| 摘要: |
| 对比反演(csi)算法将反演问題转化为求解成本泛函的极小值问题,从而形成重构对比源和对比度的迭代 序列。开发了一种三维csi算法对层状介质中的三维物体进行重构，该算法是对二维对比源反演算法的推广。该算 法无须正演计算，亦无须人为地选择正则化参数,反演过程更稳定。CSI的每一次迭代过程均采用快速Fourier变换 技术计算并矢Green函数算子及其共轭算子,确保了该算法在三维层状介质情况下的高效率。复杂模型的反演结果 说明，CSI算法对重构屋状介质中的任意三维异常体是非常有效的。 |
| 关键词: 对比源反演(CSI)算法；层状介质；三维物体重构；并矢Green困数 快速Fouriei变换 |
| DOI： |
| 分类号: |
| 基金项目:美国国家科学基金(COWJ2I9528)和中国石油大学博士科研基金(Y031807) |
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| Contrast source inversion algorithm for reconstructing 3-D objects in stratiHed medium |
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WEI Bao-jun1,2,UU Q H2
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(1. College of Physics Science and Technology in China University of Petroleum, Dongymg 257061，Shandojig Province, China ; 2.Department of Electrical & Computer Engimering, Duke University f Durhamf NC 27708 f USA)
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| Abstract: |
| Contrast source inv^r^ton (CSI) algorithm recasts the inve^sioti problem as & muiimizaiion erf & cost functional, thus an iterative sequence is formed to reconstruct the contrast sources and contrasts, A 3-D CSI algorithm was developed to reconstruct 3-D objects in stratified medium It is on extension of 2-D CSI algorithm. As there is no need for the forward solver and a manual selection of regularization parameter in the algorithm, tKe inversion process is more stable. The fast Fourier transform technology is adopted to calcsulate the dyadic Green's operator and its adjoint operator during each iteration of CSI， which ensures the high efficiency of the algorithm in stratified medium. The inversion results for some complicated models obtained from the CSI algorithm show that the algorithm is very efficient in reconstmcting arbitwy 3-D inhomogeneous objects in h stratified medium. |
| Key words: contrast &ource inversion (CSI) algorithm stratified medium reconstruction of 3-D objects dyadic Green's function fast Fourier transform |
