Affiliation:
1. Department of Mechanical Engineering and Department of Civil Engineering Columbia University New York, New York
Abstract
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.
Publisher
Seismological Society of America (SSA)
Subject
Geochemistry and Petrology,Geophysics
Cited by
252 articles.
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