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Wave Scattering by 2D Smooth Topographical Elastic Deformations Caused by a Point Blast Source

Paulo Santos, Julieta António, António Tadeu1
1 Dep. of Civil Eng., University of Coimbra, Portugal

Computer Modeling in Engineering & Sciences 2000, 1(4), 79-98.


This paper presents the three-dimensional scattering field obtained when 2D smooth topographical deformations are subjected to a dilatational point load placed at some point in the medium. The solution is formulated using boundary elements for a wide range of frequencies and spatially harmonic line loads, which are then used to obtain time series by means of (fast) inverse Fourier transforms into space-time. The topographical surface is modeled with a number of boundary elements, defined according to the excitation frequency of the harmonic source, and in such a way that the free surface can be discretized along a sufficient distance to fully reproduce the responses at the receivers in the time window considered (T = 1/Δf).
Simulation analyses utilizing this idealized model are used to study the alteration of the wave scattering generated by the half-space, when the free surface is changed to simulate a ridge or a valley deformation. The amplitude of the wavefield in the frequency vs axial-wavenumber domain is presented to allow the recognition, identification, and physical interpretation of the variation of the wavefield.


boundary elements, topographic deformations, point blast source, seismic wave amplification

Cite This Article

Santos,, P. (2000). Wave Scattering by 2D Smooth Topographical Elastic Deformations Caused by a Point Blast Source. CMES-Computer Modeling in Engineering & Sciences, 1(4), 79–98.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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