An Improved Equivalent Homogenous Half‐Space Method and Reverse Fitting Analysis of Rayleigh Wave Dispersion Curves

Chen, Xiang; Sun, Jinzhong; Yuan, Jiabei

doi:10.1002/cjg2.859

Cited by 7 publications

(3 citation statements)

References 11 publications

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“…Error of the half-wavelength method has been proved to be great from practical case studies [11], which indicate that the correction factor β of penetration depth is related to Poisson's ratio of medium [11][12]. Based on the propagation characteristic of surface wave and the relationship between seismic energy and media properties, Yang [13] and Chen et al [11] determined the correction factors β of different media (Figure 1). For media existing in nature, Poisson's ratio is from 0.1 to 0.48, and the correction factor β is from 0.53 to 0.875.…”

Section: Spectrum Information Of Rayleigh Waves In F-k Domainmentioning

confidence: 99%

Rayleigh Wave Depth-Frequency Analysis

Hu¹,

Yan²

2016

dteees

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Abstract. Rayleigh wave survey is an important technique to solve the near-surface geological problems. In this paper, we developed a new method of Rayleigh wave depth-frequency analysis, which is based on 2D Fourier Transform theory. We establish the equation of Rayleigh wave depth-frequency analysis to demonstrate the relationship among frequency, wave number, phase velocity, wavelength, and penetration depth. It is more convenient to obtain a relevant depth-frequency spectrum by converting f-k spectrum into the depth-frequency (H-f) spectrum with this relationship. We can arrive at better results by extracting the frequency and depth information from H-f spectrum. We used the new method to test an actual dataset. The results show that the method has the ability to extract the near-surface geological information with high accuracy and strong capabilities of de-noising.

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Section: Spectrum Information Of Rayleigh Waves In F-k Domainmentioning

confidence: 99%

Rayleigh Wave Depth-Frequency Analysis

Hu¹,

Yan²

2016

dteees

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“…Rayleigh wave exploration is typically divided into two types, namely the transient method and the steady state method. Because the operational efficiency of the transient method is much higher than that of steady state method, transient Rayleigh wave exploration is widely used in engineering practice [Liu et al, 1996;Wang et al, 2000;Zhang et al, 2001;Chen et al, 2006;Pan et al, 2011Pan et al, , 2015Cui et al, 2012].…”

Section: Introductionmentioning

confidence: 99%

Research and Application of Rayleigh Wave 3-D Phase Velocity Imaging Based on Wavelet Transform

Min¹,

Xinghua²,

Zhang³

2021

Annals of Geophysics

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Rayleigh wave detection is a recently developed method for shallow seismic exploration. Current Rayleigh wave data processing and interpretation methods can only provide the transverse average wave velocity of rock-soil bodies under the geophone array range, resulting in a low lateral resolution of wave velocity. To solve this problem, this paper presents a Rayleigh wave data processing method based on wavelet transform. First, the Hankel matrix is constructed from the intercepted Rayleigh wave, and the effective singular value is preserved by singular value decomposition to filter the Rayleigh wave. Then, the appropriate center frequency is selected and the corresponding relationship between the time and frequency of the Rayleigh wave is obtained via wavelet transform. The waveform of each frequency component can be extracted and the complete time difference of each frequency component between two geophones will be obtained and used to calculate the phase velocity-depth profile of the Rayleigh wave in a rock-soil body. This method is applied to examine unfavorable geological bodies that are underground in a yard. By combining the phase velocity-depth profiles of several survey lines, the 3-D image of phase velocity of Rayleigh wave underground can be obtained. This method can provide the phase velocity distribution of the formation below the survey line by only one measurement, which greatly improves upon the work efficiency and lateral resolution of the traditional Rayleigh wave data processing method.

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“…Another synthetic X-component shot gather(Figure 5a) of the Model 4 is simulated using the same method and the same forward-simulation parameters. We simulated the records with 51 receivers evenly spaced 2 m in line on the surface and the nearest offset of 40 m. As shown inFigure 4band 5b, the two shot gathers are transformed into the f-v domain by high-resolutionLRT.According to the relationship between penetration depths of Rayleigh waves and wavelengths(Chen & Sun 2006), the surface waves of Model 3 and Model 4 can't penetrate into the depth of 100 m so the dispersion characteristics of pure surface waves should be similar to that inFigure 4a. The surface waves in Figure 4a are not disturbed by the reflections from the deep reflectors.…”

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confidence: 99%

Surface-Wave Extraction Based on Morphological Diversity of Seismic Events

Qiu¹,

Wang²,

Lu³

et al. 2018

Preprint

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Extraction of high-resolution surface waves is essential in surface-wave survey. Because reflections usually interfere with surface waves on X-component in a multicomponent seismic exploration, it is difficult to extract dispersion curves of surface waves. The situation goes more serious when the frequencies and velocities of higher-mode surface waves are close to those of PS-waves. A method for surface-wave extraction is proposed based on the morphological differences between reflections and surface waves. Frequency-domain high-resolution linear Radon transform (LRT) and time-domain high-resolution hyperbolic Radon transform (HRT) are used to represent surface waves and reflections respectively. Then, the sparse representation problem based on the morphological component analysis (MCA) is built and optimally solved to obtain high-fidelity surface waves. An advantage of our method is its ability to extract surface waves when their frequencies and velocities are close to those of reflections. Furthermore, results of synthetic and field examples confirm that the proposed method can attenuate the distortion of surface-wave dispersive energy caused by reflections, which contributes to extracting accurate dispersion curves.

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An Improved Equivalent Homogenous Half‐Space Method and Reverse Fitting Analysis of Rayleigh Wave Dispersion Curves

Cited by 7 publications

References 11 publications

Rayleigh Wave Depth-Frequency Analysis

Rayleigh Wave Depth-Frequency Analysis

Research and Application of Rayleigh Wave 3-D Phase Velocity Imaging Based on Wavelet Transform

Surface-Wave Extraction Based on Morphological Diversity of Seismic Events

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