... algorithm for solving the inverse scattering formulas is deduced from the equivalent Goupillaud method. By comparing the continuous and discrete formalisms in the continuum limit, a preferred form is found within the class of symmetric tridiagonal discretizations of the Schroedinger equation...

... different ways of introducing the tools of quantum mechanics in high-resolution seismic (Gabor, 1946; Kittel, 1976, Morlet, 1975). And conversely, the Goupillaud-Kunetz algorithm and an extended Gabor expansion may be of some use in solid state physics. GeoRef, Copyright 2005, American Geological...

... that automatically handles the conversion of homogeneous waves into inhomogeneous transient plane waves at layer boundaries. A particularly efficient algorithm is presented, that can be viewed as a natural extension of the popular normal-incidence Goupillaud (1961)-type algorithm to the nonnormal incidence case...

... and no computer algorithm can presumably replace the ultimate arbiter who decides whether the results of an inversion make sense or nonsense: the geophysical interpreter. Perhaps our descendants writing a future third Millennium review article can report that a machine has been solving the inverse problem without...

... (1961) or Waters (1981) algorithms. Each algorithm leads to a recursive formula for computing the reflected and transmitted waves in each progressively deeper layer. Robinson (1983) and Shapiro and Hubral (1999) also propose propagation algorithms based on the Goupillaud model. We use Waters...

... Geophysicists. All rights reserved. 2010 The development of seismic spectral decomposition ( Gridley and Partyka, 1997 ) and the more general field of time-frequency (TF) representations ( Goupillaud et al., 1983 ; Chakraborty and Okaya, 1995 ) has invited scrutiny of seismic reflection events...

.... There are many migration algorithms to perform this depth imaging step. Many of these algorithms and their applications to foothills data have been summarized by Lines et al. (1999) . As mentioned by Parkes and Hatton (1987) , most depth migration algorithms and seismic time measurements are quite accurate...

... Annual International Meeting, SEG, Expanded Abstracts , 408 – 412 , 10.1190/1.3054833 . Goupillaud P. , Grossman A. , and Morlet J. , 1984 , Cycle-octave and related transforms in seismic signal analysis : Geoexploration , 23 , no. 1 , 85 – 102 , 10.1016/0016-7142(84)90025-5...

... match. Likewise, the time-domain forward-modeling method proposed by Waters (1987) is efficient and accurate with little numerical dispersion problems even for long multiple trains. Therefore, the Goupillaud model and the Waters (1987) algorithm are used to generate synthetic seismograms...

... subtle attribute anomalies. Most spectral-balancing algorithms assume the underlying reflectivity to be random, such that balancing removes the spectral contribution of the seismic wavelet, with resulting frequency anomalies more closely associated with tuned reflections that occur at layers exhibiting...

... makes use of the layered earth model and the generalized 1-D synthetic seismogram as developed in the pathfinding works of Goupillaud (1961) and Gutowski and Treitel (1987) . The latter paper gives the first definitive treatment of a horizontally stratified medium for completely arbitrary source...

...Kanwaldip Singh Anant; Farid U. Dowla Abstract We apply the wavelet transform to seismic signals for the purpose of automatically identifying the P and S phase arrivals of seismic events. In this article, an algorithm is presented that locates these arrivals in single-station three-component short...

... J. G. (1996) . A composite source model of the 1994 Northridge earthquake using genetic algorithms , Bull. Seism. Soc. Am. 86 , S71 - S83 . Bulletin of the Seismological Society of America, 89, 2, pp. 484-500, April 1999 A Stochastic Method for Investigating Site...

...Haijiang Zhang; Clifford Thurber; Charlotte Rowe Abstract We have developed an automatic P -wave arrival detection and picking algorithm based on the wavelet transform and Akaike information criteria (AIC) picker. Wavelet coefficients at high resolutions show the fine structure of the time series...

...Adam Gersztenkorn ABSTRACT Interpreting 3D seismic volumes can be an intensive and time-consuming endeavor. Algorithms that provide additional information and expedite this process can therefore be useful tools for the interpreter. To further this goal, an algorithm that gives a topographic...

...., 2018 ). The manual picking of horizons is not only time consuming but also prone to human error. For this reason, various automatic and semiautomatic methods have been developed to rationalize the interpretation process and make it more efficient. The algorithms for interpreting horizons can...

... are efficiently separated using nonlinear thresholding of the CWT avoiding computationally intensive block thresholding algorithms on the wavelet scale‐time plane. Efficiency is gained by estimating the characteristic statistics of pre‐event noise using empirical cumulative distribution functions and then using...

... analysis by previous studies ( Wang and Gao, 2013 ; Wang et al., 2014 , 2015 , 2016 ). In contrast with these manual selections, the parameters of the GBW are estimated by an adaptive optimization algorithm. Theoretically, the product of the time/frequency joint concentration of the MW Ψ 6...

.... Gilbert F. Backus G. (1966) . Propagator matrices in elastic wave and vibration problems , Geophysics 31 , 326 - 332 . Goupillaud P. L...

.... Subsequently, two coherence thresholds and a series of robust weights are implemented to obtain the most reliable MT response estimates. Finally, errors are estimated using a nonparametric jackknife algorithm. We applied this algorithm to AMT data collected in northern Canada. These data were processed...