Assareh, M. (2017). Reduction of Reservoir Fluid Equilibrium Calculation for Peng-Robinson EOS with Zero Interaction Coefficients. Journal of Petroleum Science and Technology, 7(2), 62-76. doi: 10.22078/jpst.2017.749

Mehdi Assareh. "Reduction of Reservoir Fluid Equilibrium Calculation for Peng-Robinson EOS with Zero Interaction Coefficients". Journal of Petroleum Science and Technology, 7, 2, 2017, 62-76. doi: 10.22078/jpst.2017.749

Assareh, M. (2017). 'Reduction of Reservoir Fluid Equilibrium Calculation for Peng-Robinson EOS with Zero Interaction Coefficients', Journal of Petroleum Science and Technology, 7(2), pp. 62-76. doi: 10.22078/jpst.2017.749

Assareh, M. Reduction of Reservoir Fluid Equilibrium Calculation for Peng-Robinson EOS with Zero Interaction Coefficients. Journal of Petroleum Science and Technology, 2017; 7(2): 62-76. doi: 10.22078/jpst.2017.749

Reduction of Reservoir Fluid Equilibrium Calculation for Peng-Robinson EOS with Zero Interaction Coefficients

^{}Iran University of Technology Faculty of Chemical Engineering

Abstract

For some of the EOS models the dimension of equilibrium problem can be reduced. Stability and difficulties in implementation are among the problems of flash calculation. In this work, a new reduction technique is presented to prepare a reduced number of equilibrium equations. Afterwards, a number of appropriate solution variables are selected for the prepared equation system to solve the equations in an efficient numerical scheme. All the derivatives and solution procedures for the new reduced flash calculation framework were prepared based on Peng-Robinson equation of state. One reservoir oil sample and one gas condensate sample were selected from published literature to evaluate the proposed method for the calculations of reservoir fluids equilibrium. The equilibrium calculations with the proposed reduction technique were compared to full flash calculations. The reduced formulation implementation is simple and straightforward as it is derived from full flash fugacity equality criteria. The presented technique not only reduces the number of equations, and hence simplifies flash problem, but also presents a comparable convergence behavior and offers the same solution system for different reservoir fluid types. The results, demonstrates the proposed method performance and the accuracy for modeling with complex equilibrium calculations like compositional reservoir simulation when there are many components available in the mixture fluid description.

Wang P. and Stenby E. H., “Non-iterative Flash Calculation Algorithm in Compositional Reservoir Simulation,” Fluid Phase Equilibria, 1994, 95, 93-108.

Michelsen M. L., “Simplified Flash Calculations for Cubic Equations of State,” Industrial & Engineering Chemistry Process Design and Development, 1986, 25, 184-188.

Jensen B. H. and Fredenslund A., “A Simplified Flash Procedure for Multicomponent Mixtures Containing Hydrocarbons and One Non-hydrocarbon using Two-parameter Cubic Equations of State,” Industrial & Engineering Chemistry Research, 1987, 26, 2129-2134.

Hendriks E. M., “Reduction Theorem for Phase Equilibrium Problems,” Industrial & Engineering Chemistry Research, 1988, 27, 1728-1732.

Li Y. and Johns R. T., “Rapid Flash Calculations for Compositional Simulation,” SPE Reservoir Evaluation and Engineering, 2006.

Nichita D. V., Broseta D., and Leibovici C. F., “Reservoir Fluid Applications of a Pseudo-component Delumping New Analytical Procedure,” Journal of Petroleum Science and Engineering, 2007, 59, 59-72.

Hoteit H. and Firoozabadi A., “Simple Phase Stability-testing Algorithm in the Reduction Method,” AIChE Journal, 2006, 52, 2909-2920.

Nichita D. V. and Gracia, A., “A New Reduction Method for Phase Equilibrium Calculations,” Fluid Phase Equilibria, 2011, 302, 226-233.

Belkadi A., Yan W., Moggia E., Michelsen M. L., Stenby E. H., Aavatsmark I., et al., “Speeding Up Compositional Reservoir Simulation through an Efficient Implementation of Phase Equilibrium Calculation,” SPE-163598-MS, Woodlands, Texas, USA, 2013.

Gaganis V., Marinakis D., and Varotsis N., “A General Framework of Model Functions for Rapid and Robust Solution of Rachford–Rice type of Equations,” Fluid Phase Equilibria, 2012, 322–323, 9-18.

Gaganis V. and Varotsis N., “An Improved BIP Matrix Decomposition Method for Reduced Flash Calculations,” Fluid Phase Equilibria, 2013, 340, 63-76.

Gorucu S. E. and Johns R. T., “New Reduced Parameters for Flash Calculations Based on Two-parameter BIP Formula,” Journal of Petroleum Science and Engineering, 2014, 116, 50-58.

Qiu L., Wang, Y., Jiao, Q., Wang, H., and Reitz, R. D., “Development of a Thermodynamically Consistent, Robust and Efficient Phase Equilibrium Solver and its Validations,” Fuel, 2014, 115, 1-16.

Gaganis V. and Varotsis, N., “An Integrated Approach for Rapid Phase Behavior Calculations in Compositional Modeling,” Journal of Petroleum Science and Engineering, 2014, 118, 74-87.

Nichita D. V. and Petitfrere, M., “Phase Stability Analysis using a Reduction Method,” Fluid Phase Equilibria, 2013, 358, 27-39.

Petitfrere M. and Nichita, D. V., “Multiphase equilibrium calculations using a reduction method,” Fluid Phase Equilibria, 2015, 401, 110-126.

Petitfrere M. and Nichita D. V., “A Comparison of Conventional and Reduction Approaches for Phase Equilibrium Calculations,” Fluid Phase Equilibria, 2015, 386, 30-46.

Haugen K. B. and Beckner B. L., “Highly Optimized Phase Equilibrium Calculations,” SPE-163583-MS, Society of Petroleum Engineers, Woodlands, Texas, USA 2013.

Riazi M. R., “Characterization and Properties of Petroleum Fractions,” ASTM, 2005.

Jaubert J.N. l. A. and Laurent S., “A Crude Oil Data Bank Containing more than 5000 PVT and Gas Injection Data,” Journal of Petroleum Science and Engineering, 2002, 34, 65-107.