Journal ArticleDOI
Wave propagation near a fluid-solid interface : A spectral-element approach
TLDR
In this article, a spectral element method for modeling wave propagation in media with both fluid (acoustic) and solid (elastic) regions, as for instance in offshore seismic experiments, is introduced.Abstract:
We introduce a spectral-element method for modeling wave propagation in media with both fluid (acoustic) and solid (elastic) regions, as for instance in offshore seismic experiments. The problem is formulated in terms of displacement in elastic regions and a velocity potential in acoustic regions. Matching between domains is implemented based upon an interface integral in the framework of an explicit prediction-multicorrection staggered time scheme. The formulation results in a mass matrix that is diagonal by construction. The scheme exhibits high accuracy for a 2-D test case with known analytical solution. The method is robust in the case of strong topography at the fluid-solid interface and is a good alternative to classical techniques, such as finite differencing.read more
Citations
More filters
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.
Book
Full Seismic Waveform Modelling and Inversion
TL;DR: In this article, the authors proposed a numerical solution of the Elastic Wave Equation and computing sensitivity kernel for full waveform tomography for upper-mantle structure in Australasian Region.
Journal ArticleDOI
A high-order discontinuous Galerkin method for wave propagation through coupled elastic-acoustic media
TL;DR: A high-order discontinuous Galerkin (dG) scheme for the numerical solution of three-dimensional wave propagation problems in coupled elastic-acoustic media is introduced, and consistency and stability of the proposed dG scheme are proved.
Journal ArticleDOI
Simulation of anisotropic wave propagation based upon a spectral element method
TL;DR: In this paper, a numerical approach for modeling elastic wave propagation in 2-D and 3-D fully anisotropic media based upon a spectral element method is introduced. But this approach is not suitable for the case of 3D transversely isotropic medium with a symmetry axis tilted relative to the axes of the grid.
References
More filters
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.
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
The spectral element method: An efficient tool to simulate the seismic response of 2D and 3D geological structures
TL;DR: The spectral element method as discussed by the authors is a high-order variational method for the spatial approximation of elastic-wave equations, which can be used to simulate elastic wave propagation in realistic geological structures involving complieated free surface topography and material interfaces for two- and three-dimensional geometries.