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<p>This paper considers the process of development of oil reservoir in an elastic mode described by a model of nonstationary linear-parallel flow of a single-phase fluid in the reservoir according to the law of turbulent filtration. Within the framework of this model, the problem is set to determine the dynamics of reservoir pressure distribution based solely on information obtained from a gallery of production wells. A discrete analogue of the posed inverse problem is constructed, and the resulting system of difference equations is solved for the pressure at each time layer. As a result, an explicit formula for determining the approximate value of pressure at the reservoir outlet and a recurrence formula for determining the pressure distribution in the reservoir at each time layer are obtained. Numerical experiments are conducted for a model oil reservoir.</p>

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Recovery of Reservoir Pressure in Elastic Mode of Reservoir Development According to the Turbulent Filtration Model

  • 期刊论文

  • 发表日期：

    2026年1月1日

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  • Kh. M. Gamzaev

摘要

This paper considers the process of development of oil reservoir in an elastic mode described by a model of nonstationary linear-parallel flow of a single-phase fluid in the reservoir according to the law of turbulent filtration. Within the framework of this model, the problem is set to determine the dynamics of reservoir pressure distribution based solely on information obtained from a gallery of production wells. A discrete analogue of the posed inverse problem is constructed, and the resulting system of difference equations is solved for the pressure at each time layer. As a result, an explicit formula for determining the approximate value of pressure at the reservoir outlet and a recurrence formula for determining the pressure distribution in the reservoir at each time layer are obtained. Numerical experiments are conducted for a model oil reservoir.