Open Access

ARTICLE

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. https://doi.org/10.3970/cmes.2000.001.531

Abstract

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.

---

Keywords

---