Geoacoustic inversion for the seabed transition layer using a Bernstein polynomial model

Jorge E. Quijano, Stan E. Dosso, Jan Dettmer, Charles Holland

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

This paper develops an inversion method for the seabed transition layer at the water-sediment interface, often found in muddy sediments, which provides density and sound-speed profiles that were previously not resolvable. The resolution improvements are achieved by introducing a parametrization that captures general depth-dependent gradients in geoacoustic parameters with a small number of parameters. In particular, the gradients are represented by a sum of Bernstein basis functions, weighted by unknown coefficients. Compared to previous forms found in the literature, the Bernstein-based parametrization can represent a wider range of depth-dependent geoacoustic profiles using fewer parameters which leads to reduced uncertainty and improved resolution. In addition, the Bernstein basis is the most stable polynomial representation in that small perturbations to the unknown coefficients result in small, localized perturbations to the geoacoustic profile, thereby providing an efficient exploration of the parameter space using Markov-chain methods in nonlinear inversion. Geoacoustic profiles at four mud sites on the Malta Plateau are studied with the proposed approach. Results show exceptional resolution of density profiles, estimated with low uncertainty and clear sensitivity to sediment features of centimeter scale.

Original languageEnglish (US)
Pages (from-to)4073-4084
Number of pages12
JournalJournal of the Acoustical Society of America
Volume140
Issue number6
DOIs
StatePublished - Dec 1 2016

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transition layers
polynomials
inversions
profiles
sediments
Malta
perturbation
gradients
mud
Markov chains
coefficients
plateaus
Inversion
Layer
acoustics
sensitivity
water
Sediment

All Science Journal Classification (ASJC) codes

  • Arts and Humanities (miscellaneous)
  • Acoustics and Ultrasonics

Cite this

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abstract = "This paper develops an inversion method for the seabed transition layer at the water-sediment interface, often found in muddy sediments, which provides density and sound-speed profiles that were previously not resolvable. The resolution improvements are achieved by introducing a parametrization that captures general depth-dependent gradients in geoacoustic parameters with a small number of parameters. In particular, the gradients are represented by a sum of Bernstein basis functions, weighted by unknown coefficients. Compared to previous forms found in the literature, the Bernstein-based parametrization can represent a wider range of depth-dependent geoacoustic profiles using fewer parameters which leads to reduced uncertainty and improved resolution. In addition, the Bernstein basis is the most stable polynomial representation in that small perturbations to the unknown coefficients result in small, localized perturbations to the geoacoustic profile, thereby providing an efficient exploration of the parameter space using Markov-chain methods in nonlinear inversion. Geoacoustic profiles at four mud sites on the Malta Plateau are studied with the proposed approach. Results show exceptional resolution of density profiles, estimated with low uncertainty and clear sensitivity to sediment features of centimeter scale.",
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Geoacoustic inversion for the seabed transition layer using a Bernstein polynomial model. / Quijano, Jorge E.; Dosso, Stan E.; Dettmer, Jan; Holland, Charles.

In: Journal of the Acoustical Society of America, Vol. 140, No. 6, 01.12.2016, p. 4073-4084.

Research output: Contribution to journalArticle

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