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Biot-Gardner theory of extensional waves in porous rods

By
J. E. White
J. E. White
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Published:
January 01, 2000
Publication history
17 June 1985

Abstract

Many measurements have been made on fluid-saturated porous rods executing extensional, flexural, and torsional motion. Measurements for extensional and flexural motion yield a loss parameter for Young’s modulus waves Qy, and the measurement for torsional motion yields Qs for shear waves. Qp has then been calculated for compressional waves in bulk rock, on the assumption that the fluid-saturated rock is an isotropic solid. I point out the fallacy of computing Qp from these measurements and also urge workers to recognize the losses due to simple fluid viscosity i?terpreting their data on extensional waves in rods. By application of published theory, I show that peaks in attenuation of extensional waves are to be expected at frequencies of several hertz to several kilohertz, depending upon rod radius. Computed curves are compared with published measurements on Navajo sandstone saturated with water, ethanol, and n-decane. In each case, computed peak frequency agrees with published measurements. Shift of the peak frequency with temperature from 4°C to 25°C is due to change of viscosity of the saturating fluid (water).

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Society of Exploration Geophysicists Geophysics Reprint Series

Seismic Wave Propagation: Collected Works of J. E. White

J. E. White
J. E. White
Professor Emeritus, Colorado School of Mines
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Society of Exploration Geophysicists
Volume
21
ISBN electronic:
9781560802471
Publication date:
January 01, 2000

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