Abstract

A mathematical solution of the two‐dimensional linear problem of an acoustic‐gravity wave propagating over a bottom with a step, in a slightly compressible ocean, is presented. Expressions for the flow field on both sides of the step are derived. Furthermore, an extended problem is given that provides a solution for a group of acoustic‐gravity waves, generated by a submarine earthquake, propagating toward a continental shelf. The dynamic bottom pressure produced by the acoustic‐gravity waves is probably measurable, especially at the vicinity of the seaward face of the shelf break where incident and reflected modes appear simultaneously. A successful recording of such bottom pressures could assist in the early detection of tsunami.

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