一维声波方程反问题差分法的一些数值结果

应用科学学报 ›› 1988, Vol. 6 ›› Issue (2): 147-155.

一维声波方程反问题差分法的一些数值结果

顾桂定¹, 张关泉²

1. 上海科学技术大学;
2. 中国科学院计算中心

收稿日期:1985-05-30 修回日期:1986-09-20 出版日期:1988-06-30 发布日期:1988-06-30

SOME NUMERICAL RESULTS OF ONE-DIMENSIONALINVERSION FOR ACOUSTIC WAVESUSING DIFFERENCE METHOD

GU GUIDING¹, ZHANG GUANQUAN²

1. Shanghai University of Science and Technology;
2. Computing Center of the Academy of Sciences of China

Received:1985-05-30 Revised:1986-09-20 Online:1988-06-30 Published:1988-06-30

摘要/Abstract

摘要： 本文考虑了几种差分格式,对一维声波方程反问题进行了试算,并选择了不同的声阻抗模型.对于连续的模型,一般格式都是适用的,但对间断的模型,反射比较强烈时则要选择合适的格式.对复杂的间断声阻抗模型,人为地附加了较强噪音,以考察"平滑处理"控制声阻抗变差的作用.

Abstract: In this paper, several difference schemes are considered for the calculation of one-dimensional inversion for acoustic waves, and different kinds of model of acoustic impedance are tested. For continuous acoustic impedance, all the schemes considered are suitable, but for discontinuous impedance, we have to choose a suitable scheme to calculate, when the reflection is strong. In addition, when some noise is artificially added to the multilayer model, the function of the smooth processing is examined to control the variation of acoustic impedance.

顾桂定, 张关泉. 一维声波方程反问题差分法的一些数值结果[J]. 应用科学学报, 1988, 6(2): 147-155.

GU GUIDING, ZHANG GUANQUAN. SOME NUMERICAL RESULTS OF ONE-DIMENSIONALINVERSION FOR ACOUSTIC WAVESUSING DIFFERENCE METHOD[J]. Journal of Applied Sciences, 1988, 6(2): 147-155.