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

Goudarzi, S. and Mathias, S.A. and Gluyas, J.G. (2016) 'Simulation of three-component two-phase flow in porous media using method of lines.', Transport in porous media., 112 (1). pp. 1-19.


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.

Item Type:Article
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Publisher statement:© The Author(s) 2016 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://​creativecommons.​org/​licenses/​by/​4.​0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Record Created:18 Jan 2016 12:35
Last Modified:05 Feb 2017 00:36

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