Abstract
We consider the problems of designing integrated mathematical models for stratum fluids filtration and gas-liquid mixture flows (i.e., oil, natural gas, and water) in oil- and gas-gathering pipelines. The modeling process lies in finding a generalized solution to an initial boundary problem for a system of equations describing real physical processes in oil and gas strata, shafts, and ground-based gathering pipelines. We suggest and study methods to solve the systems of nonlinear algebraic equations defined by the space-time approximation of the initial boundary problems belonging to the class considered.
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Original Russian Text © A.V. Akhmetzyanov, I.I. Ibragimov, E.A. Yaroshenko, 2010, published in Upravlenie Bol’shimi Sistemami, 2010, No. 29, pp. 167–183.
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Akhmetzyanov, A.V., Ibragimov, I.I. & Yaroshenko, E.A. Integrated hydrodynamic models of oil field development processes. Autom Remote Control 73, 1065–1074 (2012). https://doi.org/10.1134/S0005117912060112
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DOI: https://doi.org/10.1134/S0005117912060112