Four-component gas/water/oil displacements in one dimension: part II, example solutions

• Published in: Transport in porous media Vol. 72; no. 1; pp. 83 - 96
• Main Authors: LaForce, Tara, Jessen, Kristian, Orr, Franklin M.
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01-03-2008; Springer; Springer Nature B.V
• Subjects: Boundary conditions; Carbon dioxide; Civil Engineering; Classical and Continuum Physics; Computer simulation; Conservation laws; Earth and Environmental Science; Earth Sciences; Earth, ocean, space; Exact sciences and technology; Exact solutions; Geotechnical Engineering & Applied Earth Sciences; Hydrocarbons; Hydrogeology; Hydrology. Hydrogeology; Hydrology/Water Resources; Industrial Chemistry/Chemical Engineering; Method of characteristics; Modelling; Sedimentary rocks; Sensitivity analysis; Conservation laws; Hyperbolic system; Compositional model; Constant; Three-phase flow; value; Four-component system; carbon dioxide; models; Hyperbolic system, Constant K-value; hydrocarbons; reservoirs; transport; water; displacements; equilibrium; petroleum; boundary conditions; injection; porous media; Four-component system Conservation laws; gases; methodology
• ISSN: 0169-3913; 1573-1634
• DOI: 10.1007/s11242-007-9137-0

In this article analytical solutions are constructed for a system of conservation laws modeling compositional flow of four components in three phases using the method of characteristics (MOC). Every component partitions between all phases present, and the equilibrium volume ratios of the components in each phase are fixed. Riemann problems modeling the injection of carbon dioxide and water in a depleted oil reservoir are studied, and the sensitivity of the solutions to changes in boundary conditions is analyzed. Finally the MOC solutions are compared to simulated displacements.