Abstract
A method of numerical solution of two-dimensional nonstationary problems of the theory of elastic regime in nonlinear filtration is developed. The nonstationary processes in an element of five-point grid of wells and in the neighborhood of a well, which occur in the external flow, are investigated. The effects of anisotropy of propagation of perturbations related to the nonlinearity of the problem is analyzed.
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G. I. Barenblatt, V. M. Entov, and V. M. Ryzhik, Theory of Nonstationary Filtration of Liquid and Gas [in Russian], Nedra, Moscow (1972).
M. G. Bernadiner and V. M. Entov, Hydrodynamic Theory of Filtration of Anamolous Liquid [in Russian], Nauka, Moscow (1975).
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M. G. Bernadiner, V. M. Entov, and F. D. Turetskaya, Numerical Solution of Stationary Problems of Nonlinear Filtration, Institute of Problems in Mechanics, Academy of Sciences of the USSR, Preprint No. 39 (1974).
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 6, pp. 74–78, November–December, 1977.
The authors are grateful to L. A. Chudov for advice and constant attention to the work.
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Entov, V.M., Turetskaya, F.D. Effects of inhomogeneity of flow in nonlinear nonstationary filtration. Fluid Dyn 12, 877–881 (1977). https://doi.org/10.1007/BF01090322
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DOI: https://doi.org/10.1007/BF01090322