Article
Derivation of a coupled Darcy-Reynolds equation for a fluid flow in a thin porous medium including a fissure
Author/s | Anguiano Moreno, María
![]() ![]() ![]() ![]() ![]() ![]() ![]() Suárez Grau, Francisco Javier ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2017 |
Deposit Date | 2024-05-03 |
Abstract | We study the asymptotic behavior of a fluid flow in a thin porous medium of thickness
ε, which characteristic size of the pores ε, and containing a fissure of width ηε. We consider the limit when the size of the pores ... We study the asymptotic behavior of a fluid flow in a thin porous medium of thickness ε, which characteristic size of the pores ε, and containing a fissure of width ηε. We consider the limit when the size of the pores tends to zero and we find a critical size ηε ≈ ε^{2/3} in which the flow is described by a 2D Darcy law coupled with a 1D Reynolds problem. We also discuss the other cases. |
Funding agencies | Junta de Andalucía European Research Council (ERC) Ministerio de Economía y Competitividad (MINECO). España |
Project ID. | P12-FQM-2466
![]() H2020-EU.1.1.-639227 ![]() MTM2014- 53309-P ![]() |
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