A VARIATIONAL APPROACH FOR GEOACOUSTIC INVERSION USING ADJOINT MODELING OF A PE APPROXIMATION MODEL WITH NON LOCAL IMPEDANCE BOUNDARY CONDITIONS

Jean-Claude Le Gac (1) , Yann Stéphan (1) , Mark Asch (2) , Philippe Helluy (2) , Jean-Pierre Hermand (3)

1 EPSHOM
2 IMATH - Institut de Mathématiques de Toulon - EA 2134
3 NIOZ - Royal Netherlands Institute for Sea Research

The adjoint model method of control theory is known to give accurate and efficient data assimilation processes in oceanography and meteorology. However, it has rarely been applied in underwater acoustics for inversion purposes. Based on the back-propagation of the mismatch between observations and their predictions, the adjoint model can produce the corrections to the associated direct forward model input parameters. In this paper, the adjoint of a parabolic equation propagation model with non local impedance boundary conditions at the water sediment interface is used in order to determine an acoustically equivalent representation of the seabed. The bottom is represented by these boundary conditions that play the role of the control parameter.

Domaines: Equations aux dérivées partielles [math.AP]

Jean-Claude Le Gac, Yann Stéphan, Mark Asch, Philippe Helluy, Jean-Pierre Hermand. A VARIATIONAL APPROACH FOR GEOACOUSTIC INVERSION USING ADJOINT MODELING OF A PE APPROXIMATION MODEL WITH NON LOCAL IMPEDANCE BOUNDARY CONDITIONS. Theoretical and computational acoustics 2003, Aug 2003, Honolulu, United States. pp.254 - 263, ⟨10.1142/9789812702609_0023⟩. ⟨hal-01419017⟩