Effective antiplane properties in the presence of frictional shear cracks

Cracked solids are viewed as equivalent homogenous media that sustain the propagation of coherent shear horizontal waves in the presence of multiple scattering. Strip‐like cracks are filled with viscous fluid and are randomly distributed. Their faces undergo viscous friction. The effective wave numb...

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Veröffentlicht in:Journal of Geophysical Research. B. Solid Earth 2010-02, Vol.115 (B2), p.n/a
Hauptverfasser: Caleap, Mihai, Aristégui, Christophe
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Aristégui, Christophe
description Cracked solids are viewed as equivalent homogenous media that sustain the propagation of coherent shear horizontal waves in the presence of multiple scattering. Strip‐like cracks are filled with viscous fluid and are randomly distributed. Their faces undergo viscous friction. The effective wave number and shear stiffness are calculated for parallel cracks in terms of the far‐field response of a single crack. Attention is focused on the derivation of this single‐scattering property in the general case of oblique incidence. Effect of the crack density and fluid viscosity on the effective properties is investigated. Simple low‐ and high‐frequency analytical approximations allow a direct assessment of the crack density and fluid viscosity from seismic wave measurements. Knowledge of these parameters facilitates more precise estimation of the crack size in the Earth's crust.
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subjects Cracks
Density
effective media
elastic waves
Fluid dynamics
Fluid flow
fluid-filled cracks
Fluids
Geology
Geophysics
Mathematical analysis
Mathematics
Physical properties
Rocks
Seismic waves
Shear
Viscosity
title Effective antiplane properties in the presence of frictional shear cracks
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