Abstract
According to the experimental results and the characteristics of the pressure-sensitive fractured formation, a transient flow model is developed for the deep naturally-fractured reservoirs with different outer boundary conditions. The finite element equations for the model are derived. After generating the unstructured grids in the solution regions, the finite element method is used to calculate the pressure type curves for the pressure-sensitive fractured reservoir with different outer boundaries, such as the infinite boundary, circle boundary and combined linear boundaries, and the characteristics of the type curves are comparatively analyzed. The effects on the pressure curves caused by pressure sensitivity module and the effective radius combined parameter are determined, and the method for calculating the pressure-sensitive reservoir parameters is introduced. By analyzing the real field case in the high temperature and pressure reservoir, the perfect results show that the transient flow model for the pressure-sensitive fractured reservoir in this paper is correct.
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References
Thomas R D, Wardd D C. Effect of overburden pressure and water saturation on gas permeability of tight sandstone cores. J Pet Technol, 1972, 24(2): 120–124
Jones F O, Owens W W. A laboratory study of the low permeability gas sands. J Pet Technol, 1980, 32(9): 1631–1640
Kilmer N H, Morrow N R, Pitman J K. Pressure sensitivity of low permeability sandstones. J Pet Sci Eng, 1987, 1(1): 65–81
Vairogs J, Hearn C L, Dareing D W, et al. Effect of rock stress on gas production from low-permeability reservoirs. J Pet Technol, 1971, 23(9): 1161–1167
Terzaghi K. Theoretical Soil Mechanics. New York: Wiley, 1943
Biot M A. General theory of three-dimensional consolidation. J Appl Phys, 1941, 12(2): 155–164
Geertsma J. The effect of fluid pressure decline on volumetric changes of porous rocks. Trans AIME, 1957, 210(3): 403–524
Finol A, Farouq Ali S M. Numerical simulation of oil production with simultaneous ground subsidence. Soc Pet Eng J, 1975, 15(10): 411–424
Горбунов A T. The Development of Abnormal Reservoir (in Chinese). Zhang S B, trans. Bei**g: Petroleum Industry Press, 1981. 18–42
Raghavan R, Scorer D T, Miller F G. An investigation by numerical methods of the effect of pressure-dependent rock and fluid properties. Soc Pet Eng J, 1972, 12(6): 167–176
Samaniego V F, Brigham W E, Miller F G. An investigation of transient flow of reservoir fluids considering pressure-dependent rock and fluid properties. Soc Pet Eng J, 1977, 17(4): 140–149
Ostensen R W. Micro-crack permeability in tight gas sand-stone. Soc Pet Eng J, 1983, 23(12): 66–69
Pedrosa O A Jr. Pressure transient response in stress-sensitive formations. SPE 15115. The 1986 California Regional Meeting, Oakland, CA, 2–4, April, 1986
Zhang M Y, Ambastha A K. New insights in pressure transient analysis for stress sensitive reservoir. SPE 28420. The 69th Annual Technical Conference and Exhibition held in New Orleans, LA, USA, 25–28, Sept. 1994. 617–627
Yeung K. An approximate analytical study of aquifers with pressure-sensitive formation permeability. Water Resour Res, 1993, 29(10): 3495–3501
Wu Y S, Pruess K. Integral solutions for transient fluid flow through a porous medium with pressure-dependent permeability. Int J Rock Mech Min Sci, 2000, 37(1–2): 51–61
Davies J P, Davies D K. Stress-dependent permeability: Characterization and modeling. SPE 71750. Soc Pet Eng J, 2001, 36(6): 224–235
Osorio J G, Alcalde O R. A numerical model to study the formation damage by rock deformation from well test analysis. SPE 73742. The SPE International Symposium and Exhibition on Formation Damage Control, Lafayette, Louisiana, USA, 20–21 Feb, 2002
Samaniego V F, Villalobos L H. Transient pressure analysis of pressure-dependent naturally fractured reservoirs. J Pet Sci Eng, 2003, 39(1–2): 45–56
Gang H, Dusseault M B. Description of fluid flow around a wellbore with stress-dependent porosity and permeability. J Pet Sci Eng, 2003, 40(1–2): 1–16
Shunde Y, Dusseaultb M B, Rothenburg L. Analytical and numerical analysis of pressure drawdown in a poroelastic reservoir with complete overburden effect considered. Adv Water Resour, 2007, 30(5): 1160–1167
Zhou R, Liu Y W, Zhou F X. Numerical solutions for the transient flow in the homogeneous closed circle reservoirs. Acta Mech Sin, 2003, 19(1): 40–45
Ge J L. The Mechanics of Fluid Flow in Reservoir (in Chinese). Bei**g: Petroleum Industry Press, 1982
Tong D K, Jiang D M, Chen X L. Dynamic characters in dual-porosity deformation reservoir (in Chinese). J Univ Pet, 2005, 25(5): 53–56
Su Y L, Zhang Y G. The development character in deformation reservoir (in Chinese). Acta Petrolei Sin, 2000, 21(2): 51–55
Dong P C. Numerical model of fully coupled fluid solid seepage in a deformable porous media and its application (in Chinese). J Geomech, 2005, 11(3): 273–277
Wang Y F, Liu Y W, Jia Z Q. Well test analysis under the changing porousity and permeability caused by deformable formation (in Chinese). J **’an Shiyou Univ (Nature Science), 2004, 19(2): 17–20
Warren J E, Root P J. Behavior of naturally fractured formations. Soc Pet Eng J, 1963, 3(9): 245–255
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Liu, Y., Chen, W. & Liu, Q. Numerical study on transient flow in the deep naturally fractured reservoir with high pressure. Sci. China Ser. G-Phys. Mech. Astron. 52, 1074–1085 (2009). https://doi.org/10.1007/s11433-009-0121-2
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DOI: https://doi.org/10.1007/s11433-009-0121-2