The effect of small-scale heterogeneity on the arrival time of waves

Spetzler, Jesper; Snieder, Roel

doi:10.1046/j.1365-246x.2001.01438.x

Cited by 88 publications

(90 citation statements)

References 27 publications

(42 reference statements)

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“…Yoshizawa and Kennett (2004) and Kennett and Yoshizawa (2002) use a similar technique with a narrower kernel that they believe to be more representative of realistic surface waves. Spetzler et al (2001Spetzler et al ( , 2002 discuss the implications of scattering and diffraction for surface wave tomography. Friedrich et al (1993), Friedrich (1999 and Maupin (2001) extend the Born approximation to incorporate multiple scattering.…”

Section: Surface Wave Propagation In Complex Structuresmentioning

confidence: 99%

Development of Surface Wave Dispersion and Attenuation Maps and Improved Methods for Measuring Surface Waves

Stevens¹,

Xu²,

Given³

et al. 2008

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Section: Surface Wave Propagation In Complex Structuresmentioning

confidence: 99%

Development of Surface Wave Dispersion and Attenuation Maps and Improved Methods for Measuring Surface Waves

Stevens¹,

Xu²,

Given³

et al. 2008

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“…The first-order Rytov approximation ͑Aki and Richards, 1980;Woodward, 1992;Snieder and Lomax, 1996;Spetzler and Snieder, 2001͒ is used to derive the 2D finite-frequency wavefield theory for time-lapse traveltime delays. The Rytov approximation only describes contrasts in P-wave velocity ͑or slowness equal to the inverse of velocity͒ but neglects any density contrast and shear-wave effects.…”

Section: Appendix a Derivation Of The Finite-frequency Kernel For A Hmentioning

confidence: 99%

Application of a linear finite-frequency theory to time-lapse crosswell tomography in ultrasonic and numerical experiments

2007

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Time-lapse seismic monitoring is the geophysical discipline whereby multiple data sets recorded at the same location but at different times are used to locate and quantify temporal changes in the elastic parameters of the subsurface. We validate a time-lapse monitoring method by crosswell tomography using two types of wavefield-modeling experiments: ͑1͒ a 3D real ultrasonic waveform experiment and ͑2͒ 2D synthetic finite-difference wavefield simulations. For both wavefield experiments, a time-lapse structure simulating a fluid sweep in a reservoir layer is applied. The timelapse tomographic monitoring approach is based on the standard ray theory and a finite-frequency wavefield theory, where the latter takes into account the finite-frequency properties of recorded wavefields. The inverted time-lapse models compiled with either the ray theory or the finite-frequency wavefield theory locate and correctly quantify the flooding zone in the simulated fluid sweep model. Both wavefield theories provide an adequate result because the flooding zone is comparable in size to the Fresnel volume.

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“…Therefore the method given in Paper 1 is a reasonable method to estimate the statistical parameters of the medium from traveltime fluctuations. For more accurate results, however, the more complicated methods considering the diffraction phenomena should be used (Witte et al, 1996;Tong et al, 1998;Marquering et al, 1999;Nolet and Dahlen, 2000;Spetzler and Snieder, 2001;Baig et al, 2003).…”

Section: Discussionmentioning

confidence: 99%

Estimation of the rocks statistical parameters from traveltime measurements

et al. 2006

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In this paper the method for estimating the statistical parameters of the medium from traveltime measurements of refracted waves is applied to study the statistical characteristics of crystalline rocks at the Multifunctional Station Faido (Gotthard Base Tunnel, Switzerland). The method is based on the geometrical optics (GO) approximation. A covariance function for traveltime fluctuations has been obtained by considering quasihomogeneous fluctuations of sound velocity in a plain-stratified medium. Strongly anisometric (having unequal dimensions in different directions) random inhomogeneities were embedded in this medium. To estimate the statistical parameters around the tunnel, the traveltime fluctuations are calculated. It is assumed that each observation of traveltime-distance relation for a given shot-receiver group corresponds to a particular realization of a medium statistical ensemble. By calculating the variance and the zero cross intervals of the first derivative of traveltime fluctuations, the standard deviation of the velocity fluctuations and the characteristic horizontal scale of the inhomogeneities are estimated. Although the method allows to obtain the characteristic lengths of the inhomogeneities in vertical as well as in horizontal direction, the limited offset of the field data made it only possible to measure the latter. The estimated horizontal characteristic scale is about 13 m, which is reasonably close to the direct geological measurements in the studied region, where quartz lenses are dominant among the inhomogeneities. The standard deviation of the velocity is estimated as 4.5%, which might be caused by the fractured structure around the tunnel and also by the fault zone near the study area. K e y w o r d s : random media, geometrical optics, traveltime fluctuations, refracted waves, Gotthard Base Tunnel Stud. Geophys. Geod., 50 (2006), 325−336 325 © 2006 StudiaGeo s.r.o., Prague A. Kaslilar et al.

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The effect of small-scale heterogeneity on the arrival time of waves

Cited by 88 publications

References 27 publications

Development of Surface Wave Dispersion and Attenuation Maps and Improved Methods for Measuring Surface Waves

Development of Surface Wave Dispersion and Attenuation Maps and Improved Methods for Measuring Surface Waves

Application of a linear finite-frequency theory to time-lapse crosswell tomography in ultrasonic and numerical experiments

Estimation of the rocks statistical parameters from traveltime measurements

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