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On the Love wave scattering problem for welded layered quarter-spaces with applications

DEPARTMENT OF EARTH SCIENCES UNIVERSITY OF PETROLEUM AND MINERALS, DHAHRAN, Saudi Arabia
DEPARTMENT OF MATHEMATICAL SCIENCES UNIVERSITY OF PETROLEUM AND MINERALS, DHAHRAN, Saudi Arabia

Abstract

In this paper we investigate the two-dimensional diffraction problem associated with the propagation of plane harmonic Love waves, normally incident (from either side) upon the plane of discontinuity in the horizontally discontinuous structure consisting of welded layered quarter-spaces with a plane surface. Formulas for complex reflection and transmission coefficients are obtained for the plane-wave approximation, and their variational improvement is sought through the Schwinger-Levine variational principle in such a way so as to incorporate the contributions caused by body-wave conversion. Numerical computation of the results, under both approximations, indicates that when the impedance contrast across the lateral discontinuity becomes large, the amplitude of the transmitted wave from the hard medium into the soft one can be amplified by more than an order of magnitude at certain frequencies for geologically reasonable structures, and the results may, therefore, be useful in earthquake engineering.

This article has been cited by other articles:

				M. H. KAZI and A. NIAZY Generalization of Higuchi's conditions for Love waves propagating through two welded quarter-spaces with two surface layers on each Bulletin of the Seismological Society of America, August 1, 1983; 73(4): 1023 - 1030. [Abstract] [PDF]

				A. NIAZY and M. H. KAZI On the effect of the higher modes on the scattering of Love waves at the boundary of welded layered quarter-spaces Bulletin of the Seismological Society of America, February 1, 1982; 72(1): 29 - 53. [Abstract] [PDF]