Three-Dimensional Finite-Volume Analysis of Directional Resistivity Logging Sensors
Three-Dimensional Finite-Volume Analysis of Directional Resistivity Logging Sensors
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DOI：
10.1109/tgrs.2009.2032539
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发表时间：
2010-03
影响因子：
8.2
通讯作者：
M. S. Novo;L. C. Silva;F. Teixeira
中科院分区：
文献类型：
--
作者：
M. S. Novo;L. C. Silva;F. Teixeira
介绍了在三维各向异性地层中采用倾斜线圈天线的定向电阻率测井传感器的有限体积（FV）建模方法。该算法基于三维圆柱交错网格上的标量-矢量耦合势表达式。离散化的选择加强了正确的跨材料边界的连续性方程，避免了伪模态，并导致一个更好的条件系统矩阵。为了模拟传感器工具轴与井眼轴不重合的情况（偏心工具），还实现了局部保形FV方案。提出的FV公式与伪解析解（在后者适用的情况下）进行了验证，显示出非常好的一致性，并用于研究钻铤（井眼）、各向异性和方位旋转对定向电阻率传感器响应的影响。
A finite-volume (FV) technique is introduced to model directional resistivity logging sensors that employ tilted-coil antennas in 3-D anisotropic earth formations. The algorithm is based on a coupled scalar-vector potential formulation on a 3-D cylindrical staggered grid. The choice of discretization enforces the correct continuity equations across material boundaries, avoids spurious modes, and leads to a better conditioned system matrix. In order to model situations where the sensor tool axis does not coincide with the borehole axis (eccentered tools), a locally conformal FV scheme is also implemented. The proposed FV formulation is validated against pseudoanalytical solutions (in cases where the latter is applicable), showing very good agreement, and utilized to investigate the effects of the drill collar (borehole), anisotropy, and azimuthal rotations on the response of directional resistivity sensors.