Journal ArticleDOI
An efficient method for calculating finite-difference seismograms after model alterations
TLDR
A new finite‐difference method is presented that circumvents the need to resimulate the complete model for local changes by requiring only calculations in the subvolume and its neighborhood, which makes possible significant reductions in computational cost and memory requirements.Abstract:
Seismic modeling, processing, and inversion often require the calculation of the seismic response resulting from a suite of closely related seismic models. Even though changes to the model may be restricted to a small subvolume, we need to perform simulations for the full model. We present a new finite‐difference method that circumvents the need to resimulate the complete model for local changes. By requiring only calculations in the subvolume and its neighborhood, our method makes possible significant reductions in computational cost and memory requirements. In general, each source/receiver location requires one full simulation on the complete model. Following these pre‐computations, recalculation of the altered wavefield can be limited to the region around the subvolume and its neighborhood. We apply our method to a 2-D time‐lapse seismic problem, thereby achieving a factor of 15 reduction in computational cost. Potential savings for 3-D are far greater.read more
Citations
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Book ChapterDOI
The finite-difference time-domain method for modeling of seismic wave propagation
TL;DR: In this article, a review of the recent development in finite-difference time-domain modeling of seismic wave propagation and earthquake motion is presented, which is a robust numerical method applicable to structurally complex media.
Journal ArticleDOI
Seismic modelingSeismic modeling
Journal ArticleDOI
The finite-difference and finite-element modeling of seismic wave propagation and earthquake motion
TL;DR: In this paper, the authors provide a detailed introduction to the application of the finite-difference (FD), finite-element (FE), and hybrid FD-FE methods to the modeling of seismic wave propagation and earthquake motion.
Journal ArticleDOI
A review of the spectral, pseudo-spectral, finite-difference and finite-element modelling techniques for geophysical imaging
TL;DR: In this paper, a review of the spectral and finite-difference methods for geophysical interpretation is carried out, focusing on the spectral method, which is very efficient and accurate but generally restricted to simple earth structures and often layered earth structures.
Journal ArticleDOI
Seismic imaging: From classical to adjoint tomography
Qinya Liu,Yu Jeffrey Gu +1 more
TL;DR: In this article, the authors provide an overview of classical tomography methods, key debates pertaining to the resolution of mantle tomographic models, as well as recent theoretical and computational advances in forward-modeling methods that spearheaded the developments in accurate computation of sensitivity kernels and adjoint tomography.
References
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Book
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.
Journal ArticleDOI
Seismic waveform inversion in the frequency domain; Part 1, Theory and verification in a physical scale model
TL;DR: In this article, a frequency-space domain approach to waveform inversion is presented, which is a local descent algorithm that proceeds from a starting model to refine the model in order to reduce the waveform misfit between observed and model data.
Journal ArticleDOI
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.
Journal ArticleDOI
Absorbing boundaries for wave propagation problems
Ronnie Kosloff,Dan Kosloff +1 more
TL;DR: In this paper, a systematic derivation of absorbing boundary conditions which can be used in a wide class of wave equations is presented, including the Schrodinger equation and acoustic equation in one and two dimensions.
Journal ArticleDOI
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.
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Propagation of elastic waves in layered media by finite difference methods
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