Ambient noise cross correlation in free space: Theoretical approach

Roux, Philippe; Sabra, Karim G.; Kuperman, W. A.; Roux, André

doi:10.1121/1.1830673

Cited by 377 publications

(327 citation statements)

References 10 publications

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“…Afterwards, different theoretical approaches have formalised the link between correlation of random diffuse fields and Green's function retrieval Lobkis and Weaver, 2001;Derode et al, 2003a,b;van Tiggelen, 2003;Wapenaar, 2004;Snieder, 2004;Roux et al, 2005). The crosscorrelation technique has been used successfully in many applications in helioseismology (Duvall et al, 1993;Gilles et al, 1997), acoustics Lobkis and Weaver, 2001;Larose et al, 2004), oceanography (Roux and Kuperman, 2004;Sabra et al, 2005c), active seismic experiments (Bakulin and Calvert, 2006;Mehta et al, 2007) and seismology with the correlation of seismic coda (Campillo and Paul, 2003) or seismic noise (Shapiro and Campillo, 2004).…”

Section: Introductionmentioning

confidence: 99%

Estimation of the effect of nonisotropically distributed energy on the apparent arrival time in correlations

et al. 2010

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Correlations of random seismic noise are now widely used to retrieve the Green's function between two points. Whereas this technique provides useful results in tomography and monitoring studies, it is mainly limited by an uneven distribution of noise sources. In that case, theoretical requirements are not completely fulfilled and we may wonder how reliable the signals are reconstructed, in particular for the purpose of estimating traveltime from correlations. We present in this study a way to quantify effects of a non-isotropic noise 1 field by estimating the arrival time error due to a particular non-isotropic distribution of recorded wave intensity. Our study is based on a theoretical prediction of this bias and we successfully test the theory by comparing the theoretical expectation to real measurements from seismic-prospecting data. In particular, we distinguish between the effects of source distribution and effects of medium heterogeneity between the sources and the region of receivers. We find relative errors in the order of a percent which may affect monitoring results especially where smaller relative velocity variations (smaller than 10 −3 for some applications) are investigated. Finally we see that correlation of coda waves helps mitigate the effects of a non-isotropic field, hence making the estimation of traveltime quite stable irrespective of the source distribution.2

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Section: Introductionmentioning

confidence: 99%

Estimation of the effect of nonisotropically distributed energy on the apparent arrival time in correlations

et al. 2010

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“…Li et al 2009Li et al , 2010aYao et al 2008;Zheng et al 2008). The theoretical work and applications of ANT have been published by Campillo and Paul (2003), Weaver and Lobkis (2004), Weaver (2005), Shapiro and Campillo (2004), Shapiro et al (2005), Roux et al (2005) and Sabra et al (2005). Although this method has been applied in the areas involved in our study area, the results only obtain local linear crustal velocity structures (Cheng et al 2011) or reflect major overall structures (e.g.…”

Section: Introductionmentioning

confidence: 95%

Crustal structure beneath Liaoning province and the Bohai Sea and its adjacent region in China based on ambient noise tomography

2017

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The velocity structure of the crust beneath Liaoning province and the Bohai sea in China was imaged using ambient seismic noise recorded by 73 regional broadband stations. All available three-component time series from the 12-month span between January and December 2013 were cross-correlated to yield empirical Green's functions for Rayleigh and Love waves. Phasevelocity dispersion curves for the Rayleigh waves and the Love waves were measured by applying the frequencytime analysis method. Dispersion measurements of the Rayleigh wave and the Love wave were then utilized to construct 2D phase-velocity maps for the Rayleigh wave at 8-35 s periods and the Love wave at 9-32 s periods, respectively. Both Rayleigh and Love phase-velocity maps show significant lateral variations that are correlated well with known geological features and tectonics units in the study region. Next, phase dispersion curves of the Rayleigh wave and the Love wave extracted from each cell of the 2D Rayleigh wave and Love wave phase-velocity maps, respectively, were inverted simultaneously to determine the 3D shear wave velocity structures. The horizontal shear wave velocity images clearly and intuitively exhibit that the earthquake swarms in the Haicheng region and the Tangshan region are mainly clustered in the transition zone between the low-and high-velocity zones in the upper crust, coinciding with fault zones, and their distribution is very closely associated with these faults. The vertical shear wave velocity image reveals that the lower crust downward to the uppermost mantle is featured by distinctly high velocities, with even a high-velocity thinner layer existing at the bottom of the lower crust near Moho in central and northern the Bohai sea along the Tanlu fault, and these phenomena could be caused by the intrusion of mantle material, indicating the Tanlu fault could be just as the uprising channel of deep materials.

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“…Using correlational forms of the reciprocity theorems, Wapenaar & Fokemma (2006) showed how inter-receiver Green's functions could be constructed by crosscorrelating recorded fields whereas other studies have also revealed the limitations of that method (Snieder 2004;Roux et al 2005;Gouédard et al 2008). For obtaining a diffuse field Halliday & Curtis (2008) analyse the requirements in terms of source distribution for the retrieval of scattered surface waves.…”

Section: Introductionmentioning

confidence: 99%

Statistical properties of the seismic noise field: influence of soil heterogeneities

Pilz¹,

Parolai²

2014

Geophysical Journal International

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S U M M A R YSeismic noise is generally considered as a reproducible and temporarily stationary natural source of energy. We present a study on the statistical features of the soil motion due to the seismic noise wavefield and the dependencies on the near-surface geology. We have investigated the variations of the 3-D average squared soil displacement over different timescales. The results clearly indicate ballistic behaviour for short timescales being indicative for the properties of the shallow material. Differences in the structural heterogeneity of the subsoil produce different scattering properties, changing the character of motion from nearly ballistic to diffusive on frequency-dependent timescales for all materials. Although in a strict sense the seismic noise wavefield is not completely isotropic, an ultimate pre-condition for a diffusive wavefield, the deviations compared to a uniform distribution are rather small. This means that the emergence of the Green's function is effective for all network sites after a sufficient self-averaging process that is provided by the scattering and the random spatial-temporal noise source distribution.

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Ambient noise cross correlation in free space: Theoretical approach

Cited by 377 publications

References 10 publications

Estimation of the effect of nonisotropically distributed energy on the apparent arrival time in correlations

Estimation of the effect of nonisotropically distributed energy on the apparent arrival time in correlations

Crustal structure beneath Liaoning province and the Bohai Sea and its adjacent region in China based on ambient noise tomography

Statistical properties of the seismic noise field: influence of soil heterogeneities

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