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SEISMOLOGICAL LABORATORY CALIFORNIA INSTITUTE OF TECHNOLOGY, PASADENA, CALIFORNIA, DIVISION OF THE GEOLOGICAL SCIENCES
Abstract
A matrix formulation is used to derive integral expressions for the time transformed displacement fields produced by simple sources at any depth in a multilayered elastic isotropic solid half-space. The integrals are evaluated for their residue contribution to obtain surface wave displacements in the frequency domain. The solutions are then generalized to include the effect of a surface liquid layer. The theory includes the effect of layering and source depth for the following: (1) Rayleigh waves from an explosive source, (2) Rayleigh waves from a vertical point force, (3) Rayleigh and Love waves from a vertical strike slip fault model. The latter source also includes the effect of fault dimensions and rupture velocity. From these results we are able to show certain reciprocity relations for surface waves which had been previously proved for the total displacement field. The theory presented here lays the ground work for later papers in which theoretical seismograms are compared with observations in both the time and frequency domain.
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S. H. HARTZELL, J. N. BRUNE, and J. PRINCE The October 6, 1974 Acapulco earthquake: An example of the importance of short-period surface waves in strong ground motion Bulletin of the Seismological Society of America, December 1, 1978; 68(6): 1663 - 1677. [Abstract] [PDF]
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J. E. EBEL, L. J. BURDICK, and G. S. STEWART The source mechanism of the August 7, 1966 El Golfo earthquake Bulletin of the Seismological Society of America, October 1, 1978; 68(5): 1281 - 1292. [Abstract] [PDF]
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T. C. BACHE, W. L. RODI, and D. G. HARKRIDER Crustal structures inferred from Rayleigh-wave signatures of NTS explosions Bulletin of the Seismological Society of America, October 1, 1978; 68(5): 1399 - 1413. [Abstract] [PDF]
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H. J. SWANGER and D. M. BOORE Simulation of strong-motion displacements using surface-wave modal superposition Bulletin of the Seismological Society of America, August 1, 1978; 68(4): 907 - 922. [Abstract] [PDF]
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C. A. LANGSTON The February 9, 1971 San Fernando earthquake: A study of source finiteness in teleseismic body waves Bulletin of the Seismological Society of America, February 1, 1978; 68(1): 1 - 29. [Abstract] [PDF]
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C. A. LANGSTON and D. E. BLUM The April 29, 1965, Puget Sound earthquake and the crustal and upper mantle structure of western Washington Bulletin of the Seismological Society of America, June 1, 1977; 67(3): 693 - 711. [Abstract] [PDF]
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T. C. BACHE and D. G. HARKRIDER The body waves due to a general seismic source in a layered earth model: 1. Formulation of the theory Bulletin of the Seismological Society of America, December 1, 1976; 66(6): 1805 - 1819. [Abstract] [PDF]
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R. J. GELLER Scaling relations for earthquake source parameters and magnitudes Bulletin of the Seismological Society of America, October 1, 1976; 66(5): 1501 - 1523. [Abstract] [PDF]
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R. S. SIDHU First motions from seismic sources in a semi-infinite homo-geneous medium overlain by an inhomogeneous layer Bulletin of the Seismological Society of America, October 1, 1975; 65(5): 1435 - 1460. [Abstract] [PDF]
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C. A. LANGSTON and D. V. HELMBERGER Interpretation of body and Rayleigh waves from NTS to Tucson Bulletin of the Seismological Society of America, December 1, 1974; 64(6): 1919 - 1929. [Abstract] [PDF]
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M. VERED and A. BEN-MENAHEM Application of synthetic seismograms to the study of low-magnitude earthquakes and crustal structure in the northern Red Sea region Bulletin of the Seismological Society of America, August 1, 1974; 64(4): 1221 - 1237. [Abstract] [PDF]
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R. L. KOVACH Source mechanisms for Wilmington Oil Field, California, subsidence earthquakes Bulletin of the Seismological Society of America, June 1, 1974; 64(3-1): 699 - 711. [Abstract] [PDF]
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D. V. HELMBERGER Generalized ray theory for shear dislocations Bulletin of the Seismological Society of America, February 1, 1974; 64(1): 45 - 64. [Abstract] [PDF]
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K. AKI, M. BOUCHON, and P. REASENBERG Seismic source function for an underground nuclear explosion Bulletin of the Seismological Society of America, February 1, 1974; 64(1): 131 - 148. [Abstract] [PDF]
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A. BEN-MENAHEM and M. VERED Extension and interpretation of the Cagniard-Pekeris method for dislocation sources Bulletin of the Seismological Society of America, October 1, 1973; 63(5): 1611 - 1636. [Abstract] [PDF]
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H. S. HASEGAWA Surface- and body-wave spectra of CANNIKIN and shallow Aleutian earthquakes Bulletin of the Seismological Society of America, August 1, 1973; 63(4): 1201 - 1225. [Abstract] [PDF]
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E. KAUSEL and F. SCHWAB Contributions to love-wave transformation theory: Earth-flattening transformation for love waves from a point source in a sphere Bulletin of the Seismological Society of America, June 1, 1973; 63(3): 983 - 993. [Abstract] [PDF]
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M. N. TOKSOZ and H. H. KEHRER Tectonic strain-release characteristics of CANNIKIN Bulletin of the Seismological Society of America, December 1, 1972; 62(6): 1425 - 1438. [Abstract] [PDF]
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M. N. TOKSOZ, K. C. THOMSON, and T. J. AHRENS Generation of seismic waves by explosions in prestressed media Bulletin of the Seismological Society of America, December 1, 1971; 61(6): 1589 - 1623. [Abstract] [PDF]
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S. J. SINGH Deformation of a multilayered half-space by stress dislocations and concentrated forces Bulletin of the Seismological Society of America, December 1, 1971; 61(6): 1625 - 1637. [Abstract] [PDF]
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N. CANITEZ and M. NAFI TOKSOZ Focal mechanism and source depth of earthquakes from body- and surface-wave data Bulletin of the Seismological Society of America, October 1, 1971; 61(5): 1369 - 1379. [Abstract] [PDF]
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A. M. DAINTY Leaking modes in a crust with a surface layer Bulletin of the Seismological Society of America, February 1, 1971; 61(1): 93 - 107. [Abstract] [PDF]
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D. G. HARKRIDER Surface waves in multilayered elastic media. Part II. Higher mode spectra and spectral ratios from point sources in plane layered Earth models Bulletin of the Seismological Society of America, December 1, 1970; 60(6): 1937 - 1987. [Abstract] [PDF]
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S. K. GUHA The effect of focal depth on the spectra of P waves I. Theoretical formulation Bulletin of the Seismological Society of America, October 1, 1970; 60(5): 1437 - 1456. [Abstract] [PDF]
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J. CAPON Analysis of Rayleigh-wave multipath propagation at LASA Bulletin of the Seismological Society of America, October 1, 1970; 60(5): 1701 - 1731. [Abstract] [PDF]
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Y.-B. TSAI and K. AKI Source mechanism of the Truckee, California, earthquake of September 12 1966 Bulletin of the Seismological Society of America, August 1, 1970; 60(4): 1199 - 1208. [Abstract] [PDF]
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A. BEN-MENAHEM, M. ROSENMAN, and D. G. HARKRIDER Fast evaluation of source parameters from isolated surface-wave signals: Part I. Universal tables Bulletin of the Seismological Society of America, August 1, 1970; 60(4): 1337 - 1387. [Abstract] [PDF]
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F. SCHWAB and L. KNOPOFF Surface-wave dispersion computations Bulletin of the Seismological Society of America, April 1, 1970; 60(2): 321 - 344. [Abstract] [PDF]
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D. VON SEGGERN The effects of radiation patterns on magnitude estimates Bulletin of the Seismological Society of America, April 1, 1970; 60(2): 503 - 516. [Abstract] [PDF]
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Y.-B. TSAI and K. AKI Simultaneous determination of the seismic moment and attenuation of seismic surface waves Bulletin of the Seismological Society of America, February 1, 1969; 59(1): 275 - 287. [Abstract] [PDF]
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A. BEN-MENAHEM, H. JAROSCH, and M. ROSENMAN Large scale processing of seismic data in search of regional and global stress patterns Bulletin of the Seismological Society of America, December 1, 1968; 58(6): 1899 - 1932. [Abstract] [PDF]
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D. G. HARKRIDER The perturbation of Love wave spectra Bulletin of the Seismological Society of America, June 1, 1968; 58(3): 861 - 880. [Abstract] [PDF]
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U. CHANDRA Theory of head waves for focal mechanism studies Bulletin of the Seismological Society of America, June 1, 1968; 58(3): 993 - 1019. [Abstract] [PDF]
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K. KOGEUS (KORKMAN) A synthesis of short-period P-wave records from distant explosion sources Bulletin of the Seismological Society of America, April 1, 1968; 58(2): 663 - 680. [Abstract] [PDF]
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S. K. CHAKRABARTY Propagation of waves in a multilayered elastic medium and their dependence on source mechanisms Bulletin of the Seismological Society of America, December 1, 1967; 57(6): 1449 - 1465. [Abstract] [PDF]
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J. CL. DE BREMAECKER Body waves as normal and leaking modes. Part I: Introduction Bulletin of the Seismological Society of America, April 1, 1967; 57(2): 191 - 198. [Abstract] [PDF]
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N. J. VLAAR The field from an SH point source in a continuously layered inhomogeneous half-space: II. The field in a half-space Bulletin of the Seismological Society of America, December 1, 1966; 56(6): 1305 - 1315. [Abstract] [PDF]
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N. J. VLAAR The field from an SH-point source in a continuously layered inhomogeneous medium: I. The field in a layer of finite depth Bulletin of the Seismological Society of America, June 1, 1966; 56(3): 715 - 724. [Abstract] [PDF]
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F. T. WU and W. J. HANNON PP and crustal structure Bulletin of the Seismological Society of America, June 1, 1966; 56(3): 733 - 747. [Abstract] [PDF]
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K. FUCHS The transfer function for P-waves for a system consisting of a point source in a layered medium Bulletin of the Seismological Society of America, February 1, 1966; 56(1): 75 - 108. [Abstract] [PDF]
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A. ROY On the general solution of elastic wave equations in a homogeneous medium with applications to the study of earthquake source mechanisms Bulletin of the Seismological Society of America, April 1, 1965; 55(2): 283 - 301. [Abstract] [PDF]
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J. W. DUNKIN Computation of modal solutions in layered, elastic media at high frequencies Bulletin of the Seismological Society of America, April 1, 1965; 55(2): 335 - 358. [Abstract] [PDF]
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A. BEN-MENAHEM Spectral response of an elastic sphere to dipolar point-sources Bulletin of the Seismological Society of America, October 1, 1964; 54(5A): 1323 - 1340. [Abstract] [PDF]
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