Analyzing lateral seabed variability with Bayesian inference of seabed reflection data

Jan Dettmer, Charles Holland, Stan E. Dosso

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

This paper considers Bayesian inversion of seabed reflection-coefficient data for multi-layer geoacoustic models at several sites, with the goal of studying lateral variability of the seabed. Rigorous uncertainty estimation is carried out to resolve lateral variability of the sediments from inherent inversion uncertainties. The uncertainty analysis includes Bayesian model selection, comprehensive quantification of data error statistics, and a Markov-chain Monte Carlo approach to transforming data uncertainties to model uncertainties. Model selection is addressed using the Bayesian information criterion to ensure parsimony of the parametrizations. Data error statistics are quantified by estimating full covariance matrices from data residuals, with posterior statistical validation. A Metropolis-Hastings sampling algorithm is used to compute posterior probability densities. Four experiment sites are considered along a track located on the Malta Plateau, Mediterranean Sea, and the inversion results are compared to cores taken at each site. Differences between profile marginal-probability distributions at adjacent sites are quantified using the Bhattacharyya coefficient. Differences that exceed the estimated geoacoustic uncertainties are interpreted as spatial variability of the seabed. The results are compared to an interpretation of geologic features evident in a chirp sub-bottom-profiler section.

Original languageEnglish (US)
Pages (from-to)56-69
Number of pages14
JournalJournal of the Acoustical Society of America
Volume126
Issue number1
DOIs
StatePublished - Aug 10 2009

Fingerprint

inference
inversions
Malta
statistics
Mediterranean Sea
Markov chains
chirp
plateaus
sediments
estimating
sampling
reflectance
Bayesian Inference
Uncertainty
coefficients
profiles
Inversion

All Science Journal Classification (ASJC) codes

  • Acoustics and Ultrasonics

Cite this

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abstract = "This paper considers Bayesian inversion of seabed reflection-coefficient data for multi-layer geoacoustic models at several sites, with the goal of studying lateral variability of the seabed. Rigorous uncertainty estimation is carried out to resolve lateral variability of the sediments from inherent inversion uncertainties. The uncertainty analysis includes Bayesian model selection, comprehensive quantification of data error statistics, and a Markov-chain Monte Carlo approach to transforming data uncertainties to model uncertainties. Model selection is addressed using the Bayesian information criterion to ensure parsimony of the parametrizations. Data error statistics are quantified by estimating full covariance matrices from data residuals, with posterior statistical validation. A Metropolis-Hastings sampling algorithm is used to compute posterior probability densities. Four experiment sites are considered along a track located on the Malta Plateau, Mediterranean Sea, and the inversion results are compared to cores taken at each site. Differences between profile marginal-probability distributions at adjacent sites are quantified using the Bhattacharyya coefficient. Differences that exceed the estimated geoacoustic uncertainties are interpreted as spatial variability of the seabed. The results are compared to an interpretation of geologic features evident in a chirp sub-bottom-profiler section.",
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Analyzing lateral seabed variability with Bayesian inference of seabed reflection data. / Dettmer, Jan; Holland, Charles; Dosso, Stan E.

In: Journal of the Acoustical Society of America, Vol. 126, No. 1, 10.08.2009, p. 56-69.

Research output: Contribution to journalArticle

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