Skip to main content

Adjoint Inversion of the Source Parameters of Near-Shore Tsunamigenic Earthquakes

  • Chapter
Tsunamis

Part of the book series: Advances in Natural and Technological Hazards Research ((NTHR,volume 23))

  • 1291 Accesses

Abstract

The adjoint method may be designed to perform the direct optimization of tsunami fault parameters, from tide-gauge data, leading to a substantial enhancement of the signal-to-noise ratio, when compared with the classical technique based on Green's functions of the linear long-wave model. A 4-step inversion procedure, which can be fully automated, consists (i) in the source area delimitation, (ii) adjoint optimization of the initial sea state in the grid space, (iii) non-linear adjustment of the fault model and (iv) final adjoint optimization in the fault parameter space. Results with an idealized bathymetry show that the method works well in the presence of reasonable amounts of error and provides, as a by-product, a resolution matrix that contains information on the inversion error, identifying the combinations of source parameters that are best and worst resolved by the inversion. A detailed analysis of inversion sensitivity and of the fine structure of the inversion error is used to identify problems and limitations of the inversion procedure.

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

  • Bennett, A. F., Inverse Methods in Physical Oceanography, Cambridge Univ. Press, New York, 346 pp., 1992.

    Google Scholar 

  • Fletcher, R., Practical methods of optimization, 2nd ed., 436 pp., John Wiley and Sons, 1987.

    Google Scholar 

  • Gilbert, J. C., and LemarĂ©chal, C., Some numerical experiments with variable-storage quasi-Newton algorithms, Math. Programming, 45, 407–435, 1989.

    Article  Google Scholar 

  • Gjevik, B., Pedersen, G., Dybesland, E., Harbitz, C. B., Miranda, P. M. A., Baptista, M. A., Mendes-Victor, L., Heinrich, P., Roche, R., and Guesmia, M., Modeling tsunamis from earthquake sources near Gorringe Bank southwest of Portugal, J. Geophys. Res., 102,27, 931–27, 949, 1997.

    Google Scholar 

  • Johnson, J. M., Satake, K., Holdahl, S. R., and Sauber, J., The 1964 Prince William Sound earthquake: Joint inversion of tsunami and geodetic data, J. Geophys. Res., 101, 523–532, 1996.

    Article  Google Scholar 

  • Johnson, J. M., Heterogeneous coupling along Alaska-Aleutians as inferred from tsunami, seismic, and geodetic inversions, in Tsunamigenic Earthquakes and their Consequences, edited by R. Dmowska and B. Saltzman, Adv. Geophys., 1-116, 39, 1999.

    Google Scholar 

  • Miranda, J.M., P.M.A. Miranda, M.A. Baptista and L. Mendes Victor, A comparison of the spectral characteristics of observed and simulated tsunamis, Physics and Chemistry of the Earth, 21, 71–74, 1996.

    Article  Google Scholar 

  • Miyabe, N., An investigation of the Sanriku Tsunami based on mareogram data, Bull. Earthquake Res. Ins. Tokyo, Sup. Vol. 1, 112–136, 1934.

    Google Scholar 

  • Okada, Y., Internal deformation due to shear and tensile faults in a half-space, Bull. Seismol. Soc. Am., 82, 1018–1040, 1992.

    Google Scholar 

  • Piatanesi, A., Tinti, S., and Pagnoni, G., Tsunami waveform inversion by numerical finite-elements Green's functions, Natural Hazards and Earth System Science, 1, 187–194, 2001.

    Google Scholar 

  • Pires, C., and Miranda, P.M.A., Tsunami waveform inversion by adjoint methods, J. Geophys. Res., 106,C9, 19773–19796, 2001.

    Article  Google Scholar 

  • Pires, C. and P.M.A. Miranda, Sensitivity of the adjoint method in the inversion of tsunami source parameters, Natural Hazards and Earth System Science, 3, 341–351, 2003.

    Article  Google Scholar 

  • Pires, C., Vautard, R., and Talagrand, O., On extending the limits of variational assimilation in nonlinear chaotic systems, Tellus, 48A, 96–121, 1996.

    Google Scholar 

  • Rabinovich, A.B., P.M.A. Miranda and M. A. Baptista, Analysis of the 1969 and 1975 Tsunamis at the Atlantic Coast of Portugal and Spain, Oceanology, 38, No. 4, 463–469, 1998.

    Google Scholar 

  • Satake, K., Inversion of tsunami waveforms for the estimation of a fault heterogeneity: Method and numerical experiments, J. Phys. Earth, 35, 241–254, 1987.

    Google Scholar 

  • Satake, K., Inversion of tsunami waveforms for the estimation of heterogeneous fault motion of large submarine earthquakes: The 1968 Tokachi-oki and 1983 Japan Sea earthquakes, J. Geophys. Res., 94, 5627–5636, 1989.

    Article  Google Scholar 

  • Talagrand, O., and Courtier, P., Variational assimilation of meteorological observations with the adjoint vorticity equation, I, Theory, Q. J. R. Meteorol. Soc., 113, 1311–1328, 1987.

    Article  Google Scholar 

  • Tinti, S., Piatanesi, A., and Bortolucci, E., The finite-element wave propagator approach and the tsunami inversion problem, Phys. Chem. Earth, 21, 27–32, 1996.

    Article  Google Scholar 

  • Wunsch, C., The Ocean Circulation Inverse Problem, 456 pp., Cambridge Univ. Press, New York, 1996.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer

About this chapter

Cite this chapter

Pires, C., Miranda, P.M.A. (2005). Adjoint Inversion of the Source Parameters of Near-Shore Tsunamigenic Earthquakes. In: Satake, K. (eds) Tsunamis. Advances in Natural and Technological Hazards Research, vol 23. Springer, Dordrecht. https://doi.org/10.1007/1-4020-3331-1_15

Download citation

Publish with us

Policies and ethics