Derivation of a coupled Darcy–Reynolds equation for a fluid flow in a thin porous medium including a fissure

作者: María Anguiano , Francisco Javier Suárez-Grau

DOI: 10.1007/S00033-017-0797-5

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摘要: We study the asymptotic behavior of a fluid flow in thin porous medium thickness \(\varepsilon \), which is characteristic size pores \) and contains fissure width \(\eta _\varepsilon \). consider limit when tends to zero, we find critical \approx \varepsilon ^{2\over 3}\) described by 2D Darcy law coupled with 1D Reynolds problem. also discuss other cases.

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