Journal ArticleDOI
2D and 3D elastic wave propagation by a pseudo-spectral domain decomposition method
TLDR
In this article, a new numerical method is presented for propagating elastic waves in heterogeneous earth media, based on spectral approximations of the wavefield combined with domain decomposition techniques.Abstract:
A new numerical method is presented for propagating elastic waves in heterogeneous earth media, based on spectral approximations of the wavefield combined with domain decomposition techniques. The flexibility of finite element techniques in dealing with irregular geologic structures is preserved, together with the high accuracy of spectral methods. High computational efficiency can be achieved especially in 3D calculations, where the commonly used finite-difference approaches are limited both in the frequency range and in handling strongly irregular geometries. The treatment of the seismic source, introduced via a moment tensor distribution, is thoroughly discussed together with the aspects associated with its numerical implementation. The numerical results of the present method are successfully compared with analytical and numerical solutions, both in 2D and 3D.read more
Citations
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Journal ArticleDOI
Introduction to the spectral element method for three-dimensional seismic wave propagation
Dimitri Komatitsch,Jeroen Tromp +1 more
TL;DR: In this article, the spectral element method is used for the calculation of synthetic seismograms in 3D earth models using a weak formulation of the equations of motion, which are solved on a mesh of hexahedral elements.
Journal ArticleDOI
Spectral-element simulations of global seismic wave propagation—I. Validation
Dimitri Komatitsch,Jeroen Tromp +1 more
TL;DR: In this article, a spectral-element method is used to simulate seismic wave propagation throughout the entire globe, which is based upon a weak formulation of the equations of motion and combines the flexibility of a finite element method with the accuracy of a global pseudospectral method.
Journal ArticleDOI
An unsplit convolutional perfectly matched layer improved at grazing incidence for the seismic wave equation
Dimitri Komatitsch,Roland Martin +1 more
TL;DR: In this article, the authors demonstrate how to improve the perfectly matched layer (PML) absorbing boundary condition at grazing incidence for the differential seismic wave equation based on an unsplit convolution technique.
Journal ArticleDOI
Full seismic waveform tomography for upper-mantle structure in the Australasian region using adjoint methods
TL;DR: In this paper, the authors present a full seismic waveform tomography for upper-mantle structure in the Australasian region, based on spectral-element simulations of seismic wave propagation in 3-D heterogeneous earth models.
Journal ArticleDOI
Simulations of Ground Motion in the Los Angeles Basin Based upon the Spectral-Element Method
TL;DR: In this paper, the spectral-element method was used to simulate ground motion generated by two recent and well-recorded small earthquakes in the Los Angeles basin using a new sedimentary basin model that is constrained by hundreds of petroleum industry well logs and more than 20,000 km of seismic reflection profiles.
References
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Book
The finite element method
TL;DR: In this article, the methodes are numeriques and the fonction de forme reference record created on 2005-11-18, modified on 2016-08-08.
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Quantitative seismology : theory and methods
Keiiti Aki,Paul Richards +1 more
TL;DR: This work has here attempted to give a unified treatment of those methods of seismology that are currently used in interpreting actual data and develops the theory of seismic-wave propagation in realistic Earth models.
Book
Spectral Methods in Fluid Dynamics
M. Y. Hussaini,Thomas A. Zang +1 more
TL;DR: Spectral methods have been widely used in simulation of stability, transition, and turbulence as discussed by the authors, and their applications to both compressible and incompressible flows, to viscous as well as inviscid flows, and also to chemically reacting flows are surveyed.
Journal ArticleDOI
Spectral Methods in Fluid Dynamics.
TL;DR: In this article, the authors present a set of methods for the estimation of two-dimensional fluid flow, including a Fourier Galerkin method and a Chebyshev Collocation method.
Book
Wave Motion in Elastic Solids
TL;DR: In this article, a comprehensive study of elastic wave propagation in solids is presented, ranging from the theory of waves and vibrations in strings to the three-dimensional theory of elastic waves in thick plates.
Related Papers (5)
Introduction to the spectral element method for three-dimensional seismic wave propagation
Dimitri Komatitsch,Jeroen Tromp +1 more
Spectral-element simulations of global seismic wave propagation—I. Validation
Dimitri Komatitsch,Jeroen Tromp +1 more