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Volumn 34, Issue 8, 2011, Pages 957-966

A new approach for phase transitions in miscible multi-phase flow in porous media

Author keywords

Multi phase flow; Phase state; Phase transition; Porous media; Semismooth Newton

Indexed keywords

FLOW BEHAVIORS; FLUID PHASIS; INEQUALITY CONSTRAINT; NEWTON-RAPHSON; NON-LINEAR SOLVER; NONISOTHERMAL; NONLINEAR COMPLEMENTARITY FUNCTION; NUMERICAL EXAMPLE; PHASE STATE; SEMISMOOTH; STRONGLY NONLINEAR; SYSTEM OF EQUATIONS; TIGHTLY-COUPLED; TRANSITION CONDITIONS;

EID: 79960281881     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advwatres.2011.04.021     Document Type: Article
Times cited : (75)

References (45)
  • 1
    • 33748060539 scopus 로고    scopus 로고
    • Modeling non-isothermal two-phase multicomponent flow in the cathode of PEM fuel cells
    • Acosta M., Merten C., Eigenberger G., Class H., Helmig R., Thoben B., et al. Modeling non-isothermal two-phase multicomponent flow in the cathode of PEM fuel cells. J Power Sources 2006, 159:1123-1141.
    • (2006) J Power Sources , vol.159 , pp. 1123-1141
    • Acosta, M.1    Merten, C.2    Eigenberger, G.3    Class, H.4    Helmig, R.5    Thoben, B.6
  • 2
    • 0022107405 scopus 로고
    • General purpose compositional model
    • Acs G., Doleschall S., Farkas E. General purpose compositional model. SPE J 1985, 25:543-553.
    • (1985) SPE J , vol.25 , pp. 543-553
    • Acs, G.1    Doleschall, S.2    Farkas, E.3
  • 3
    • 0026255347 scopus 로고
    • A mixed formulation for frictional contact problems prone to Newton like solution methods
    • Alart P., Curnier A. A mixed formulation for frictional contact problems prone to Newton like solution methods. Comput Methods Appl Mech Eng 1991, 92:353-375.
    • (1991) Comput Methods Appl Mech Eng , vol.92 , pp. 353-375
    • Alart, P.1    Curnier, A.2
  • 5
    • 0031115882 scopus 로고    scopus 로고
    • Comparison of various formulations of three-phase flow in porous media
    • Chen Z., Ewing R.E. Comparison of various formulations of three-phase flow in porous media. J Comput Phys 1997, 132:362-373.
    • (1997) J Comput Phys , vol.132 , pp. 362-373
    • Chen, Z.1    Ewing, R.E.2
  • 7
    • 0037016623 scopus 로고    scopus 로고
    • A nonsmooth Newton method for elastoplastic problems
    • Christensen P.W. A nonsmooth Newton method for elastoplastic problems. Comput Methods Appl Mech Eng 2002, 191:1189-1219.
    • (2002) Comput Methods Appl Mech Eng , vol.191 , pp. 1189-1219
    • Christensen, P.W.1
  • 8
    • 0036563434 scopus 로고    scopus 로고
    • Numerical simulation of non-isothermal multiphase multicomponent processes in porous media. 2. Applications for the injection of steam and air
    • Class H., Helmig R. Numerical simulation of non-isothermal multiphase multicomponent processes in porous media. 2. Applications for the injection of steam and air. Adv Water Resour 2002, 25:551-564.
    • (2002) Adv Water Resour , vol.25 , pp. 551-564
    • Class, H.1    Helmig, R.2
  • 9
    • 0036563508 scopus 로고    scopus 로고
    • Numerical simulation of non-isothermal multiphase multicomponent processes in porous media. 1. An efficient solution technique
    • Class H., Helmig R., Bastian P. Numerical simulation of non-isothermal multiphase multicomponent processes in porous media. 1. An efficient solution technique. Adv Water Resour 2002, 25:533-550.
    • (2002) Adv Water Resour , vol.25 , pp. 533-550
    • Class, H.1    Helmig, R.2    Bastian, P.3
  • 10
    • 0019069080 scopus 로고
    • An equation of state compositional model
    • Coats K.H. An equation of state compositional model. SPE J 1980, 20:363-376.
    • (1980) SPE J , vol.20 , pp. 363-376
    • Coats, K.H.1
  • 13
    • 84920317620 scopus 로고
    • Numerical modeling of steam injection for the removal of nonaqueous phase liquids from the subsurface. 1. Numerical formulation
    • Falta R.W., Pruess K., Javandel I., Witherspoon P.A. Numerical modeling of steam injection for the removal of nonaqueous phase liquids from the subsurface. 1. Numerical formulation. Water Resour Res 1992, 28:433-449.
    • (1992) Water Resour Res , vol.28 , pp. 433-449
    • Falta, R.W.1    Pruess, K.2    Javandel, I.3    Witherspoon, P.A.4
  • 15
    • 79960257432 scopus 로고    scopus 로고
    • Multiphysics modeling of advection-dominated two-phase compositional flow in porous media. Int J Numer Anal Model; in press. Preprint on .
    • Fritz J, Flemisch B, Helmig R, Multiphysics modeling of advection-dominated two-phase compositional flow in porous media. Int J Numer Anal Model; in press. Preprint on . http://www.nupus.uni-stuttgart.denumber2009/8.
    • Fritz, J.1    Flemisch, B.2    Helmig, R.3
  • 17
    • 79960286355 scopus 로고
    • Augmented Lagrangian and operator splitting methods in nonlinear mechanics. SIAM studies in applied mathematics, Philadelphia.
    • Glowinski R, Le Tallec P. Augmented Lagrangian and operator splitting methods in nonlinear mechanics. SIAM studies in applied mathematics, vol. 9. Philadelphia; 1989.
    • (1989) , vol.9
    • Glowinski, R.1    Le Tallec, P.2
  • 19
    • 77953147392 scopus 로고    scopus 로고
    • Semismooth Newton methods for variational problems with inequality constraints
    • Hager C., Wohlmuth B. Semismooth Newton methods for variational problems with inequality constraints. GAMM-Mitt 2010, 33:8-24.
    • (2010) GAMM-Mitt , vol.33 , pp. 8-24
    • Hager, C.1    Wohlmuth, B.2
  • 21
    • 0041657515 scopus 로고    scopus 로고
    • The primal-dual active set strategy as a semi-smooth Newton method
    • Hintermüller M., Ito K., Kunisch K. The primal-dual active set strategy as a semi-smooth Newton method. SIAM J Optim 2003, 13:865-888.
    • (2003) SIAM J Optim , vol.13 , pp. 865-888
    • Hintermüller, M.1    Ito, K.2    Kunisch, K.3
  • 22
    • 18144376701 scopus 로고    scopus 로고
    • A primal-dual active set strategy for non-linear multibody contact problems
    • Hüeber S., Wohlmuth B. A primal-dual active set strategy for non-linear multibody contact problems. Comput Methods Appl Mech Eng 2005, 194:3147-3166.
    • (2005) Comput Methods Appl Mech Eng , vol.194 , pp. 3147-3166
    • Hüeber, S.1    Wohlmuth, B.2
  • 23
    • 79960218504 scopus 로고    scopus 로고
    • IAPWS. Release on the IAPWS industrial formulation 1997 for the thermodynamic properties of water and steam. (Int Assoc for the Properties of Water and Steam).
    • IAPWS. Release on the IAPWS industrial formulation 1997 for the thermodynamic properties of water and steam. ; 1997. (Int Assoc for the Properties of Water and Steam). http://www.iapws.org.
    • (1997)
  • 24
    • 79960256122 scopus 로고    scopus 로고
    • IAPWS. Guideline on the Henry's constant and vapor-liquid distribution constant for gases in H2O and D2O at high temperatures. (Int Assoc for the Properties of Water and Steam).
    • IAPWS. Guideline on the Henry's constant and vapor-liquid distribution constant for gases in H2O and D2O at high temperatures. ; 2004. (Int Assoc for the Properties of Water and Steam). http://www.iapws.org.
    • (2004)
  • 25
    • 79960224735 scopus 로고    scopus 로고
    • IAPWS. Release on the IAPWS formulation 2008 for the viscosity of ordinary water substance.
    • IAPWS. Release on the IAPWS formulation 2008 for the viscosity of ordinary water substance. ; 2008. http://www.iapws.org.
    • (2008)
  • 26
    • 79960271595 scopus 로고    scopus 로고
    • IPCC. Special report on carbon dioxide capture and storage. Technical Report. (Intergovernmental Panel on Climate Change).
    • IPCC. Special report on carbon dioxide capture and storage. Technical Report. (Intergovernmental Panel on Climate Change); 2005.
    • (2005)
  • 27
    • 0037261943 scopus 로고    scopus 로고
    • Semi-smooth Newton methods for variational inequalities of the first kind, M2AN
    • Ito K., Kunisch K. Semi-smooth Newton methods for variational inequalities of the first kind, M2AN. Math Model Numer Anal 2003, 37:41-62.
    • (2003) Math Model Numer Anal , vol.37 , pp. 41-62
    • Ito, K.1    Kunisch, K.2
  • 28
    • 79960212619 scopus 로고
    • Considerations in the development of multipurpose reservoir simulation models In: Proceedings of the 1st and 2nd international forum on reservoir simulation. Alpbach, Austria, September 12-16, 1988 and September 4-8
    • Aziz K, Wong TW, Considerations in the development of multipurpose reservoir simulation models In: Proceedings of the 1st and 2nd international forum on reservoir simulation. Alpbach, Austria, September 12-16, 1988 and September 4-8, 1989.
    • (1989)
    • Aziz, K.1    Wong, T.W.2
  • 30
    • 85088549530 scopus 로고
    • Fifth comparative solution project: evaluation of miscible flood simulators. Society of Petroleum Engineers SPE 16000.
    • Killough JE, Kossack CA. Fifth comparative solution project: evaluation of miscible flood simulators. Society of Petroleum Engineers SPE 16000; 1987.
    • (1987)
    • Killough, J.E.1    Kossack, C.A.2
  • 32
    • 0038811738 scopus 로고    scopus 로고
    • Primal-dual active set strategy for a general class of constrained optimal control problems
    • Kunisch K., Rösch A. Primal-dual active set strategy for a general class of constrained optimal control problems. SIAM J Optim 2002, 13:321-334.
    • (2002) SIAM J Optim , vol.13 , pp. 321-334
    • Kunisch, K.1    Rösch, A.2
  • 33
    • 0001192714 scopus 로고
    • Capillary behavior in porous solids
    • Leverett M. Capillary behavior in porous solids. AIME Petroleum Trans 1941, 142:152-169.
    • (1941) AIME Petroleum Trans , vol.142 , pp. 152-169
    • Leverett, M.1
  • 34
    • 1542740133 scopus 로고
    • The isothermal flash problem. part II. Phase-split calculation
    • Michelsen M.L. The isothermal flash problem. part II. Phase-split calculation. Fluid Phase Equilibria 1982, 9:21-40.
    • (1982) Fluid Phase Equilibria , vol.9 , pp. 21-40
    • Michelsen, M.L.1
  • 35
    • 0000012763 scopus 로고
    • Semismooth and semiconvex functions in constrained optimization
    • Mifflin R. Semismooth and semiconvex functions in constrained optimization. SIAM J Control Optim 1977, 15:959-972.
    • (1977) SIAM J Control Optim , vol.15 , pp. 959-972
    • Mifflin, R.1
  • 36
    • 34548295739 scopus 로고    scopus 로고
    • Multi-scale modeling of three-phase-three-component processes in heterogeneous porous media
    • Niessner J., Helmig R. Multi-scale modeling of three-phase-three-component processes in heterogeneous porous media. Adv Water Resour 2007, 30:2309-2325.
    • (2007) Adv Water Resour , vol.30 , pp. 2309-2325
    • Niessner, J.1    Helmig, R.2
  • 37
    • 34250083447 scopus 로고
    • NE/SQP: a robust algorithm for the nonlinear complementarity problem
    • Pang J.S., Gabriel S.A. NE/SQP: a robust algorithm for the nonlinear complementarity problem. Math Progr 1993, 60:295-337.
    • (1993) Math Progr , vol.60 , pp. 295-337
    • Pang, J.S.1    Gabriel, S.A.2
  • 38
    • 69249090888 scopus 로고    scopus 로고
    • A finite deformation mortar contact formulation using a primal-dual active set strategy
    • Popp A., Gee M.W., Wall W.A. A finite deformation mortar contact formulation using a primal-dual active set strategy. Int J Numer Methods Eng 2009, 79:1354-1391.
    • (2009) Int J Numer Methods Eng , vol.79 , pp. 1354-1391
    • Popp, A.1    Gee, M.W.2    Wall, W.A.3
  • 39
    • 0027543961 scopus 로고
    • A nonsmooth version of Newton's method
    • Qi L., Sun J. A nonsmooth version of Newton's method. Math Prog 1993, 58:353-367.
    • (1993) Math Prog , vol.58 , pp. 353-367
    • Qi, L.1    Sun, J.2
  • 42
    • 0028433923 scopus 로고
    • In situ remediation of contaminated ground water: the funnel-and-gate system
    • Starr R.C., Cherry J.A. In situ remediation of contaminated ground water: the funnel-and-gate system. Ground Water 1994, 32:465-476.
    • (1994) Ground Water , vol.32 , pp. 465-476
    • Starr, R.C.1    Cherry, J.A.2
  • 43
    • 0022010689 scopus 로고
    • Heat transfer in porous media considering phase change and capillarity - the heat pipe effect
    • Udell K.S. Heat transfer in porous media considering phase change and capillarity - the heat pipe effect. Int J Heat Mass Transfer 1985, 28:485-495.
    • (1985) Int J Heat Mass Transfer , vol.28 , pp. 485-495
    • Udell, K.S.1
  • 45
    • 0020834270 scopus 로고
    • A generalized compositional approach for reservoir simulation
    • Young L., Stephenson R. A generalized compositional approach for reservoir simulation. SPE J 1983, 23:727-742.
    • (1983) SPE J , vol.23 , pp. 727-742
    • Young, L.1    Stephenson, R.2


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