Multipolar elastic fields in a layered half space

Ben-Menahem, Ari ; Singh, Sarva Jit (1968) Multipolar elastic fields in a layered half space Bulletin of the Seismological Society of America, 58 (5). pp. 1519-1572. ISSN 0037-1106

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Hansen's expansion is used to derive integral expressions for the displacement field due to a localized buried source of the mth order in a layered half space. The dipolar case (m ≦ 2) is worked out in detail for arbitrary source-depth in the layer and in the substratum. A new type of representation of the source is used which gives the final results in a concise form. Explicit expressions for the displacements at the free surface are obtained for a center of explosion, a vertical strike-slip fault and a vertical dip-slip fault. The results for a horizontal thrust are found to be the same as for a vertical dip-slip fault. The relations between the Galerkin vector and the biharmonic eigenvectors are clarified. It is shown that the Galerkin-Boussinesq solution for the elastic half space cannot be extended to structures of higher complexity, except for a few simple sources. On the other hand, the Hansen Solution is valid for a wide class of sources and structures. Both dynamic and static regimes are considered.

Item Type:Article
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ID Code:54126
Deposited On:11 Aug 2011 11:38
Last Modified:11 Aug 2011 11:38

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