Calculation of ground motion in a three-dimensional model of the 1966 Parkfield earthquake

Near-field ground displacements are calculated from an earthquake source in a homogeneous, elastic half-space. An analytical formulation of the problem is presented that requires no physical approximations except at the source. A model of the source is constructed by retaining the essential kinematic character of the faulting process. A computer program is developed to calculate ground motion from an assumed model of the 1966 Parkfield, California earthquake. Favorable agreement is obtained between the theoretically computed ground displacements and those derived from the recorded accelerations. The relative contributions of the body waves and surface waves to the displacement field are examined. The results indicate that a significant portion of near-field motion may consist of surface waves, especially in the vertical component of the ground motion.

[1]  A. Sommerfeld Über die Ausbreitung der Wellen in der drahtlosen Telegraphie , 1909 .

[2]  E. R. Lapwood The disturbance due to a line source in a semi-infinite elastic medium , 1949, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[3]  Freeman Gilbert,et al.  Radiation from a strike-slip fault , 1959 .

[4]  L. Knopoff,et al.  First motions from seismic sources , 1960 .

[5]  Leon Knopoff,et al.  Body Force Equivalents for Seismic Dislocations , 1964 .

[6]  J. C. Savage Radiation from a realistic model of faulting , 1966 .

[7]  Ajit K. Mal,et al.  Elastic Wave Velocities in Two-component Systems , 1967 .

[8]  W. Bakun,et al.  The Parkfield, California, earthquakes of 1966 , 1967 .

[9]  K. Aki Seismic displacements near a fault , 1968 .

[10]  J. D. Eshelby The elastic field of a crack extending non-uniformly under general anti-plane loading , 1969 .

[11]  N. A. Haskell Elastic displacements in the near-field of a propagating fault , 1969 .

[12]  M. E. O'neill,et al.  Aftershocks of the 1966 Parkfield-Cholame, California, earthquake: A detailed study , 1970 .

[13]  M. Trifunac,et al.  Response envelope spectrum and interpretation of strong earthquake ground motion , 1971, Bulletin of the Seismological Society of America.

[14]  Mihailo D. Trifunac,et al.  Zero baseline correction of strong-motion accelerograms , 1971, Bulletin of the Seismological Society of America.

[15]  M. Toksöz,et al.  Static and dynamic study of earthquake source mechanism: San Fernando Earthquake , 1972 .

[16]  N. A. Haskell,et al.  Elastodynamic near-field of a finite, propagating tensile fault : SEISMOL. SOC. AMER. BULL. V62, N3, 1972, P675–697 , 1972 .

[17]  Rayleigh waves from a moving thrust fault , 1972 .

[18]  Elastodynamic near field of a finite propagating transverse shear fault , 1972 .

[19]  T. Mikumo Faulting process of the San Fernando earthquake of February 9, 1971 inferred from static and dynamic near-field displacements , 1973, Bulletin of the Seismological Society of America.

[20]  Mihailo D. Trifunac,et al.  A three dimensional dislocation model for the San Fernando, California, earthquake of February 9, 1971 10F, 3T, 42R Bull. Seism. Soc. Am. V64, N1, Feb. 1974, P149–172 , 1974 .

[21]  David M. Boore,et al.  Near-field motions from kinematic models of propagating faults , 1974 .

[22]  F. E. Udwadia,et al.  Parkfield, California, earthquake of June 27, 1966: A three-dimensional moving dislocation , 1974, Bulletin of the Seismological Society of America.