倾斜井各向异性地层中多分量感应测井响应的有限体积模拟

摘要

In order to efficiently investigate the multi-component induction logging (MCIL)'s response in dipping well anisotropic formation model, we transform the formation conductivity from media coordinate to instrument coordinate based on coordinate transformation theory. The finite volume method based on coupled potential is applied to calculate the value of response. The numerical results show that the cross-components of the MCIL's responses have appeared because of the dipping borehole. Cross-components are not only associated with the dipping boundary but also influenced by the dipping anisotropy. The composite curves of cross-components are applied to separate the dipping anisotropy and dipping boundary effects in order to improve the interpretation ability of the MCIL's data. At last, we systematically investigate the effect characteristics of different source spacing , mud resistivity and dipping angle on composite curves.%为快速、有效地考察倾斜井各向异性地层模型中的多分量感应测井响应,首先以坐标变换理论为基础,利用旋转矩阵将地层电阻率由介质坐标系变换到仪器坐标系中,并采用基于矢势-标势的有限体积算法计算出测井响应值.数值结果显示:由于井眼倾斜导致测井响应出现交叉分量,而交叉分量不仅与倾斜层边界有关,同时还受到倾斜各向异性的影响.利用交叉分量组合曲线分离交叉分量中倾斜层边界和倾斜各向异性影响,提高了对多分量感应测井数据的解释能力.最后,系统考察了不同的源距、泥浆电阻率、仪器倾角对测并响应交叉分量组合曲线的影响特征.