Ultrasonic moduli for fluid-saturated rocks: Mavko-Jizba relations rederived and generalized

Mavko and Jizba propose a quantitative model for squirt dispersion of elastic-wave velocities between seismic and ultrasonic frequencies in granular rocks. Their central results are the expressions for the so-called unrelaxed frame bulk and shear moduli computed under an assumption that the stiff po...

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Main Authors: Gurevich, Boris, Makarynska, D, Pervukhina, M.
Format: Journal Article
Published: Society of Exploration Geophysics 2009
Online Access:http://hdl.handle.net/20.500.11937/38956
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author Gurevich, Boris
Makarynska, D
Pervukhina, M.
author_facet Gurevich, Boris
Makarynska, D
Pervukhina, M.
author_sort Gurevich, Boris
building Curtin Institutional Repository
collection Online Access
description Mavko and Jizba propose a quantitative model for squirt dispersion of elastic-wave velocities between seismic and ultrasonic frequencies in granular rocks. Their central results are the expressions for the so-called unrelaxed frame bulk and shear moduli computed under an assumption that the stiff pores are drained (or dry) but the soft pores are filled with fluid. Mavko-Jizba expressions are limited to liquid-saturated rocks but become inaccurate when the fluid-bulk modulus is small (e.g., for gas-saturated rocks). We have derived new expressions for unrelaxed moduli of fluid-saturated porous rocks using Sayers-Kachanov discontinuity formalism. The derived expressions generalize the established Mavko-Jizba relations to gas-saturated rocks, reduce to Mavko-Jizba results when the pore fluid is liquid, and yield dry moduli when fluid-bulk modulus tends to zero. We tested this by comparing our model and the model of Mavko and Jizba against laboratory measurements on a sample of Westerly granite.
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spelling curtin-20.500.11937-389562017-09-13T15:59:56Z Ultrasonic moduli for fluid-saturated rocks: Mavko-Jizba relations rederived and generalized Gurevich, Boris Makarynska, D Pervukhina, M. Mavko and Jizba propose a quantitative model for squirt dispersion of elastic-wave velocities between seismic and ultrasonic frequencies in granular rocks. Their central results are the expressions for the so-called unrelaxed frame bulk and shear moduli computed under an assumption that the stiff pores are drained (or dry) but the soft pores are filled with fluid. Mavko-Jizba expressions are limited to liquid-saturated rocks but become inaccurate when the fluid-bulk modulus is small (e.g., for gas-saturated rocks). We have derived new expressions for unrelaxed moduli of fluid-saturated porous rocks using Sayers-Kachanov discontinuity formalism. The derived expressions generalize the established Mavko-Jizba relations to gas-saturated rocks, reduce to Mavko-Jizba results when the pore fluid is liquid, and yield dry moduli when fluid-bulk modulus tends to zero. We tested this by comparing our model and the model of Mavko and Jizba against laboratory measurements on a sample of Westerly granite. 2009 Journal Article http://hdl.handle.net/20.500.11937/38956 10.1190/1.3123802 Society of Exploration Geophysics fulltext
spellingShingle Gurevich, Boris
Makarynska, D
Pervukhina, M.
Ultrasonic moduli for fluid-saturated rocks: Mavko-Jizba relations rederived and generalized
title Ultrasonic moduli for fluid-saturated rocks: Mavko-Jizba relations rederived and generalized
title_full Ultrasonic moduli for fluid-saturated rocks: Mavko-Jizba relations rederived and generalized
title_fullStr Ultrasonic moduli for fluid-saturated rocks: Mavko-Jizba relations rederived and generalized
title_full_unstemmed Ultrasonic moduli for fluid-saturated rocks: Mavko-Jizba relations rederived and generalized
title_short Ultrasonic moduli for fluid-saturated rocks: Mavko-Jizba relations rederived and generalized
title_sort ultrasonic moduli for fluid-saturated rocks: mavko-jizba relations rederived and generalized
url http://hdl.handle.net/20.500.11937/38956