Journal cover Journal topic
Natural Hazards and Earth System Sciences An interactive open-access journal of the European Geosciences Union
Nat. Hazards Earth Syst. Sci., 15, 1251-1263, 2015
https://doi.org/10.5194/nhess-15-1251-2015
© Author(s) 2015. This work is distributed under
the Creative Commons Attribution 3.0 License.
Research article
16 Jun 2015
Inversion method for initial tsunami waveform reconstruction
V. V. Voronin1, T. A. Voronina2, and V. A. Tcheverda3,4 1Novosibirsk State University, Novosibirsk, Russia
2Institute of Computational Mathematics and Mathematical Geophysics of SB RAS, Novosibirsk, Russia
3A.A.Trofimuk Institute of Petroleum Geology and Geophysics SB RAS, Novosibirsk, Russia
4Kazakh-British Technical University, Almaty, Kazakhstan
Abstract. This paper deals with the application of the r-solution method to recover the initial tsunami waveform in a tsunami source area by remote water-level measurements. Wave propagation is considered within the scope of a linear shallow-water theory. An ill-posed inverse problem is regularized by means of least square inversion using a truncated SVD (singular value decomposition) approach. The method presented allows one to control instability of the numerical solution and to obtain an acceptable result in spite of ill-posedness of the problem. It is shown that the accuracy of tsunami source reconstruction strongly depends on the signal-to-noise ratio, the azimuthal coverage of recording stations with respect to the source area and bathymetric features along the wave path. The numerical experiments were carried out with synthetic data and various computational domains including a real bathymetry.

Citation: Voronin, V. V., Voronina, T. A., and Tcheverda, V. A.: Inversion method for initial tsunami waveform reconstruction, Nat. Hazards Earth Syst. Sci., 15, 1251-1263, https://doi.org/10.5194/nhess-15-1251-2015, 2015.
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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.
The developed numerical inversion technique based on the least square inversion and a truncated...
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