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Modeling and simulation of two-phase two-component flow with disappearing nonwetting phase

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Abstract

Carbon capture and storage is a recently discussed new technology, aimed at allowing an ongoing use of fossil fuels while preventing the produced CO2 to be released to the atmosphere. CCS can be modeled with two components (water and CO2) in two phases (liquid and CO2). To simulate the process, a multiphase flow equation with equilibrium phase exchange is used. One of the big problems arising in two-phase two-component flow simulations is the disappearance of the nonwetting phase, which leads to a degeneration of the equations satisfied by the saturation. A standard choice of primary variables, which is the pressure of one phase and the saturation of the other phase, cannot be applied here. We developed a new approach using the pressure of the nonwetting phase and the capillary pressure as primary variables. One important advantage of this approach is the fact that we have only one set of primary variables that can be used for the biphasic as well as the monophasic case. We implemented this new choice of primary variables in the DUNE simulation framework and present numerical results for some test cases.

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References

  1. MoMaS Benchmark on Multiphase Flow in Porous Media: Exercise 1. URL: http://www.gdrmomas.org/Benchmark/multiphase/multiphasique.html (2010). Accessed 11 Oct 2010

  2. Abadpour, A., Panfilov, M.: Method of negative saturations for modeling two-phase compositional flow with oversaturated zones. Trans. Porous Media 79(2), 197–214 (2009)

    Article  Google Scholar 

  3. Angelini, O., Chavant, C., Chénier, E., Eymard, R., Granet, S.: Finite volume approximation of a diffusion-dissolution model and application to nuclear waste storage. Math. Comput. Simul. 81, 2001–2017 (2011)

    Article  Google Scholar 

  4. Atkins, P.W.: Physikalische Chemie. VHC Verlagsgesellschaft (1990)

  5. Bastian, P., Blatt, M., Dedner, A., Engwer, C., Fahlke, J., Gräser, C., Klöfkorn, R., Nolte, M., Ohlberger, M., Sander, O.: DUNE distributed and unified numerics environment. URL:http://www.dune-project.org (2011)

  6. Bastian, P., Blatt, M., Dedner, A., Engwer, C., Klöfkorn, R., Kornhuber, R., Ohlberger, M., Sander, O.: A generic grid interface for parallel and adaptive scientific computing. Part II: implementation and tests in DUNE. Computing 82(2–3), 121–138 (2008)

    Article  Google Scholar 

  7. Blatt, M.: A Parallel algebraic multigrid method for elliptic problems with highly discontinuous coefficients. Ph.D. thesis, University of Heidelberg (2010)

  8. Bourgeat, A., Granet, S., Smaï, F.: Compositional two-phase flow in saturated-unsaturated porous media: benchmarks for phase appearance/disappearance. Radon Series on Computational and Applied Mathematics: Simulation of Flow in Porous Media (2012, submitted)

  9. Bourgeat, A., Jurak, M., Smaï, F.: Modelling and numerical simulation of gas migration in a nuclear waste repository. ArXiv:1006.2914 (2010)

  10. Class, H.: Theorie und numerische Modellierung nichtisothermer Mehrphasenprozesse in NAPL-kontaminierten porösen Medien. Ph.D. thesis, University of Stuttgart (2000)

  11. Class, H., Helmig, R., Bastian, P.: Numerical simulation of non-isothermal multiphase multicomponent processes in porous media. Adv. Water Resour. 25(5), 533–550 (2002)

    Article  Google Scholar 

  12. Duan, Z., Moller, N., Weare, J.H.: An equation of state for the CH4-CO2-H2O system: I. Pure systems from 0 to 1000 °C and 0 to 8000 bar. Geochim. Cosmochim. Acta 56(7), 2605–2617 (1992)

    Article  Google Scholar 

  13. Duan, Z., Sun, R.: An improved model calculating CO2 solubility in pure water and aqueous NaCl solutions from 273 to 533 K and from 0 to 2000 bar. Chem. Geol. 193, 257–271 (2003)

    Article  Google Scholar 

  14. Fenghour, A., Wakeham, W.A., Vesovic, V.: The viscosity of carbon dioxide. J. Phys. Chem. Ref. Data 27(1), 31–44 (1998)

    Article  Google Scholar 

  15. Forsyth, P.A., Simpson, R.B.: A two-phase two-component model for natural convection in a porous medium. Int. J. Numer. Methods Fluids 12, 655–682 (1991)

    Article  Google Scholar 

  16. García, J.E.: Density of aqueous solutions of CO2. Lawrence Berkeley National Laboratory, LBNL-49023 (2001)

  17. Ippisch, O.: Coupled transport in natural porous media. Ph.D. thesis, University of Heidelberg (2003)

  18. Jaffré, J., Sboui, A.: Henry’s law and gas phase disappearance. Trans. Porous Media 82, 521–526 (2010)

    Article  Google Scholar 

  19. Jin, Y., Jury, W.A.: Characterizing the dependence of gas diffusion coefficient on soil properties. Soil Sci. Soc. Am. J. 60, 66–71 (1996)

    Article  Google Scholar 

  20. Spycher, N., Pruess, K.: CO2-H2O mixtures in the geological sequestration of CO2. II. Partitioning in chloride brines at 12–100 °C and up to 600 bar. Geochim. Cosmochim. Acta 69(13), 3309–3320 (2005)

    Article  Google Scholar 

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Correspondence to Rebecca Neumann.

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Neumann, R., Bastian, P. & Ippisch, O. Modeling and simulation of two-phase two-component flow with disappearing nonwetting phase. Comput Geosci 17, 139–149 (2013). https://doi.org/10.1007/s10596-012-9321-3

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  • DOI: https://doi.org/10.1007/s10596-012-9321-3

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