DISCRETIZATION OF DISTRIBUTED MATHEMATICAL MODEL OF NATURAL GAS DEPOSIT FINITE DIFFERENCE METHOD

The article presents the process of discretization of mathematical model of distributed object – natural gas deposit. As the research object the abstract gas deposit was chosen and represented as gas-bearing stratum of parallelepiped form with production wells. The lower part of the deposit filled with formation water. So as the alteration of a strata pressure lies in the core of deposits geological processes, three dimensional model is necessary. Model is
represented by the equations characterizing the alteration of a strata pressure in each point of deposit space, border and initial conditions, equations for gas filtration speed, equation for gas-water contact, input function and deposit gas output. The computational experiment of gas drive based on developed model with some assumptions had been conducted.



Keywords

Mathematical model, distributed system, gas deposit, discretization.

Issue number: 3
Year: 2016
ISBN:
UDK: 681.5
DOI:
Authors: Plotnikov A. V., Trushnikov V. E.

About authors: Plotnikov A.V., Assistant, e-mail: apvitarlaeda@gmail.com, Trushnikov V.E., Doctor of Technical Sciences, Professor, e-mail: tvye@yandex.ru, National Mineral Resource University «University of Mines», 199106, Saint-Petersburg, Russia.

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