Adjoint-based acoustic inversion for the physical characterization of a shallow water environment

Journal of the Acoustical Society of America

Volumn 119, Issue 6, 2006, Pages 3860-3871

  Hermand, Jean Pierre ^c   Meyer, Matthias ^c   Asch, Mark ^a   Berrada, Mohamed ^b  

^a UNIVERSITÉ DE PICARDIE JULES VERNE   (France)

^b UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

^c NONE

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC ARRAYS; APPROXIMATION THEORY; CLIMATOLOGY; COMPUTATIONAL GEOMETRY; INVERSE PROBLEMS; TOMOGRAPHY;

ACOUSTIC INVERSION; GEOACOUSTIC INVERSION; WIDE-ANGLE APPROXIMATION (WAPE);

ACOUSTIC PROPERTIES;

WATER;

ACOUSTICS; ALGORITHM; CLIMATE; CONFERENCE PAPER; DATA ANALYSIS; ENVIRONMENT; FREQUENCY DISCRIMINATION; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; METEOROLOGY; OCEAN ENVIRONMENT; PRIORITY JOURNAL; SOUND; SOUND TRANSMISSION;

EID: 33745103708     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.2197790     Document Type: Conference Paper

References (43)

1. A. Thode and K. Kim, " Multiple-order derivatives of a waveguide acoustic field with respect to sound speed, density, and frequency., " J. Acoust. Soc. Am. 116 (6), 3370-3383 (2004).
2. A. Thode, " The derivative of a waveguide acoustic field with respect to a three-dimensional sound speed perturbation., " J. Acoust. Soc. Am. 115 (6), 2824-2833 (2004).
3. E. K. Skarsoulis and B. D. Cornuelle, " Travel-time sensitivity kernels in ocean acoustic tomography., " J. Acoust. Soc. Am. 116 (1), 227-238 (2004).
4. I. Charpentier and P. Roux, " Mode and wavenumber inversion in shallow water using an adjoint method., " J. Comput. Acoust. 12 (4), 521-542 (2004).
5. P. Hursky, M. B. Porter, W. S. Hodgkiss, and W. A. Kuperman, " Adjoint modeling for acoustic inversion., " J. Acoust. Soc. Am. 115 (2), 607-619 (2004).
6. J.-C. Le Gac, Y. St́phan, M. Asch, P. Helluy, and J.-P. Hermand, " A variational approach for geoacoustic inversion using adjoint modeling of a PE approximation model with non local impedance boundary conditions., " in Theoretical and Computational Acoustics 2003, edited by, A. Tolstoy,,, Y. Teng,, and, E. Shang, (World Scientific Publishing, Singapore, 2004), pp. 254-263.
7. M. Meyer and J.-P. Hermand, " Optimal nonlocal boundary control of the wide-angle parabolic equation for inversion of a waveguide acoustic field., " J. Acoust. Soc. Am. 117 (5), 2937-2948 (2005).
8. C. Sorror and S. Thiria, YAO User's guide. Version 1.0., Technical report TR-123, LOCEAN, Paris, France.
9. R. H. Byrd, P. Lu, and J. Nocedal, " A limited memory algorithm for bound constrained optimization., " SIAM (Soc. Ind. Appl. Math.) J. Sci. Stat. Comput. 16 (5), 1190-1208 (1995).
10. J. Gilbert and C. Lemaŕchal, " Some numerical experiments with variable-storage quasi-newton algorithms., " Math. Program. 45, 407-435 (1989).
11. D. C. Liu and J. Nocedal, " On the limited memory BFGS method for large scale optimization., " Math. Program. 45, 503-528 (1989).
12. G. Madec, P. Delecluse, M. Imbard, and C. Ĺvy, " OPA 8.1 Ocean General Model reference manual., " Technical note 11, LODYC/IPSL, Paris, France.
13. J. Noilhan and J.-F. Mahfouf, " The ISBA land surface parameterization scheme., " Glob. Planet. Change 13, 145-159 (1996).
14. A. Boone, J.-C. Calvet, and J. Noilhan, " The inclusion of a third soil layer in a land surface scheme using the force-restore method., " J. Appl. Meteorol. 38, 1611-1630 (1999).
15. D. Yevick and D. J. Thomson, " Nonlocal boundary conditions for finite-difference parabolic equation solvers., " J. Acoust. Soc. Am. 106 (1), 143-150 (1999).
16. M. Meyer, J.-P. Hermand, M. Asch, and J.-C. Le Gac, " An analytic multiple frequency adjoint-based inversion algorithm for parabolic-type approximations in ocean acoustics., " Inverse Probl. Sci. Eng.. 14 (3), 245-265 (2006).
17. O. Talagrand and P. Courtier, "Les ́quations adjointes - Application ̀ la mod́lisation nuḿrique," Atelier mod́lisation de l'atmosph̀re, Direction de la ḿt́ orologie, Toulouse, France.
18. R. Giering and T. Kaminski, " Recipes for adjoint code construction., " ACM Trans. Math. Softw. 24 (4), 437-474 (1998).
19. O. Talagrand, " Application of optimal control to meteorological problems., " Variational Methods in Geosciences, Vol. 5 of Developments in Geomathematics (Elsevier, New york, 1986) pp. 13-28.
20. R. M. Errico, " What is an adjoint model?, " Bull. Am. Meteorol. Soc. 78, 2577-2591 (1997).
21. S. J. Norton, " Iterative inverse scattering algorithms: Methods of computing Fŕchet derivatives., " J. Acoust. Soc. Am. 106 (5), 2653-2660 (1999).
22. S. J. Norton, " Iterative algorithms for computing the shape of a hard scattering object: Computing the shape derivative., " J. Acoust. Soc. Am. 116 (2), 1002-1008 (2004).
23. P. R. Gillivray and D. W. Oldenburg, " Methods for calculating Fŕchet derivatives and sensitivities for the non-linear inverse problem: A comparative study., " Geophys. Prospect. 38, 499-524 (1990).
24. A. Tarantola, " Inversion of seismic reflection data in the acoustic approximation., " Geophysics 49), 1259-1266 (1984).
25. M. B. Giles and N. A. Pierce, " An introduction to the adjoint approach to design., " Flow, Turbul. Combust. 65, 393-415 (2000).
26. M. Meyer and J.-P. Hermand, " Backpropagation techniques in ocean acoustic inversion: Time reversal, retrogation and adjoint modelling-A review., " in Acoustic Sensing Techniques for the Shallow Water Environment: Inversion Methods and Experiments, edited by, A. Caiti,,, R. Chapman,,, J.-P. Hermand,, and, S. Jesus, (Springer, Dordrecht, 2006), ISBN: 1-4020-4372-4 (in press).
27. J. L. Gross and J. Yellen, Graph Theory and its Applications, CRC series on Discrete Mathematics and its Applications (CRC Press, Florida, 2005).
28. R. Diestel, Graph Theory, Graduate Texts in Mathematics, Vol. 173 (Springer, Heidelberg, 2005).
29. J. Claerbout, " Coarse grid calculations of waves in inhomogeneous media with application to delineation of complicated seismic structure., " Geophysics 35), 407-418 (1970).
30. F. Jensen, W. Kuperman, M. Porter, and H. Schmidt, Computational Ocean Acoustics (American Institute of Physics Press, New York, 1994).
31. D. J. Thomson, " Wide-angle parabolic equation solutions to two range-dependent bench mark problems., " J. Acoust. Soc. Am. 87 (4), 1514-1520 (1990).
32. D. Thomson and C. Bohun, " A wide angle initial field for parabolic equation models., " J. Acoust. Soc. Am. 83, S118 (1988).
33. G. H. Brooke, D. J. Thomson, and G. R. Ebbeson, " PECAN: A Canadian parabolic equation model for underwater sound propagation., " J. Comput. Acoust. 9 (1), 69-100 (2001).
34. D. J. Thomson and M. E. Mayfield, " An exact radiation condition for use with the a posteriori PE method., " J. Comput. Acoust. 2 (2), 113-132 (1994).
35. D. J. Thomson, "Notes on the evaluation of the outer integral in PE NLBCs," (unpublished).
36. W. Press, S. Teukolsky, W. Vetterling, and B. Flannery, Numerical Recipes, 2nd ed. (Cambridge Univ. Press, Cambridge, U.K., 1992).
37. J.-P. Hermand, M. Meyer, M. Asch, M. Berrada, C. Sorror, S. Thiria, F. Badran, and Y. St́phan, " Semi-automatic adjoint PE modeling for geoacoustic inversion., " in Seventh International Conference on Theoretical and Computational Acoustics, edited by, D. Lee,,, A. Tolstoy,,, E. Shang,, and, Y. Teng, (World Scientific Publishing, 2006), Hangzhou, Zhejiang, China, 19-23 September 2005 (to appear).
38. M. S. Zhdanov, " Geophysical inverse theory and regularization Problems., " No. 36 in Methods in Geochemistry and Geophysics (Elsevier, Amsterdam, 2002).
39. M. Hanke and P. C. Hansen, " Regularization methods for large-scale problems., " Surv. Math. Ind. 3, 253-315 (1993).
40. S. J. Norton, " The inverse-scattering problem and global convergence., " J. Acoust. Soc. Am. 118 (3), 1534-1539 (2005).
41. J.-P. Hermand and P. Gerstoft, " Inversion of broadband multitone acoustic data from the YELLOW SHARK summer experiments., " IEEE J. Ocean. Eng. 21 (4), 324-346 (1996).
42. J.-P. Hermand, " Broad-band geoacoustic inversion in shallow water from waveguide impulse response measurements on a single hydrophone: Theory and experimental results., " IEEE J. Ocean. Eng. 24 (1), 41-66 (1999).
43. J.-P. Hermand and C. W. Holland, " Geoacoustic characterisation of fine-grained sediments using single and multiple reflection data., " Mar. Geophys. Res. 21, 267-274 (2005).