Mathematical modeling of the one-dimensional processes of oil displacement by an active solution

Springer Science and Business Media LLC - Tập 22 - Trang 420-430 - 1987
A. F. Zazovskii1
1Moscow

Tóm tắt

The previously proposed model of oil displacement by an active solution [1, 2] is extended to the case in which the relative phase permeabilities depend on the percolation velocity and interfacial tension as functions of the active agent concentration. For this purpose the phase permeability curves are approximated by functions of two variables — saturation and capillary number. An analytical description of the structure of the displacement zone in an extended stream tube of variable cross section is given for continuous pumping of the active solution and the use of a finite batch (slug). The coefficient of displacement of the oil from the near-well zone and an annular element of the reservoir is calculated by a finite-difference method [3] for various operating conditions. This approach could be useful in analyzing the efficiency of different methods of improving oil recovery.

Tài liệu tham khảo

V. M. Entov, “Physicochemical hydrodynamics of processes in porous media (mathematical models of methods of enhancing oil recovery), Usp. Mekh.,4, 41 (1981). G. I. Barenblatt, V. M. Entov, and V. M. Ryzhik, Motion of Liquids and Gases in Natural Formations [in Russian], Nedra, Moscow (1984). O. M. Alishaeva, “Numerical calculation of problems of oil displacement by an active solution,” in: Functional Analysis: Theory of Functions and their Applications [in Russian], Izd. Dagestan. Un., Makhachkala (1982), p. 12. D. A. Éfros, Investigation of the Flow of Inhomogeneous Systems in Porous Media [in Russian], Gostoptekhizdat, Moscow (1963). G. L. Stegemeier, “Mechanisms of entrapment and mobilization of oil in porous media,” Improved Oil Recovery by Surfactant and Polymer Flooding, Adademic Press, New York (1977), p. 55. J. J. Taber, “Research on enhanced oil recovery: past, present, and future,” Surface Phenomena in Enhanced Oil Recovery, Plenum Press, New York (1981), p. 13. R. G. Larson, H. T. Davis, and L. E. Scriven, “Displacement of residual nonwetting fluid from porous media,” Chem. Eng. Sci.,36, 75 (1981). I. Chatzis and N. R. Morrow, “Correlation of capillary number relationships for sand-stone,” Soc. Pet. Eng. J.,24, 555 (1984). R. G. Larson and G. J. Hirasaki, “Analysis of the physical mechanisms in surfactant flooding,” Soc. Pet. Eng. J.,18, 42 (1978). S. P. Gupta and S. P. Trushenski, “Micellar flooding-compositional effects on oil displacement,” Soc. Pet. Eng. J.,19, 116 (1979). R. A. Fulcher (Jr), T. Erteckin, and C. D. Stahl, “Effect of capillary number and its constituents on two-phase relative premeability curves,” J. Pet. Technol.,37, 249 (1985). Sun Chang Ming and Lu Ping, “The mechanism of two-phase flow in porous media,” Acta Petrolei Sinica,8, 53 (1982). M. G. Bernadiner and V. M. Entov, Hydrodynamic Theory of Anomalous Flow in Porous Media [in Russian], Nauka, Moscow (1975). B. L. Rozhdestvenskii and N. N. Yanenko, Systems of Quasilinear Equations and their Applications to Gas Dynamics [in Russian], Nauka, Moscow (1978). O. M. Alishaeva, V. M. Entov, and A. F. Zazovskii, “Structure of combined saturation and concentration discontinuities in problems of oil displacement by an active solution,” Zh. Prikl. Mekh. Tekh. Fiz., No. 5, 93 (1982). J. Downie and F. E. Crane, “Effect of viscosity on relative premeability,” Soc. Pet. Eng. J.,1, 59 (1961). A. F. Zazovskii, “Nonisothermal displacement of oil from uninsulated reservoirs by water,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 5, 91 (1983). P. G. Bedrikovetskii, M. V. Lur'e, and M. V. Filinov, “Displacement of oil from a porous reservoir by water in the presence of a buffer fluid in the water-oil contact zone,” Inzh.-Fiz. Zh.,43, 674 (1982). P. G. Bedrikovetskii, “Displacement of oil by slugs of active solution,” Dokl. Akad. Nauk SSSR,262, 49 (1982). V. M. Entov and A. F. Zazovskii, “Dynamics of the displacement of oil by a thin slug of active solution,” Tr. Mosk. Inst. Neftekhim. Gazoc. Prom., I. M. Gubkina, No. 181, 32 (1985).