摘要
在频率较低和忽略电磁效应的情况,将矿物中所含激电效应的颗粒等效为椭球体,利用广义等效理论,给出一种椭球极化广义等效激电(Generalized Effective Medium Theory of Induced Polarization)模型的频谱曲线计算方法。从矿物电磁感应与激发极化产生的总电场满足的积分方程出发,推导出椭球极化介质等效电阻率的表达式。最后构建不同形态的椭球体等效模型,定量分析了椭圆率、极化矿物颗粒百分含量、时间常数、以及延迟系数变化时对复电阻率频散特性的影响,为频谱激电测量提供更多有价值的参考。
In the case of ignoring the electromagnetic effects at low frequencies,the particles of IP effect contained in mineral is equivalent to ellipsoid and the calculation method of spectrum curve of an ellipsoid polarization＇s model will be given,based on generalized effective medium theory of induced polarization.From the beginning of integration equation of the total electric filed produced by the mineral electromagnetic induction and the induced polarization,the expression of equivalent resistivity of the ellipsoid polarized medium is deduced.Finally,the ellipsoid equivalent models of different forms are structured and the ellipse rate,the percentage of polarized mineral particles,time constant and the effect of frequency dispersion characteristics of complex resistivity when delay coefficient changes are analyzed quantitatively,which provides a valuable reference for the measurement of spectrum induced polarization.
出处
《工程地球物理学报》
2017年第2期217-224,共8页
Chinese Journal of Engineering Geophysics
基金
国家自然科学基金(编号:41164004
41674075)
广西自然科学基金(编号:2016GXNSFGA380004)
桂林理工大学研究生创新项目(编号:BS201601)
关键词
椭球极化
GEMTIP模型
频散特性
ellipsoid polarization
GEMTIP model
characteristics of frequency dispersion
