Fernando A. Morales
Abstract:
We analyze the steady fluid flow in a porous medium containing a network
of thin fissures of width
,
generated by the rigid
translation of continuous piecewise
functions in a fixed direction.
The phenomenon is modeled in mixed variational formulation, using the
stationary Darcy's law and coefficients of low resistance
on the network. The singularities are removed by asymptotic analysis as
which yields an analogous system hosting only tangential
flow in the fissures. Finally the fissures are collapsed into two dimensional
manifolds.
Submitted September 7, 2013. Published September 11, 2014.
Math Subject Classifications: 35F15, 80M40, 76S99, 35B25.
Key Words: Fissured media; tangential flow; interface geometry;
coupled Darcy flow system; upscaling; mixed formulation.
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Fernando A. Morales Escuela de Matemáticas Universidad Nacional de Colombia Sede Medellín, Colombia email: famoralesj@unal.edu.co |
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