Analytical theory for three-phase partially miscible flow in ternary systems

Tara La Force, Russell Taylor Johns

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Citations (Scopus)

Abstract

Three-phase flow often occurs in reservoirs, particularly during secondary or tertiary oil recovery. There is significant mutual solubility of components in the phases for near miscible gas floods or chemical floods. Unfortunately there is insufficient understanding of how three partially miscible phases can affect flow. Furthermore, there are currently no benchmark analytical solutions available to validate numerical simulations for this complex flow regime. In this research, compositional solution routes are developed by the method of characteristics (MOC) for one-dimensional, dispersion-free flow where up to three partially miscible flowing phases may be present. The method is applied to a water/alcohol/oil system that exhibits a large three-phase region in laboratory experiments. Unique solutions are found based on continuity arguments, shock-jump conditions, entropy constraints, and velocity constraints. The analytical solutions are compared to fine-grid finite-difference simulations to verify that they converge to the same dispersion-free limit. The results show that within the three-phase region one phase is below its residual saturation so that only two phases are flowing. As miscibility is approached, cumulative oil recovery initially declines because of the development of constant states in the solution, which cause the leading shock to speed up. We show that multi-contact miscibility is developed along the boundary of the three-phase region where all shocks and waves flow at a dimensionless velocity of one. Last, we show that injectivity (or inverse flow resistance) changes by a factor of two over the range of injection compositions considered for the specific relative permeabilities used.

Original languageEnglish (US)
Title of host publicationSociety of Petroleum Engineers - SPE/DOE Symposium on Improved Oil Recovery 2004, IOR 2004
PublisherSociety of Petroleum Engineers (SPE)
ISBN (Print)9781555639884
StatePublished - Jan 1 2004
EventSPE/DOE Symposium on Improved Oil Recovery 2004, IOR 2004 - Tulsa, United States
Duration: Apr 17 2004Apr 21 2004

Publication series

NameProceedings - SPE Symposium on Improved Oil Recovery
Volume2004-April

Other

OtherSPE/DOE Symposium on Improved Oil Recovery 2004, IOR 2004
CountryUnited States
CityTulsa
Period4/17/044/21/04

Fingerprint

Ternary systems
Solubility
Recovery
oil
three phase flow
Alcohols
Entropy
Computer simulation
entropy
simulation
alcohol
Chemical analysis
Gases
solubility
Oils
Water
saturation
permeability
Experiments
gas

All Science Journal Classification (ASJC) codes

  • Energy Engineering and Power Technology
  • Geotechnical Engineering and Engineering Geology

Cite this

La Force, T., & Johns, R. T. (2004). Analytical theory for three-phase partially miscible flow in ternary systems. In Society of Petroleum Engineers - SPE/DOE Symposium on Improved Oil Recovery 2004, IOR 2004 (Proceedings - SPE Symposium on Improved Oil Recovery; Vol. 2004-April). Society of Petroleum Engineers (SPE).
La Force, Tara ; Johns, Russell Taylor. / Analytical theory for three-phase partially miscible flow in ternary systems. Society of Petroleum Engineers - SPE/DOE Symposium on Improved Oil Recovery 2004, IOR 2004. Society of Petroleum Engineers (SPE), 2004. (Proceedings - SPE Symposium on Improved Oil Recovery).
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La Force, T & Johns, RT 2004, Analytical theory for three-phase partially miscible flow in ternary systems. in Society of Petroleum Engineers - SPE/DOE Symposium on Improved Oil Recovery 2004, IOR 2004. Proceedings - SPE Symposium on Improved Oil Recovery, vol. 2004-April, Society of Petroleum Engineers (SPE), SPE/DOE Symposium on Improved Oil Recovery 2004, IOR 2004, Tulsa, United States, 4/17/04.

Analytical theory for three-phase partially miscible flow in ternary systems. / La Force, Tara; Johns, Russell Taylor.

Society of Petroleum Engineers - SPE/DOE Symposium on Improved Oil Recovery 2004, IOR 2004. Society of Petroleum Engineers (SPE), 2004. (Proceedings - SPE Symposium on Improved Oil Recovery; Vol. 2004-April).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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AB - Three-phase flow often occurs in reservoirs, particularly during secondary or tertiary oil recovery. There is significant mutual solubility of components in the phases for near miscible gas floods or chemical floods. Unfortunately there is insufficient understanding of how three partially miscible phases can affect flow. Furthermore, there are currently no benchmark analytical solutions available to validate numerical simulations for this complex flow regime. In this research, compositional solution routes are developed by the method of characteristics (MOC) for one-dimensional, dispersion-free flow where up to three partially miscible flowing phases may be present. The method is applied to a water/alcohol/oil system that exhibits a large three-phase region in laboratory experiments. Unique solutions are found based on continuity arguments, shock-jump conditions, entropy constraints, and velocity constraints. The analytical solutions are compared to fine-grid finite-difference simulations to verify that they converge to the same dispersion-free limit. The results show that within the three-phase region one phase is below its residual saturation so that only two phases are flowing. As miscibility is approached, cumulative oil recovery initially declines because of the development of constant states in the solution, which cause the leading shock to speed up. We show that multi-contact miscibility is developed along the boundary of the three-phase region where all shocks and waves flow at a dimensionless velocity of one. Last, we show that injectivity (or inverse flow resistance) changes by a factor of two over the range of injection compositions considered for the specific relative permeabilities used.

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La Force T, Johns RT. Analytical theory for three-phase partially miscible flow in ternary systems. In Society of Petroleum Engineers - SPE/DOE Symposium on Improved Oil Recovery 2004, IOR 2004. Society of Petroleum Engineers (SPE). 2004. (Proceedings - SPE Symposium on Improved Oil Recovery).