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.
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.
出处
《地球物理学报》
SCIE
EI
CAS
CSCD
北大核心
1997年第6期857-866,共10页
Chinese Journal of Geophysics
关键词
立体角
积分方程
测井仪
测井
井眼校正曲线
Solid angle, Integral equation, Elliptic integral, Log response