TY - JOUR

T1 - Inversion method for initial tsunami waveform reconstruction

AU - Voronin, V. V.

AU - Voronina, T. A.

AU - Tcheverda, V. A.

PY - 2015/6/16

Y1 - 2015/6/16

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84935016093&partnerID=8YFLogxK

U2 - 10.5194/nhess-15-1251-2015

DO - 10.5194/nhess-15-1251-2015

M3 - Article

AN - SCOPUS:84935016093

VL - 15

SP - 1251

EP - 1263

JO - Natural Hazards and Earth System Sciences

JF - Natural Hazards and Earth System Sciences

SN - 1561-8633

IS - 6

ER -