| 渗透率场敏感系数的数值计算 |
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| 引用本文： | 刘福平,杨长春.渗透率场敏感系数的数值计算[J].地球物理学报,2003,46(1):131-137. |
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| 作者姓名： | 刘福平 杨长春 |
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| 作者单位： | 中国科学院地质与地球物理研究所，北京 100101 |
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| 基金项目： | 国家“973”项目 (G1 9990 4 331 1 ) . |
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| 摘 要： | 由渗流微分方程定解问题，利用格林互易定理从理论上导出了渗透率场敏感系数 的计算公式，并借助于数值积分和差分方法给出了渗透率场敏感系数的离散形式. 由Peacem an方程建立了井压渗透率场敏感系数与网格压力渗透率场敏感系数的关系. 对理论模型利用 三维不均匀非稳定渗流场的压强数值解计算了井压对渗透率场的敏感系数，并用敏感系数的 直接计算方法进行了验证，结果表明本文的计算方法与直接计算方法相吻合.
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| 关 键 词： | 渗透率场 敏感系数 数值计算 格林互易定理 |
| 文章编号： | 0001-5733(2003)01-131-07 |
| 收稿时间： | 2001-6-5 |
| 修稿时间： | 2002-3-18 |
THE NUMERICAL CALCULATION OF SENSITIVITY COEFFICIENTS OF PERMEABILITY FIELD |
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| LIU FUPING.THE NUMERICAL CALCULATION OF SENSITIVITY COEFFICIENTS OF PERMEABILITY FIELD[J].Chinese Journal of Geophysics,2003,46(1):131-137. |
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| Authors: | LIU FUPING |
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| Institution: | Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 10010 1,China |
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| Abstract: | A formula of sensitivity coefficients in porous media is derived from fluid equations by Green's reciprocity principle. The discrete form is given by using numerical integration and finite difference method. The sensitivity coefficients of wellbore pressure to permeability parameters are given by Peaceman's equation and calculated by numerical method of 3D transient anisotropic fluid equation in porous media. The results are verfied by direct method. The computed results are in excellent agreement with those obtained by the direct method. |
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| Keywords: | Permeability field Sensitivity coefficients Numerical calculation Green's reciprocity principle |
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