ABSTRACT

A double porosity model of the carbon dioxide sequestration in a fractured medium is derived. The model is the dual porosity version of a model that has been used to investigate carbon dioxide storage in a North Sea aquifer. We have incorporated the capillary effects that were left out in the single porositymodel counterpart.The derivation uses themathematical theory of homogenization that constructs accurately averaged parameters at cells and yields appropriate transfer function at the fracture-matrix interface. The resulting model is written in terms of a global pressure aiming at the use of an operator splitting procedure for the numerical simulation of the problem at hand.