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http://dx.doi.org/10.7843/kgs.2020.36.12.7

Estimation of Hydraulic Conductivity of Soils Based on Biot's Theory of Wave Propagation  

Song, Chung R. (Dept. of Civil Engrg., Univ. of Nebraska-Lincoln)
Kim, Jinwon (Samsung Engrg. Ltd.)
Koocheki, Kianoosh (Dept. of Civil Engrg., Univ. of Nebraska-Lincoln)
Publication Information
Journal of the Korean Geotechnical Society / v.36, no.12, 2020 , pp. 7-16 More about this Journal
Abstract
This study presents an acoustic technique to estimate the hydraulic conductivity of soils. Acoustic attenuation and propagation velocity spectra were measured for dry and saturated sandy specimens to confirm that the relationship between Biot's characteristic frequency and its associated hydraulic conductivity exists only for saturated soils. From the experiments presented in this paper, both attenuation-based and propagation-velocity-based techniques resulted in almost identical characteristic frequencies for saturated soils. The propagation velocity based measurements, however, show a a a slightly clearer trend compared to the attenuation based measurements. The results also show that the acoustically estimated hydraulic conductivities of soils agree well with constant head laboratory test results, demonstrating that this acoustic technique can be a useful nondestructive tool to estimate the hydraulic conductivity of sandy or silty soils.
Keywords
AD hydraulic conductivity; Attenuation; Characteristic frequency; Coupled behavior; DC hydraulic conductivity; Theory of mixtures; Wave propagation;
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1 Yamamoto, R. (2003), "Imaging Permeability Structure Within the Highly Permeable Carbonate Earth: Inverse Theory and Experiment", Geophysics, Vol.68, No.4, pp.1189-1201.   DOI
2 Zimmer, M. A., Prasad, M., Mavko, G., and Nur, A. (2007a), "Seismic Velocities of Unconsolidated Sands: Part 1. Pressure Trends from 0.1 to 20 MPa", Geophysics, Vol.72, No.1, pp.E1-E13.   DOI
3 Zimmer, M. A., Prasad, M., Mavko, G., and Nur, A. (2007b), "Seismic Velocities of Unconsolidated Sands: Part 2. Influence of Sorting-and Compaction-induced Porosity Variation", Geophysics, Vol.72, No.2, pp.E15-E25.   DOI
4 Hughes, E. R., Leighton, T. G., Petley, G. W., White, P. R., and Chivers, R. C. (2003), "Estimation of Critical and Viscous Frequencies for Biot Theory in Cancellous Bone", Ultrasonics, Vol.41, No.5, pp.356-368.
5 Johnson, D. L., Koplik, J., and Dashen, R. (1987), "Theory of Dynamic Permeability and Tortuosity in Fluid-saturated Porous Media", J. Fluid Mech, Vol.176, pp.379-402.   DOI
6 Johnston, D. H., Toksoz, M. N., and Timur, A. (1979), "Attenuation of Seismic Waves in Dry and Saturated Rocks: II. Mechanisms", Geophysics, Vol.44, No.4, pp.691-711.   DOI
7 Jones, T. D. (1986), "Pore Fluids and Frequency-dependent Wave Propagation in Rocks", Geophysics, Vol.51, No.10, pp.1939-1953.   DOI
8 Lopatnikov, S. L. and Cheng, A. H.-D. (2004), "Macroscopic Lagrangian Formulation of Poroelasticity with Porosity Dynamics", J. of Mec. and Phys. of Solids, Vol.52, No.12, pp.2801-2839.   DOI
9 Kim, J. (2010), "Estimation of hydraulic conductivity based on HK (Hydro-Kinetic) and EHK (Electro-Hydro-Kinetic) coupled mechanisms", Ph. D. Dissertation, Dept. of Civil Engineering, University of Mississippi, 197p.
10 Lee, K. I., Humphrey, V. F., Kim, B. N., and Yoon, S. W. (2007), "Frequency Dependencies of Phase Velocity and Attenuation Coefficient in a Water-saturated Sandy Sediment from 0.3 to 1.0 MHz", J. Acoust. Soc. Am., Vol.121, No.5, pp.2553-2558.   DOI
11 Lu, Z., Hickey, C. J., and Sabatier, J. M. (2004), "Effects of Compaction on the Acoustic Velocity in Soils", Soil Sci. Soc. Am. J., Vol.68, pp.7-16.   DOI
12 Nolle, A. W., Hoyer, W. A., Mifsud, J. F., Runyan, W. R., and Ward, M. B. (1963), "Acoustic properties of water-filled sand", J. Acoust. Soc. Am., Vol.42, No.4, pp.1394-1408.
13 Prasad, M. and Meissner, R. (1992), "Attenuation Mechanisms in Sands: Laboratory Versus Theoretical (Biot) data", Geophysics, Vol.57, No.5, pp.710-719.   DOI
14 Santamarina, J. C. (in collaboration with Klein, K.A. and Fam. M.A.) (2001). Soils and Waves, John Wiley & Sons, Inc, New York, 488p.
15 Pride, S. R. and Berryman, J. G. (2003), "Linear Dynamics of Double-porosity Dual Permeability Materials. Ι. Governing Equations and Acoustic Attenuation", Phys. Rev. E., Vol.68, No.3, pp.036603-1-036603-10.   DOI
16 Raji, W. and Rietbrock, A. (2013), "Attenuation (1/Q) Estimation in Reflection Seismic Records", J. of Geophysics and Engineering, Vol.10, No.4, https://doi.org/10.1088/1742-2132/10/4/045012   DOI
17 Rosenblad, B., Li, J., Stokoe, II, K.H., Wilder, B., and Menq, F.-Y. (2008), "Deep Shear Wave Velocity Profiling of Poorly Characterized Soils Using the NEES Low-Frequency Vibrator", Geotechnical Earthquake Engineering and Soil Dynamics IV (GEESD IV), Sacramento, CA, May. ASCE, doi/abs/10.1061/40975(318)57
18 Song, C. R., Kim, J. W., and Cheng, A. H.-D (2008), "Estimation of Soil Permeability Using an Acoustic Technique", J. Geotech. and Geoenv. Engr., ASCE, Vol.134, No.12, pp.1829-1832.   DOI
19 Velea, D., Shields, D. F., and Sabatier, J. M. (2000), "Elastic Wave Velocities in Partially Saturated Ottawa Sand: Experimental Results and Modeling", Soil Sci. Soc. Am. J., Vol.64, pp.1226-1234.   DOI
20 Stoll, R. D. (2002), "Velocity Dispersion in Water-saturated Granular Sediment", J. Acoust. Soc. Am., Vol.111, No.2, pp.785-793.   DOI
21 Wei, C. and Muraleetharan, K. K. (2006), "Acoustical Characterization of Fluid-saturated Porous Media with Local Heterogeneities: Theory and Application", Int. J. of Solids and Structures, Vol.43, No.5, pp.982-1008.   DOI
22 Williams, K. L., Jackson, D. R., Thorsos, E. I., Tang, D., and Schock, S. G. (2002), "Comparison of Sound Speed and Attenuation Measured in a Sandy Sediment to Predictions based on the Biot Theory of Porous Media", IEEE J. Ocean. Eng., Vol.27, No.3, pp.413-428.   DOI
23 Biot, M. A. (1962), "General Theory of Acoustic Propagation in Porous Dissipative Media", J. Acoust. Soc. Am., Vol.34, No.9A, pp.1254-1264.   DOI
24 Biot, M. A. (1956a), "Theory of Propagation of Elastic Waves in a Fluid Saturated Porous Rock: I. Low Frequency Range", J. Acoust. Soc. Am., Vol.28, No.2, pp.168-178.   DOI
25 Biot, M. A. (1956b), "Theory of Propagation of Elastic Waves in a Fluid Saturated Porous Rock: II. Higher Frequency Range", J. Acoust. Soc. Am., Vol.28, No.2, pp.179-191.   DOI
26 Buckingham, M. J. (2004), "A Three-parameter Dispersion Relationship for Biot's Fast Compressional Wave in a Marine Sediment", J. Acoust. Soc. Am., Vol.116, No.2, pp.769-776.   DOI
27 Chalermyanont, T. and Arrykul, S. (2005), "Compacted Sand-bentonite Mixtures for Hydraulic Containment Liners", Songklanakarin J. Sci. Technol., Vol.27, No.2, pp.313-323.
28 Diallo, M. S., Prasad, M., and Appel, E. (2003), "Comparison between Experimental Results and Theoretical Predictions for P - Wave Velocity and Attenuation at Ultrasonic Frequency", Wave motion, Vol.37, No.1, pp.1-16.   DOI
29 Dvorkin, J., Nolen-Hoeksema R., and Nur, A. (1994), "The Squirtflow Mechanism: Macroscopic Description", Geophysics, Vol.59, No.3, pp.428-438.   DOI
30 Dvorkin, J., Mavko, G., and Nur, A. (1995), "Squirt Flow in Fully Saturated Rocks", Geophysics, Vol.60, No.1, pp.97-107.   DOI
31 Block, G. I. (2004), "Coupled acoustic and electromagnetic disturbances in a granular material saturated by a fluid electrolyte", Ph.D. dissertation, University of Illinois at Urbana-Champaign, Urbana, Illinois, pp.1-160
32 Emerson, M. and Foray, P. (2006), "Laboratory P-wave Measurements in Dry and Saturated Sand", Acta Geotechnica, Vol.1, No.3, pp.167-177.   DOI
33 Fratta, D. and Santamarina, J. C. (1996), "Wave Propagation in Soils: Multi-mode, Wide-band Testing in a Waveguide Device", Geotech. Testing J., ASTM, Vol.19, No.2, pp.130-140.   DOI
34 Hickey, C. J. and Sabatier, J. M. (1997), "Measurement of Two Types of Dilatational Waves in an Air-filled Unconsolidated Sand", J. Acoust. Soc. Am., Vol.102, No.1, pp.128-136.   DOI
35 Hamdi, F. and Smith, D. T. (1982), "The Influence of Permeability on Compressional Wave Velocity in Marine Sediments", Geophysical Prospecting, Vol.30, No.5, pp.622-640.   DOI
36 Hamilton, E. L. (1972), "Compressional Wave Attenuation in Marine Sediments", Geophysics, Vol.37, No.4, pp.620-646.   DOI
37 Haarten, M. W. (1995), Coupled Electromagnetic and Acoustic Wavefield Modeling in Poro-Elastic Media and its Applications in Geophysical Exploration, Ph. D. Dissertation, MIT, pp.1-325
38 Dvorkin, J. and Nur, A. (1993), "Dynamic Poroelasticity : A Unified Model with the Squirt and the Biot Mechanisms", Geophysics, Vol.58, No.4, pp.524-533.   DOI