| 基于PML边界条件的高倍可变网格有限差分数值模拟方法 |
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| 引用本文： | 孙林洁,印兴耀.基于PML边界条件的高倍可变网格有限差分数值模拟方法[J].地球物理学报,2011,54(6):1614-1623. |
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| 作者姓名： | 孙林洁 印兴耀 |
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| 作者单位： | 中国石油大学(华东)地球科学与技术学院,青岛 266555 |
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| 基金项目： | 国家高技术研究发展计划(863)项目，国家重点基础研究发展计划(973)项目，中国石油大学(华东)研究生创新工程项目 |
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| 摘 要： | 非均匀介质一般为多尺度介质,对非均匀介质进行正演模拟需要多尺度的网格剖分.碳酸盐岩缝洞介质的尺度一般为厘米级甚至毫米级.使用有限差分方法对其进行精细模拟需要差分步长达到缝洞介质的尺度.为了提高有限差分数值模拟方法的精度和效率,使之可以应用于非均匀介质的正演模拟,本文推导了基于PML边界的空间和时间步长同时变化的高倍数可变网格差分格式,步长变化倍数可以达到百倍以上.并且在一般意义的变网格算法的基础上,改进了变网格算法的网格剖分方式,进一步减小了精细尺度模型数值模拟的内存消耗.数值试验表明,该方法可以精细描述毫米尺度的地质体,提高有限差分方法模拟精度,同时也节约了内存,提高了模拟效率.
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| 关 键 词： | 有限差分 PML 变网格 非均匀介质 |
| 收稿时间： | 2010-06-18 |
A finite-difference scheme based on PML boundary condition with high power grid step variation |
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| SUN Lin-Jie,YIN Xing-Yao.A finite-difference scheme based on PML boundary condition with high power grid step variation[J].Chinese Journal of Geophysics,2011,54(6):1614-1623. |
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| Authors: | SUN Lin-Jie YIN Xing-Yao |
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| Institution: | School of Geosciences, China University of Petroleum,Qingdao 266555,China |
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| Abstract: | Heterogeneous media is a kind of multi-scale media. The scale of the fracture reservoir could reach up to millimeter. Simulating a fractured carbonate model with finite-difference method is calling for the same scale of sample steps. A finite-difference method with high power of grid steps variation is presented here. Spatial and temporal sampling steps can be optimized according to material properties and model geometry. The ratio of grid steps could reach up to hundreds or more. We improve the method of numerical grid division in order to add more flexibility and efficiency to finite-difference method with grid variation. The numerical results support that the method can describe heterogeneous media in scale of millimeter accurately with efficiency, and the property made the method suitable for modeling cavity or fractured carbonate reservoirs. |
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| Keywords: | Finite-difference PML Grid variation Heterogeneous media |
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