We analyze the steady fluid flow in a porous medium containing a network of
thin fissures i.e. width O(ϵ), where all the cracks are
generated by the rigid translation of a continuous piecewise C1 functions
in a fixed direction. The phenomenon is modeled in mixed variational
formulation, using the stationary Darcy's law and setting coefficients of low
resistance O(ϵ) on the network. The singularities are
removed performing asymptotic analysis as ϵ→0 which yields
an analogous system hosting only tangential flow in the fissures. Finally the
fissures are collapsed into two dimensional manifolds.Comment: 24 pages, 4 figure