Three-phase compositional modeling of CO2 injection by higher-order finite element methods with CPA equation of state for aqueous phase

作者: Joachim Moortgat , Zhidong Li , Abbas Firoozabadi

DOI: 10.1029/2011WR011736

关键词: Three-phaseThermodynamicsEquation of stateViscous fingeringRate of convergenceWork (thermodynamics)PhysicsFinite difference methodFinite element methodFinite difference

摘要: [1] Most simulators for subsurface flow of water, gas, and oil phases use empirical correlations, such as Henry's law, the CO2 composition in aqueous phase, equations state (EOS) that do not represent polar interactions between CO2and water. Widely used are also based on lowest-order finite difference methods suffer from numerical dispersion grid sensitivity. They may capture viscous gravitational fingering can negatively affect hydrocarbon (HC) recovery, or aid carbon sequestration aquifers. We present a three-phase compositional model higher-order element incorporate rigorous efficient three-phase-split computations either three HC water-oil-gas systems. For phases, we Peng-Robinson EOS. allow solubility CO2in water adopt new cubic-plus-association (CPA) EOS, which accounts cross association H2O molecules, molecules. The CPA-EOS is highly accurate over broad range pressures temperatures. main novelty this work formulation reservoir simulator with EOS-based unique computations, satisfy both equalities fugacities all global minimum Gibbs free energy. provide five examples demonstrate twice convergence rate our method compared approach, compare experimental data other simulators. consider during CO2sequestration aquifers, water-alternating-gas injection, full modeling phases.

参考文章(76)
Shuyu Sun, Béatrice Rivière, Mary F. Wheeler, A Combined Mixed Finite Element and Discontinuous Galerkin Method for Miscible Displacement Problem in Porous Media Recent Progress in Computational and Applied PDES. pp. 323- 351 ,(2002) , 10.1007/978-1-4615-0113-8_23
Abbas. Firoozabadi, Thermodynamics of Hydrocarbon Reservoirs ,(1999)
Philip Cheng, Michael Bestehorn, Abbas Firoozabadi, Effect of permeability anisotropy on buoyancy‐driven flow for CO2 sequestration in saline aquifers Water Resources Research. ,vol. 48, ,(2012) , 10.1029/2012WR011939
Jean Roberts, Jean-Marie Thomas, Mixed and hybrid finite element methods Springer-Verlag. ,(1991) , 10.1007/978-1-4612-3172-1
Béatrice Rivière, Mary F. Wheeler, Vivette Girault, A Priori Error Estimates for Finite Element Methods Based on Discontinuous Approximation Spaces for Elliptic Problems SIAM Journal on Numerical Analysis. ,vol. 39, pp. 902- 931 ,(2001) , 10.1137/S003614290037174X
Shuyu Sun, Mary F. Wheeler, L2(H1 Norm A PosterioriError Estimation for Discontinuous Galerkin Approximations of Reactive Transport Problems Journal of Scientific Computing. ,vol. 22-23, pp. 501- 530 ,(2005) , 10.1007/S10915-004-4148-2
Ivo Babuška, Miloš Zlámal, Nonconforming Elements in the Finite Element Method with Penalty SIAM Journal on Numerical Analysis. ,vol. 10, pp. 863- 875 ,(1973) , 10.1137/0710071
H.L. Stone, Estimation of Three-Phase Relative Permeability And Residual Oil Data Journal of Canadian Petroleum Technology. ,vol. 12, ,(1973) , 10.2118/73-04-06