Articles | Volume 15, issue 6
https://doi.org/10.5194/nhess-15-1251-2015
https://doi.org/10.5194/nhess-15-1251-2015
Research article
 | 
16 Jun 2015
Research article |  | 16 Jun 2015

Inversion method for initial tsunami waveform reconstruction

V. V. Voronin, T. A. Voronina, and V. A. Tcheverda

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Cited articles

Cheverda, V. A. and Kostin, V. I.: r-pseudoinverse for compact operator, Siber. Elect. Math. Rep., 7, 258–282, 2010.
Enquist, B. and Majda, A.: Absorbing boundary conditions for the numerical simulation of waves, Math. Comp., 139, 629–654, 1977.
Kaistrenko, V. M.: Inverse problem for reconstruction of tsunami source, Tsunami Waves, Proc. Sakhalin Compl. Inst., 29, 82–92, 1972.
Lavrentiev, M. M. and Romanenko, A. A.: Tsunami Wave Parameters Calculation before the Wave Approaches Coastal Line Proceedings of the Twenty-fourth (2014) International Ocean and Polar Engineering Conference, 15–20 June 2014, Busan, Korea, 96–102, 2014.
Percival, D. B., Denbo, D. W., Eble, M. C., Gica, E., Mofjeld, H. O., Spillane, M. C., Tang, L., and Titov, V. V.: Extraction of tsunami source coefficients via inversion of DARTr buoy data, Nat. Hazards, 58, 567–590, 2011.
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Short summary
The developed numerical inversion technique based on the least square inversion and a truncated SVD approach were applied to recovering the initial tsunami waveform. The method presented allows one to control the instability of the numerical solution. Analyzing the singular spectra of the matrix obtained during numerical calculations one can estimate the future inversion by a certain observational system that will allow offering more effective disposition for the registrators by precomputations.
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