Three-Phase Modeling of Dynamic Kill in Gas-Condensate Well Using Advection Upstream Splitting Method Hybrid Scheme

Document Type : Research Paper

Authors

Sharif University of Technology

Abstract

Understanding and modeling of three-phase transient flow in gas-condensate wells play a vital role in designing and optimizing dynamic kill procedure of each well that needs to capture the discontinuities in density, geometry, and velocity of phases but also the effect of temperature on such parameters. In this study, two-phase Advection-Upstream-Splitting-Method (AUSMV) hybrid scheme is extended to a three-phase model capable of modeling blowout and dynamic kill in gas-condensate-water wells. In order to better understand and model such a process, density and viscosity changes are calculated using the Peng-Robinson equation of state. Moreover, the resulted simulator enables us to study and model highly changing flow conditions during blowout and dynamic kill process applied to a well in a gas condensate reservoir. In addition, a sensitivity analysis has been conducted on the relief well kill rate, pump step down schedule, and well intersection depth. Moreover, the results reveal the impact and influence of each of these parameters on dynamic kill process. Finally, the model introduced here and the results of the sensitivity analysis using this transient three-phase model can be used to better design a control process for wells in gas condensate reservoirs.

Keywords


REFERENCES
Wada Y. and Liou M. S., “An Accurate and Robust Flux Splitting Scheme for Shock and Contact Discontinuity,” SIAM Journal Science Computer, 1997, 18(3), 633–657.
Udegbunam J. E., Fjelde K. K., Evje S., and Nygaard G., “On the Advection-Upstream Splitting- Method Hybrid Scheme: A Simple Transient-Flow Model for Managed-Pressure-Drilling and Underbalanced-Drilling Applications,” SPE Drilling and Completion, 2015, 30(02), 98-105.
Soprano A. B., Ribeiro G. G., da Silva A. F. C., and Maliska C. R., “Solution of a One-dimensional Three-phase Flow in Horizontal Wells Using a Drift-flux Model,” Mecánica Computacional Journal, 2010, 29, 8767-8779.
Hibiki T. and Ishii M., “One-dimensional Drift-flux Model and Constitutive Equations for Relative Motion between Phases in Various Two-phase Flow Regimes,” International Journal of Heat and Mass Transfer, 2003, 46(10), 1773-1790.
Churchill S. W., “Comprehensive Correlating Equations for Heat, Mass and Momentum Transfer in Fully Developed Flow in Smooth Tubes,” Industrial Engineering Chemistry Fundamental, 1977, 16(1), 109–116.
Evje S. and Fjelde K. K., “On a Rough AUSM Scheme for a One-Dimensional Two-Phase Model,” Computers and Fluids Journal, 32(10), 2003, 1497-1530.
Osher S. “Riemann Solvers, the Entropy Condition, and Difference,” SIAM Journal on Numerical Analysis, 1984, 21(2), 217-235.
Guo X. Q., Sun C. Y., Rong S. X., Chen G. J., and et al., “Equation of State Analog Correlations for the Viscosity and Thermal Conductivity of Hydrocarbons and Reservoir Fluids,” Journal of Petroleum Science and Engineering, 2001, 30, 15–27.
Reid R. C., Prausnitz J. M., and B. E. Poling, “The Properties of Gases and Liquids (4th ed.), McGraw-Hill, New York, 1987.
Kesler M. G. and Lee. B. I., “Improved Prediction of Enthalpy of Fractions,” Hydrocarbon Processing, 1976, 153-158.
Courant R., Friedrichs K., and Lewy H., “Über Die Partiellen Differenzengleichungen der Mathematischen Physik,” Mathematische Annalen (in German), 1928, 100(1), 32-74.