Astronomy and Astrophysics – Astronomy
Scientific paper
Apr 2009
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009geoji.177..222t&link_type=abstract
Geophysical Journal International, Volume 177, Issue 1, pp. 222-234.
Astronomy and Astrophysics
Astronomy
1
Earthquake Ground Motions, Wave Scattering And Diffraction, Wave Propagation
Scientific paper
The scattering problem of plane SH waves by convex circular-arc topography is investigated. The series solution corresponding to this problem is derived via the wavefunction expansion method, combining with the region-matching technique. For the semi-circular case, the proposed formulation can be reduced to a simpler form than that given in the literature and consequently is easier to calculate. Both the steady-state and transient responses for some parameters are evaluated and discussed. Besides, based on the theory of geometric optics, for a concave mirror the focusing of light will take place, implying that analogous phenomenon may arise in the case of present topography. Such a focusing phenomenon will cause localized concentration of high amplitude of wave motion, which may have a great influence on underground structures. Therefore, the focusing effect by convex circular-arc surface is further examined in both the frequency and time domains. Numerical results show that the geometry under consideration is indeed capable of focusing wave energy, which is a significant contributor to the amplification behaviour.
Chang Kao-Hao
Tsaur Deng-How
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