Relating Damping to Soil Permeability
Publication: International Journal of Geomechanics
Volume 6, Issue 3
Abstract
Published comparisons of complex moduli in dry and saturated soils have shown that viscous behavior is only evident when a sufficiently massive viscous fluid (like water) is present. That is, the loss tangent is frequency dependent for water saturated specimens, but nearly frequency independent for dry samples. While the Kelvin–Voigt (KV) representation of a soil captures the general viscous behavior using a dashpot, it fails to account for the possibly separate motions of the fluid and frame (there is only a single mass element). An alternative representation which separates the two masses, water and frame, is presented here. This Kelvin–Voigt–Maxwell–Biot (KVMB) model draws on elements of the long standing linear viscoelastic models in a way that connects the viscous damping to permeability and inertial mass coupling. A mathematical mapping between the KV and KVMB representations is derived and permits continued use of the KV model, while retaining an understanding of the separate mass motions.
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Acknowledgments
This work is supported by U.S. Army Research Office Grant No. USARODA AH04-96-1-0318. Any opinions, findings, and conclusions expressed in this material are those of the writer, and do not necessarily reflect the views of the U.S. Army.
References
ASTM. (1996a). “Standard test method for one-dimensional consolidation properties of soils.” D2435, West Conshohocken, Pa.
ASTM. (1996b). “Standard test methods for modulus and damping of soils by the resonant-column method,” D4015, West Conshohocken, Pa.
Bear, J. (1972). Dynamics of fluids in porous media, Dover, New York.
Biot, M. (1941). “General theory of three-dimensional consolidation.” J. Appl. Phys., 12(2), 155–164.
Biot, M. (1956a). “Theory of propagation of elastic waves in a fluid-saturated porous solid. I: Low-frequency range.” J. Acoust. Soc. Am., 28(2), 168–178.
Biot, M. (1956b). “Theory of propagation of elastic waves in a fluid-saturated porous solid. II: High-frequency range.” J. Acoust. Soc. Am., 28(2), 179–191.
Biot, M. (1962a). “Generalized theory of acoustic propagation in porous dissipative media.” J. Acoust. Soc. Am., 34(9), 1254–1264.
Biot, M. (1962b). “Mechanics of deformation and acoustic propagation in porous media.” J. Appl. Phys. 33(4), 1482–1498.
Das, B. (1993). Principles of geotechnical engineering, 3rd Ed., PWS Publishing Co., Boston.
Domenico, P., and Schwartz, F. (1990). Physical and chemical hydrogeology, Wiley, New York.
Gassmann, F. (1951). “Über die Elastizität poröser medien.” Vierteljahrsschr. Natforsch. Ges. Zur., 96, 1–23.
Hardin, B. O. (1965). “The nature of damping in sands.” J. Soil Mech. Found. Div., 91(1), 63–97.
Kramer, S. (1996). Geotechnical earthquake engineering, 1st Ed., Prentice-Hall, Upper Saddle River, N.J.
Michaels, P. (1998). “In situ determination of soil stiffness and damping.” J. Geotech. Geoenviron. Eng., 124(8), 709–719.
Roesset, J., Kausel, E., Cuellar, V., Monte, J., and Valerio, J. (1994). “Impact of weight falling onto the ground.” J. Geotech. Eng., 120(8), 1394–1412.
Sadun, L. (2001). Applied linear algebra: The decoupling principle, Prentice-Hall, Upper Saddle River, N. J.
Stoll, R. (1985) “Computer-aided studies of complex soil moduli.” Proc., Measurement and Use of Shear Wave Velocity for Evaluating Dynamic Soil Properties, ASCE, New York, 18–33.
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© 2006 ASCE.
History
Received: Feb 16, 2005
Accepted: Jun 16, 2005
Published online: May 1, 2006
Published in print: May 2006
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