Abstract
This article presents a new well test model for two-zone linear composite reservoirs, where the rock and fluid properties as well as the formation thicknesses on both sides of the discontinuity are distinctly different. An analytical solution of pressure-transient behavior for a line-source, constant-rate well in this type of reservoir configuration is obtained with Fourier space transformation and Laplace transformation. By applying Duhamel principle, the wellbore storage and skins effects can easily be included. A set of type curves are generated and the sensitivities of the relevant parameters are discussed. A new correlating parameter Mh D/√ηD is proposed to identify the pressure response in the pressure derivative curve. The model as well as the corresponding type curves are quite general that they are useful in predicting the production performance or analyzing the production data from this type of well-reservoir systems.
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YANG Jian, YAO Jun and WANG Zi-sheng. Study of pressure-transient characteristic for triple-medium composite reservoirs[J]. Journal of Hydrodynamics, Ser. A, 2005, 20(4): 418–425(in Chinese).
LU Xiu-feng, LIU Zhen-yu and ZHAO Qiu-li et al. The theoretical analysis of heterogeneous reservoir with multi-zones by using finite element method[J]. Journal of Hydrodynamics, Ser. A, 2005, 20(5): 571–576(in Chinese).
HE Ying-fu, YIN Hong-jun and LIN Mu et al. Pressure transient analysis of composite reservoir using the boundary element method[J]. Journal of Hydrodynamics, Ser. A, 2006, 21(6): 700–705(in Chinese).
SHAN Lian-tao, TONG Deng-ke and XUE Li-li. Unsteady flow of non-Newtonian visco-elastic fluid in dual-porosity media with the fractional derivative[J]. Journal of Hydrodynamics, 2009, 21(5): 705–713.
WANG Ya-ru, WANG Xiao-dong and SHI Zai-hong et al. Pressure drawdown analysis for the non-Newtonian power-law fluid in bounded reservoirs[J]. Journal of Hydrodynamics, Ser. A, 2009, 24(1): 36–42(in Chinese).
CHENG Shi-qing, ZHANG Li-jun and LI Xiang-fang. Well-test analysis of multi-branched horizontal wells in a triple medium reservoir[J]. Chinese Journal of Hydrodynamics, 2009, 24(2): 127–132(in Chinese).
WANG Xiao-dong, ZHOU Ying-fang and LUO Wan-jing. A study on transient fluid flow of horizontal wells in dual-permeability media[J]. Journal of Hydrodynamics, 2010, 22(1): 44–50.
ZHAO Yu-long, ZHANG Lie-hui and QING Sheng-lan. Well test model and typical curve analysis of non-Newtonian fluid’s transient flow in triple media reservoirs[J]. Chinese Journal of Hydrodynamics, 2010, 25(2): 254–261(in Chinese).
BIXEL H. C., LARKIN B. K. and Van POOLLEN H. K. Effect of linear discontinuities on pressure build-up and drawdown behavior[J]. Journal of Petroleum Technology, 1963, 15(8): 885–895.
STRELTSOVA T. D., MCKINLEY R. M. Effect of flow time duration on build-up pattern for reservoirs with heterogeneous properties[J]. SPE Journal, 1984, 24(3): 294–306.
AMBASTHA A. K., MCLEROY P. G. and GRADER A. S. Effects of a partially communicating fault in a composite reservoir on transient pressure testing[J]. SPE Formation Evaluation, 1989, 4(2): 210–218.
BOURGEOIS M. J., DAVIAU F. H. and BOUTAUD DE LA COMBE J.-L. Pressure behavior in finite channel-levee complexes[J]. SPE Formation Evaluation, 1996, 11(3): 177–184.
KUCHUK F. J., HABASHY T. M. Pressure behavior of laterally composite reservoir[J]. SPE Formation Evaluation, 1997, 12(1): 47–56.
FARLOW S. J. Partial differential equations for scientists and engineers[M]. New York: John Wiley and Sons Inc., 1982, 73–74.
STEHFEST H. Numerical inversion of Laplace transforms[J]. Communications of the ACM, 1970, 13(1): 47–49.
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Project supported by the National Key Basic Research Program of China (973 Program, Grant No.2006CB705808), the State Major Science and Technology Special Project during the 11th Five-year Plan (Grant No.2008ZX05054).
Biography: Zhang Lie-hui (1967-), Male, Ph. D., Professor
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Zhang, Lh., Guo, Jj. & Liu, Qg. A New Well Test Model for a Two-Zone Linear Composite Reservoir with Varied Thicknesses. J Hydrodyn 22, 804–809 (2010). https://doi.org/10.1016/S1001-6058(09)60119-0
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DOI: https://doi.org/10.1016/S1001-6058(09)60119-0