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7 - Acoustic Properties of Rocks

Published online by Cambridge University Press:  19 November 2021

Nikolai Bagdassarov
Affiliation:
Goethe-Universität Frankfurt Am Main
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Summary

Acoustic properties of rocks relate alternating stresses of varying frequency and elastic strains. In solids there are longitudinal and transversal waves, whose propagation is described by the wave equation. Longitudinal velocity Vp correlates with density and mean atomic weight of rocks. For rocks with a similar mean atomic weight there is a linear dependence of acoustic impedance Z vs. Vp. As a function of porosity, Vp may be estimated from modified Hashin-Shtrikman bounds. For sands and cemented sandstones the models of Dvorkin and Nur are applicable. Propagation velocities of elastic waves in rocks decrease with increasing temperature and increase with increasing pressure. To describe viscoelastic behavior of rocks, the concept of complex elastic moduli is used. Inner friction in rocks depends on temperature, pressure, porosity and pore saturation. Absorption coefficient and quality factor of rocks are frequency dependent. Rocks possess elastic intrinsic and extrinsic anisotropies. Anisotropy of elastic waves in minerals may be represented using pole diagrams. Focus Box 7.1: Models of sandstones after Dvorkin & Nur. Focus Box 7.2: Christoffel matrix and elastic wave velocities.

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Publisher: Cambridge University Press
Print publication year: 2021

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