Multi-phase compositional modeling in porous media using iterative IMPEC scheme and constant volume-temperature flash

In this paper, we present a numerical solution of a multi-phase compressible Darcy's flow of a multi-component mixture in a porous medium. The mathematical model consists of mass conservation equation for each component, extended Darcy's law for each phase, and an appropriate set of initial and boundary conditions. The phase split is computed using the phase equilibrium computation in the VTN-specification (known as VTN-flash). The transport equations are solved numerically using the mixed-hybrid finite element method and a novel iterative IMPEC scheme [1]. We provide examples showing the performance of the numerical scheme. The convergence of the numerical scheme is verified using the experimental orders of convergence (EOC). This is an extended version of conference paper [2].

Automated summary

In this paper, a numerical solution for the multi-phase compressible Darcy's flow of a multi-component mixture in a porous medium is presented. The mathematical model includes mass conservation equations for each component, extended Darcy's law for each phase, and appropriate initial and boundary conditions. The phase split is calculated using the phase equilibrium computation in the VTN-flash method. The transport equations are solved numerically using the mixed-hybrid finite element method and an iterative IMPEC scheme. The convergence of the numerical scheme is verified using the experimental orders of convergence (EOC). This is an extended version of a conference paper.