A Variational Data Assimilation System for the Range Dependent Acoustic Model Using the Representer Method: Theoretical Derivations
Document Type
Article
Publication Date
7-1-2017
Department
Marine Science
School
Ocean Science and Engineering
Abstract
© 2017 U.S. Government. This study presents the theoretical framework for variational data assimilation of acoustic pressure observations into an acoustic propagation model, namely, the range dependent acoustic model (RAM). RAM uses the split-step Padé algorithm to solve the parabolic equation. The assimilation consists of minimizing a weighted least squares cost function that includes discrepancies between the model solution and the observations. The minimization process, which uses the principle of variations, requires the derivation of the tangent linear and adjoint models of the RAM. The mathematical derivations are presented here, and, for the sake of brevity, a companion study presents the numerical implementation and results from the assimilation simulated acoustic pressure observations.
Publication Title
Journal of the Acoustical Society of America
Volume
142
Issue
1
First Page
186
Last Page
194
Recommended Citation
Ngodock, H.,
Carrier, M.,
Fabre, J.,
Zingarelli, R.,
Souopgui, I.
(2017). A Variational Data Assimilation System for the Range Dependent Acoustic Model Using the Representer Method: Theoretical Derivations. Journal of the Acoustical Society of America, 142(1), 186-194.
Available at: https://aquila.usm.edu/fac_pubs/18423