中国物理B ›› 2019, Vol. 28 ›› Issue (10): 104301-104301.doi: 10.1088/1674-1056/ab3f93

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇    下一篇

Theoretical framework for geoacoustic inversion by adjoint method

Yang Wang(汪洋), Xiao-Feng Zhao(赵小峰)   

  1. 1 School of Marine Science and Technology, Northwestern Polytechnical University, Xi'an 710072, China;
    2 Key Laboratory of Marine Intelligent Equipment and System of Ministry of Education, Shanghai Jiao Tong University, Shanghai 200240, China;
    3 College of Meteorology and Oceanography, National University of Defense Technology, Nanjing 211101, China
  • 收稿日期:2019-07-21 修回日期:2019-08-26 出版日期:2019-10-05 发布日期:2019-10-05
  • 通讯作者: Xiao-Feng Zhao E-mail:zxf_best@126.com
  • 基金资助:
    Project supported by the Foundation of Key Laboratory of Marine Intelligent Equipment and System of Ministry of Education, China (Grant No. SJTU-MIES1908) and the National Natural Science Foundation of China (Grant No. 41775027).

Theoretical framework for geoacoustic inversion by adjoint method

Yang Wang(汪洋)1,2, Xiao-Feng Zhao(赵小峰)2,3   

  1. 1 School of Marine Science and Technology, Northwestern Polytechnical University, Xi'an 710072, China;
    2 Key Laboratory of Marine Intelligent Equipment and System of Ministry of Education, Shanghai Jiao Tong University, Shanghai 200240, China;
    3 College of Meteorology and Oceanography, National University of Defense Technology, Nanjing 211101, China
  • Received:2019-07-21 Revised:2019-08-26 Online:2019-10-05 Published:2019-10-05
  • Contact: Xiao-Feng Zhao E-mail:zxf_best@126.com
  • Supported by:
    Project supported by the Foundation of Key Laboratory of Marine Intelligent Equipment and System of Ministry of Education, China (Grant No. SJTU-MIES1908) and the National Natural Science Foundation of China (Grant No. 41775027).

摘要: Traditional geoacoustic inversions are generally solved by matched-field processing in combination with meta-heuristic global searching algorithms which usually need massive computations. This paper proposes a new physical framework for geoacoustic retrievals. A parabolic approximation of wave equation with non-local boundary condition is used as the forward propagation model. The expressions of the corresponding tangent linear model and the adjoint operator are derived, respectively, by variational method. The analytical expressions for the gradient of the cost function with respect to the control variables can be formulated by the adjoint operator, which in turn can be used for optimization by the gradient-based method.

关键词: geoacoustic inversion, adjoint method, parabolic equation, non-local boundary condition

Abstract: Traditional geoacoustic inversions are generally solved by matched-field processing in combination with meta-heuristic global searching algorithms which usually need massive computations. This paper proposes a new physical framework for geoacoustic retrievals. A parabolic approximation of wave equation with non-local boundary condition is used as the forward propagation model. The expressions of the corresponding tangent linear model and the adjoint operator are derived, respectively, by variational method. The analytical expressions for the gradient of the cost function with respect to the control variables can be formulated by the adjoint operator, which in turn can be used for optimization by the gradient-based method.

Key words: geoacoustic inversion, adjoint method, parabolic equation, non-local boundary condition

中图分类号:  (Ocean parameter estimation by acoustical methods; remote sensing; imaging, inversion, acoustic tomography)

  • 43.30.Pc
43.30.Ma (Acoustics of sediments; ice covers, viscoelastic media; seismic underwater acoustics) 02.30.Zz (Inverse problems)