We apply the spectral-element method（SEM）,a high-order finite-element method（FEM） to simulate seismic wave propagation in complex media for exploration and geotechnical problems. The SEM accurately treats geometri...We apply the spectral-element method（SEM）,a high-order finite-element method（FEM） to simulate seismic wave propagation in complex media for exploration and geotechnical problems. The SEM accurately treats geometrical complexities through its flexible FEM mesh and accurately interpolates wavefields through high-order Lagrange polynomials. It has been a numerical solver used extensively in earthquake seismology. We demonstrate the applicability of SEM for selected 2D exploration and geotechnical velocity models with an open-source SEM software package SPECFEM2D. The first scenario involves a marine survey for a salt dome with the presence of major internal discontinuities,and the second example simulates seismic wave propagation for an open-pit mine with complex surface topography. Wavefield snapshots,synthetic seismograms,and peak particle velocity maps are presented to illustrate the promising use of SEM for industrial problems.展开更多
A numerical-analytical solution for seismic and acoustic-gravity waves propagation is applied to a heterogeneous “Earth-Atmosphere” model. Seismic wave propagation in an elastic half-space is described by a system o...A numerical-analytical solution for seismic and acoustic-gravity waves propagation is applied to a heterogeneous “Earth-Atmosphere” model. Seismic wave propagation in an elastic half-space is described by a system of first order dynamic equations of elasticity theory. Propagation of acoustic-gravity waves in the atmosphere is described by the linearized Navier-Stokes equations with the wind. The algorithm proposed is based on the integral Laguerre transform with respect to time, the finite integral Fourier transform along the spatial coordinate with the finite difference solution of the reduced problem.展开更多
基金supported by the Natural Sciences and Engineering Research Council of Canada (NSERC)Center for Excellence in Mining Innovations (CEMI,through SUMIT project)+2 种基金Computations for this study were performed on hardwares purchased through the combined funding of Canada Foundation for Innovation (CFI)Ontario Research Fund (ORF)University of Toronto Startup Fund
文摘We apply the spectral-element method（SEM）,a high-order finite-element method（FEM） to simulate seismic wave propagation in complex media for exploration and geotechnical problems. The SEM accurately treats geometrical complexities through its flexible FEM mesh and accurately interpolates wavefields through high-order Lagrange polynomials. It has been a numerical solver used extensively in earthquake seismology. We demonstrate the applicability of SEM for selected 2D exploration and geotechnical velocity models with an open-source SEM software package SPECFEM2D. The first scenario involves a marine survey for a salt dome with the presence of major internal discontinuities,and the second example simulates seismic wave propagation for an open-pit mine with complex surface topography. Wavefield snapshots,synthetic seismograms,and peak particle velocity maps are presented to illustrate the promising use of SEM for industrial problems.
文摘A numerical-analytical solution for seismic and acoustic-gravity waves propagation is applied to a heterogeneous “Earth-Atmosphere” model. Seismic wave propagation in an elastic half-space is described by a system of first order dynamic equations of elasticity theory. Propagation of acoustic-gravity waves in the atmosphere is described by the linearized Navier-Stokes equations with the wind. The algorithm proposed is based on the integral Laguerre transform with respect to time, the finite integral Fourier transform along the spatial coordinate with the finite difference solution of the reduced problem.
