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Dispersive properties of a fluid layer overlying a semi-infinite elastic solid^*

STANOLIND OIL AND GAS COMPANY, TULSA, OKLAHOMA^*

Abstract

The dispersive properties of waves propagating in a system consisting of a fluid layer overlying a semi-infinite elastic body are investigated by means of new formulas for the group velocity. The distribution of stationary values of the group velocity is examined in the light of these formulas and of numerical results. Also it is shown that the minimum group velocity of the fundamental mode may belong either to the normal-mode branch or to the Stoneley-wave branch, depending on the contrast in wave velocities between the two media.

Footnotes

^* Manuscript received for publication October 20, 1952.

^* At present, the author is at Columbia University, Hudson Laboratories, Dobbs Ferry, N.Y.