裂缝型多孔介质气液两相渗流的分形分叉网络模型
A Fractal Bifurcating Network Model for Gas-Liquid Flow in Fractured Porous Media
摘要: 裂缝型多孔介质的气液两相渗流对于页岩气水平井的产量预测具有重要的理论意义，因此，为了深入理解裂缝型多孔介质的气液两相渗流机理，本文采用分形分叉网络定量表征裂缝系统拓扑结构，发展了气液两相渗流的双重介质模型，推导了裂缝型多孔介质的有效渗透率和相对渗透率，并基于有限元方法数值模拟了裂缝型多孔介质的气液两相渗流。结果表明，分形双重介质模型的预测结果与数值模拟以及实验数据吻合较好，气相和液相相对渗透率随着液相饱和度的增加分别降低和提高，孔隙率和分形维数对相对渗透率具有显著影响。
Abstract: The gas-liquid two-phase permeability in fractured porous media has important theoretical significance for the production prediction of shale gas horizontal wells. Therefore, in order to further understand the gas-liquid two-phase flow mechanism through fractured porous media, the fractal bi-furcation network is used to quantitatively characterize the fracture topology. A fractal du-al-medium model for gas-liquid two-phase flow was therefore developed to derive the analytical expressions of effective permeability and relative permeability of fractured porous media. And the gas-liquid two-phase flow in fractured porous media is also simulated based on the finite element method. The predicted results by the present fractal dual-medium model are in good agreement with the numerical simulation and experimental data. The results show that the relative permeability of gas phase and liquid phase decreases and increases with the increase of liquid phase saturation, respectively. The porosity and fractal dimension indicate significant effect on the relative permeability of gas phase.
文章引用：范子晨, 王春玲, 高妍, 孟谨. 裂缝型多孔介质气液两相渗流的分形分叉网络模型[J]. 渗流力学进展, 2022, 12(2): 11-20. https://doi.org/10.12677/APF.2022.122002

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