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Electromagnetic Field Response of Triaxial Induction Logging Tools in 1-D Multi-Layered Anisotropic Formations

机译:1-D多层各向异性地层三轴感应测井工具的电磁场响应

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As thick-layered oil reservoirs are gradually getting exhausted, detection and exploration of thin laminated reservoirs are becoming more and more important. Thin laminated sand-shale layers can be treated as transverse isotropic in bulk, characterized by the horizontal and vertical resistivity. The recently developed triaxial induction tool can detect formation anisotropy. In a traixial tool, three orthogonal transmitter and receiver coils oriented at three directions are used. The formation anisotropy responds to different components of the transmitter–receiver combinations, therefore the tool -is able to measure formation resistivities with anisotropy. The measured data must be converted to the formation resistivities by inversion. Since the inversion process requires a repeated computation of the forward modeling, a fast forward modeling is essential to the inversion procedure. In this paper, we presented an ID analytic method for the efficient simulation of traixial induction tools in multilayered transverse isotropic formations. This work is based on the previous work [I] with appropriate modifications and improvements. The coefficient propagator method is used to obtain the generalized reflection and transmission coefficients in each layer. The fast Hankel transform integration method is implemented to evaluate the highly oscillating integrals of the Bessel functions. The developed code has been verified by comparison with published data and is proved to work stably and accurately for dipping angles up to 89.9° and larger than 90°. For, lower dipping angles, we further improve the efficiency of the code by using a modified Gauss-Laguerre quadrature with less sampling points instead of the fast Hankel transform to evaluate the integration without loss of accuracy.
机译:由于厚层油藏逐渐耗尽,薄型层压储层的检测和勘探变得越来越重要。薄的层压砂岩层可以作为横向各向性的横向各向同性,其特征在于水平和垂直电阻率。最近开发的三轴感应工具可以检测形成各向异性。在Traxial工具中,使用三个方向定向的三个正交发射器和接收器线圈。形成各向异性响应变送器接收器组合的不同部件,因此工具 - 该工具能够测量具有各向异性的形成电阻。测量数据必须通过反转转换为地层电阻。由于反转过程需要重复计算前向建模,因此快速前进建模对反转过程至关重要。本文介绍了一种ID分析方法,用于多层横向各向同性形成中的特拉链感应工具的高效模拟。这项工作基于以前的工作[i],具有适当的修改和改进。系数传播方法用于获得每层中的广义反射和透射系数。实现快速的Hankel变换集成方法以评估Bessel功能的高度振荡积分。通过与已发布数据的比较进行了验证,已验证开发的代码,并证明稳定,准确地倾倒高达89.9°和大于90°的角度。对于较低的倾斜角度,我们通过使用更改的高斯Laguerre正交来进一步提高代码的效率,而采样点较少而不是快速的Hankel变换来评估集成而不会损失精度。

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