电位测井视电阻率变化分形理论的分析研究

An Analytic Study on Potential Logging Apparent Resistivity Variation Fractal Theory

从实际测井资料入手,对视电阻率资料进行整理,发现同一地层电阻率ρs存在规律性变化,其变化规律符合现有的电位测井理论:电位与电极距具有指数关系,且指数小于1。从理论上对该变化规律做进一步的分析,发现不同等势面的导电面面积,呈现出非线性变化,符合分形规律。视电阻率之所以存在规律性变化,是电场穿透地层后导致其非线性变化而产生的。

Start from practical logging data, set apparent resistivity data in order, found that regular changes of resistivity ps existed in a same stratum. Its variation regularity accord with existing potential logging theory： exponential relationship is existed between potential and electrode spacing, and exponent less than 1. Further theoretical analysis of the variation regularity found that conductive surface area of different potentiometric surfaces presented nonlinear variation accord with fractal regulations. The reason of apparent resistivity existing regular changes is caused by the electric field penetrating through strata and resulted in nonlinear variation.