, P. Tapponnier, S. C. Singh, G. C.P. King, A. Briais, M. Daeron, H. Carton, A. Sursock, E. Jacques, R. Jomaa, et al.
Active thrusting offshore Mount Lebanon: Source of the tsunamigenic A.D. 551 Beirut-Tripoli earthquake
Geology, August 1, 2007; 35(8): 755 - 758.
[Abstract] [Full Text] [PDF]


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Bulletin of the Seismological Society of AmericaHome page
E. H. Field
A Summary of Previous Working Groups on California Earthquake Probabilities
Bulletin of the Seismological Society of America, August 1, 2007; 97(4): 1033 - 1053.
[Abstract] [Full Text] [PDF]


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Bulletin of the Seismological Society of AmericaHome page
K. Megawati
Hybrid Simulations of Ground Motions from Local Earthquakes Affecting Hong Kong
Bulletin of the Seismological Society of America, August 1, 2007; 97(4): 1293 - 1307.
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Bulletin of the Seismological Society of AmericaHome page
U. Fracassi and G. Valensise
Unveiling the Sources of the Catastrophic 1456 Multiple Earthquake: Hints to an Unexplored Tectonic Mechanism in Southern Italy
Bulletin of the Seismological Society of America, June 1, 2007; 97(3): 725 - 748.
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Bulletin of the Seismological Society of AmericaHome page
M. Daeron, Y. Klinger, P. Tapponnier, A. Elias, E. Jacques, and A. Sursock
12,000-Year-Long Record of 10 to 13 Paleoearthquakes on the Yammouneh Fault, Levant Fault System, Lebanon
Bulletin of the Seismological Society of America, June 1, 2007; 97(3): 749 - 771.
[Abstract] [Full Text] [PDF]


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Bulletin of the Seismological Society of AmericaHome page
M. B. Sorensen, L. Ottemoller, J. Havskov, K. Atakan, B. Hellevang, and R. B. Pedersen
Tectonic Processes in the Jan Mayen Fracture Zone Based on Earthquake Occurrence and Bathymetry
Bulletin of the Seismological Society of America, June 1, 2007; 97(3): 772 - 779.
[Abstract] [Full Text] [PDF]


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GeosphereHome page
T. Numelin, E. Kirby, J. D. Walker, and B. Didericksen
Late Pleistocene slip on a low-angle normal fault, Searles Valley, California
Geosphere, June 1, 2007; 3(3): 163 - 176.
[Abstract] [Full Text] [PDF]


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Bulletin of the Seismological Society of AmericaHome page
J. B. Willis, P. J. Haeussler, R. L. Bruhn, and G. C. Willis
Holocene Slip Rate for the Western Segment of the Castle Mountain Fault, Alaska
Bulletin of the Seismological Society of America, June 1, 2007; 97(3): 1019 - 1024.
[Abstract] [Full Text] [PDF]


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Geological Society of America BulletinHome page
P. Villamor, R. Van Dissen, B. V. Alloway, A. S. Palmer, and N. Litchfield
The Rangipo fault, Taupo rift, New Zealand: An example of temporal slip-rate and single-event displacement variability in a volcanic environment
Geological Society of America Bulletin, May 1, 2007; 119(5-6): 529 - 547.
[Abstract] [Full Text] [PDF]


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Bulletin of the Seismological Society of AmericaHome page
J. Guo, A. Lin, G. Sun, and J. Zheng
Surface Ruptures Associated with the 1937 M 7.5 Tuosuo Lake and the 1963 M 7.0 Alake Lake Earthquakes and the Paleoseismicity along the Tuosuo Lake Segment of the Kunlun Fault, Northern Tibet
Bulletin of the Seismological Society of America, April 1, 2007; 97(2): 474 - 496.
[Abstract] [Full Text] [PDF]


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Bulletin of the Seismological Society of AmericaHome page
J. M. Gaspar-Escribano and B. Benito
Ground-Motion Characterization of Low-to-Moderate Seismicity Zones and Implications for Seismic Design: Lessons from Recent Mw ~4.8 Damaging Earthquakes in Southeast Spain
Bulletin of the Seismological Society of America, April 1, 2007; 97(2): 531 - 544.
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Bulletin of the Seismological Society of AmericaHome page
W.-S. Chen, C.-C. Yang, I-C. Yen, L.-S. Lee, K.-J. Lee, H.-C. Yang, H.-C. Chang, Y. Ota, C.-W. Lin, W.-H. Lin, et al.
Late Holocene Paleoseismicity of the Southern Part of the Chelungpu Fault in Central Taiwan: Evidence from the Chushan Excavation Site
Bulletin of the Seismological Society of America, February 1, 2007; 97(1B): 1 - 13.
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Bulletin of the Seismological Society of AmericaHome page
J. Liu-Zeng, Y. Klinger, X. Xu, C. Lasserre, G. Chen, W. Chen, P. Tapponnier, and B. Zhang
Millennial Recurrence of Large Earthquakes on the Haiyuan Fault near Songshan, Gansu Province, China
Bulletin of the Seismological Society of America, February 1, 2007; 97(1B): 14 - 34.
[Abstract] [Full Text] [PDF]


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Bulletin of the Seismological Society of AmericaHome page
C. Benetatos, D. Dreger, and A. Kiratzi
Complex and Segmented Rupture Associated with the 14 August 2003 Mw 6.2 Lefkada, Ionian Islands, Earthquake
Bulletin of the Seismological Society of America, February 1, 2007; 97(1B): 35 - 51.
[Abstract] [Full Text] [PDF]


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Geological Society of America Special PapersHome page
T. Camelbeeck, K. Vanneste, P. Alexandre, K. Verbeeck, T. Petermans, P. Rosset, M. Everaerts, R. Warnant, and M. Van Camp
Relevance of active faulting and seismicity studies to assessments of long-term earthquake activity and maximum magnitude in intraplate northwest Europe, between the Lower Rhine Embayment and the North Sea
Geological Society of America Special Papers, January 1, 2007; 425(0): 193 - 224.
[Abstract] [Full Text] [PDF]


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Seismological  Research LettersHome page
M. C. Gerstenberger, L. M. Jones, and S. Wiemer
Short-term Aftershock Probabilities: Case Studies in California
Seismological Research Letters, January 1, 2007; 78(1): 66 - 77.
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Seismological  Research LettersHome page
A. Helmstetter, Y. Y. Kagan, and D. D. Jackson
High-resolution Time-independent Grid-based Forecast for M >= 5 Earthquakes in California
Seismological Research Letters, January 1, 2007; 78(1): 78 - 86.
[Full Text] [PDF]


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AAPG BulletinHome page
S. J. Wilkins and S. J. Naruk
Quantitative analysis of slip-induced dilation with application to fault seal
AAPG Bulletin, January 1, 2007; 91(1): 97 - 113.
[Abstract] [Full Text] [PDF]


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Bulletin of the Seismological Society of AmericaHome page
E. L. Geist, V. V. Titov, D. Arcas, F. F. Pollitz, and S. L. Bilek
Implications of the 26 December 2004 Sumatra-Andaman Earthquake on Tsunami Forecast and Assessment Models for Great Subduction-Zone Earthquakes
Bulletin of the Seismological Society of America, January 1, 2007; 97(1A): S249 - S270.
[Abstract] [Full Text] [PDF]


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Geological Society, London, Special PublicationsHome page
N. H. Woodcock, J. A. D. Dickson, and J. P. T. Tarasewicz
Transient permeability and reseal hardening in fault zones: evidence from dilation breccia textures
Geological Society, London, Special Publications, January 1, 2007; 270(1): 43 - 53.
[Abstract] [PDF]


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Geological Society, London, Special PublicationsHome page
T. Taymaz, T. J. Wright, S. Yolsal, O. Tan, E. Fielding, and G. Seyitoglu
Source characteristics of the 6 June 2000 Orta Cankiri (central Turkey) earthquake: a synthesis of seismological, geological and geodetic (InSAR) observations, and internal deformation of the Anatolian plate
Geological Society, London, Special Publications, January 1, 2007; 291(1): 259 - 290.
[Abstract] [Full Text] [PDF]




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