Piecewise Acoustic Source Imaging with Unknown Speed of Sound Using a Level-Set Method  

作　　者：Guanghui Huang Jianliang Qian Yang Yang 

机构地区：[1]Petroleum Geo-Services,Houston,TX 77079,USA [2]Department of Mathematics,Michigan State University,East Lansing,MI 48824,USA [3]Department of Computational Mathematics,Science and Engineering,Michigan State University,EastLansing,MI48824,USA

出　　处：《Communications on Applied Mathematics and Computation》2024年第2期1070-1095,共26页应用数学与计算数学学报（英文）

基　　金：partially supported by the NSF(Grant Nos.2012046,2152011,and 2309534);partially supported by the NSF(Grant Nos.DMS-1715178,DMS-2006881,and DMS-2237534);NIH(Grant No.R03-EB033521);startup fund from Michigan State University.

摘　　要：We investigate the following inverse problem:starting from the acoustic wave equation,reconstruct a piecewise constant passive acoustic source from a single boundary temporal measurement without knowing the speed of sound.When the amplitudes of the source are known a priori,we prove a unique determination result of the shape and propose a level set algorithm to reconstruct the singularities.When the singularities of the source are known a priori,we show unique determination of the source amplitudes and propose a least-squares fitting algorithm to recover the source amplitudes.The analysis bridges the low-frequency source inversion problem and the inverse problem of gravimetry.The proposed algorithms are validated and quantitatively evaluated with numerical experiments in 2D and 3D.

关 键 词：Inverse gravimetry Acoustic source imaging Inversion of sound speed Level-set method Inverse problem 

分 类 号：O42[理学—声学] O24[理学—物理]