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从电磁响应方程出发,应用交错网格有限差分法推导了三维各向异性地层多分量感应测井响应的差分计算格式,并利用所形成的算法考察了多种环境条件下多分量感应测井的响应规律。计算结果表明,多分量感应测井各磁场分量不仅与地层水平电阻率和垂直电阻率有关,还与仪器方位角、井斜角、井眼轴与地层走向的相对位置有关。根据仪器方位角与井斜角间的关系和各测量量,可反演出地层水平电阻率和垂直电阻率,进而改善电性各向异性储层的含油饱和度评价。计算结果表明该算法是准确可靠的。
Starting from the electromagnetic response equation, the difference calculation formula of multi-component induction logging response in three-dimensional anisotropic formation is deduced by using the staggered-grid finite difference method. The multi-component induction logging under various environmental conditions Response rules. The calculation results show that the magnetic field components of multi-component induction logging are not only related to the horizontal resistivity and vertical resistivity of the formation, but also to the relative azimuth of azimuth, well inclination, and the relative position of well axis and formation direction. According to the relationship between the azimuth and the inclination angle of the instrument and the measured quantities, the horizontal resistivity and the vertical resistivity of the formation can be inverted, so as to improve the oil saturation evaluation of the electrically anisotropic reservoir. The calculation results show that the algorithm is accurate and reliable.