| An inverse algorithm for reconstructing the acoustic parameters of layered medium |
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| 作者姓名： | LIN Junxuao |
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| 摘 要： | I.IntroductionThcinvcrsescattcringprob1cmisbasicinarcassuchasradar,sonar,geophysica1explora-honandnondestructivctesting.Whenthescatteringobjectisaconstitutiveparametersvaryinacontinuousmannerandtheinvcrseproblcmistodctcrmineoneormoreoftheseparametcrsfromtheobserveddata.Muchofthcpreviousworkonthisproblcmforthecaseofp1anewaveatnormalincidencchasconsistcdofderivingaSchr6dingerequationfromthebasicacousticandstrcss-straincquations,andthenreconstruchngthepotentialappearinginthisequationbyusingtheGe…
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An inverse algorithm for reconstructing the acoustic parameters of layered medium |
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| Authors: | LIN Junxuao |
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| Institution: | Ocean University of Qingdao. Qingdao 266003 |
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| Abstract: | The inverse problem in geophysics is to infer the vertical structure from the observed data. The crucial assumption in deriving inversion algorithms obtained for different elementary layer structures. Much of the previous work on this problem for the case of plane wave at normal incidence has consisted of deriving a Schrodinger equation from the basic acoustic and stress-strain equations, and then reconstructing the potential appearing in this equation by using the Gelfand-Levitan procedure. We shall be concerned with structures in which the unknown coefficient has jump discontinuities. Here the unknown potential in the corresponding Gelfand-Levitan framework is highly singular, so much so that the theory breaks down. In this paper it is presented an inversion algorithm based on the Riccati equation,which avoids to solve the problem of singularity. The model experiment was conducted in a sewage pool of a factory. The final result of inversion agrecd well with the direct experimental observation. |
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| Keywords: | Inverse algorithm Layered medium |
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