Shear velocity inversion procedure for love waves

• Autorzy: Zaman, F. D. , Masod, K.
• Języki publikacji: EN

Abstrakty

EN

An inverse solution is presented to the seismic inverse problem for one-dimensional shear velocity variations. The Love waves, travelling in a layer overlying a half-space incident upon delta-function potential, are considered. The equation of motion for Love waves is transformed to the Schrodinger equation and then the potential is recovered by applying Gelfand-Levitan and Marchenko procedure.

Słowa kluczowe

PL

fala Love'a; zagadnienie odwrotne; równanie Schrodingera; fala sejsmiczna; równanie ruchu

EN

Love wave; inverse problem; Schrödinger equation; seismic wave; equation of motion; seismic inverse problem

• Czasopismo: Journal of Technical Physics
• Rocznik: 2003
• Tom: Vol. 44, no 3
• Strony: 295-301
• Opis fizyczny: Bibliogr. 10 poz., rys.

Twórcy

autor

Zaman, F. D.

• Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia,

autor

Masod, K.

• Hafr Al-Batin Community College, King Fahd University of Petroleum and Minerals, P.O. Box 5087, Dhahran 31261, Saudi Arabia,

Bibliografia

• 1. K. AKI, P.G. RICHARDS, Quantitative seismology: theory and methods, Freeman, 1980.
• 2. N. BLEISTEIN, J.K. COHEN, H. JARAMILLO, True amplitude transformation to zero offset of data from curved reflectors, Geophysics, 64, 112-129, 1999.
• 3. J.F. CLAERBOUT, Towards a unified theory of reflector mapping, Geophysics, 36, 467-481, 1971.
• 4. J.K. COHEN, N. BLEISTEIN, An inverse method for determining small variations in propagation speed, Soc. Ind. Appl. Math., 32, 4, 784-799, 1977.
• 5. J.K. COHEN, N. BLEISTEIN, Velocity inversion procedure for acoustic waves, Geophysics, 44, 6, 1077-1087, 1979.
• 6. I.M. GELFAND, B.M. LEVITAN, On the determination of a differential equation by its spectral function, American Math. Soc. Trans., 1, 253-304, 1955.
• 7. S.H. GRAY, Frequency-selective design of the Kirchhoff migration operator, Geophysics, 40, 5, 565-572, 1992.
• 8. I. KAY, H.E. MOSES, Inverse scattering papers 1955-1963 (Lie groups: history, frontiers and applications Vol. IS), Brookline, M.A.: Math. Sci. Press, 1993.
• 9. C.L. LINER, Born theory of wave equation dip moveout, Geophysics, 56, 182-189, 1991.
• 10. V.A. MARCHENKO, Concerning the theory of a differential operator of second order, Doklady Akad. Nauk. SSSR, 72, 457-460, 1950.