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Bulletin of the Seismological Society of America; October 1960; v. 50; no. 4; p. 599-607
© 1960 Seismological Society of America
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The effect of boundaries on wave propagation in a liquid-filled porous solid

I. Reflection of plane waves at a free plane boundary (non-dissipative case)

H. DERESIEWICZ

DEPARTMENT OF MECHANICAL ENGINEERING, COLUMBIA UNIVERSITY, NEW YORK, N. Y.

Abstract

A general solution is deduced of the differential equations which describe the propagation of elastic waves in a nondissipative liquid-filled porous solid. The solution is then used to examine some of the phenomena which arise when each of the three body waves predicted by the field equations is, in turn, incident on a plane traction-free boundary. It is found, for example, that an obliquely incident wave of each type in general gives rise to reflected waves of all three types.




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H. DERESIEWICZ and B. WOLF
The effect of boundaries on wave propagation in a liquidfilled porous solid: VIII. Reflection of planewaves at an irregular boundary
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H. DERESIEWICZ and J. T. RICE
The effect of boundaries on wave propagation in a liquid-filled porous solid: III. Reflection of plane waves at a free plane boundary (general case)
Bulletin of the Seismological Society of America, July 1, 1962; 52(3): 595 - 625.
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The effect of boundaries on wave propagation in a liquid-filled porous solid: IV. Surface waves in a half-space
Bulletin of the Seismological Society of America, July 1, 1962; 52(3): 627 - 638.
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The effect of boundaries on wave propagation in a liquid-filled porous solid: II. Love waves in a porous layer
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