Epicentre solutions for point multipole sources in an elastic half-space
- 14 August 1979
- journal article
- Published by IOP Publishing in Journal of Physics D: Applied Physics
- Vol. 12 (8) , 1309-1315
- https://doi.org/10.1088/0022-3727/12/8/010
Abstract
Expressions given previously for the dynamic elastic Green's function of a half-space have been in the form of a single integral. These expressions clearly reduce to closed analytic forms when the field (receiver) point is at the epicentre, but have not formerly been written out. Broad-band acoustic emission experiments have now provided motivation to do so. A formalism due to Willis (1973) is used to obtain analytic expressions for the space derivatives, to any order, of the displacement field below a point impulsive force to the surface of a half-space. A reciprocal theorem then yields the epicentre surface displacements due to a buried point force multipole source. A few examples are illustrated graphically.Keywords
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