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Simulation of Electromagnetic Wave LWD tool response based on a volume integral equation method

机译:基于体积积分方程法的电磁波随钻测井仪响应模拟

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An efficient volume integral equation (VIE) method based on piecewise constant basis functions (PWCBF) is presented for simulation of Electromagnetic Wave Logging-While-Drilling (EM LWD) tool response. The use of the basis allows a geometric discretization of nonconformal meshes, which leads to much flexibility in geometric modeling, but a hypersingular integral involving in the gradient-gradient operator applied on the Green's function must be handled. Examples of applying the VIE into modeling of EM LWD tool response are presented, which show the accuracy and efficiency of the scheme. An analytical method based on spherical functions expansion is used to obtain the exact electric fields radiated from transmitter coil of LWD tool in comparison with magnetic dipole approximation.
机译:提出了一种基于分段常数基函数(PWCBF)的有效体积积分方程(VIE)方法,用于模拟电磁波测井-钻进(EM LWD)工具响应。使用该基础可以对非共形网格进行几何离散化,从而在几何建模中带来很大的灵活性,但是必须处理涉及Green函数上应用的梯度梯度算符的超奇异积分。给出了将VIE应用到EM LWD工具响应建模中的示例,这些示例显示了该方案的准确性和效率。与磁偶极近似法相比,采用基于球面函数展开的解析方法获得了随钻测井仪发射线圈辐射出的精确电场。

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