SH-wave propagation in heterogeneous media: velocity-stress finite-difference method
TLDR
In this article, a new finite-difference (FD) method is presented for modeling SH-wave propagation in a generally heterogeneous medium, which uses both velocity and stress in a discrete grid.Abstract:
A new finite-difference (FD) method is presented for modeling SH-wave propagation in a generally heterogeneous medium. This method uses both velocity and stress in a discrete grid. Density and shear modulus are similarly discretized, avoiding any spatial smoothing. Therefore, boundaries will be correctly modeled under an implicit formulation. Standard problems (quarter-plane propagation, sedimentary basin propagation) are studied to compare this method with other methods. Finally a more complex example (a salt dome inside a twolayered medium) shows the effect of lateral propagation on seismograms recorded at the surface. A corner wave, always in-phase with the incident wave, and a head wave will appear, which will pose severe problems of interpretation with the usual vertical migration methods.read more
Citations
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Fourth-order finite-difference P-SV seismograms
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Two‐dimensional nonlinear inversion of seismic waveforms: Numerical results
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The effect of topography on earthquake ground motion: a review and new results
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An arbitrary high-order discontinuous Galerkin method for elastic waves on unstructured meshes – II. The three-dimensional isotropic case
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References
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Dynamics of an expanding circular fault
TL;DR: In this paper, a plane circular model of a frictional fault using numerical methods was studied and it was shown that the average corner frequency of S waves v s is related to the final source radius, a, by v s = 0.21 β/α.
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Synthetic seismograms: a finite ‐difference approach
TL;DR: In this paper, the authors propose a finite difference representation of the two-dimensional wave equation for field seismograms, which automatically accounts for the proper relative amplitudes of the various arrivals and includes the contributions of converted waves, Rayleigh waves, diffractions from faulted zones, and head waves.
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Propagation of elastic waves in layered media by finite difference methods
Z. Alterman,F. C. Karal +1 more
TL;DR: In this paper, a finite difference equation formulation for the equations of elasticity is presented and applied to the problem of a layered half-space with a buried point source emitting a compressional pulse.