The issues of plane-radial movement of incompressible oil in a homogeneous horizontal circular formation are studied in the article. Considering that filtration obeys various laws, researches have been carried out according to linear Darcy’s law, generalized Darcy’s law and the modified Caisson model. The article solved stationary hydrodynamic problems about the hemispherical-radial flow of non-Newtonian oil in a homogeneous reservoir according to various filtration laws. Formulas for all the main indicators of development, well flow rate, filtration rate, and pressure gradient were derived. Considering these formulas, the characteristic features of the development of these deposits are identified, methods for developing and implementing measures to eliminate the complications that occur, as a result of which it is possible to increase the oil recovery of the deposits. Each of the stated problems has been solved using mathematical methods, and corresponding algorithms have been obtained taking into account the forms of oil movement in a porous medium. A plane-parallel simple filtration flow of oil moves from a skid-shaped reservoir to a rectilinear gallery. Such fluid flow is observed when a developing oil field has several parallel rectilinear rows of production wells. In oil-bearing areas between parallel adjacent rows, oil filtration is also plane-parallel. This implies the practical significance of solving the problem of plane-parallel oil flow in this scientific article. For each filtration law, hydrodynamic formulas calculated for well operation parameters and oil reservoir development indicators are derived. It is advisable to use the obtained models of oil flow rate, filtration rate, distribution law of current pressure, current pressure gradient, duration of oil movement in the drainage zone are both when drawing up an optimal reservoir development project, and for regulating and adjusting the process of oil extraction from exploited fields. Three stationary hydrostatic problems have been solved, in which the filtration processes obey only a general nonlinear law, and all the basic calculation formulas characterizing the filtration processes have been derived. By analyzing these formulas, it is possible to identify the nature of the impact of each well parameter and each reservoir development indicator on the development process. Also, the results have been obtained to solve various theoretical problems of developing oil deposits when drawing up projects for the development of new fields. A flat-radial simple filtration flow of oil moves from a circular horizontal reservoir to a central production well. In addition, such simple filtration fluid flow also occurs when a developing oil strip field has several (usually three or four) parallel straight rows of production wells. In the drainage zones of these wells, a simple plane-radial filtration flow also occurs.
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