水平井油藏数值模拟的有限元方法

The finite element method for horizontal well reservoir modeling

对底水油藏水平井三维两相渗流的数学模型给出了一种有限元解法。求解时,对压力场采用基于Galerkin方法的经典有限元技术,对饱和度场,引入了非标准的不连续有限元方法,以反映实际油藏中水驱前缘的含水饱和度不连续跃变的性质。整个过程采用计算机NDP-FORTRAN语言编程实现。 利用有限元模型,进行了有关底水油藏水平产能和见水的敏感性因素分析,即水平井长度、地层垂向渗透率、水平井的垂向位置等因素对水平井产能及其见水时间的影响,并与现已成熟的油藏数值模拟软件黑油模型进行了对比,得到了比较满意的结果。

The finite element method is used in modeling of bottom water reservoir horizontal well with three dimensions and two phases. The calculation of pressure field is based on Galerkin formula in this method as to reflecting discontinuity characteristic of water saturation in oil reservoir water flood. Also the NOP-FORTRAN program complied into the computer to calculate the modeling. This model utilized for analysis of bottom water reservoir horizontal well productivity and water sensitivity. The result is satisfactory.