A COMPUTER PROGAM FOR COMPUTING SISMIC WAVE REFLECTION AND TRANSMISSION COEFFICIENTS OF A SINGLE INTERFACE
Abstract
Reflection and transmission properties of a single interface form the basic step in understanding and solving many problems of seismic waves propagation in multilayered media. The computational procedure of these coefficients is an essential element for numerical modeling or simulation purposes. A computer program for computing seismic wave reflection and transmission coefficients of a single interface has been effectively performed using the Gauss-Jordan elimination technique which is operated on a 4x 4 system of simultaneous linear equations with complex elements. The simultaneous equations have been ar ranged in matribx from. Elements of the matrix are obtained from the application of the boundary conditions to the solution of the seismic wave equations. The reflection and transmission coefficients for the compressional and shear waves constitute the unknowns of the simultaneous linear equations. Experiments using the program demonstrate the efficiency and the precislon of this procedure.
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Achenbach, J.D. 1973, Wave Propagution in Elastie Solidr, North-Holland Publishing Co, Amster- dam.
Aki, K. and Richards, P.G., 1980, Quantitative Seis- mology, Vol. I, Theory and Methodr, W.H. Freeman, San Fransisco.
Ben Menahem, A. and SIH, SJ., 1981, Seimic Waves and Sources, Springer-Verlag, New York.
Brekhovskikh, LM., 1960, Waver in Layered Media, Academic Press, New York. Cerveny, V. and Ravindra, R., 1971, Theory of Seis- mic Head Waves, Univernity of Toronto Press, Toronto.
Cerveny, V., Molotkov, LA. and Psencik, L, 1977, Ray Method In Selsmology, Universita Karlo- va, Praha, Toronto.
Ewing, M.W., Jardetsky, W.S. and Press, F., 1957, Elastic Waves in Layered Media, Mc Graw-Hill, New York. Frasier, C.W., 1970, "Discrete time solution of plane P-SV Waves in plane layered medium", Geo- physict 35, 197-219.
Guttenberg, B., 1944, "Energy ratio of reflected und refracted seismic waves", Bulletin of Selsmol- ogical Society of America 34, 85-102.
Kennett, B.L.N. 1983, Seismic Wave Propagation in Stratified Media, Cambridge University Press, Cambridge.
Knott, C.G., 1899, "Reflection and refraction of elas- tic waves, with seismological application", Philosophical Magazine (London) 48, 64-97, 567-569
Koefoed, O., 1962, "Reflection and transmission co- efficients for plane longitudinal incident waves", Geophysical Prospecting 10, 304 - 35.
Kolsky, H., 1963, Stress Waves in Solids, Dover, New York.
Morgan, T.R., 1983, Foundation of Wave Theory for Seismic Exploration, International Human Re- sources Development Corporation, Boston.
Muskat, M. and Meres, M.W., 1940, "Reflection and transmission coefficients for plane waves in elastic media", Geophysicr 5, 115 148,
Pilant, W.L, 1979, Elastic Waves in the Earth, Else- vier, Amsterdam.
Young, G.B. and Braile, L.W., 1976, "A computer program for the application of Zoeppritz's amplitude equations and Knott's energy equa- tions", Bullerin of the Seismological Soclety of America 66, 1881-1883.
DOI: https://doi.org/10.29017/SCOG.8.2.1161
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