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Journal of the Acoustical Society of America / Volume 122 / Issue 3 / AEROACOUSTICS, ATMOSPHERIC SOUND [28]

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

J. Acoust. Soc. Am. Volume 122, Issue 3, pp. 1416-1425 (2007); (10 pages)

Sergey N. Vecherin1, Vladimir E. Ostashev2, A. Ziemann3, D. Keith Wilson4, K. Arnold5, and M. Barth6

1Department of Physics, New Mexico State University, Las Cruces, New Mexico 88003
2NOAA/Earth System Research Laboratory, Boulder, Colorado 80305 and Department of Physics, New Mexico State University, Las Cruces, New Mexico 88003
3University of Leipzig, Institute for Meteorology, Stephanstrasse 3, 04103 Leipzig, Germany
4U.S. Army Engineer Research and Development Center, Hanover, New Hampshire 03755
5University of Leipzig, Dezernat 2, Goethestr. 6, 04109 Leipzig, Germany
6University of Leipzig, Institute for Meteorology, Stephanstr. 3, 04103 Leipzig, Germany

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Acoustic travel-time tomography allows one to reconstruct temperature and wind velocity fields in the atmosphere. In a recently published paper [ S. Vecherin et al., 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.

© 2007 Acoustical Society of America

ACKNOWLEDGMENTS

This material is partly based upon work that was supported by the U.S. Army Research Office under Contract Nos. DAAD19-03-1-0104 and W911NF-06-1-0007. The STINHO project was performed as a part of the VERTICO (VERTIcal transports of energy and trace gases at anchor stations under COmplex natural conditions) network which was funded by the German Federal Ministry of Education and Research (BmBF) in the framework of the AFO-2000 research program (Grant No. 07ATF37).

Article Outline

  1. INTRODUCTION
  2. STARTING EQUATIONS
  3. LOCALLY FROZEN TURBULENCE
  4. ESTIMATION OF THE ERRORS
  5. ACOUSTIC TOMOGRAPHY EXPERIMENT
  6. CONCLUSIONS

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KEYWORDS and PACS

Keywords

acoustic tomography, atmospheric acoustics, atmospheric turbulence, stochastic processes, inverse problems

PACS

  • 43.28.We

    Measurement methods and instrumentation for remote sensing and for inverse problems

  • 43.28.Vd

    Measurement methods and instrumentation to determine or evaluate atmospheric parameters, winds, turbulence, temperatures, and pollutants in air

  • 43.20.Dk

    Ray acoustics

ARTICLE DATA

History
Received 16 Nov 2006
Accepted 18 Jun 2007
Revised 14 Jun 2007
Digital Object Identifier
http://dx.doi.org/10.1121/1.2756798

PUBLICATION DATA

ISSN

0001-4966 (print)  

Publisher

$abstract.society.value is a Member of CrossRef Acoustical Society of America

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