应力场和电磁场在脆性压电岩体中耦合行为的理论研究

A Theoretical Study of the Coupling Behavior Between Stress Field and Electromagnetic Field in the Brittle Piezoelectric Rock

基于压电体中的压电本构方程,给出了应力波在含石英等压电介质脆性岩体中的传输效应,计算得到了各种应力波幅值和频率对其辐射的电磁波强度和频段间的关系,并阐明了压电体中应力波和电磁波的耦合机制。在此基础上,对于几种不同晶系结构,给定应力波形式的前提下,指出了压电应变矩阵对压电介质中应力场和电磁场的耦合行为所起的决定性作用。本文的研究结果能较好解释地震和岩石动力破裂过程中的声电光现象。

Based on the constitutive equation of the piezoelectric body, the transmission effect of the stress wave in the rock quartz contained has been presented; the relation between intensity and frequency of the stress wave and the radiated electromagnetic wave has been obtained; the coupling mechanism between the stress wave and electromagnetic wave is clarified also in this paper. Furthermore, for different crystal structures, if the form of the stress wave is given in advance, piezoelectric strain matrix determines the coupling behavior between stress field and electromagnetic field completely. The phenomena of light and acoustic and electromagnetic emission can be explained well during seism and rock facture according to the results of the paper.