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Interface approximation of Darcy flow in a narrow channel
Author(s) -
Morales Fernando,
Showalter Ralph E.
Publication year - 2012
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1555
Subject(s) - darcy's law , permeability (electromagnetism) , porous medium , mathematics , flow (mathematics) , mechanics , interface (matter) , boundary value problem , mathematical analysis , porosity , geometry , geotechnical engineering , geology , physics , chemistry , biochemistry , bubble , maximum bubble pressure method , membrane
A mixed formulation is introduced for the singular problem of Darcy flow in a porous medium in a region containing a narrow fracture or channel with width O ( ε ) and high permeability O1 ε. The solution converges as ε → 0 to that of Darcy flow coupled to tangential flow on the lower‐dimensional interface or boundary. Copyright © 2012 John Wiley & Sons, Ltd.