Skip to main content

Part of the book series: Modern Approaches in Geophysics ((MAGE,volume 12))

Abstract

Topics in propagation and inversion are discussed. The multivalued Bartlett processor is useful for surgically extracting signals from noisy data. The split-step Padé solution and the poro-elastic parabolic equation are forward models that are useful tools for solving inverse problems. The covariance matrix of the gradient of a cost function contains a great deal of useful information about a parameter landscape.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. M.D. Collins, L.T. Fialkowski, W.A. Kuperman, and J.S. Perkins, “The multivalued Bartlett processor and source tracking,” J. Acoust. Soc. Am. (in press).

    Google Scholar 

  2. M.D. Collins, “A split-step Padé solution for the parabolic equation method,” J. Acoust. Soc. Am. 93, 1736–1742 (1993).

    Article  Google Scholar 

  3. M.D. Collins, “Generalization of the split-step Padé solution,” J. Acoust. Soc. Am. 96, 382–385 (1994).

    Article  Google Scholar 

  4. M.D. Collins, “A self-starter for the parabolic equation method,” J. Acoust. Soc. Am. 92, 1357–1368 (1992).

    Article  Google Scholar 

  5. M.D. Collins, W.A. Kuperman, and W.L. Siegmann, “A parabolic equation for poroelastic media,” J. Acoust. Soc. Am. (in press).

    Google Scholar 

  6. M.A. Biot, “Theory of propagation of elastic waves in a fluid-saturated porous solid,” J. Acoust. Soc. Am. 28, 168–191 (1956).

    Article  MathSciNet  Google Scholar 

  7. R.O. Schmidt, “A signal subspace approach to multiple emitter location and spectral estimation,” Ph.D. dissertation, Stanford Univ., Stanford, California (1981).

    Google Scholar 

  8. D.H. Johnson, “The application of spectral estimation methods to bearing estimation problems,” Proc. IEEE 70, 1018–1028 (1982).

    Article  Google Scholar 

  9. M.D. Collins, “Higher-order parabolic approximations for accurate and stable elastic parabolic equations with application to interface wave propagation,” J. Acoust. Soc. Am. 89, 1050–1057 (1991).

    Article  Google Scholar 

  10. R.E. Davis, “Predictability of sea surface temperature and sea level pressure anomalies over the North Pacific Ocean,” J. Phys. Ocean. 6, 249–266 (1976).

    Article  Google Scholar 

  11. A.B. Baggeroer, W.A. Kuperman, and H. Schmidt, “Matched field processing: Source localization in correlated noise as an optimum parameter estimation problem,” J. Acoust. Soc. Am. 83, 571–587 (1988).

    Article  Google Scholar 

  12. J.F. Lynch, S.D. Rajan, and G.V. Frisk, “A comparison of broadband and narrow-band modal inversions for bottom properties at a site near Corpus Christi, Texas,” J. Acoust. Soc. Am. 89, 648–665 (1991).

    Article  Google Scholar 

  13. M.D. Collins, W.A. Kuperman, and H. Schmidt, “Nonlinear inversion for ocean-bottom properties,” J. Acoust. Soc. Am. 92, 2770–2783 (1992).

    Article  Google Scholar 

  14. N. Metropolis, A.W. Rosenbluth, M.N. Rosenbluth, A.H. Teller, and E. Teller, “Equations of state calculations by fast computing machines,” J. Chem. Phys. 21, 1087–1091 (1953).

    Article  Google Scholar 

  15. S. Kirkpatrick, C.D. Gellatt, and M.P. Vecchi, “Optimization by simulated annealing,” Science 220, 671–680 (1983).

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1995 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Collins, M.D., Kuperman, W.A., Siegmann, W.L. (1995). Propagation and Inversion in Complex Ocean Environments. In: Diachok, O., Caiti, A., Gerstoft, P., Schmidt, H. (eds) Full Field Inversion Methods in Ocean and Seismo-Acoustics. Modern Approaches in Geophysics, vol 12. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8476-0_3

Download citation

  • DOI: https://doi.org/10.1007/978-94-015-8476-0_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4545-4

  • Online ISBN: 978-94-015-8476-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics