Journal ArticleDOI
Practical aspects of reflectivity modeling
Subhashis Mallick,L. Neil Frazer +1 more
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This paper is intended to help those not familiar with the “lore” of layered earth modeling to avoid some common problems, and an easily incorporated phase‐integral approximation is used away from turning points when the velocity gradient is smaller than the frequency.Abstract:
This paper is intended to help those not familiar with the “lore” of layered earth modeling to avoid some common problems. In the computation of the reflectivity function, an easily incorporated phase‐integral approximation is used away from turning points when the velocity gradient is smaller than the frequency. Hanning windows, or segments thereof, work well for both the slowness integral and the frequency integral. For the quadrature of the slowness integral the Filon method of Frazer is easily coded and vectorizes well; Levin’s Filon method and the Clenshaw‐Curtis‐Filon method of Xu and Mal are more difficult to vectorize, but more powerful because they require fewer evaluations of the reflectivity function. A modification of Strick’s power law is a convenient way to calculate complex frequency‐dependent seismic velocities. The complex frequency technique for avoiding time aliasing is explained by use of the Poisson sum formula. In writing code for vector computers, such as the CRAY, if frequency‐inde...read more
Citations
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Journal ArticleDOI
Efficient waveform inversion and imaging: A strategy for selecting temporal frequencies
Laurent Sirgue,R. Gerhard Pratt +1 more
TL;DR: A new discretization strategy is defined that depends on the maximum effective offset present in the surface seismic survey: the larger the range of offsets, the fewer frequencies are required.
Journal ArticleDOI
Full waveform tomography for lithospheric imaging: results from a blind test in a realistic crustal model
Andrew Brenders,R. G. Pratt +1 more
TL;DR: In this article, a blind validation of 2D, frequency-domain, acoustic wave-equation tomography was undertaken in a 'blind test' using third-party, realistic, elastic waveequation data, which was designed to simulate a section of continental crust 250 km long and 40 km deep.
PatentDOI
Waveform inversion in laplace-fourier domain
TL;DR: In this paper, an apparatus and method for visualizing subsurface velocity structure by processing signals through waveform inversion in the Laplace-Fourier domain, and a recording medium storing a program for implementing the method are presented.
Journal ArticleDOI
The influence of fluid-sensitive dispersion and attenuation on AVO analysis
TL;DR: In this paper, the impact of this variation depends on the amplitude-versus-offset (AVO) behavior at the interface; class I reflections tend to be shifted to higher frequency while class III reflections have their lower frequencies amplified.
Journal ArticleDOI
Model-based inversion of amplitude-variations-with-offset data using a genetic algorithm
TL;DR: In this article, the authors cast the inversion of amplitude-variation-with-offset (AVO) data into the framework of Bayesian statistics and used a genetic algorithm (GA) to estimate the shape of the PPD.
References
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Journal ArticleDOI
The Fourier Integral and its Applications
Journal ArticleDOI
Computation of Synthetic Seismograms with the Reflectivity Method and Comparison with Observations
Karl Fuchs,G. Müller +1 more
TL;DR: In this article, the reflectivity method for the computation of synthetic seismograms is extended to include the elastic transmission losses and time shifts due to a stack of layers on top of the reflecting medium.
Journal ArticleDOI
Velocity dispersion due to anelasticity; implications for seismology and mantle composition
TL;DR: In this paper, the Boltzmann after-effect equation is solved for a linear anelastic solid having a linear relationship between stress and strain and their first time derivatives, the ‘standard linear solid’, and having a distribution of relaxation times.
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