SINGULAR PERTURBATION SOLUTION OF THE PROBLEM VISCOUS FINGERING PHENOMENON IN MULTIFLUID IMMISCIBLE FLOW
Keywords:Porous, Fingering, Singular, Partial Differential Equation, Similarity, Perturbation
In this paper the phenomenon namely fingering which occurs in the flow problems of oil reservoir engineering has been discussed. The effects arises due to the fingering have been studied by using the Darcy’s law together with different kinds of suitable assumptions and conditions. The problem is then modeled into mathematical form which yields second order partial differential equation. The equation is then solved by using singular perturbation technique together with initial and boundary conditions. The solution is then interpreted in terms of fluid flow terms.
Scheidegger A.E. Canadian Journal of Physics, 39, 2, 1961, 125. DOI: https://doi.org/10.1139/p61-031
Zhangxin Chen, Reservoir Simulation Mathematical techniques in Oil Recovery, SIAM, 2007, 37- 59. DOI: https://doi.org/10.1137/1.9780898717075
Wooding R.A. A.M. Physics, 18, 1962, 255. DOI: https://doi.org/10.1007/BF02148216
Verma A.P. Canadian Journal of Physics, 47, 1969, 2519. DOI: https://doi.org/10.1139/p69-309
Patel S. S. An approximate solution of displacement processes in fluid flow through porous media, Ph.D. Thesis, 1998, 138.
Scheidegger A.E. and Johnson E.F. Canadian journal of physics, 39, 1960, 329.
LeVeque R.J., Finite Difference Methods for Ordinary and Partial Differential Equations, SIAM, 2007, 181-200. DOI: https://doi.org/10.1137/1.9780898717839
Dake L.P., Fundamentals of reservoir Engineering, Elsevier, 1998, 407-413.
Hyden P.E., Similarity Methods for Differential Equations, Cambridge University Press, 2000, 136-149.
Nayfeh A.H. Perturbation Methods, Wiley, New York, 1973, 122-125.
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