Portal de Periódicos da CAPES

Effect of pore pressure on the velocity of compressional waves in low-porosity rocks

1972; American Geophysical Union; Volume: 77; Issue: 20 Linguagem: Inglês

10.1029/jb077i020p03731

2156-2202

T. Todd, Gene Simmons,

Drilling and Well Engineering

Journal of Geophysical Research (1896-1977)Volume 77, Issue 20 p. 3731-3743 Effect of pore pressure on the velocity of compressional waves in low-porosity rocks Terry Todd, Terry ToddSearch for more papers by this authorGene Simmons, Gene SimmonsSearch for more papers by this author Terry Todd, Terry ToddSearch for more papers by this authorGene Simmons, Gene SimmonsSearch for more papers by this author First published: 10 July 1972 https://doi.org/10.1029/JB077i020p03731Citations: 173AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onEmailFacebookTwitterLinkedInRedditWechat Abstract The velocity Vp of compressional waves has been measured in rock samples of low porosity to confining pressures Pc of 2 kb for a number of different constant pore pressures Pp. An effective pressure defined by Pe = Pc − nPp, n ≤ 1, is found to be the determining factor in the behavior of Vp rather than an effective pressure defined simply by the differential pressure ΔP = Pc − Pp. As pore pressure increases at constant effective pressure, the value of n increases and approaches 1, but as effective pressure increases at constant pore pressure, the value of n decreases. These observations are consistent with Biot's theory of the propagation of elastic waves in a fluid-saturated porous solid. References Banthia, B. S., M. S. King, I. Fatt, Ultrasonic shear wave velocities in rocks subjected to simulated overburden pressure and internal pore pressure, Geophysics, 30, 117, 1965. Biot, M. A., General theory of three-dimensional consolidation, J. Appl. Phys., 12, 155, 1941. Biot, M. A., Theory of elasticity and consolidation of a porous anisotropic solid, J. Appl. Phys., 26, 182, 1955. Biot, M. A., Theory of propagation of elastic waves in a fluid-saturated solid, 1, Low frequency range, J. Acoust. Soc. Amer., 28, 162, 1956a. Biot, M. A., Theory of propagation of elastic waves in a fluid-saturated solid, 2, Higher frequency range, J. Acoust. Soc. Amer., 28, 179, 1956b. Biot, M. A., General solution of the equations of elasticity and consolidation for a porous material, J. Appl. Mech., 23, 91, 1956c. Biot, M. A., Mechanics of deformation and acoustic propagation in porous media, J. Appl. Phys., 33, 1482, 1962a. Biot, M. A., Generalized theory of acoustic propagation in porous media, J. Acoust. Soc. Amer., 34, 1254, 1962b. Biot, M. A., D. G. Willis, The elastic coefficients of the theory of consolidation, J. Appl. Mech., 24, 594, 1957. Birch, F., The velocity of compressional waves in rocks to 10 kilobars, 1, J. Geophys. Res., 65, 1083, 1960. Brandt, H., A study of the speed of sound in porous granular materials, J. Appl. Mech., 22, 479, 1955. Chayes, F., The finer-grained calcalkaline granites of New England, J. Geol., 60, 207, 1952. Dale, T. N., The chief commercial granites of Massachusetts, New Hampshire, and Rhode Island, U.S. Geol. Surv. Bull., 354, 1, 1908. Dale, T. N., The commercial granites of New England, U.S. Geol. Surv. Bull., 738, 1, 1923. Fatt, I., The Biot-Willis elastic coefficients for sandstone, J. Appl. Mech., 26, 296, 1959. Gardner, G. H. F., M. R. J. Wyllie, D. M. Droschak, Hysteresis in the velocity-pressure characteristics of rocks, Geophysics, 30, 111, 1965. Hicks, W. G., J. E. Berry, Application of continuous velocity logs to determination of fluid saturation of reservoir rocks, Geophysics, 21, 739, 1956. King, M. S., Wave velocities in rocks as a function of changes in overburden pressure and pore fluid saturants, Geophysics, 31, 50, 1966. Nur, A., G. Simmons, The effect of saturation on velocity in low porosity rock, Earth Planet. Sci. Lett., 7, 183, 1969a. Nur, A., G. Simmons, The effect of viscosity of a fluid phase on velocity in low porosity rocks, Earth Planet. Sci. Lett., 7, 99, 1969b. Simmons, G., Velocity of shear waves in rocks to 10 kilobars, 1, J. Geophys. Res., 69, 1123, 1964. Simmons, G., W. F. Brace, Comparison of static and dynamic measurements of compressibility of rocks, J. Geophys. Res., 70, 5649, 1965. Wyllie, M. R. J., A. R. Gregory, G. H. F. Gardner, An experimental investigation of factors affecting elastic wave velocities in porous media, Geophysics, 23, 459, 1958. Citing Literature Volume77, Issue2010 July 1972Pages 3731-3743 ReferencesRelatedInformation