Uncertainty estimation in seismo-acoustic reflection travel time inversion.

作者: Jan Dettmer , Stan E. Dosso , Charles W. Holland

DOI: 10.1121/1.2736514

关键词: Statistical hypothesis testingStatisticsStatistical assumptionBayes' theoremOffset (computer science)CovarianceNormal distributionMarginal distributionMathematicsInversion (meteorology)

摘要: This paper develops a nonlinear Bayesian inversion for high-resolution seabed reflection travel time data including rigorous uncertainty estimation and examination of statistical assumptions. Travel are picked on seismo-acoustic traces inverted layered sediment sound-velocity model. Particular attention is paid to picking errors which often biased, correlated, nonstationary. Non-Toeplitz covariance matrices estimated included in the along with unknown offset (bias) parameters account these errors. Simulated experiments show that neglecting error covariances biases can cause misleading results unrealistically high confidence. The samples posterior probability density provides solution terms one- two-dimensional marginal densities, correlations, credibility intervals. Statistical assumptions examined through residuals tests. method applied shallow-water collected Malta Plateau during SCARAB98 experiment.

参考文章(14)
George M. Bryan, The hydrophone–pinger experiment Journal of the Acoustical Society of America. ,vol. 68, pp. 1403- 1408 ,(1980) , 10.1121/1.385107
George M. Bryan, Sonobuoy Measurements in Thin Layers Springer, Boston, MA. pp. 119- 130 ,(1974) , 10.1007/978-1-4684-0838-6_6
Charles W. Holland, Jan Dettmer, Stan E. Dosso, Remote sensing of sediment density and velocity gradients in the transition layer. Journal of the Acoustical Society of America. ,vol. 118, pp. 163- 177 ,(2005) , 10.1121/1.1925988
Stuart Geman, Donald Geman, Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images IEEE Transactions on Pattern Analysis and Machine Intelligence. ,vol. PAMI-6, pp. 721- 741 ,(1984) , 10.1109/TPAMI.1984.4767596
S.E. Dosso, M.J. Wilmut, A.-L.S. Lapinski, An adaptive-hybrid algorithm for geoacoustic inversion IEEE Journal of Oceanic Engineering. ,vol. 26, pp. 324- 336 ,(2001) , 10.1109/48.946507
Charles W. Holland, John Osler, High-resolution geoacoustic inversion in shallow water: a joint time- and frequency-domain technique Journal of the Acoustical Society of America. ,vol. 107, pp. 1263- 1279 ,(2000) , 10.1121/1.428415
Stan E. Dosso, Peter L. Nielsen, Michael J. Wilmut, Data error covariance in matched-field geoacoustic inversion. Journal of the Acoustical Society of America. ,vol. 119, pp. 208- 219 ,(2006) , 10.1121/1.2139625
Stan E. Dosso, Quantifying uncertainty in geoacoustic inversion. I. A fast Gibbs sampler approach. Journal of the Acoustical Society of America. ,vol. 111, pp. 129- 142 ,(2002) , 10.1121/1.1419086
Malcolm Sambridge, Monte Carlo methods in geophysical inverse problems Reviews of Geophysics. ,vol. 40, pp. 3-1- 3-29 ,(2002) , 10.1029/2000RG000089
Christoph F Mecklenbräuker, Peter Gerstoft, OBJECTIVE FUNCTIONS FOR OCEAN ACOUSTIC INVERSION DERIVED BY LIKELIHOOD METHODS Journal of Computational Acoustics. ,vol. 8, pp. 259- 270 ,(2000) , 10.1016/S0218-396X(00)00023-6