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在油藏数值模拟中 ,利用任意三角网格来剖分渗流区域 ,可以方便灵活地加密重点研究区结点 ,特别在处理渗流区的内外边界及断层方面有很大的拟合性。以二维三相黑油模型为例 ,提出用于油藏数值模拟的三角网格差分方法。首先建立以剖分结点为中心的均衡单元 ,再以均衡单元为单位 ,根据质量守恒原理 (均衡原理 )和能量守恒与转换定律 (达西定律 ) ,考虑单元侧向流量、源汇项及其内部储存量的变化量 ,建立了物理概念清楚的油、气、水渗流的三角网格差分方程 ,可用求解矩形网格差分方程的方法求解。介绍了三类渗流区域边界条件 (给定压力边界 ,给定流量边界 ,封闭边界 )应用方法 ;在处理断层时 ,将断层结点视为两个结点 ,在两侧分别编号 ,二者用达西定律产生水力联系的方法处理。对面积为 7.8km2 、有 5条断层的某油藏渗流区 ,应用三角网格差分方法仅剖分 2 90个结点、442个三角形面元 ,就很好地处理了非均质分区和断层问题 ,使所有采液井、注液井和探井均落在结点上 ,从而使计算精度得以提高 ,并很容易地进行了生产史匹配。图 3参 3 (王孝陵摘 )
In numerical simulation of reservoirs, the use of arbitrary triangular meshes to divide the seepage region can facilitate the convenient and flexible encryption of the nodes in the study area, especially for the treatment of the internal and external boundaries and faults in the seepage region. Taking the two-dimensional three-phase black oil model as an example, a triangular mesh difference method for reservoir numerical simulation is proposed. Firstly, an equilibrium unit centered on the split nodes is established. Based on the principle of conservation of mass (equilibrium principle) and the law of conservation and conversion of energy (Darcy’s law), units of equalization, The change of the internal storage, the establishment of the physical concept of clear oil, gas and water seepage triangular mesh difference equation can be solved by the method of solving rectangular grid difference equation. The application methods of boundary conditions (given pressure boundary, given flow boundary and closed boundary) of three kinds of seepage areas are introduced. When dealing with faults, the fault nodes are regarded as two nodes and numbered on both sides respectively Darcy’s law produces a hydraulic method of handling. For a reservoir seepage area with an area of 7.8km2 and 5 faults, applying the triangular mesh difference method to divide only 2 90 nodes and 442 triangular facets, the heterogeneous zones and faults The problem is that all production wells, injection wells, and exploration wells are located on the nodes, resulting in improved calculation accuracy and easy production history matching. Figure 3 reference 3 (Wang Xiaoling pick)