Simulation study of joint trans-dimenstional bayesian inversion of scattering and reflection data

Authors

  • Gavin Steininger School of Earth and Ocean Science, University of Victoria, British Columbia, V8P 5C2 Applied Research Laboratory, Canada
  • Jan Dettmer School of Earth and Ocean Science, University of Victoria, British Columbia, V8P 5C2 Applied Research Laboratory, Canada
  • Charles W. Holland School of Earth and Ocean Science, University of Victoria, British Columbia, V8P 5C2 Applied Research Laboratory, Canada
  • Stan E. Dosso School of Earth and Ocean Science, University of Victoria, British Columbia, V8P 5C2 Applied Research Laboratory, Canada

Keywords:

Scattering parameters, Bayesian inversion, Bayesian inversion approach, Geoacoustic parameters, Geoacoustics, Marginal distribution, Parameter distributions, Posterior probability, Reflection data, Roughness spectrum, Simulation studies, Space constraints

Abstract

A joint trans-dimensional (trans-D) Bayesian inversion approach is developed and is applied to synthetic seabed scattering and reflection data to determine the ability of such data to resolve geoacoustic and scattering parameters. Bayesian inversion requires specifying the posterior probability density (PPD), and a method to sample PPD. To adequately approximate the PPD 600,000 models were sampled from it using the rjMCMC algorithm. These are thinned by one third to reduce sample correlation; only these remaining samples are considered here. The one- and two-dimensional marginal distributions of the scattering parameters for the inversion are found. The parameter distributions are found to be centered near the true values, and the uncertainties indicate a useful level of resolution of the roughness spectrum. Geoacoustic parameters are also well resolved, but are not shown here due to space constraints.

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Published

2012-09-01

How to Cite

1.
Steininger G, Dettmer J, Holland CW, Dosso SE. Simulation study of joint trans-dimenstional bayesian inversion of scattering and reflection data. Canadian Acoustics [Internet]. 2012 Sep. 1 [cited 2022 Aug. 8];40(3):82-3. Available from: https://jcaa.caa-aca.ca/index.php/jcaa/article/view/2550

Issue

Vol. 40 No. 3 (2012)

Section

Proceedings of the Acoustics Week in Canada

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