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The finite-element wave propagator approach and the tsunami inversion problem

Tinti, S. ; Piatanesi, A. ; Bortolucci, E.

Physics and chemistry of the earth, 1996, Vol.21 (1), p.27-32

Elsevier B.V

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  • Título:
    The finite-element wave propagator approach and the tsunami inversion problem
  • Autor: Tinti, S. ; Piatanesi, A. ; Bortolucci, E.
  • É parte de: Physics and chemistry of the earth, 1996, Vol.21 (1), p.27-32
  • Descrição: Inversion of tsunami data is of great importance since it provides independent and reliable information on tsunami source processes. Good results on estimation of heterogeneous slip distribution along the causative seismic fault have been recently achieved, both by inversion of tsunami tide-gauge records and run-up data. This work addresses some questions of the general ill-posed problem of inversion of tsunami tide-gauge records, from a new point of view, namely the Wave Propagator (WP) approach. The WP is a time dependent linear operator that describes the physical system completely. It is to be stressed that, while the direct problem is well posed, for its solution is obtained by simply applying the WP to the initial perturbation, on the contrary, the inversion of one or more tide-gauge records to determine the initial perturbation results into an ill-posed problem. For illustrative purposes, we will conduct our discussion by taking into account a simple case, that is, the linear propagation of an initial bulge along a rectangular flat channel. First we will point out some important properties of the Green's functions concerning symmetry and the symmetry rupture owing to the boundary conditions. Subsequently some numerical experiments will be illustrated in order to discuss the main features of the inversion procedure. In particular we will study the dependence of the goodness of the inverted fields on some parameters, namely the sampling interval of the tide-gauge records, the number and the spatial distribution of tide-gauge records and the perturbing noise on the records.
  • Editor: Elsevier B.V
  • Idioma: Inglês
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  • Realização: ABCD-USP USP   Logos de Redes Sociais: Freepik

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