Interface approximation of Darcy flow in a narrow channel | Zendy

Morales Fernando | Zendy; Showalter Ralph E. | Zendy

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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.

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