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针对三维感应测井问题,提出了利用三维感应测井分量视电导率确定地层(TI地层)各向异性指数因子(水平电导率与垂直电导率之比)的计算与确定方法.论文分别给出了图版法和牛顿迭代计算方法,介绍了地层各向异性指数因子的图板制作及利用图版确定地层各向异性指数因子的方法;导出了地层视电导率偏导计算方程,利用非线性方程组的牛顿迭代解法实现了地层各向异性指数因子的数值计算,还给出了数值算例,计算结果与地层模型获得了很好的一致性,表明本方法对分析地层的各向电导特性及测井资料解释应用将具有重要的借鉴和参考意义.
Aiming at the problem of three-dimensional induction logging, a method to calculate and determine the anisotropy exponent (the ratio of horizontal conductivity and vertical conductivity) of strata (TI formation) by using apparent induction of three-dimensional induction logging is proposed. In this paper, the method of plate and Newton iteration is introduced, and the method of drawing plate of formation anisotropy index factor and the method of determining the anisotropy index of formation by using plate are introduced. The partial conductivity estimation equation of formation conductivity is deduced. By using nonlinear equations Newton’s iterative method is used to realize the numerical calculation of formation anisotropy index factor. Numerical examples are also given, and the calculated results are in good agreement with the formation model. It shows that this method is effective in analyzing the anisotropy of formation and measuring Well data interpretation application will have important reference and reference significance.