«Oilfield engineering»

On the question of constructing nonlinear laws of phase filtration

UDC: 622.276.031:532.5.001
DOI: .33285/0207-2351-2022-7(643)-19-24

Authors:

¹ Oil and Gas Research Institute Russian Academy of Sciences, Moscow, Russia

Keywords: filtration processes, generalized filtration law, nonlinear filtration law, hydrodynamic studies, permeability, mathematical model

Annotation:

The article presents a well-known approach to the displacement process in heterogeneous soils, based on the averaging of filtration processes in independent micro-flows (capillaries, pores or other structural elements) to solve the actual problem of filtration theory – the construction (or designing) of a generalized filtration law. A generalized mathematical model is formulated that takes into account the characteristic nonlinearity of capillary interactions at the micro-level. An example is given of constructing a nonlinear phase filtration law taking into account capillary interactions, the reflection of which can be seen in the most representative generalizations of the results of hydrodynamic studies of core material.

The article presents all calculations allowing analytical verification, which will allow repeating the logics of reasoning and continuing work on improving the existing fundamental basis of the theory of filtration in this direction.

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