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裂缝性油藏等效渗透率张量的边界元求解方法
Calculation of equivalent permeability tensors of fractured oil reservoirs using boundary element method
【摘要】 等效渗透率张量是裂缝性油藏渗流分析的重要参数,应用边界元算法可计算裂缝性油藏的等效渗透率张量。根据流量等效原理,考虑每条裂缝的空间分布和属性参数对流动的影响,建立了求解裂缝性多孔介质等效渗透率张量的数学模型,并给出了数学模型的边界元求解方法。实例研究表明,边界元法数值计算结果与解析结果较为一致;裂缝对介质的渗透能力有重要影响,忽略渗透率张量的非对角线元素将产生较大误差;等效渗透率张量能够反映裂缝性多孔介质的非均质性和各向异性。
【Abstract】 Equivalent permeability tensors (EPTs) are essential parameters for the flow analysis in the fractured oil reservoirs,which can be calculated by boundary element method. Based on equivalent flow rate theory,the influence of spatial distribution and attribute parameters of each fracture was considered. Then a mathematical model of equivalent permeability tensors for fractured porous media was established,which could be solved with the boundary element method. The case study presents that the result of boundary element method and analysis is almost the same. The fractures have important influence on the permeable capacity of the media. Great error will occur if off diagonal elements of the permeability tensors are neglected. The equivalent permeability tensors can reflect the heterogeneity and nonisotropy of the fractured porous media.
【Key words】 fractured oil reservoirs; equivalent permeability tensor; continuous medium; boundary element method; periodic boundary condition; mathematical model;
- 【文献出处】 油气地质与采收率 ,Petroleum Geology and Recovery Efficiency , 编辑部邮箱 ,2009年06期
- 【分类号】TE311
- 【被引频次】30
- 【下载频次】545