Three-dimensional wave propagation analysis of a smoothly heterogeneous solid

R. Y.S. Pak, B. B. Guzina

Research output: Contribution to journalArticlepeer-review

17 Scopus citations


A method of analysis is presented for three-dimensional wave propagation problems of a vertically-heterogeneous half-space with a linear shear wave velocity profile. With the aid of a displacement-potential representation, Hankel transforms and Fourier decompositions, the dynamic response of the semi-infinite solid to an arbitrarily distributed buried source is shown to admit integral representation in terms of modified Bessel functions. Specific aspects of the problem such as the multiple poles along the inversion path on the complex plane and the characteristics of the wave propagation in the vertical direction are elucidated. Apart from its intrinsic interest, the solution can be degenerated to ring-load and point-load Green's functions which are fundamental to boundary integral equation formulations.

Original languageEnglish (US)
Pages (from-to)533-551
Number of pages19
JournalJournal of the Mechanics and Physics of Solids
Issue number4
StatePublished - Apr 1995
Externally publishedYes


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