| 利用积分方程法计算双侧向测井仪的井眼校正曲线 |
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| 引用本文： | 刘福平,李善军.利用积分方程法计算双侧向测井仪的井眼校正曲线[J].地球物理学报,1997,40(6):857-866. |
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| 作者姓名： | 刘福平 李善军 |
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| 作者单位： | 1. 胜利油田职工大学, 山东东营 257004;
2. 石油大学勘探系, 山东东营 257062 |
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| 摘 要： | 对电测井积分方程中的各积分项进行了理论推导，利用任意闭合曲面对曲面外一点所张立体角为零的特点将电势积分项由对柱体侧面的积分转化为对柱体底面的积分，从而使在纵向采用线性插值条件下给出了电势积分项的解析解．对电流积分项进行了化简，使之由曲面积分化为一维数值积分．利用所得结果计算了双侧向测井仪的井眼校正曲线．
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| 关 键 词： | 立体角 积分方程 椭圆积分 测井响应 |
COMPUTATION OF BOREHOLE CORRECTION CURVES OF DUAL LATEROLOG TOOL BY INTEGRAL EQUATION METHOD |
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| Liu Fu-ping, Li Shan-jun, Zhang Geng-ji.COMPUTATION OF BOREHOLE CORRECTION CURVES OF DUAL LATEROLOG TOOL BY INTEGRAL EQUATION METHOD[J].Chinese Journal of Geophysics,1997,40(6):857-866. |
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| Authors: | Liu Fu-ping Li Shan-jun Zhang Geng-ji |
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| Institution: | 1. Shengli Oilfield Workers University, Dongying, Shandong 257004, China;
2. Department of Exploration, University of Petroleum, Dongying, Shandong 257062, China |
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| Abstract: | Every integral term of the fundamental integral equation of electric log has been derived in theory. Because the solid angle that a closed surfaCe opens to an outer point of it is zero, the potential integral term has been tUrned intO integration for bottom surfaCe from that for lateral surface of a cylinder. Therefore, Under the assumption that the interpolation functions betWeen nodal points are linear, the potential integral term of the equation has been expressed in analytical form. The current integral term of the equation has been simplified into one-dimensional numerical integration. By the integral equation method, the curves of dual laterolog tool borehole correction have been calculated. |
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| Keywords: | Solid angle Integral equation Elliptic integral Log response |
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