Analytical Solutions for Multicomponent, Two-Phase Flow in Porous Media with Double Contact Discontinuities
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Seto_Analytical Solutions.pdf
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Author(s)
Orr, F. M. Jr
Seto, Carolyn Jennifer
Date Issued
June 2009
Journal
Transport in Porous Media
Publisher
Springer Netherlands
Citation
C. Seto and F. Orr, “Analytical Solutions for Multicomponent, Two-Phase Flow in Porous Media with Double Contact Discontinuities,” Transport in Porous Media, vol. 78, Jun. 2009, pp. 161-183.
Version
Author's final manuscript
Abstract
This paper presents the first instance of a double contact discontinuity in analytical solutions for multicomponent, two-phase flow in porous media. We use a three-component system with constant equilibrium ratios and fixed injection and initial conditions, to demonstrate this structure. This wave structure occurs for two-phase injection compositions. Such conditions were not considered previously in the development of analytical solutions for compositional flows. We demonstrate the stability of the double contact discontinuity in terms of the Liu entropy condition and also show that the resulting solution is continuously dependent on initial data. Extensions to four-component and systems with adsorption are presented, demonstrating the more widespread occurrence of this wave structure in multicomponent, two-phase flow systems. The developments in this paper provide the building blocks for the development of a complete Riemann solver for general initial and injection conditions.
Subjects
double contact discontinuity
two-phase injection
multicomponent flow
Riemann problem
degenerate shock
method of characteristics
analytical solution
MIT Department
Massachusetts Institute of Technology. Department of Chemical Engineering
MIT Energy Initiative
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DOI of Published Version
https://doi.org/10.1007/s11242-008-9292-y
