In this article, we are the first to formulate the direct and inverse problems of resistivity logging on determining the components of the electrical resistivity tensor of rocks from a set of high-frequency induction and lateral logging sounding measurements. Using a finite element approximation, high-order hierarchical basis functions, computationally efficient multilevel methods and a multistart algorithm with the DFO-LS local optimization method, we investigate the capability of reconstructing the horizontal and vertical resistivity components, as well as the tilt of the resistivity tensor principal axes with regard to the study of complex geological objects. A separate consideration is given to a realistic generalized geoelectric model of the unique hydrocarbon source with hard-to-recover reserves, the Bazhenov Formation.

中文翻译：

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电阻率张量主轴倾斜的地球模型中高频感应和侧向测井测深数据的联合反演

在本文中，我们是第一个根据一组高频感应和横向测井测深结果确定岩石电阻率张量分量的公式，以公式化电阻率测井的正反问题。使用有限元逼近，高阶层次基函数，计算效率高的多层方法以及采用DFO-LS局部优化方法的多启动算法，我们研究了重构水平和垂直电阻率分量的能力以及倾斜度的问题。关于复杂地质对象研究的电阻率张量主轴。单独考虑了具有难采储量的独特烃源巴热诺夫组的现实广义地球电模型。