Tie-Simplex-Based Phase-Behavior Modeling in an IMPEC Reservoir Simulator
- Mohsen Rezaveisi (University of Texas at Austin) | Kamy Sepehrnoori (University of Texas at Austin) | Russell T. Johns (Pennsylvania State University)
- Document ID
- Society of Petroleum Engineers
- SPE Journal
- Publication Date
- April 2014
- Document Type
- Journal Paper
- 327 - 339
- 2013.Society of Petroleum Engineers
- 5.2.2 Fluid Modeling, Equations of State, 5.2.1 Phase Behavior and PVT Measurements, 5.5 Reservoir Simulation
- CSAT, flash calculations speedup, compositional simulation, Tie-simplex-based phase behavior modeling, tie-line
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- 301 since 2007
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Recently, tie-simplex-based phase-behavior modeling in reservoir simulators has been applied and investigated as a potential method for improving the computational speed of equation-of-state (EOS) -based reservoir simulators. We implemented compositional-space adaptive tabulation (CSAT), the most promising tie-simplex-based method, in UTCOMP, the University of Texas’ in-house IMPEC compositional reservoir simulator, to investigate its computational efficiency compared with the phase-behavior algorithm in UTCOMP. The results show that applying CSAT only to skip stability analysis does improve the computational time, but only when a significant portion of the gridblocks are in the single-phase region and no other technique for avoiding stability analysis is used. However, in most cases, there is little or no computational advantage to use of CSAT when the simple option in UTCOMP is used where stability analysis is skipped for blocks surrounded by single-phase regions. We explore in detail the performance of CSAT, which depends significantly on the specific gas flood modeled, and the number of tie-lines generated during adaptive tabulation. The results shed light on applicability of CSAT in the IMPEC-type compositional reservoir simulators and show that the advantages of CSAT in this type of simulator are not as great as are reported in literature for fully implicit or adaptive implicit formulations.
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Ahmadi, K. and Johns, R. T. 2011. Multiple-Mixing-Cell Method for MMP Calculations. SPE J. 16 (4): 733-742. http://dx.doi.org/10.2118/116823-PA.
Baker, L. E., Pierce, A. C. and Luks, K. D. 1982. Gibbs Energy Analysis of Phase Equilibria. SPE J. 22 (5): 731-742. http://dx.doi.org/10.2118/9806-PA.
Belkadi, A., Yan, W., Michelsen, M. L., et al. 2011. Comparison of Two Methods for Speeding up Flash Calculations in Compositional Simulations. Paper SPE 142132 presented at the SPE Reservoir Simulation Symposium, The Woodlands,Texas, 21-23 February. http://dx.doi.org/10.2118/142132-MS.
Chang, Y. B. 1990. Development and Application of an Equation of stateCompositional Simulator. PhD dissertation, University of Texas at Austin, Austin, Texas (1990).
Corey, A. T. 1986. Mathematics of Immiscible Fluids in Porous Media. Water Resources Publication, Littleton (CO).
Dindoruk, B. 1992. Analytical Theory of Multiphase, MulticomponentDisplacement in Porous Media. PhD dissertation, Stanford University, Stanford,CA (1992).
Dindoruk, B., Orr, F. M. Jr. and Johns, R. T. 1997. Theory of MulticontactMiscible Displacement with Nitrogen. SPE J. 2 (3): 268-279. http://dx.doi.org/10.2118/30771-PA.
Gautam, R. and Seider, W. D. 1979. Computation of Phase and chemicalEquilibrium: Part I. Local and Constrained Minima in Gibbs Free Energy. AIChE J. 25 (6): 991-999. http://dx.doi.org/10.1002/aic.690250610.
Hendriks, E. M. and Van Bergen, A. R. D. 1992. Application of a Reduction Method to Phase Equilibria Calculations. Fluid Phase Equilibr 74 (15 July): 17-34. http://dx.doi.org/10.1016/0378-3812(92)85050-I.
Jensen, B. H. and Fredenslund, A. 1987. A Simplified Flash Procedure for Multicomponent Mixtures Containing Hydrocarbons and One Non-Hydrocarbon UsingTwo-Parameter Cubic Equation of State. Ind. Eng. Chem. Res. 26(10): 2129-2134. http://dx.doi.org/10.1021/ie00070a032.
Johns, R. T. 1992. Analytical Theory of Multicomponent Gas Drives With Two-Phase Mass Transfer. PhD dissertation, Stanford University, Stanford,California (1992).
Johns, R. T. and Orr, F. M. Jr. 1996. Miscible Gas Displacement of Multicomponent Oils. SPE J. 1 (1): 39-50. http://dx.doi.org/10.2118/30798-PA.
Kenyon, D. and Behie, G. A. 1987. Third SPE Comparative Project: Gas Cycling of Retrograde Condensate Reservoirs. J. Pet. Tech. 39 (8):981-997. http://dx.doi./org/10.2118/12278-PA.
Killough, J. E. and Kossack, C. A. 1987. Fifth Comparative Solution Project: Evaluation of Miscible Flood Simulators. Paper SPE 16000 presented at the SPE Symposium on Reservoir Simulation, San Antonio, Texas, 1-4 February. http://dx.doi.org/10.2118/16000-MS.
Li, Y. and Johns, R. T. 2006. Rapid Flash Calculations for Compositional Simulation. SPE Res Eval & Eng 9 (5): 521-529. http://dx.doi.org/10.2118/95732-PA.
Okuno, R. 2009. Modeling of Multiphase Behavior for Gas Flooding Simulation.PhD dissertation, University of Texas at Austin, Austin, Texas (2009).
Okuno, R., Johns, R. T. and Sepehrnoori, K. 2010. Three-Phase Flash in Compositional Simulation Using a Reduced Method. SPE J. 15(3): 689-703. http://dx.doi.org/10.2118/125226-PA.
Michelsen, M. L. 1982a. The Isothermal Flash Problem: Part I: Stability Analysis. Fluid Phase Equilibr 9 (1): 1-19. http://dx.doi.org/10.1016/0378-3812(82)85001-2.
Michelsen, M. L. 1982b. The Isothermal Flash Problem: Part II: Phase-Split Calculations. Fluid Phase Equilibr 9 (1): 21-40. http://dx.doi.org/10.1016/0378-3812(82)85002-4.
Michelsen, M. L. 1986. Simplified Flash Calculations for Cubic Equations ofState. Ind. Eng. Chem. Process DD 25 (1): 184-188. http://dx.doi.org/10.1021/i200032a029.
Mohebbinia, S., Sepehrnoori, K. and Johns, R. T. 2012. Four-Phase Equilibrium Calculations of CO2/Hydrocarbon/Water Systems Using a Reduced Method. Paper SPE 154218 presented at the SPE Improved Oil Recovery Symposium, Tulsa, Oklahoma, 14-18 April. http://dx.doi.org/10.2118/154218-MS.
Orr, F. M. Jr. 2007. Theory of Gas Injection Processes. Copenhagen,Denmark: Tie-line Publications.
Peng, D. Y. and Robinson, D. B. 1976. A New Two-Constant Equation of State.Ind. Eng. Chem. Fund. 15 (1): 59-64. http://dx.doi.org/10.1021/i160057a011.
PennPVT Toolkit. 2010. Gas Flooding Joint Industry Project, EMS EnergyInstitute, Pennsylvania State University, University Park, Pennsylvania.
Perschke, D. R. 1988. Equation of State Phase Behavior Modeling for Compositional Simulation. PhD dissertation, University of Texas at Austin, Austin, Texas (1988).
Rachford, H. H. Jr. and Rice, J. D. 1952. Procedure for Use of Electronic Digital Computers in Calculating Flash Vaporization Hydrocarbon Equilibrium.J. Pet. Tech. 4 (10): 19, 3. http://dx.doi.org/10.2118/952327-G.
Rasmussen, C. P., Krejberg, K., Michelsen, M. L., et al. 2006. Increasing the Computational Speed of Flash Calculations with Applications for Compositional, Transient Simulations. SPE Res Eval & Eng 9 (1): 32-38. http://dx.doi.org/10.2118/84181-PA.
Trangenstein, J. A. 1985. Minimization of Gibbs Free Energy in Compositional Reservoir Simulation. Paper SPE 13520 presented at the SPE Reservoir Simulation Symposium, Dallas, Texas, 10-13 February. http://dx.doi.org/10.2118/13520-MS.
Voskov, D. V. and Tchelepi, H. A. 2007. Compositional Space Parameterization for Flow Simulation. Paper SPE 106029 presented at the SPE Reservoir SimulationSymposium, Houston, Texas, 26-28 February. http://dx.doi.org/10.2118/106029-MS.
Voskov, D. V. and Tchelepi, H. A. 2009a. Compositional Space Parameterization: Theory and Application for Immiscible Displacement. SPEJ. 14 (3): 431-440. http://dx.doi.org/10.2118/106029-PA.
Voskov, D. V. and Tchelepi, H. A. 2009b. Compositional Space Parameterization: Multicontact Miscible Displacements and Extension to Multiple Phases. SPE J. 14 (3): 441-449. http://dx.doi.org/10.2118/113492-PA.
Voskov, D. V. and Tchelepi, H. A. 2009c. Tie-Simplex-Based Mathematical Framework for Thermodynamical Equilibrium Computation of Mixtures with an Arbitrary Number of Phases. Fluid Phase Equilibr 283 (1-2):1-11. http://dx.doi.org/10.1016/j.fluid.2009.04.018.
Wang, Y. and Orr, F. M. Jr. 1997. Analytical Calculation of Minimum Miscibility Pressure. Fluid Phase Equilibr 139 (1-2):101-124. http://dx.doi.org/10.1016/S0378-3812(97)00179-9.