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Boundary integral equation solutions to moving interface between two fluids in porous media
Author(s) -
Liu Philip LF.,
Cheng Alexander HD.,
Liggett James A.,
Lee Joseph H.
Publication year - 1981
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr017i005p01445
Subject(s) - porous medium , mechanics , interface (matter) , boundary (topology) , nonlinear system , mixing (physics) , transient (computer programming) , boundary value problem , mathematical analysis , materials science , porosity , mathematics , physics , geology , geotechnical engineering , computer science , bubble , quantum mechanics , maximum bubble pressure method , operating system
The boundary integral equation method is formulated for and applied to problems concerning a moving interface between two fluids in porous media. The mixing between two fluids is assumed to be insignificant; a sharp interface exists between them. Numerical and experimental results are presented for the tilting of a vertical interface in a Hele‐Shaw cell. During the initial stage of the interfacial movement, nonlinear effects are clearly demonstrated. The BIEM results are also compared to experimental results for a transient salt water intrusion problem.