Polarization analysis in the wavelet domain based on the adaptive covariance method

Kulesh, M.; Diallo, Mamadou S.; Holschneider, Matthias; Kurennaya, K.; Krüger, Frank; Ohrnberger, Matthias; Scherbaum, Frank

doi:10.1111/j.1365-246x.2007.03417.x

Cited by 59 publications

(27 citation statements)

References 20 publications

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“…The proposed method presents some advantages relative to other methods based on the CWT (Diallo et al 2005;Diallo et al, 2006;Kulesh et al, 2007). The signal can be very accurately recovered from the time-frequency domain to the time domain, while any real mother wavelet can be used.…”

Section: Discussionmentioning

confidence: 90%

“…This is the reason why a time-frequency polarization analysis seems to be a more appropriate alternative in order to separate the different phases in the wavefield. A similar aim guided the studies of Diallo et al (2005Diallo et al ( , 2006 and Kulesh et al (2007Kulesh et al ( , 2008, where the time-frequency polarization analysis is carried out using the Continuous Wavelet Transform (CWT).…”

Section: Introductionmentioning

confidence: 99%

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Seismic wave characterization using complex trace analysis in the stationary wavelet packet domain

Galiana-Merino

Parolai

Rosa-Herranz

2011

Soil Dynamics and Earthquake Engineering

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One of the most important tasks in seismology and applied geophysics is the identification of the different kinds of waves that form a seismic record by means of polarization analysis. In particular, this involves the extraction of body waves (linear polarization) or surface waves (mostly elliptical polarization) from a set of seismic data and which forms a key point in several studies.In this work, a new method of time-frequency polarization analysis based on the stationary wavelet packet transform is developed. The proposed approach identifies and extracts automatically the different waves included in the signal, dependent upon the reciprocal ellipticity. Moreover, the algorithm provides enough information to the user to allow them to also manually select the reciprocal ellipticity intervals, and then extract the corresponding waves of interest contained in the signals.The proposed polarization estimation method and the automatic features extraction algorithm have been evaluated first using synthetic signals, and then applied to real seismic records. Based on the results obtained from both synthetic and real signals, we can conclude that the proposed method correctly identifies and extracts automatically the linearly and ellipticaly polarized waves from the signal, discerning clearly both types of polarization. Moreover, the proposed method is able to identify and extract signals with different kinds of elliptical polarization, allowing us to understand better the characteristics of Rayleigh waves.Index Terms -Polarization analysis, wave identification, seismic signal processing, stationary wavelet packet transform (SWPT).3

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Section: Discussionmentioning

confidence: 90%

Section: Introductionmentioning

confidence: 99%

Seismic wave characterization using complex trace analysis in the stationary wavelet packet domain

Galiana-Merino

Parolai

Rosa-Herranz

2011

Soil Dynamics and Earthquake Engineering

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“…Note that similar angular parameters to orientate the major displacement were also called dip or inclination and strike or azimuth by others authors as [1,4,5], not to be mistaken for the parameters defined in the next paragraph to orientate the polarization plane.…”

Section: Seismic Wave Polarization Parameter Systemmentioning

confidence: 99%

“…Still more quantitative approaches were developed e.g. [1][2][3][4][5]. However, each author used his own parameters and appellations depending on the type of wave to analyse.…”

Section: Introductionmentioning

confidence: 99%

Seismic wavefield polarization – Part II: Definition of a parameter system in three-dimensional (3D) space, example case review using LSBB seismic station data

et al. 2016

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Abstract.A full polarization parameter system in 3D space is presented to characterize the state of polarization of a seismic wavefield and to parametrize any type of elliptical polarized seismic wave including extreme linear and circular polarizations. This parameter system does not require the a-priori knowledge of the orientation of the polarization plane and provides access to all parameters required in most polarization studies. Two groups of angular and vectorial parameters are defined, which can be easily related to one another. The knowledge of particle motion polarization opens the field of applications for 3-component seismic records contributing to improvements in phase identification. An example of a time-frequency visualization of the polarization parameters on a teleseimic earthquake recorded at a seismic station of LSBB is presented.

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“…Analysis of the particle motions of seismic waves is an effective method to identify these waves, and several methods of polarization analysis have been proposed (e.g., Flinn, 1965;Benhama et al, 1988;Moriya et al, 1994;Moriya and Niitsuma, 1996;Greenhalgh et al, 2005;Diallo et al, 2006;Kulesh et al, 2007). Information about polarization can be used for various subsurface measurements; it has been applied to imaging of subsurface structures in geothermal fields (e.g., Soma et al, 1997Soma et al, , 2002Soma et al, , 2007.…”

Section: Introductionmentioning

confidence: 99%

Spectral matrix analysis for detection of polarized wave arrivals and its application to seismic reflection studies using local earthquake data

Moriya

2009

Earth Planet Sp

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Local earthquakes observed at Sendai, Japan, were analyzed to confirm the validity of a method of polarization analysis using the spectral matrix of seismic wave and its application to seismic reflection studies of the crust using local earthquake data. Reflectors (Bright spots) are known below the Nagamachi-Rifu fault, which caused an M 5.0 class event in 1998. Polarization analysis was applied to earthquake data in and around the fault. Use of the Z -parameter, which is defined using the eigenvalues of the spectral matrix and a statistical value representing the confidence level for the detection of the arrival of polarized waves, allowed detection of linearly and elliptically polarized waves in coda waves. The Z -parameter was also used to image the reflectors by using a migration technique that assumes the P × P and S × S reflection waves travel through a multi-layered velocity structure. Distinct reflectors were detected at depths of around 10 km, 14 km, 17 km, 21-26 km, 35 km and 40 km, that is, from deeper than the fault and the Moho. This study demonstrated the feasibility of using the spectral matrix of three-component seismic signal to detect polarized waves and to image reflectors in the earth's crust and upper mantle.

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Polarization analysis in the wavelet domain based on the adaptive covariance method

Cited by 59 publications

References 20 publications

Seismic wave characterization using complex trace analysis in the stationary wavelet packet domain

Seismic wave characterization using complex trace analysis in the stationary wavelet packet domain

Seismic wavefield polarization – Part II: Definition of a parameter system in three-dimensional (3D) space, example case review using LSBB seismic station data

Spectral matrix analysis for detection of polarized wave arrivals and its application to seismic reflection studies using local earthquake data

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