三正交线圈系在均匀地层中的趋肤效应影响研究

THE INFLUENCE OF SKIN EFFECT OF THE THREE-ORTHOGONAL COIL SYSTEM IN HOMOGENEOUS FORMATION

三正交线圈系可探测各向同性以及各向异性地层的电导率。本文主要讨论了三正交线圈下的均匀各向同性模型，并利用低频测量电流，近似于单板子源，推导了各向同性地层视电导率解析解的计算全过程。分析了均匀各向同性地层下的视电导率在不同频率下的响应函数，及该模型下电导率的响应特性。通过总结三正交线圈在均匀地层中的视电导率的一些知识，为下一步仪器设计奠定理论基础。

Three-orthogonal coil system can detect the electrical conductivity of isotropic and anisotropic formation.This paper discusses the uniform isotropic model of such system,and deduces the analytic solution of the apparent conductivity in isotropic formation through approximating low frequency current to a monopole source.Then it analyzes the response functions of the apparent conductivity of uniform isotropic formation at different frequencies and response characteristics of electrical conductivity under the model.The summary of relative knowledge will lay a theoretical foundation for further instrument design.