二维双相介质波动方程孔隙率反演的时卷正则迭代法

Time-convolution regularization iteration method for wave-equation porosity inversion in 2-D two-phase medium

应用时卷正则化方法对在二维双相介质的波动方程中参数─—孔隙率进行反演，可通过引入辅助边界脉冲源的响应，导出关于孔隙率增量的线性化积分方程，并利用正则化方法求解，以便构成一种构造简单、稳定的迭代方法。文中给出的数值算例说明了该方法的可行性。

In applying time-convolution regularization to the inversion of porosity-a parameter of wave equation in 2-D two-phase medium, we may introduce the responses of supplementary-boundary pulse source to deduce the linearized integration equation relating to porosity increment, which then can be solved by using regularization method, The solution procedure is actually a simple and stable iterativemethod. The trial computation example proves the method feasible.