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Finite element methods for an acoustic well-logging problem associated with a porous medium saturated by a two-phase immiscible fluid

✍ Scribed by Dongwoo Sheen


Publisher
John Wiley and Sons
Year
1993
Tongue
English
Weight
748 KB
Volume
9
Category
Article
ISSN
0749-159X

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✦ Synopsis


A mathematical model is presented concerning wave propagation in a domain that arises in geophysical well-logging problems. The domain consists of a borehole Cl, surrounded by a porous medium C l p . Clf is filled with a compressible inviscid fluid, and Clp is saturated by a two-phase immiscible fluid. Absorbing boundary conditions for artificial boundaries and boundary conditions on the interface between Clzi and Clp are used. The existence and uniqueness theorems are stated for the resulting initial-boundary value problem. Stability and convergence estimates for a finite element method are also studied.