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Instability model for recurring large and great earthquakes in southern California

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Abstract

The locked section of the San Andreas fault in southern California has experienced a number of large and great earthquakes in the past, and thus is expected to have more in the future. To estimate the location, time, and slip of the next few earthquakes, an earthquake instability model is formulated. The model is similar to one recently developed for moderate earthquakes on the San Andreas fault near Parkfield, California. In both models, unstable faulting (the earthquake analog) is caused by failure of all or part of a patch of brittle, strain-softening fault zone. In the present model the patch extends downward from the ground surface to about 12 km depth, and extends 500 km along strike from Parkfield to the Salton Sea. The variation of patch strength along strike is adjusted by trial until the computed sequence of instabilities matches the sequence of large and great earthquakes sincea.d. 1080 reported by Sieh and others. The last earthquake was theM=8.3 Ft. Tejon event in 1857. The resulting strength variation has five contiguous sections of alternately low and high strength. From north to south, the approximate locations of the sections are: (1) Parkfield to Bitterwater Valley, (2) Bitterwater Valley to Lake Hughes, (3) Lake Hughes to San Bernardino, (4) San Bernardino to Palm Springs, and (5) Palm Springs to the Salton Sea. Sections 1, 3, and 5 have strengths between 53 and 88 bars; sections 2 and 4 have strengths between 164 and 193 bars. Patch section ends and unstable rupture ends usually coincide, although one or more adjacent patch sections may fail unstably at once. The model predicts that the next sections of the fault to slip unstably will be 1, 3, and 5; the order and dates depend on the assumed length of an earthquake rupture in about 1700.

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References

  • Bakun, W. H., andMcEvilly, T. V. (1979),Earthquakes near Parkfield, California: Comparing the 1934 and 1966 Sequences, Science, N.Y.205, 1375–1377.

    Google Scholar 

  • Bakun, W. H., andMcEvilly, T. V. (1984),Recurrence Models and Parkfield, California, Earthquakes, J. Geophys. Res.89, 3051–3058.

    Google Scholar 

  • Bird, P., andRosenstock, R. W. (1984),Kinematics of Present Crust and Mantle Flow in Southern California, Bull. Geol. Soc. Am.95, 946–957.

    Google Scholar 

  • Burford, R. O., andHarsh, P. W. (1980),Slip on the San Andreas Fault in Central California from Alinement Array Surveys, Bull Seism. Soc. Am.70, 1233–1261.

    Google Scholar 

  • Chinnery, M. A. (1963),The Stress Changes that Accompany Strike-slip Faulting, Bull. Seism. Soc. Am.53, 921–932.

    Google Scholar 

  • Humphreys, E., andHager, B. H. (1984),Small-scale Convection Beneath the Transverse Ranges, Southern California (abstr), EOS, Trans. Am. Geophys. Un.65, 195.

    Google Scholar 

  • Kosloff, D. D. (1978),Numerical Models of Crustal Deformation (California Institute of Technology, Ph.D. Thesis).

  • Li, V. C., andKisslinger, C. (1984),Stress Transfer and Nonlinear Stress Accumulation at Subduction-type Plate Boundaries-Application to the Aleutians, Pure Appl. Geophys.122, this issue

  • Lisowski, M., andPrescott, W. H. (1981),Short-term Distance Measurements Along the San Andreas Fault System in Central California, 1975 to 1979, Bull. Seism. Soc. Am.71, 1607–1624.

    Google Scholar 

  • Louie, J. N., Allen, C. R., Johnson, D. C., Haase, P. C., andCohn, S. N. (1985),Fault Slip In Southern California, Bull. Seism. Soc. Am.75, in press.

  • Mavko, G. M. (1985),Large-scale Earthquakes from a Laboratory Friction Law, J. Geophys. Res., in press.

  • Rice, J. R. (1983),Constitutive Relations for Fault Slip and Earthquake Instabilities, Pure Appl. Geophys.121, 443–475.

    Google Scholar 

  • Rundle, J. B., andMcNutt, M. (1981),Southern California Uplift — Is It or Isn't It, EOS, Trans. Am. Geophys. Un.62, 97–98.

    Google Scholar 

  • Savage, J. C. (1983),Strain Accumulation in Western United States, Ann. Rev. Earth Planet. Sci.11, 11–43.

    Google Scholar 

  • Schulz, S. S., Mavko, G. M., Burford, R. O., andStuart, W. D. (1982),Long-term Fault Creep Observations in Central California, J. Geophys. Res.87, 6977–6982.

    Google Scholar 

  • Sharp, R. V. (1981),Variable Rates of Late Quaternary Strike Slip on the San Jacinto Fault Zone, Southern California, J. Geophys. Res.86, 1754–1762.

    Google Scholar 

  • Sieh, K. E. (1978),Slip Along the San Andreas Fault Associated with the Great 1857 Earthquake, Bull. Seism. Soc. Am.68, 1421–1448.

    Google Scholar 

  • Sieh, K. E. (1984a),Lateral Offsets and Revised Dates of Large Pre-historic Earthquakes at Pallett Creek, Southern California, J. Geophys. Res.89, 7641–7670.

    Google Scholar 

  • Sieh, K. E. (1984b),Late Holocene Behavior San Andreas Fault, U.S. Geol. Survey Open-File Report84-628, 126–128.

    Google Scholar 

  • Sieh, K. E., andJahns, R. H. (1984),Holocene Activity of the San Andreas Fault at Wallace Creek, California, Bull. Geol. Soc. Am.95, 883–896.

    Google Scholar 

  • Stuart, W. D. (1979),Strain-softening Instability Model for the San Fernando Earthquake, Science, N.Y.203, 907–910.

    Google Scholar 

  • Stuart, W. D. (1981),Stiffness Method for Forecasting Earthquakes, Bull. Seism. Soc. Am.71, 363–370.

    Google Scholar 

  • Stuart, W. D., andMavko, G. M. (1979),Earthquake Instability on a Strike-slip Fault, J. Geophys. Res.84, 2153–2160.

    Google Scholar 

  • Stuart, W. D., Archuleta, R. J., andLindh, A. G. (1985),Forecast Model for Moderate Earthquakes near Parkfield, California, J. Geophys. Res.90, 592–604.

    Google Scholar 

  • Sykes, L. R., andNishenko, S. P. (1984),Probabilities of Occurrence of Large Plate Rupturing Earthquakes for the San Andreas, San Jacinto, and Imperial Faults, California, 1983–2003, J. Geophys. Res.89, 5905–5927.

    Google Scholar 

  • Toppozada, T. R., Real, C. R., andParke, D. L. (1981),Preparation of Isoseismal Maps and Summaries of Reported Effects for pre-1900 California Earthquakes, Calif. Div. Mines Geol. Open File Rep.81-11 SAC, 182 pp.

  • Townley, S. D., andAllen, M. W. (1939),Descriptive Catalog of Earthquakes of the Pacific Coast of the United States 1769 to 1928, Bull. Seism. Soc. Am.29, 1–297.

    Google Scholar 

  • Weldon, R. J. (1984),Implications of the Age and Distribution of the Late Cenozoic Stratigraphy in Cajon Pass, Southern California, inSan Andreas Fault-Cajon Pass to Wrightwood (eds. R. L. Hester and D. E. Halliger), Pacific Section A.A.P.G. Guidebook 55, 9–16.

  • Weldon, R. J., andSieh, K. E. (1985),Holocene Rate of Slip and Tentative Recurrence Interval for Large Earthquakes on the San Andreas Fault in Cajon Pass, Southern California, Bull. Geol. Soc. Am., in press.

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Stuart, W.D. Instability model for recurring large and great earthquakes in southern California. PAGEOPH 122, 793–811 (1984). https://doi.org/10.1007/BF00876385

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