Homogenization and simulation for compositional flow in naturally fractured reservoirs

A dual porosity model of multidimensional, multicomponent, multiphase flow in naturally fractured reservoirs is derived by the mathematical theory of homogenization. A fully compositional model is considered where there are N chemical components, each of which may exist in any or all of the three phases: gas, oil, and water. Special attention is paid to developing a general approach to incorporating gravitational forces, pressure gradient effects, and effects of mass transfer between phases. In particular, general equations for the interactions between matrix and fracture systems are obtained under homogenization by a careful scaling of these effects. Using this dual porosity compositional model, numerical experiments are reported for the benchmark problems of the sixth comparative solution project organized by the society of petroleum engineers.