Analytical model for a polarizable medium at radio and lower frequencies
Analytical model for a polarizable medium at radio and lower frequencies
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DOI：
10.1029/jb077i026p04945
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发表时间：
1972-09
影响因子：
--
通讯作者：
C. Dias
中科院分区：
文献类型：
--
作者：
C. Dias
麦克斯韦方程组的书面和讨论在频域中的介质表现出电极化在无线电和较低的频率，在电流密度和电场强度之间的线性范围内。提出了一个复频率函数的电导率，这是能够描述所有的家庭可用的实验曲线的岩石样品在自然状态下，显示极化的影响。这样的函数是可极化介质在频域中的本构关系。岩石的“异常”介电常数的概念进行了讨论的物理机制负责的影响，在无线电频率和以下。这样一个概念，在理论上总是可能的，只是在理解所涉及的基本物理机制时引入了混乱。作为一种替代方法，建议广泛使用总电流复电导率的概念。
The Maxwell equations are written and discussed in the frequency domain for a medium exhibiting electrical polarization at radio and lower frequencies, in the range of linearity between current density and electric-field intensity. A complex function of frequency is proposed for the conductivity, which is able to describe all the families of available experimental curves for rock samples in the natural state, showing the effect of polarization. Such a function is a constitutive relation for the polarizable medium in the frequency domain. The concept of ‘abnormal’ dielectric constant for rocks is discussed in the context of the physical mechanisms responsible for the effect of electrical polarization at radio frequencies and below. Such a concept, always possible theoretically, only introduces confusion in the understanding of the basic physical mechanisms involved. As an alternative the extensive use of the concept of a total current complex conductivity is suggested.