Picking First Break in Seismic Traces by Fractal Method

Chang, Xikun; Liu, Y.; Ashida, Yuzuru

doi:10.3997/2352-8265.20140016

Cited by 2 publications

(5 citation statements)

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“…The application of fractal in seismic geophysical prospecting is now in the ascendant, and the fundamental usages have two ways: (1) to calculate window fractal dimension trajectory along seismic wave use sliding window technology, and detect longitudinal seismic singularities according to the singular characteristics of trajectory [3,6] ; (2) to calculate the single integrated fractal dimension of each seismic wave in a local section of seismic profile and detect horizontal seismic singularities according to the singular characteristics of fractal dimension curve of this section. The premise of these applications is that seismic wave has fractal property.…”

Section: Fractal Property Analysis Of Seismic Wavementioning

confidence: 99%

“…9 shows the clustered correlation dimension elements in terms of scale. The correlation dimension clusters of the four scales i=[0, 1,5,6] are tight, while the correlation dimension clusters of the three scales i= [2,3,4] are loose. Calculate the standard deviations of correlation dimension elements on each scale, and the standard deviations of scales i=[0∼6] are [0.0243, 0.0344, 0.0750, 0.1036, 0.1150, 0.0320, 0.0266], respectively.…”

Section: Experimental Validationmentioning

confidence: 99%

“…Employing fractal to detect vertical seismic singularity, i.e. to detect the singular points of seismic wave, has been reported in references [3], [6] and [15].…”

Section: Fig 10 Single Integrated Correlation Dimensionmentioning

confidence: 99%

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A Method of Detecting Seismic Singularities Using Combined Wavelet with Fractal

Cao

Ren

Wang

et al. 2005

Chinese J. Geophys.

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A new method of utilizing combined wavelet with fractal to detect seismic singularities is proposed aiming at improving the detecting precision. Firstly the fractal property of seismic wave is comprehensively investigated based on its power spectrum analysis, and the conclusion is made that seismic wave is of self-affine fractal property only in several higher frequency bands. This not only provides the theoretic foundation for reasonably applying fractal to seismic wave analysis, but also reveals the shortage of employing single integrated fractal dimension to detect seismic singularities. Secondly an algorithm of frequency and time-ordered non-decimated wavelet packet transform is put forward to produce excellent platform for fractal analysis of seismic wave. On the basis of the above two aspects, a wavelet-fractal based method for detecting seismic singularities is developed, which consists of three successive steps: seismic wave is decomposed into multi-scale coefficient sequences, and then fractal-parameter space of seismic profile is constructed depending on the correlation dimension analysis of effective scale coefficient sequences, in the end, singular parameters are identified and they indicate the seismic singularities. An engineering example shows that the proposed method outperforms the existing wavelet and fractal concerned methods in rationality and practicability, so it provides a new approach for parameterized accurate seismic geophysical prospecting.

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Section: Fractal Property Analysis Of Seismic Wavementioning

confidence: 99%

Section: Experimental Validationmentioning

confidence: 99%

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A Method of Detecting Seismic Singularities Using Combined Wavelet with Fractal

Cao

Ren

Wang

et al. 2005

Chinese J. Geophys.

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“…The fractal dimension of a seismic trace that is viewed as a graphic curve can be calculated by changing the degree of the roughness [6] . Based on the change feature of the fractal dimension, the first arrival time of a seismic trace can be distinguished [7,8] . The fractal dimension of a seismic trace is defined in the range from 1 to 2 [7] .…”

Section: Introductionmentioning

confidence: 99%

“…The fractal dimension of a seismic trace is defined in the range from 1 to 2 [7] . The reason that the fractal dimension change of a seismic trace can be used to determine the first arrival time is that fractal dimension is a constant before the arrival time arrives and the fractal dimension begins to change after first arrival [7,8] . In general, it is difficult to keep a constant of the fractal dimension before first arrival time when some certain noise exists in seismic records.…”

Section: Introductionmentioning

confidence: 99%

The Generalized Fractal Dimension of Seismic Records and its Application

Chang¹,

Liu²

2002

Chinese J of Geophysics

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Based on the fractal theory, we analyze the fractal dimension characters of seismic records with different noises. The signal part and noise background part in seismic records have different fractal dimensional ranges that depend on the measuring scales used in the calculation, and the fractal dimensional values are related with the measuring scales. Therefore a new concept of generalized fractal dimension can be used to calculate the fractal dimension of seismic records. The results of numerical calculation indicate that the algorithm of generalized fractal dimension shows a strong resistance to noise. Some effective examples to pick seismic first arrivals and continued signals are given.

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Picking First Break in Seismic Traces by Fractal Method

Cited by 2 publications

References 0 publications

A Method of Detecting Seismic Singularities Using Combined Wavelet with Fractal

A Method of Detecting Seismic Singularities Using Combined Wavelet with Fractal

The Generalized Fractal Dimension of Seismic Records and its Application

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