电场中不均匀导电媒质的电荷分布及其应用

利用高斯定理和电荷守恒原理,求得电场中不均匀导电媒质的电荷分布规律,发现电荷分布与电场强度大小和方向及媒质的不均匀性有关,与初始条件无关,而且稳定电场和似稳电场中电荷分布是相同的。应用所得理论结果,对裸眼井井壁的面电荷分布和地层冲洗带内的体电荷分布情况作了初步的探讨。

Charge Distribution of Nonuniform Conductive Medium in Electric Field and Its Applications

Gauss Theorem and the principles of charge conservation are used to derive the charge distribution of nonuniform conductive medium in electric field. It was found that the charge distribution was related to the magnitude and direction of the electric field's intensity, and the nonuniformity of the medium, but was independent of the initial condition. It was also observed that the charge distribution was indentical for sable and quasi—stable electic fields. A preliminary discussion is made on surface charge distribution on the borehole wall and volume charge distribution in the flushed zone in a borehole by using the theoretical results.