Tomographic reconstruction of atmospheric turbulence with the use of time-dependent stochastic inversion

Acoustic travel-time tomography allows one to reconstruct temperature and wind velocity fields in the atmosphere. In a recently published paper [ S. Vecherin , J. Acoust. Soc. Am. 119 , 2579 ( 2006 ) ], a time-dependent stochastic inversion (TDSI) was developed for the reconstruction of these fields...

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Bibliographic Details
Published in:The Journal of the Acoustical Society of America 2007-09, Vol.122 (3), p.1416-1425
Main Authors: Vecherin, Sergey N., Ostashev, Vladimir E., Ziemann, A., Wilson, D. Keith, Arnold, K., Barth, M.
Format: Article
Language:English
Subjects:
Acoustics
Aeroacoustics, atmospheric sound
Algorithms
Analysis of Variance
Atmosphere
Exact sciences and technology
Freezing
Fundamental areas of phenomenology (including applications)
Image Processing, Computer-Assisted
Models, Theoretical
Physics
Stochastic Processes
Weather
Wind
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Summary:Acoustic travel-time tomography allows one to reconstruct temperature and wind velocity fields in the atmosphere. In a recently published paper [ S. Vecherin , J. Acoust. Soc. Am. 119 , 2579 ( 2006 ) ], a time-dependent stochastic inversion (TDSI) was developed for the reconstruction of these fields from travel times of sound propagation between sources and receivers in a tomography array. TDSI accounts for the correlation of temperature and wind velocity fluctuations both in space and time and therefore yields more accurate reconstruction of these fields in comparison with algebraic techniques and regular stochastic inversion. To use TDSI, one needs to estimate spatial-temporal covariance functions of temperature and wind velocity fluctuations. In this paper, these spatial-temporal covariance functions are derived for locally frozen turbulence which is a more general concept than a widely used hypothesis of frozen turbulence. The developed theory is applied to reconstruction of temperature and wind velocity fields in the acoustic tomography experiment carried out by University of Leipzig, Germany. The reconstructed temperature and velocity fields are presented and errors in reconstruction of these fields are studied.
ISSN:0001-4966
1520-8524
DOI:10.1121/1.2756798