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Mathematical Model to Simulate Gas-Oil Gravity Drainage in a Naturally Fractured Oil-Wet Reservoir

卷 12, 册 6, 2009, pp. 585-592
DOI: 10.1615/JPorMedia.v12.i6.80
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摘要

To date, no numerical model mimicking gas-oil gravity drainage in a naturally fractured medium has been made commercial. In this study, a simulation code for gas free fall has been developed. Navier-stokes, Darcy, capillary pressure, and relative permeability constitutive equations have been used to simulate a two-phase gas-oil transport problem. Other constraint equations have also been used to model phase saturation change with respect to time. The momentum and continuity equations are then solved to calculate velocities, pressure, oil-gas distribution, and the recovery rate following free fall. The developed simulator model output is compared to the experimental results. The simulation results are found to be in accordance with the experimental observations. Inherent problems with convergence rate and model stabilization are dealt with and the developed software can now be used for prediction purposes. In this paper, the oil-bearing matrix is represented by a porous cylindrical core centered in the middle of a core holder with an annulus thickness of 0.43 cm, mimicking a natural fracture. As such, the problem is axisymmetric and reduces the study to simulation of multiphase flow in a two-dimensional cylindrical domain with only gas and oil (two-phase transport) considered present during flow.

对本文的引用
  1. Zhang Guang-Qing, Fan Tiegang, A high-stress tri-axial cell with pore pressure for measuring rock properties and simulating hydraulic fracturing, Measurement, 49, 2014. Crossref

  2. Andersen Pål Østebø, A simplified modelling approach for petroleum recovery by spontaneous imbibition in naturally fractured reservoirs, Journal of Natural Gas Science and Engineering, 63, 2019. Crossref

  3. Izadmehr Mojtaba, Abbasi Mahdi, Ghazanfari Mohammad Hossein, Sharifi Mohammad, Kazemi Alireza, An exact analytical model for fluid flow through finite rock matrix block with special saturation function, Journal of Hydrology, 577, 2019. Crossref

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