首页|Piecewise Acoustic Source Imaging with Unknown Speed of Sound Using a Level-Set Method
Piecewise Acoustic Source Imaging with Unknown Speed of Sound Using a Level-Set Method
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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.
Inverse gravimetryAcoustic source imagingInversion of sound speedLevel-set methodInverse problem
Guanghui Huang、Jianliang Qian、Yang Yang
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Petroleum Geo-Services,Houston,TX 77079,USA
Department of Mathematics,Michigan State University,East Lansing,MI 48824,USA
Department of Computational Mathematics,Science and Engineering,Michigan State University,East Lansing,MI 48824,USA
NSFNSFNSFNSFNSFNSFNIHstartup fund from Michigan State University
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