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In this paper, we consider a 2D mathematical modelling of the vertical compaction effect in a water saturated sedimentary basin. This model is described by the usual conservation laws, Darcy’s law, the porosity as a function of the vertical component of the effective stress and the Kozeny-Carman tensor, taking into account fracturation effects. This model leads to study the time discretization of a nonlinear system of partial differential equations. The existence is obtained by a fixed-point argument....
In this paper, we consider a 2D mathematical modelling of the vertical
compaction effect in a water saturated sedimentary basin. This model is
described by the usual conservation laws, Darcy's law, the porosity as a
function of the vertical component of the effective stress and the
Kozeny-Carman tensor, taking into account fracturation effects. This model
leads to study the time discretization of a nonlinear system of
partial differential equations. The existence is obtained by a fixed-point
argument....
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