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Article Dans Une Revue Inverse Problems Année : 2000

Imaging an object buried in the sediment bottom of a deep sea by linearized inversion of synthetic and experimental scattered acoustic wavefields

Résumé

This paper is concerned with the reconstruction, from measured (synthetic and experimental) data, of a 2D penetrable fluid-like cylindrical object of arbitrary cross-section imbedded in a fluid-like (sediment) half-space separated by a plane interface from another fluid halfspace (deep water) wherein propagates a plane acoustic interrogating wave. The Green theorem is used to provide (1) a domain integral representation (DIR) of the scattered field and (2) a domain integral equation (DIE) for the pressure field in a test region containing the object. Both the DIE and DIR are discretized by collocation, thereby leading to a linear system of equations for the discretized pressure in the test region and a linear transform for the discretized pressure outside the test region. This is the means adopted herein for generating synthetic scattered field data. The inverse problem is linearized by replacing the (unknown) field in the test region by the (known) field which is established in the water/sediment system in the absence of the object. Using this Born approximation and minimizing the discrepancy between the measured and model scattered fields gives rise to a linear system of equations for the (unknown) discretized index-of-refraction contrast function in the test region. Due to its ill conditioned nature, the linear system is solved by a singular value decomposition technique. Images of the index-of-refraction contrast representation of the object obtained by inversion of both simulated and experimentally measured scattered field data are presented and compared.
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Dates et versions

hal-00704358 , version 1 (05-06-2012)

Identifiants

  • HAL Id : hal-00704358 , version 1

Citer

Régine Guillermin, Philippe Lasaygues, Jean-Pierre Sessarego, Armand Wirgin. Imaging an object buried in the sediment bottom of a deep sea by linearized inversion of synthetic and experimental scattered acoustic wavefields. Inverse Problems, 2000, 16 (6), pp.1777-1797. ⟨hal-00704358⟩
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