A numerical modeling of multicomponent compressible flows in porous media with multiple wells by an Eulerian-Lagrangian method

We develop an Eulerian-Lagrangian numerical model for the simulation of fully miscible, highly compressible, multicomponent fluid flow processes through compressible porous media with multiple injection and production wells. We describe the numerical schemes, the treatment of the multiple injection and production wells, problems related to characteristic tracking, and other issues. We perform numerical experiments to investigate the performance of the numerical model. These results show that the numerical model generates robust, stable, and physically reasonable simulations without nonphysical oscillation or excessive numerical diffusion, even in the presence of multiple injection and production wells and the use of large time steps and coarse spatial grids. Finally, numerical experiments to well known test problems show that the numerical model does not generate noticeable grid orientation effect.