Love Waves in a Slab with Rough Boundaries
The earth, like most natural material bodies, is a heterogeneous structure with a rough envelope. In dealing with the theoretical problems of earthquake damage and determining the earth’s structure from seismograms, the usual procedure is to first model the earth by a series of concentric layers around a core, it being assumed that each boundary, including the outer envelope, is a perfect spherical surface. A more radical approximation, often used in connection with surface wave studies, is to take these boundaries to be flat, parallel planes (Fig. 1). In this context, the problem of earthquakes reduces to one of the propagation of elastic waves in a medium whose (piecewise constant) elastic constants are a function of the vertical coordinate only.
KeywordsDispersion Curve Rayleigh Wave Helmholtz Equation Love Wave Helmholtz Equation
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- 2.K. Aki, P.G. Richards: Quantitative Seismology: Theory and Methods, (Freeman, San Francisco 1980) Vol. 2, pp. 751–765Google Scholar