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2018 | OriginalPaper | Chapter

4. Analytical Model for Non Stress Sensitive Naturally Fractured Carbonate Reservoirs (NFCRs)

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Abstract

This chapter compares the obtained solutions in a fractured medium and a fractured porous medium. Both media are slightly deformable without stress-sensitive. The analysis has been developed chiefly with the aim of obtaining exact analytical expressions for the solution of the mathematical model of carbonate reservoirs.

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Literature
go back to reference Aadnoy, B., & Finjord, J. (1996, August). Analytical solution of the Boltzmann transient line sink for an oil reservoir with pressure-depend formation properties. Journal of Petroleum Science and Engineering, 15, 343–360.CrossRef Aadnoy, B., & Finjord, J. (1996, August). Analytical solution of the Boltzmann transient line sink for an oil reservoir with pressure-depend formation properties. Journal of Petroleum Science and Engineering, 15, 343–360.CrossRef
go back to reference Aguilera, R. (1995). Naturally fractured reservoirs (2nd ed.). Tulsa, OK: Penn Well Books. Aguilera, R. (1995). Naturally fractured reservoirs (2nd ed.). Tulsa, OK: Penn Well Books.
go back to reference Ames, W. F. (1972). Nonlinear partial differential equations in engineering (Vol. II). New York: Academic Press. Ames, W. F. (1972). Nonlinear partial differential equations in engineering (Vol. II). New York: Academic Press.
go back to reference Barenblatt, G. I., Zheltov, Iu. P., & Kochina, I. N. (1960). Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks (OB OSNOVNYKH PBEDSTAVLENIIAKH TEORII FIL’TRATSII ODNORODNYKH ZHIDKOSTEI V TRESHCHINOVATYKH PORODAKH) (G. H. PMM, Trans.) (Vol. 24 (5), pp. 852–864). Barenblatt, G. I., Zheltov, Iu. P., & Kochina, I. N. (1960). Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks (OB OSNOVNYKH PBEDSTAVLENIIAKH TEORII FIL’TRATSII ODNORODNYKH ZHIDKOSTEI V TRESHCHINOVATYKH PORODAKH) (G. H. PMM, Trans.) (Vol. 24 (5), pp. 852–864).
go back to reference Barenblatt, G. I., Entov, V. M., & Ryzhik, V. M. (1990). Theory of fluid flows through natural rocks. Dordrecht: Klumer.CrossRef Barenblatt, G. I., Entov, V. M., & Ryzhik, V. M. (1990). Theory of fluid flows through natural rocks. Dordrecht: Klumer.CrossRef
go back to reference Barros-Galvis, N., Villaseñor, P., & Samaniego, V. F. (2015). Phenomenology and contradictions in carbonate reservoirs. Journal of Petroleum Engineering. Barros-Galvis, N., Villaseñor, P., & Samaniego, V. F. (2015). Phenomenology and contradictions in carbonate reservoirs. Journal of Petroleum Engineering.
go back to reference Burgers, J. M. (1974). The nonlinear diffusion equation, asymtotic solutions and statistical problems (2nd ed.). Dordrecht, Holland: D. Reidel Publishing Company.CrossRef Burgers, J. M. (1974). The nonlinear diffusion equation, asymtotic solutions and statistical problems (2nd ed.). Dordrecht, Holland: D. Reidel Publishing Company.CrossRef
go back to reference Chakrabarty, C., Farouq Ali, S. M., & Tortike, W. S. (1993). Effect of the nonlinear gradient term on the transient pressure solution for a radial flow system. Journal of Petroleum Science and Engineering, 8, 241–256.CrossRef Chakrabarty, C., Farouq Ali, S. M., & Tortike, W. S. (1993). Effect of the nonlinear gradient term on the transient pressure solution for a radial flow system. Journal of Petroleum Science and Engineering, 8, 241–256.CrossRef
go back to reference Cinco-Ley, H. (1996, January). Well-test analysis for naturally fractured reservoirs. Journal of Petroleum Technology, 51–54. SPE 31162.CrossRef Cinco-Ley, H. (1996, January). Well-test analysis for naturally fractured reservoirs. Journal of Petroleum Technology, 51–54. SPE 31162.CrossRef
go back to reference Couland, O., Morel, P., & Caltagirone, J. P. (1986). Effects non lineaires dans les ecoulements en milieu poreux. Comptes Rendus de l’Académie des Sciences—Series II, 302, 263–266. Couland, O., Morel, P., & Caltagirone, J. P. (1986). Effects non lineaires dans les ecoulements en milieu poreux. Comptes Rendus de l’Académie des Sciences—Series II, 302, 263–266.
go back to reference Craft, E. C., & Hawkins, M. (1991). Applied petroleum reservoir engineering. New York, NJ: Prentice Hall. Craft, E. C., & Hawkins, M. (1991). Applied petroleum reservoir engineering. New York, NJ: Prentice Hall.
go back to reference Cunningham, R. E., & Williams, R. J. J. (1980). Diffusion gases and porous media. New York: Plenum Press.CrossRef Cunningham, R. E., & Williams, R. J. J. (1980). Diffusion gases and porous media. New York: Plenum Press.CrossRef
go back to reference Currie, I. G. (2003). Fundamental mechanics of fluids (2nd ed.). New York: McGraw-Hill Book Company. Currie, I. G. (2003). Fundamental mechanics of fluids (2nd ed.). New York: McGraw-Hill Book Company.
go back to reference Dake, L. P. (1998). Fundamentals of reservoir engineering (1 ed., Seventeenth impression). The Netherlands: Elseviers Science. Dake, L. P. (1998). Fundamentals of reservoir engineering (1 ed., Seventeenth impression). The Netherlands: Elseviers Science.
go back to reference Firdaouss, M., Guermond, J.-L., & Le Quére, P. (1997). Nonlinear corrections to Darcy’s law at low reynolds numbers. Journal of Fluid Mechanics, 343, 331–350.CrossRef Firdaouss, M., Guermond, J.-L., & Le Quére, P. (1997). Nonlinear corrections to Darcy’s law at low reynolds numbers. Journal of Fluid Mechanics, 343, 331–350.CrossRef
go back to reference Friedel, T., & Voigt, H.-D. (2009). Analytical Solutions for the Radial Flow Equation with Constant-Rate and Constant-Pressure Boundary Conditions in Reservoirs with Pressure-Sensitive Permeability. Paper SPE 122768 presented at the SPE Rocky Mountain Petroleum Technology, Denver, Colorado, USA, April 14–16. Friedel, T., & Voigt, H.-D. (2009). Analytical Solutions for the Radial Flow Equation with Constant-Rate and Constant-Pressure Boundary Conditions in Reservoirs with Pressure-Sensitive Permeability. Paper SPE 122768 presented at the SPE Rocky Mountain Petroleum Technology, Denver, Colorado, USA, April 14–16.
go back to reference Lee, J., Rollins, J. B., & Spivey, J. P. (2003). Pressure transient testing in wells (Vol. 9, pp. 1–9). Richardson, TX: Monograph Series, SPE. Lee, J., Rollins, J. B., & Spivey, J. P. (2003). Pressure transient testing in wells (Vol. 9, pp. 1–9). Richardson, TX: Monograph Series, SPE.
go back to reference Matthews, C. S., & Russell, D. G. (1967). Pressure buildup and flow tests in wells (Vol. 1, pp. 4–9). Richardson, TX: Monograph Series, SPE. Matthews, C. S., & Russell, D. G. (1967). Pressure buildup and flow tests in wells (Vol. 1, pp. 4–9). Richardson, TX: Monograph Series, SPE.
go back to reference Muskat, M. (1946). Flow of homogeneous fluids through porous media (2nd ed., p. 145). Ann Arbor, MI: J.W. Edwards. Muskat, M. (1946). Flow of homogeneous fluids through porous media (2nd ed., p. 145). Ann Arbor, MI: J.W. Edwards.
go back to reference Nelson, R. (2001). Geologic analysis of naturally fractured reservoirs (2nd ed.). New York: Gulf Professional Publishing, BP-Amoco. Nelson, R. (2001). Geologic analysis of naturally fractured reservoirs (2nd ed.). New York: Gulf Professional Publishing, BP-Amoco.
go back to reference Odeh, A. S., & Babu, D. K. (1988). Comparison of solutions of the nonlinear and linearized diffusion equations (pp. 1202–1206). SPE Reservoir Engineering, SPE 17270.CrossRef Odeh, A. S., & Babu, D. K. (1988). Comparison of solutions of the nonlinear and linearized diffusion equations (pp. 1202–1206). SPE Reservoir Engineering, SPE 17270.CrossRef
go back to reference Polubarinova-Kochina, P. (1962). Theory of ground water movement (1st ed.) (J.M. Roger De Wiest, Trans.). Princenton, New Jersey: Princenton University Press. Polubarinova-Kochina, P. (1962). Theory of ground water movement (1st ed.) (J.M. Roger De Wiest, Trans.). Princenton, New Jersey: Princenton University Press.
go back to reference Potter, M., & Wiggert, D. (2007). Mechanics of fluids (3rd ed.). México: Prentice Hall. Potter, M., & Wiggert, D. (2007). Mechanics of fluids (3rd ed.). México: Prentice Hall.
go back to reference Reiss, L. H. (1980). The reservoir engineering aspects of fractured formations. Paris: Editions Technip. Reiss, L. H. (1980). The reservoir engineering aspects of fractured formations. Paris: Editions Technip.
go back to reference Samaniego, F. V., Brigham, W. E., & Miller, F. G. (1979, June). Performance-prediction procedure for transient flow of fluids through pressure-sensitive formations. Journal of Petroleum Technology, 779–786. Samaniego, F. V., Brigham, W. E., & Miller, F. G. (1979, June). Performance-prediction procedure for transient flow of fluids through pressure-sensitive formations. Journal of Petroleum Technology, 779–786.
go back to reference Scheidegger, A. E. (1960). The physics of flow through porous media (2nd ed.). New York: The MacMillan Company. Scheidegger, A. E. (1960). The physics of flow through porous media (2nd ed.). New York: The MacMillan Company.
go back to reference Schneebeli, G. (1955). Experiences sur la limite de validité de la loi de Darcy et l’apparition de la turbulence dans un écoulement de filtration. Houille Blanche No, 2, 141–149.CrossRef Schneebeli, G. (1955). Experiences sur la limite de validité de la loi de Darcy et l’apparition de la turbulence dans un écoulement de filtration. Houille Blanche No, 2, 141–149.CrossRef
go back to reference Singh, K. D., & Sharma, R. (2001). Three dimensional couette flow through a porous medium with heat transfer. Indian Journal of Pure & Applied Mathematics, 32(12), 1819–1829. Singh, K. D., & Sharma, R. (2001). Three dimensional couette flow through a porous medium with heat transfer. Indian Journal of Pure & Applied Mathematics, 32(12), 1819–1829.
go back to reference Singha, D., Al-Shammeli, A., Verma, N. K., et al. (2012, December). Characterizing and modeling natural fracture networks in a tight carbonate reservoir in the middle east: A methodology. Bulletin of the Geological Society of Malaysia, 58, 29–35. Singha, D., Al-Shammeli, A., Verma, N. K., et al. (2012, December). Characterizing and modeling natural fracture networks in a tight carbonate reservoir in the middle east: A methodology. Bulletin of the Geological Society of Malaysia, 58, 29–35.
go back to reference Stark, K. P. (1972). A numerical study of the nonlinear laminar regime of flow in an idealized porous medium (pp. 86–102). Fundamentals of Transport Phen- omena in Porous Media, Amterdam: Elsevier.CrossRef Stark, K. P. (1972). A numerical study of the nonlinear laminar regime of flow in an idealized porous medium (pp. 86–102). Fundamentals of Transport Phen- omena in Porous Media, Amterdam: Elsevier.CrossRef
go back to reference Tong, D.-K., & Wang, R.-H. (2005). Exact solution of pressure transient model or fluid flow in fractal reservoir including a quadratic gradient term. Energy Sources, 27, 1205–1215.CrossRef Tong, D.-K., & Wang, R.-H. (2005). Exact solution of pressure transient model or fluid flow in fractal reservoir including a quadratic gradient term. Energy Sources, 27, 1205–1215.CrossRef
go back to reference Treybal, R. E. (1980). Mass-transfer operations (3rd ed.). New York: McGraw Hill. Treybal, R. E. (1980). Mass-transfer operations (3rd ed.). New York: McGraw Hill.
go back to reference Xu-long, C., Tong, D.-K., & Wang, R.-H. (2004, January). Exact solutions for nonlinear transient flow model including a quadratic gradient term. Applied Mathematics and Mechanics. English Edition, 25(1), 102–109.CrossRef Xu-long, C., Tong, D.-K., & Wang, R.-H. (2004, January). Exact solutions for nonlinear transient flow model including a quadratic gradient term. Applied Mathematics and Mechanics. English Edition, 25(1), 102–109.CrossRef
Metadata
Title
Analytical Model for Non Stress Sensitive Naturally Fractured Carbonate Reservoirs (NFCRs)
Author
Nelson Enrique Barros Galvis
Copyright Year
2018
DOI
https://doi.org/10.1007/978-3-319-77501-2_4