Approximate Solution for One-Dimensional Compressible Two-Phase Immiscible Flow in Porous Media for Variable Boundary Conditions

W. Q. Barros (), A. P. Pires () and Á. M. M. Peres ()
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W. Q. Barros: Universidade Estadual do Norte Fluminense
A. P. Pires: Universidade Estadual do Norte Fluminense
Á. M. M. Peres: Universidade Estadual do Norte Fluminense

Chapter Chapter 1 in Integral Methods in Science and Engineering, 2022, pp 1-17 from Springer

Abstract: Abstract Water injection in petroleum reservoirs is the most used technique to improve the oil recovery factor. To design a water flooding process, it is necessary to precisely understand and predict the saturation and pressure behavior in porous media. Simultaneous flow of water and oil is governed by a system of non-linear partial differential equations representing the phases conservation laws, in which the water injection flow rate is modeled by a boundary condition (BC) at the inlet face. This work presents an approximate solution for the variable internal boundary condition problem uncoupling the saturation and pressure equations for a step-change injection rate. The proposed solution is compared to numerical results for typical rock and fluid properties found in one-dimensional core flooding experiments. We also investigate the effect of phase compressibility on the approximate solution. The proposed analytical solution might be useful to design laboratory core flooding experiments or to estimate parameters of relative permeability curves.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-07171-3_1

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DOI: 10.1007/978-3-031-07171-3_1

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