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http://dx.doi.org/10.7843/kgs.2008.24.8.5

Laboratory Evaluation of Soil Permeability for Sand Using Biot's Acoustic Wave Propagation Theory  

Kim, Jin-Won (Dept. of Civil Engrg., Univ. of Mississippi)
Song, Chung-Rak (Dept. of Civil Engrg., Univ. of Mississippi)
Publication Information
Journal of the Korean Geotechnical Society / v.24, no.8, 2008 , pp. 5-12 More about this Journal
Abstract
Biot proposed the frequency dependent formulation for the propagation of elastic waves in saturated media based on the coupled theory mixtures. Based on Biot theory, a special frequency called 'the characteristic frequency' contains unique information of the permeability of soils. The characteristic frequency is measured from I/Q (inverse quality factor) versus frequency curve by an acoustic sweep test, and the permeability of soils is computed from Biot equation. In this paper, laboratory tests are performed at The University of Mississippi using a large test box. The measured characteristic frequency is consistently obtained at 3500 Hz for mortar sands. The computed permeability of mortar sands based on Biot equation turned out 2.01 $10^{-4}m/sec$, while the permeability from the laboratory constant head test turned out 1.49 $10^{-4}m/sec$. This paper addresses the theoretical background and experimental procedure of this technique.
Keywords
Acoustics; AC permeability; Biot theory; Coupled theory mixtures; Permeability;
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1 Batzle, M., Hofmann, R., Han, D.H., and Castagna, J. P. (2001), "Fluids and frequency dependent seismic velocity of rocks", The Leading Edge, 2, 168-171
2 Biot, M. A. (1955) b, "Theory of elasticity and consolidation for a porous anisotropic solid", J. of Appl. Phys. Vol.26, pp.182-185   DOI
3 Biot, M. A. (1956b), "Theory of propagation of elastic waves in a fluid saturated porous rock: II. Higher frequency range", J. Acoust. Soc. Am., 28, 179-191   DOI
4 Hickey, C. (2007), "Personal communication."
5 Kim, D. S., and Lee, J. S. (2000), "Propagation and attenuation characteristics of various ground vibration", Soil Dynamics and Earthquake Eng., 19, 115-126   DOI   ScienceOn
6 Prevost, J. H. (1980), "Mechanics of continuous porous media", International Journal of Engineering Science, 18, 787-800   DOI   ScienceOn
7 Torstensson, B. A., and Petsonk, A. K. (1986), "A device for in-situ measurement of hydraulic conductivity", Proceedings of the 4th International Seminar Field Instrumentation and In-situ Measurements, Nanyang Technological Institute, Singapore
8 Voyiadjis, G. Z., and Song, C. R. (2003), "Determination of hydraulic conductivity using piezocone penetration test", Int. J. of Geomechanic., ASCE, 3, 217-224   DOI
9 Voyiadjis, G.Z. and Song, C.R. (2005a), "A Coupled Micro-Mechanical Based Model for Saturated Soils", Mechanics Research Communications, 32(5), 490-503   DOI   ScienceOn
10 Kelder, O., and Smeulders, D. M. J. (1997), "Observation of the Biot slow wave in water saturated Nivelsteiner sandstone", Geophysics, 62 (6), 1794-1796   DOI   ScienceOn
11 Voyiadjis, G. Z., and Abu-Farahkh, M.Y. (1996), "Coupled theory of mixtures for clayey soils", Invited lecture presented at the 11th ASME Symposium on Theoretical and Experimental Methods for Particulate Materials, ASME, Mechanics and Materials Conference, John Hopkins University, Baltimore, Maryland
12 Plona, T. J. (1980), "Observation of a second bulk compressional wave in a porous medium at ultrasonic frequencies", Appl. Phys. Lett. Vol.36, No.4, pp.259-261   DOI
13 Santamarina, J. C. (2001), "Soils and Waves", John Wiley & Sons, Inc, New York, 487 p
14 Voyiadjis, G. Z., and Song, C. R. (2000), "Finite strain anisotropic modified cam clay model with plastic spin. I: Theory", J. of EM Div., ASCE, 126 (10), 1012-1019   DOI   ScienceOn
15 Biot, M. A. (1956a), "Theory of propagation of elastic waves in a fluid saturated porous rock: I. Low frequency range", J. Acoust. Soc. Am., 28, 168-178   DOI
16 Biot, M. A. (1955) a, "General theory of acousticp in porous dissipative media", J. Acoust. Soc. Am., 34 (9), 1254-1264   DOI
17 Voyiadjis, G. Z., and Song, C. R. (2006), "The coupled theory of mixtures in geo-mechanics with applications", springer, New York, 438p
18 Yamamoto R. (2003), "Imaging permeability structure within the highly permeable carbonate earth: Inversetheory and experiment", Geophysics, 68 (4), 1189-1201   DOI   ScienceOn
19 Hickey, C.J., and Sabatier, J.M. (1997), "Measurements of the two types of dilatational waves in an air-filled unconsolidated Sand", J. Acoust. Soc. Am., 102, 128-136   DOI   ScienceOn
20 Song, C.R. and Voyiadjis, G.Z. (2006), "Analytical Observation of Micro-Mechanical Interactions in Plasticity of Saturated Soils", International Journal of Plasticity, under final review
21 Song, C.R. and Voyiadjis, G.Z. (2005b), "Pore Pressure Response around a Penetrating Object", Computers and Geotechnics, 32, 37-46   DOI   ScienceOn