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Ground-motion amplification by topographic depressions for incident P wave under acoustic approximation

INSTITUTO DE GEOFISICA UNIVERSIDAD NACIONAL AUTONOMA DE MEXICO CIUDAD UNIVERSITARIA, MEXICO 20, D.F.
INSTITUTO DE INGENIERIA UNIVERSIDAD NACIONAL AUTONOMA DE MEXICO CIUDAD UNIVERSITARIA, MEXICO 20, D.F.

Abstract

Ground-motion amplification caused by a semi-spherical and a semi-cylindrical cavity in a half-space for an incident P wave is calculated from analytic solutions under acoustic approximation. We expect this approximation to be valid for materials with a Poisson's ratio near 0.5, e.g., saturated soils. The ground motion is zero at the edges of the cavity and is normal to the free surface. An amplification of about 2 to 3 occurs near the bottom of the cavity for large wavelengths. Detailed numerical results are given for vertical incidence.

Footnotes

^* Present address: Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas, Universidad Naciona Autónoma de Mexico, Apartado Postal 20-726, México 20, D. F., Mexico.

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