Sequential Bayesian geoacoustic inversion for mobile and compact source-receiver configuration.

Geoacoustic characterization of wide areas through inversion requires easily deployable configurations including free-drifting platforms, underwater gliders and autonomous vehicles, typically performing repeated transmissions during their course. In this paper, the inverse problem is formulated as sequential Bayesian filtering to take advantage of repeated transmission measurements. Nonlinear Kalman filters implement a random-walk model for geometry and environment and an acoustic propagation code in the measurement model. Data from MREA/BP07 sea trials are tested consisting of multitone and frequency-modulated signals (bands: 0.25-0.8 and 0.8-1.6 kHz) received on a shallow vertical array of four hydrophones 5-m spaced drifting over 0.7-1.6 km range. Space- and time-coherent processing are applied to the respective signal types. Kalman filter outputs are compared to a sequence of global optimizations performed independently on each received signal. For both signal types, the sequential approach is more accurate but also more efficient. Due to frequency diversity, the processing of modulated signals produces a more stable tracking. Although an extended Kalman filter provides comparable estimates of the tracked parameters, the ensemble Kalman filter is necessary to properly assess uncertainty. In spite of mild range dependence and simplified bottom model, all tracked geoacoustic parameters are consistent with high-resolution seismic profiling, core logging P-wave velocity, and previous inversion results with fixed geometries.

[1]  Henrik Schmidt,et al.  Nonlinear inversion for ocean‐bottom properties , 1992 .

[2]  O. Carriere,et al.  Dynamic Estimation of the Sound-Speed Profile from Broadband Acoustic Measurements , 2007, OCEANS 2007 - Europe.

[3]  R. E. Kalman,et al.  A New Approach to Linear Filtering and Prediction Problems , 2002 .

[4]  Peter Gerstoft,et al.  Inversion of seismoacoustic data using genetic algorithms and a posteriori probability distributions , 1994 .

[5]  J.-C. Le Gac,et al.  Subseafloor geoacoustic characterization in the kilohertz regime with a broadband source and a 4-element receiver array , 2008, OCEANS 2008.

[6]  Peter Gerstoft,et al.  Tracking of geoacoustic parameters using Kalman and particle filters. , 2009, The Journal of the Acoustical Society of America.

[7]  Yann Stephan,et al.  Geoacoustic inversion of broad-band acoustic data in shallow water on a single hydrophone , 2003 .

[8]  Jean-Pierre Hermand,et al.  Acoustic model-based matched filter processing for fading time-dispersive ocean channels: theory and experiment , 1993 .

[9]  G. Evensen Sequential data assimilation with a nonlinear quasi‐geostrophic model using Monte Carlo methods to forecast error statistics , 1994 .

[10]  Robert I. Odom,et al.  Adapting results in filtering theory to inverse theory, to address the statistics of nonlinear geoacoustic inverse problems , 2006 .

[11]  S. Dosso,et al.  Quantifying uncertainty in geoacoustic inversion. II. Application to broadband, shallow-water data. , 2002, The Journal of the Acoustical Society of America.

[12]  Martin Siderius,et al.  Yellow Shark Spring 1995: Inversion results from sparse broadband acoustic measurements over a highly range-dependent soft clay layer , 1999 .

[13]  N. Chapman,et al.  Tomographic inversion of geoacoustic properties in a range-dependent shallow-water environment. , 1998, The Journal of the Acoustical Society of America.

[14]  Jean-Pierre Hermand,et al.  Broad-band geoacoustic inversion in shallow water from waveguide impulse response measurements on a single hydrophone: theory and experimental results , 1999 .

[15]  N. Chapman,et al.  Benchmarking geoacoustic inversion methods for range-dependent waveguides , 2003 .

[16]  Sergio M. Jesus,et al.  Acoustic Sensing Techniques for the Shallow Water Environment , 2006 .

[17]  M Siderius,et al.  An evaluation of the accuracy of shallow water matched field inversion results. , 2001, The Journal of the Acoustical Society of America.

[18]  Rainer Storn,et al.  Differential Evolution – A Simple and Efficient Heuristic for global Optimization over Continuous Spaces , 1997, J. Glob. Optim..

[19]  Jean-Pierre Hermand,et al.  Remote sensing of Tyrrhenian shallow waters using the adjoint of a full-field acoustic propagation model , 2009 .

[20]  A. Jazwinski Stochastic Processes and Filtering Theory , 1970 .

[21]  J.V. Candy,et al.  Inversion for Time-Evolving Sound-Speed Field in a Shallow Ocean by Ensemble Kalman Filtering , 2009, IEEE Journal of Oceanic Engineering.

[22]  Peter Gerstoft,et al.  Inversion of broad-band multitone acoustic data from the YELLOW SHARK summer experiments , 1996 .

[23]  G. Evensen Data Assimilation: The Ensemble Kalman Filter , 2006 .

[24]  Geir Evensen,et al.  The Ensemble Kalman Filter: theoretical formulation and practical implementation , 2003 .

[25]  P. Gerstoft,et al.  Ocean acoustic inversion with estimation of a posteriori probability distributions , 1998 .

[26]  R. Mehra Approaches to adaptive filtering , 1972 .

[27]  Woojae Seong,et al.  Range-dependent geoacoustic inversion of vertical line array data using matched beam processing. , 2009, The Journal of the Acoustical Society of America.

[28]  Peter Gerstoft,et al.  An Overview of Sequential Bayesian Filtering in Ocean Acoustics , 2011, IEEE Journal of Oceanic Engineering.

[29]  N. R. Chapman,et al.  Workshop '97: Benchmarking for Geoacoustic Inversion in Shallow Water , 1998 .

[30]  Evan K. Westwood,et al.  A normal mode model for acousto‐elastic ocean environments , 1996 .

[31]  A. Amiri-Simkooei,et al.  Predicting Spatial Variability of Sediment Properties From Hydrographic Data for Geoacoustic Inversion , 2010, IEEE Journal of Oceanic Engineering.

[32]  Peter Gerstoft,et al.  Geoacoustic and source tracking using particle filtering: experimental results. , 2010, The Journal of the Acoustical Society of America.

[33]  Henrik Schmidt,et al.  Ocean acoustic tomography as a data assimilation problem , 2002 .

[34]  Miller,et al.  Tomographic inversion for sediment parameters in shallow water , 2000, The Journal of the Acoustical Society of America.