Flat-radial stationary motion of incompressible oil in a uniform horizontal circular formation according to diffrent filtration laws

Abstract

Relevance. The article considers the issues of flat-radial motion of incompressible oil in a uniform horizontal circular formation. Taking into account that filtration obeys different laws, the research was carried out according to the linear Darcy's law, the generalized Darcy's law and the modified Kesson model. Methodology. Each of the tasks was solved using mathematical methods. The corresponding algorithms were obtained, taking into account the forms of oil movement in a porous medium. Plane-parallel simple filtration flow of oil moves from a strip-like reservoir to a straight gallery. This fluid flow occurs when the oil field under development has several parallel, straight rows of production producing wells. In oil-bearing areas between parallel adjacent rows, oil filtration is also plane-parallel, which implies the practical importance of solving the problem of plane-parallel oil flow in this scientific article. For each filtration law, calculated hydrodynamic formulas for well operation parameters and oil reservoir development indicators are derived. Results. The obtained models of oil flow rate, filtration rate, distribution law of current pressure, current pressure gradient, duration of oil advance in the drainage zone is expedient to use both in drawing up an optimal reservoir development project and for regulating and adjusting the oil recovery process of operating fields. Three stationary-hydrostatic problems are solved, in which the filtration processes obey only a general nonlinear law. All the basic calculation formulas that characterize the filtration processes are derived. By analyzing these formulas, it is possible to identify the nature of the influence of each well parameter and each reservoir development indicator. It is also possible to apply the obtained results to solve vatious theoretical problems of oil field development and when planning new fields development.