| 非均匀多孔介质渗透率粗化的有限分析算法 |
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| 引用本文： | 刘志帆,刘志峰,王晓宏.非均匀多孔介质渗透率粗化的有限分析算法[J].西南石油大学学报（自然科学版）,2015,37(3):109. |
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| 作者姓名： | 刘志帆 刘志峰 王晓宏 |
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| 作者单位： | 中国科学技术大学热科学和能源工程系，安徽合肥230026 |
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| 基金项目： | 国家自然科学基金（11172295，11202205）。 |
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| 摘 要： | 基于有限分析算法，提出了一种求解非均匀多孔介质“粗化”渗透率的数值方法，该方法适用于由线性Darcy
定律描述的渗流场。新算法沿用了Durlofsky 提出的双周期边界条件，可以计算出完整的渗透率张量，具有很高的计
算效率。经过多个数值算例的检验，新算法在粗网格条件下，即仅将每个原始网格细分至2×2 或3×3 的计算网格，就
可以获得相当高的精度。相对传统算法而言，当相邻网格渗透率差异较大时，不需将网格划分得足够密，即可获得相
对准确的计算值，大大减少了计算时间。
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| 关 键 词： | 渗流 油藏数值模拟 非均匀多孔介质 渗透率粗化 网格划分 |
Upscaling Algorithm for Heterogeneous Porous Media by Using
the Finite Analytic Method |
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| Liu Zhifan,Liu Zhifeng,Wang Xiaohong.Upscaling Algorithm for Heterogeneous Porous Media by Using
the Finite Analytic Method[J].Journal of Southwest Petroleum University(Seience & Technology Edition),2015,37(3):109. |
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| Authors: | Liu Zhifan Liu Zhifeng Wang Xiaohong |
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| Institution: | Department of Thermal Science and Energy Engineering，University of Science and Technology of China，Hefei，Anhui 230026，China |
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| Abstract: | An algorithm for solving upscaled tensor permeability by using the finite analytic method is proposed，which is
suitable for the flow field described by the linear Darcy′s law. Adoptingthe double periodic boundary condition proposed by
Durlofsky，the proposed algorithm can provide the upscaled full tensor permeability with high efficiency. Only with 2×2 or
3×3 subdivisions，the proposed algorithm can provide rather accurate solutions，where the convergent speed is independent of
the permeability heterogeneity. In contrast，when using the traditional numerical schemes to simulate flow through a strong
heterogeneous porous medium，the refinement ratio for the grid cell needs to increase dramatically to get an accurate result. |
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| Keywords: | seepage reservoir simulation heterogeneous porous meadia upscaling for permeability grid mesh |
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