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Article Dans Une Revue ESAIM: Mathematical Modelling and Numerical Analysis Année : 2003

Vertical compaction in a faulted sedimentary basin

Résumé

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. The uniqueness proof, by Holmgren’s method, leads to work out a linear, strongly coupled, system of partial differential equations and boundary conditions.

Dates et versions

hal-04312954 , version 1 (30-11-2023)

Identifiants

Citer

Gérard Gagneux, Roland Masson, Anne Plouvier-Debaigt, Guy Vallet, Sylvie Wolf. Vertical compaction in a faulted sedimentary basin. ESAIM: Mathematical Modelling and Numerical Analysis, 2003, 37 (2), pp.373-388. ⟨10.1051/m2an:2003032⟩. ⟨hal-04312954⟩
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