Determination of elastic anisotropy of rocks from P- and S-wave velocities: numerical modelling and lab measurements

Svítek, T.; Vavryčuk, Václav; Lokajı́ček, T.; Petružálek, M.

doi:10.1093/gji/ggu332

Cited by 33 publications

(22 citation statements)

References 48 publications

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“…Suggestions have included various combinations of preferentially-oriented: anisotropic mineral grains; multiple layers; small scale inhomogeneities, joints, cracks, and microcracks; lattice-preferred orientation; shape-preferred orientation; and others (Svitek et al, 2014;Xie et al, 2015). However, two over-riding observational constraints restrict possible causes.…”

Section: Introductionmentioning

confidence: 99%

A review of retrospective stress-forecasts of earthquakes and eruptions

Crampin

Gao

Bukits

2015

Physics of the Earth and Planetary Interiors

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Section: Introductionmentioning

confidence: 99%

A review of retrospective stress-forecasts of earthquakes and eruptions

Crampin

Gao

Bukits

2015

Physics of the Earth and Planetary Interiors

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“…We can use, for example, a value obtained from the Poisson ratio between the P and S velocities

V_{S} = V_{P} true/ \sqrt{3}

. In higher iterations, the reference medium is the result of the previous iteration [ Svitek et al ., ].…”

Section: Sample Experimental Techniques and Resultsmentioning

confidence: 99%

Seismic anisotropy of serpentinite from Val Malenco, Italy

et al. 2015

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Serpentinites, deformed in mantle subduction zones, are thought to contribute significantly to seismic anisotropy of the upper mantle and have therefore been of great interest with studies on deformation, preferred orientation, and elastic properties. Here we present a combined study of a classical sample from Val Malenco, Italy, investigating the microstructure and texture with state‐of‐the art synchrotron X‐ray and neutron diffraction methods and measuring ultrasonic velocities both with a multi‐anvil apparatus and a novel instrument to measure 3‐D velocities on spheres. Both, results from diffraction methods and velocity measurements are compared, discussing advantages and disadvantages. From spherical velocities, elastic tensor properties can be derived by inversion. Also from quantitative texture measurements, elastic properties can be modeled by self‐consistent averaging. Good agreement between the velocity and microstructural models is observed.

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“…Under this assumption, cubic equation 5 for phase velocity c can be linearized as follows (Pšenčík and Vavryčuk, 2002;Svitek et al, 2014): Under this assumption, cubic equation 5 for phase velocity c can be linearized as follows (Pšenčík and Vavryčuk, 2002;Svitek et al, 2014):…”

Section: Inversion Schemementioning

confidence: 99%

“…An experimental setup suitable for such measurements is described, for example, in Svitek et al (2014). We focus on developing a method for determining parameters of viscoelastic anisotropy from measurements of the velocity and attenuation of waves along a ray.…”

Section: Introductionmentioning

confidence: 99%

Determination of parameters of viscoelastic anisotropy from ray velocity and ray attenuation: Theory and numerical modeling

Vavryčuk

2015

GEOPHYSICS

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We have developed and numerically tested a method for determining parameters of homogeneous viscoelastic anisotropy from measurements of wavefields generated by point sources. The method is based on complex algebra and consists of several steps. First, a complex energy velocity surface is constructed from the directionally dependent velocity and attenuation measured along a set of ray directions. Second, a complex slowness surface is computed using the relation of polar reciprocity between the energy velocity and slowness vectors. The energy velocity vectors are homogeneous, but the corresponding slowness vectors are inhomogeneous. Finally, the complex phase velocity surface is calculated and inverted using the Christoffel equation. The inversion is nonlinear and can be performed in iterations. Numerical tests for the P-wave in transversely isotropic media showed that the method performed well for a wide range of models covering strong as well as weak velocity anisotropy and various levels of attenuation. The method was compared with a simplified approximate inversion when the inhomogeneity of the complex slowness vector is neglected. The neglect of the slowness vector inhomogeneity results in a significantly lower accuracy of the retrieved attenuation parameters. Accuracy with errors less than 10% is achieved only if the attenuation anisotropy is weak. This condition is, however, strongly restrictive because attenuation anisotropy is usually significant being more pronounced than the velocity anisotropy for most of rocks.

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Determination of elastic anisotropy of rocks from P- and S-wave velocities: numerical modelling and lab measurements

Cited by 33 publications

References 48 publications

A review of retrospective stress-forecasts of earthquakes and eruptions

A review of retrospective stress-forecasts of earthquakes and eruptions

Seismic anisotropy of serpentinite from Val Malenco, Italy

Determination of parameters of viscoelastic anisotropy from ray velocity and ray attenuation: Theory and numerical modeling

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