Mathematical modelling of the work of the system of wells in a layer with the exponential law of permeability variation and the mobile liquid interface

I.K. Lifanov; D.N. Nikolsky; V. F. Piven

doi:10.1515/rnam-2002-0406

Published by De Gruyter October 9, 2014

Mathematical modelling of the work of the system of wells in a layer with the exponential law of permeability variation and the mobile liquid interface

I.K. Lifanov , D.N. Nikolsky and V. F. Piven

From the journal Russian Journal of Numerical Analysis and Mathematical Modelling

https://doi.org/10.1515/rnam-2002-0406

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Abstract

-We construct and study a two-dimensional model of the work of the system of wells in a layer with the mobile boundary between liquids of various viscosity. We use a ‘plunger’ displacement model of liquids. The boundaries of the filtration region of these liquids are modelled by curves of the Lyapunov class. Unlike the familiar works [1, 2, 15], we solve two-dimensonal problems in an inhomogeneous layer when the mobile boundary and the boundaries of the filtration region are modelled by curves of the Lyapunov class. We show the practical convergence of the numerical solution of the problems studied.

Published Online: 2014-10-9

Published in Print: 2002-8-1

Mathematical modelling of the work of the system of wells in a layer with the exponential law of permeability variation and the mobile liquid interface

Abstract

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