| 考虑渗透率张量的非均质油藏有限元数值模拟方法 |
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| 引用本文： | 李亚军,姚军,黄朝琴,张凯.考虑渗透率张量的非均质油藏有限元数值模拟方法[J].计算物理,2010,27(5):692-698. |
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| 作者姓名： | 李亚军 姚军 黄朝琴 张凯 |
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| 作者单位： | 中国石油大学(华东)石油工程学院, 山东 青岛 266555 |
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| 基金项目： | 国家科技重大专项，国家973计划项目，高等学校博士点基金，中国石油大学(华本)研究创新基金 |
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| 摘 要： | 针对具有混合边界的非均质油藏,考虑全张量形式的渗透率,建立弹性微可压缩单相流体不稳定渗流问题的数学模型.根据变分原理,将压力微分方程的边值问题转化为泛函的极值问题,建立渗流模型的有限元方程.针对典型的均质和非均质渗流问题进行模拟计算,得到油藏内压力动态分布曲线,并分析曲线特征.研究表明,有限元法计算精度很高,适用于求解利用渗透率张量表征的非均质油藏渗流问题.为非均质油藏的开发和精细油藏数值模拟提供了理论依据.
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| 关 键 词： | 非均质 各向异性 油藏 渗透率张量 有限元法 数值模拟 |
| 收稿时间： | 2009-07-09 |
| 修稿时间： | 2009-12-21 |
Finite Element Simulation of Heterogeneous Reservoir with Full Permeability Tensor |
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| LI Yajun,YAO Jun,HUANG Zhaoqin,ZHANG Kai.Finite Element Simulation of Heterogeneous Reservoir with Full Permeability Tensor[J].Chinese Journal of Computational Physics,2010,27(5):692-698. |
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| Authors: | LI Yajun YAO Jun HUANG Zhaoqin ZHANG Kai |
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| Institution: | College of Petroleum Engineering, China University of Petroleum, Qingdao 266555, China |
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| Abstract: | Mathematical model with full tensorial permeability and mixed boundaries is presented to simulate single phase flow in heterogeneous reservoirs.A finite element method based on variational principle is proposed to solve the model.Fluid flows in homogeneous and heterogeneous reservoirs are simulated.It demonstrates that the finite element method is reliable and precise in determining flow behavior in heterogeneous reservoirs.It provides an important theoretical basis for detailed reservoir numerical simulation. |
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| Keywords: | heterogeneity anisotropy reservoir permeability tensor finite element method numerical simulation |
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