Construction of finite-difference scheme for simulation of flows in porous media under near-critical thermodynamic conditions

Authors

  • Andrey Aleksandrovich Afanasyev ZAO «T-Services»
  • Oleg Eduardovich Melnik ZAO «T-Services»

DOI:

https://doi.org/10.7242/1999-6691/2013.6.2.28

Keywords:

numeric simulations, finite-difference method, approximation, porous media, multiphase flows, critical point

Abstract

We investigate the mathematical model of three-phase non-isothermal binary mixture flows in porous media under sub- and supercritical conditions. We analyze the problems of numerical simulation of flows in a porous medium assuming that enthalpy is an independent variable of the model. We propose a continuous finite-difference approximation of convective fluxes under near-critical thermodynamic conditions. The model can be used for numerical simulation of the problems of underground carbon dioxide storage, geothermal energy production and hydrocarbon deposits exploration.

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References

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Pruess K., Spycher N. ECO2N -A fluid property module for the TOUGH2 code for studies of CO2 storage in saline aquifers // Energ. Convers. Manage. - 2007. - V. 48, N. 6. - P. 1761-1767. DOI
2. TOUGH2 User’s Guide, Version 2.1: Report (revised) / Lawrence Berkeley National Laboratory: Pruess K., et al. - Berkeley, Calif., U.S., 2011. - 214 r. - LBNL-43134.
3. Croucher A.E., O’Sullivan M.J. Application of the computer code TOUGH2 to the simulation of supercritical conditions in geothermal system // Geothermics. - 2008. - V. 37, N. 6. - P. 622-634. DOI
4. Aziz K., Settari A. Petroleum Reservoir Simulation. - London - NY: Applied Science Publishers, 1979. - 476 p.
5. Coats K.H. An equation of state compositional model // SPE Journal. - 1980. - V. 20, N. 5. - P. 363-376. DOI
6. Afanas’ev A.A., Mel’nik O.E. O matematiceskom modelirovanii mnogofaznoj fil’tracii pri okolokriticeskih usloviah // Vestn. Mosk. un-ta. Ser. 1. - 2013. - V pecati.
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10. Cypkin G.G. Matematiceskaa model’ fazovyh perehodov voda-par v gidrotermal’nyh plastah // MZG. - 1994. - No 6. - S. 98-105.
11. Stone H.L. Estimation of three-phase relative permeability and residual oil data // J. Can. Petrol. Technol. - 1973. - V. 12, N. 4. - P. 53-61. DOI
12. Guide to the revised ground-water flow and heat transport simulator: HYDROTHERM - Version 3: Report / U.S. Geological Survey: Kipp K.L., Hsieh P.A., Charlton S.R. - U.S. Geological Survey Techniques and Methods, U.S., 2008. - 160 p. - Report N. 6-A25.
13. http://www.slb.com/services/software/reseng/eclipse.aspx (data obrasenia: 19.06.2013).
14. Schechter D.S., Haynes J.M. Relative permeabilities of a near critical binary fluid // Transport Porous Med. - 1992. - V. 9, N. 3. - P. 241-260. DOI

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Published

2013-07-17

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Articles

How to Cite

Afanasyev, A. A., & Melnik, O. E. (2013). Construction of finite-difference scheme for simulation of flows in porous media under near-critical thermodynamic conditions. Computational Continuum Mechanics, 6(2), 246-255. https://doi.org/10.7242/1999-6691/2013.6.2.28