Simulation of three-component two-phase flow in porous media using method of lines

Goudarzi, S.; Mathias, S.A.; Gluyas, J.G.

Abstract

Numerical simulation of compositional flow problems commonly involves the use of 1st- or 2nd-order Euler time stepping. Method of lines (MOL), using highly accurate and efficient ODE solvers, is an alternative technique which, although frequently applied to the solution of two-phase, two-component flow problems, has generally been overlooked for problems concerning more than two components. This article presents the development of a numerical simulator for 1D, compressible, two-phase, three-component, radially symmetric flow using the method of lines (MOL) and a 3rd-order accurate spatial discretization using a weighted essentially non-oscillatory (WENO) scheme. The MOL implementation enables application of the MATLAB ODE solver, ODE15s, for time integration. Simulation examples are presented in the context of CO2CO2 injection into a reservoir containing a mixture of CH4CH4 and H2OH2O. Following an assumption of constant equilibrium ratios for CO2CO2 and CH4CH4, a ternary flash calculator is developed providing closed-form relationships for exact interpolation between equations of state for CO2CO2–H2OH2O and CH4CH4–H2OH2O binary mixtures. The numerical code is successfully tested and verified for a range of scenarios by comparison with an existing analytical solution.

Citation

Goudarzi, S., Mathias, S., & Gluyas, J. (2016). Simulation of three-component two-phase flow in porous media using method of lines. Transport in Porous Media, 112(1), 1-19. https://doi.org/10.1007/s11242-016-0639-5

• Journal Article Type: Article
• Acceptance Date: Dec 17, 2015
• Online Publication Date: Feb 5, 2016
• Publication Date: Mar 1, 2016
• Deposit Date: Dec 23, 2015
• Publicly Available Date: Feb 5, 2017
• Journal: Transport in Porous Media
• Print ISSN: 0169-3913
• Electronic ISSN: 1573-1634
• Publisher: Springer
• Peer Reviewed: Peer Reviewed
• Volume: 112
• Issue: 1
• Pages: 1-19
• DOI: https://doi.org/10.1007/s11242-016-0639-5
• Public URL: https://durham-repository.worktribe.com/output/1393378