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本文研究感应测井仪器测量的感应电动势和视电导率的关系、视电导率和地层真电导率的关系.假定格林函数中的电导率是场点坐标的函数,运用格林公式推导出电场强度的视电导率表达式,建立了视电导率和真电导率关系的积分方程,通过对所得积分方程的深入分析,得出等效电导率与视电导率相等以及视电导率函数值包含真电导率两个结论,并提出由井轴视电导率函数求取真电导率的方法,通过数值计算验证了本文提出的方法的有效性.按照上述做法,仪器每移动一点,发射线圈产生一个电场分布,若干接收线圈得到一个视电导率分布,这就形成了感应电场测井.
In this paper, the relationship between the induced electromotive force and apparent conductivity measured by induction logging tools and the relationship between apparent conductivity and true conductivity of the formation are assumed.The conductivity in Green’s function is assumed to be a function of field coordinates, and the electric field intensity According to the expression of conductivity, the integral equation of the apparent conductivity and the true conductivity was established. Through the further analysis of the integral equation, the equivalent conductivity and the apparent conductivity were obtained, and the apparent conductivity function value included the true conductivity Two conclusions are put forward, and the method of determining the true conductivity from the well-axis apparent conductivity function is proposed, and the validity of the proposed method is verified by numerical calculation. According to the above method, every time the instrument moves a little, the transmitting coil generates an electric field distribution, The receiving coil receives a distribution of apparent conductivity, which forms the induced electric field log.