仿用反射地震法处理MT资料反演的理论探讨

本文讨论了电法勘探中电磁波场在水平层状介质中的传播特征,重点讨论它与地震波在水平层状介质中的传播特征在数学形式上的相似性,同时利用反射地震学中的脉冲响应概念来构建电法勘探中的伪脉冲函数响应.所恢复的伪脉冲响应是由一些离散脉冲函数组成,脉冲幅度与分层介面的波场反射系数和透射系数有关.本文采用拟合最小二乘法同时进行代数联合迭代(SIRT)跟踪的方法解决了欠定方程在其范数约束条件下的求解问题.并把该方法应用于一维多层导电体模型中,证实了伪脉冲理论的可靠性与实用性.

A THEORETICAL APPROACH TO INVLRSION OF MTDATA USING A MEANS ANALOGOUS TO THE REFLECTIONSEISMIC METHOD

This Paper deals with propagation characteristics of the electromagneticwave field in horizontal stratified media in electrical prospecting with anemphasis placed on the analogy in mathematical expression between the pro-pagation of electromagnetic wave and that of seismic wave in such media. Inaddition, the concept of impulse response in reflection seismology is used toconstruct pseudo-impulse function response in electrical prospecting. The con-structed pseudo-impulse response is composed of some discrete impulse func-tions, whose amplitudes are related to reflection and transmission coefficientsof electromagnetic wave at boundaries of various layers.The least squares and tracing of SIRT are used to solve equations in whichthe number of variables is more than the nunmber of equations under the res-traint of the norm. The application of this method to one-dimensional multi-layered conductive model demonstrates the reliability and practicability of the.pseudo-impulse theory.