【摘要】 本文将讨论电法勘探中电磁波在水平层状介质中的传播特征,着重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。本文提出了与时间域地震波的脉冲响应z变换相类似的伪脉冲响应u变换,并在算法上实现了新的变换技巧,直接恢复伪脉冲响应。所恢复的这些伪脉冲响应是由一些离散尖脉冲组成。脉冲幅度与分层介面波场的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迭代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,并通过一组大地电磁的正演数据来验证伪脉冲理论的正确性。更多还原

【Abstract】 The propagation character of an electromagnetic wave in a horizontally stratified medium is considered and the nalogy of the mathematical expression for the propagation character of EM and seismic waves in the horizontally stratified earth is discussed. In this paper, the author shows the u-transform of the pseudo-impulse response which is as analoggus to the z-transform of the impulse response of seismic wave in time domain, and realizes a new transform in the algorithm, in order to recover directly the pseudo-impulse response. The constructed pseudo-impulse response is made up of discrete pulses whose amplitudes depend on the electromagnetic-wave reflection and transmission coefficients at various layer interfaces. In this paper,the author uses the least-square and trace of SIRT to solve the equations with the number of variables more than the number of equations under the restrained conditions of modulo. Applications of the method to the one-dimensional model show the validity of the theory of pseudo-impulse.更多还原