PMID- 28764421
OWN - NLM
STAT- PubMed-not-MEDLINE
LR  - 20191120
IS  - 1520-8524 (Electronic)
IS  - 0001-4966 (Linking)
VI  - 142
IP  - 1
DP  - 2017 Jul
TI  - A variational data assimilation system for the range dependent acoustic model 
      using the representer method: Theoretical derivations.
PG  - 186
LID - 10.1121/1.4989541 [doi]
AB  - 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 Pade 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.
FAU - Ngodock, Hans
AU  - Ngodock H
AD  - The Naval Research Laboratory Code 7320, 1009 Balch Boulevard, Stennis Space 
      Center, Mississippi 39529, USA.
FAU - Carrier, Matthew
AU  - Carrier M
AD  - The Naval Research Laboratory Code 7320, 1009 Balch Boulevard, Stennis Space 
      Center, Mississippi 39529, USA.
FAU - Fabre, Josette
AU  - Fabre J
AD  - The Naval Research Laboratory Code 7180, 1005 Balch Boulevard, Stennis Space 
      Center, Mississippi 39529, USA.
FAU - Zingarelli, Robert
AU  - Zingarelli R
AD  - The Naval Research Laboratory Code 7180, 1005 Balch Boulevard, Stennis Space 
      Center, Mississippi 39529, USA.
FAU - Souopgui, Innocent
AU  - Souopgui I
AD  - Department of Marine Sciences, The University of Southern Mississippi, 1020 Balch 
      Boulevard, Stennis Space Center, Mississippi 39529, USA.
LA  - eng
PT  - Journal Article
PT  - Research Support, U.S. Gov't, Non-P.H.S.
PL  - United States
TA  - J Acoust Soc Am
JT  - The Journal of the Acoustical Society of America
JID - 7503051
EDAT- 2017/08/03 06:00
MHDA- 2017/08/03 06:01
CRDT- 2017/08/03 06:00
PHST- 2017/08/03 06:00 [entrez]
PHST- 2017/08/03 06:00 [pubmed]
PHST- 2017/08/03 06:01 [medline]
AID - 10.1121/1.4989541 [doi]
PST - ppublish
SO  - J Acoust Soc Am. 2017 Jul;142(1):186. doi: 10.1121/1.4989541.