| 利用走时反演二维多孔介质渗透率 |
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| 引用本文： | 李树勇,张关泉,LIU Jun.利用走时反演二维多孔介质渗透率[J].地球物理学报,2002,45(6):870-879. |
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| 作者姓名： | 李树勇 张关泉 LIU Jun |
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| 作者单位： | 1. LASG,中国科学院大气物理研究所,北京,100029;
2. 中国科学院数学与系统科学研究院计算数学与科学工程计算研究所;
3. Laboratory of Fluid、Automatic and Thermic Systems, National Center of Scientific Research, 91405 Orsay, France |
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| 基金项目： | 中法先进研究计划资助项目，国家重点基础研究项目 (G1 9990 3 2 80 0 ) . |
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| 摘 要： | 综合利用直接方法和优化方法研究二维多孔介质渗透率反演问题. 问题的提法与前人不同,是由区域内各点流体渗透的走时来反演渗透率. 该反问题的求解可分成两步进行,归结为两个相应的子问题进行研究. 首先由流体走时反演二维多孔介质速度场的数值算法,然后由二维多孔介质速度场反演二维多孔介质渗透率的数值算法,最后给出数值例子. 数值结果表明了所用数值方法的正确性和有效性.
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| 关 键 词： | 二维多孔介质 渗透率 正问题 反问题. |
| 文章编号： | 0001-5733(2002)06-0870-10 |
INVERSION OF PERMEABILITY FOR TWO-DIMENSIONAL POROUS MEDIUM BY MEANS OF ARRIVAL-TIME |
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| LI SHU-YONG,ZHANG GUAN-QUAN LIU JUN,LASG.INVERSION OF PERMEABILITY FOR TWO-DIMENSIONAL POROUS MEDIUM BY MEANS OF ARRIVAL-TIME[J].Chinese Journal of Geophysics,2002,45(6):870-879. |
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| Authors: | LI SHU-YONG ZHANG GUAN-QUAN LIU JUN LASG |
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| Institution: | 1. LASG,Institute of Atmospheric Physics,Chinese Acedemy of Sciences,Beijing 100029,China;
2. LSEC,Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and System Sciences,Chinese Academy of Sciences,Beijing 100080,China;
3. Laboratory of Fluid,Automatic and Thermic Systems,National Center of Scientific Research, 91405 Orsay,France |
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| Abstract: | The permeability identification problem for two-dimensional porous medium was studied by both the direct and the optimization method in this paper. The formulation is different from the usual ones. The permeability is determined from the arrival-time at every point in the fluid,which can be measured by experiments. This inverse problem can be solved in two steps,and consequently divided in two subproblems to research. First,numerical algorithm of velocity inversion for two-dimensional porous medium will be studied from the arrival-time of the fluid,followed by the study of numerical algorithm of permeability inversion for two-dimensional porous medium from velocity. Finally numerical examples will be given. Numerical results indicate effectiveness and validity of the numerical algorithm. |
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| Keywords: | Two-dimensional porous medium Permeability Forward problem Inverse problem |
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