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Bulletin of the Seismological Society of America; July 1963; v. 53; no. 4; p. 783-788
© 1963 Seismological Society of America
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On uniqueness in dynamic poroelasticity

H. DERESIEWICZ and R. SKALAK

DEPARTMENT OF MECHANICAL ENGINEERING AND DEPARTMENT OF CIVIL ENGINEERING COLUMBIA UNIVERSITY, NEW YORK, NEW YORK

Abstract

Conditions are derived sufficient for uniqueness of solution of the field equations of Biot's theory of liquid-filled porous media, particular attention being paid to continuity requirements at an interface between two such dissimilar materials. It is found that at an interface two distinct sets of conditions will satisfy the demands of the mathematical uniqueness theorem, one of them being discarded on physical grounds. The permissible set is then discussed in relation to a number of possible models of the structure of a pair of elements in contact. The special cases of an impermeable elastic solid or a liquid medium in contact with a saturated porous solid are also examined.




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