一维波动方程两种正演数值方法的关系及反演

TWO FORWARD NUMERICAL METHODS FOR ONE DIMENSIONAL WAVE EQUATION AND INVERSION

大连理工大学

本文证明了一维波动方程的特征线法正演^[1]与合成地震记录^[2]的一致性;给出了一种新的数值反演迭代算法。通过数值试验表明这种方法效果较好.且能抗一定的噪音,因而有进一步推向实用的价值。

In the paper, the consistency shown between the forward for one dimensional wave equation eigenline and synthetic seismogram is proved and an algorithm newly developed for inverse iteration is presented. Examples of numerical evaluatidn demonstrate that the algorithm being discussed could produce fairly good result and is to a certain degree noise-resistant. So it tends to be growingly recommendable for its appreciable value of use.