Inversion method for initial tsunami waveform reconstruction
This paper deals with the application of the <i>r</i>-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 reg...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Copernicus Publications
2015-06-01
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| Series: | Natural Hazards and Earth System Sciences |
| Online Access: | http://www.nat-hazards-earth-syst-sci.net/15/1251/2015/nhess-15-1251-2015.pdf |
| Summary: | This paper deals with the application of the <i>r</i>-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. |
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| ISSN: | 1561-8633 1684-9981 |