基于Born散射理论的二维黏声介质高斯波束正演  

2D Born forward modeling for visco-acoustic media using Gaussian beam

作　　者：孙辉 岳玉波[3] 李猛 SUN Hui;YUE YuBo;LI Meng(Faculty of Geosciences and Environmental Engineering,Southwest Jiaotong University,Chengdu 611756,China;MOE Key Laboratory of High-speed Railway Engineering,Southwest Jiaotong University,Chengdu 610031,China;Research and Development Center,Bureau of Geophysical Prospecting(BGP),China National Petroleum Corporaton,Zhuozhou 072751,China)

机构地区：[1]西南交通大学地球科学与环境工程学院,成都611756 [2]西南交通大学高速铁路线路工程教育部重点实验室,成都610031 [3]东方地球物理公司物探技术研究中心,涿州072751

出　　处：《地球物理学报》2021年第2期637-644,共8页Chinese Journal of Geophysics

基　　金：国家自然科学基金(41804100,42074173);河北省自然科学基金(D2019403082);中国博士后科学基金(2018M640910,2020T130080);中央高校基本科研业务费专项资金(2682018CX36)联合资助.

摘　　要：Born散射理论可以通过省略高阶项实现针对一次散射波场的模拟.在这一理论的基础上,本文提出了一种针对二维黏声介质的一次散射波场高斯束Born正演方法.在该方法中,格林函数通过一系列不同初射方向的高斯波束累加获得,可以计算多至走时波场,保证了正演算法的计算精度.同时为了提高计算效率,正演方法使用了wavelet-bank方式合成局部平面波.区别于针对声波介质正演的wavelet-bank使用方法,文中将介质黏滞性信息融入了局部平面波的wavelet-bank合成方法中,以此实现针对黏声介质的快速一次散射波场模拟.两个模型的计算结果表明:本文提出的黏声介质高斯波束正演方法具有良好的计算精度以及较高的计算效率.The Born scattering formula can be used to simulate the single-scattering wavefield by omitting high-order terms.Based on this theory,we propose a Gaussian beam Born modeling method for the 2D visco-acoustic medium.In this method,the Green′s function is obtained by accumulating Gaussian beams,which can calculate the multi-arrival time wavefield,ensuring the accuracy of the modeling method.At the same time,in order to improve the computational efficiency,the Born forward modeling method employs the wavelet-bank way to synthesize local plane waves.Different from the wavelet-bank method used for acoustic wavefield modeling,we integrate the viscosity information of the medium into the wavelet-bank method,so as to simulate the single-scattering wavefield for 2D visco-acoustic media.The tests on two models show that the Gaussian beam Born forward modeling method for visco-acoustic media proposed in this paper has high calculation accuracy and efficiency.

关 键 词：地震波正演 Born正演 高斯波束 黏声介质 

分 类 号：P631[天文地球—地质矿产勘探]