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Seismic surface wave propagation in three-dimensional finite-element structures

DEPARTMENT OF GEOSCIENCE AND GEOPHYSICAL RESEARCH CENTERNEW MEXICO INSTITUTE OF MINING AND TECHNOLOGY, SOCORRO, NEW MEXICO 87801

Abstract

The boundary stiffness matrix necessary for satisfying the boundary conditions for surface wave propagation between a regular and irregular zone in three-dimensional, finite-element structures is [R] = – {i[A][V][K][V]^–1 + [E]}, where and the matrices [A],[V], and [K] are obtained from the analysis of the regular zone. The elements of the matrix [E] are given in this paper.

For problems with energy transmission generally parallel to side boundaries, zero-stress ("free") boundary conditions yield accurate results. Results from a model of a continent-ocean transition with angles of incidence of 0° and 45° agree, in general, with those of Gregersen and Alsop (1974) and Gregersen (1978), but disagree in some important details.