Groundwater flow in a fissurised porous stratum | Zendy

Michiel Bertsch | Zendy; Carlo Nitsch | Zendy

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Groundwater flow in a fissurised porous stratum

Author(s) -

Michiel Bertsch,

Carlo Nitsch

Publication year - 2010

Publication title -

networks and heterogeneous media

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.732

H-Index - 34

eISSN - 1556-181X

pISSN - 1556-1801

DOI - 10.3934/nhm.2010.5.765

Subject(s) - porous medium , porosity , mechanics , groundwater , flow (mathematics) , penetration (warfare) , diffusion , fluid dynamics , geology , geotechnical engineering , mathematics , physics , thermodynamics , operations research

In [2] Barenblatt e.a. introduced a fluid model for groundwater flow in fissurised porous media. The system consists of two diffusion equations for the groundwater levels in, respectively, the porous bulk and the system of cracks. The equations are coupled by a fluid exchange term. Numerical evidence in [2, 8] suggests that the penetration depth of the fluid increases dramatically due to the presence of cracks and that the smallness of certain parameter values play a key role in this phenomenon. In the present paper we give precise estimates for the penetration depth in terms of the smallness of some of the parameters.

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