TECHNICAL PAPERS
Nov 13, 2009

Airborne Acoustic Method to Determine the Volumetric Water Content of Unsaturated Sands

Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 135, Issue 12

Abstract

This paper presents an innovative experimental approach for simultaneous measurements of the suction head, volumetric water content, and the acoustic admittance of unsaturated sands. Samples of unsaturated sands are tested under controlled laboratory conditions. Several types of uniform sand with a wide range of particle sizes are investigated. The reported experiments are based on a standard Buchner funnel setup and a standard acoustic impedance tube. It is a novel, nondestructive, and noninvasive technique that relates the key geotechnical parameters of sands such as volumetric water content, density, and grain-size distribution to the acoustic admittance and attenuation. The results show a very sensitive dependence of the acoustic admittance on the volumetric water content controlled by the value of suction head applied. Analysis of the obtained data demonstrates that the relationship between the volumetric water content and the real part of the surface admittance in the frequency range of 400–1,200 Hz can be represented using a logarithmic equation. It is found that the coefficients in the proposed equation are directly related to the uniformity coefficient and the acoustic admittance of the dry sample, which can easily be measured or predicted for a broad range of sands. A validation exercise is conducted to examine the accuracy of the proposed equation using a sand sample with markedly different properties. The results of the validation exercise demonstrate that the proposed relations can be used to determine very accurately the volumetric water content within the porous specimen from the acoustical data. The error in the acoustically measured volumetric water content is found to be ±2.0% over the full range of volumetric water contents ( 0θn , where n is the sample porosity).

Get full access to this article

View all available purchase options and get full access to this article.

References

American National Standards Institute. (2004). “Template method for ground impedance.” American National Standards Institute S1. 18-1999, Wash.
Attenborough, K. (1985). “Acoustical impedance models for outdoor ground surfaces.” J. Sound Vib., 99(4), 521–544.
Bear, J. (1972). Dynamics of fluids in porous media, Dover, New York.
Bear, J. (1979). Hydraulics of groundwater, McGraw-Hill, New York.
British Standards Institute. (1999). “Code of practice for site investigations.” British Standard 5930, London.
British Standards Institute. (2001). “Acoustics—Determination of sound absorption coefficient and impedance in impedance tubes—Transfer function method.” British standard 10534-2, London.
Brooks, R. H., and Corey, A. T. (1964). “Hydraulic properties of porous media.” Hydrology paper no. 3, Colorado State University, Fort Collins, Colo.
Cramond, A. J., and Don, C. G. (1987). “Effects of moisture-content on soil impedance.” J. Acoust. Soc. Am., 82(1), 293–301.
DiCarlo, D. A., Bauters, T. W. J., Steenhuis, T. S., Parlange, J. Y., and Bierck, B. R. (1997). “High-speed measurements of three-phase flow using synchrotron x rays.” Water Resour. Res., 33(4), 569–576.
Dickinson, P. J., and Doak, P. E. (1970). “Measurement of normal acoustic impedance of ground surfaces.” J. Sound Vib., 13(3), 309–322.
Eckberg, D. K., and Sunada, D. K. (1984). “Nonsteady three-phase immiscible fluid distribution in porous media.” Water Resour. Res., 20(12), 1891–1897.
Embleton, T. F. W., Piercy, J. E., and Daigle, G. A. (1983). “Effective flow resistivity of ground surfaces determined by acoustical measurements.” J. Acoust. Soc. Am., 74(4), 1239–1244.
Fenwick, D. H., and Blunt, J. M. (1998). “Three-dimensional modeling of three phase imbibitions and drainage.” Adv. Water Resour., 21(2), 121–143.
Gallipolli, D., Gens, A., Sharma, R., and Vaunat, J. (2003). “An elasto-plastic model for unsaturated soil incorporating the effects of suction and degree of saturation on mechanical behavior.” Geotechnique, 53(1), 123–141.
Horoshenkov, K. V., and Mohamed, M. H. A. (2006). “The experimental investigation of the effects of water saturation on the acoustic admittance of sandy soils.” J. Acoust. Soc. Am., 120(4), 1910–1921.
Horoshenkov, K. V., and Swift, M. (2001). “The acoustic properties of granular materials with pore size distribution close to log-normal.” J. Acoust. Soc. Am., 110(5), 2371–2378.
Johnson, D. L. (2001). “Theory of frequency dependent acoustics in patchy-saturated porous media.” J. Acoust. Soc. Am., 110(2), 682–694.
Lambe, T. W., and Whitman, R. V. (1969). Soil mechanics, Wiley, New York.
Leclaire, P., Swift, M., and Horoshenkov, K. V. (1998). “Specific area from water-suction porosimetry in application to porous acoustic materials.” J. Appl. Phys., 84(12), 6886–6890.
Lenhard, R. J., Johnson, T. G., and Parker, J. C. (1993). “Experimental observation of non-aqueous-phase liquid subsurface movement.” J. Contam. Hydrol., 12, 79–101.
Leverett, M. C., and Lewis, W. B. (1941). “Steady flow of gas-oil-water mixtures through unconsolidated sands.” Trans. Soc. Pet. Eng. AIME, 142, 107–116.
Lowe, C. A., and Greenaway, M. W. (2005). “Compaction processes in granular beds composed of different particle sizes.” J. Appl. Phys., 98(12), 123519.
Marten, M. J. M., van dr Heijden, A. M., Walthaus, H. J., and van Rens, W. J. J. M.(1985). “Classification of soils based on acoustic-impedance, air-flow resistivity, and other physical soil parameters.” J. Acoust. Soc. Am., 78(3), 970–980.
Mohamed, M. H. A. (2003). “Migration of light non-aqueous phase liquids in unsaturated and saturated sand.” D.Phil. thesis, Univ. of Bradford, U.K.
Mohamed, M. H. A., and Sharma, R. S. (2007). “Role of dynamic flow in the hydraulic relations of 2-phase systems.” J. Geotech. Geoenviron. Eng., 133(3), 286–294.
Nagy, P. B., and Nayfeh, A. H. (1995). “Generalized formula for the surface stiffness of fluid-saturated porous-media containing parallel pore channels.” Appl. Phys. Lett., 67(13), 1827–1829.
Parker, J. C., and Lenhard, R. J. (1987). “A model for hysteretic constitutive relations governing multiphase flow. 1: Saturation-pressure relations.” Water Resour. Res., 23(12), 2187–2196.
Rhoades, J. D., Raats, A. C., and Prather, R. J. (1976). “Effects of liquid-phase electrical conductivity, water content, and surface conductivity on bulk soil electrical conductivity.” Soil Sci. Soc. Am. J., 40, 651–655.
Sharma, R. S., and Mohamed, M. H. A. (2003). “An experimental investigation of LNAPL migration in an unsaturated/saturated sand.” Eng. Geol. (Amsterdam), 70(3–4), 305–313.
Shields, F. D., Sabatier, J. M., and Wang, M. (2000). “The effect of moisture on compressional and shear wave speeds in unconsolidated granular material.” J. Acoust. Soc. Am., 108(5), 1998–2004.
Sills, G. C., Wheeler, S. J., Thomas, S. D., and Gardner, T. N. (1991). “Behaviour of offshore soils containing gas bubbles.” Geotechnique, 41(2), 227–241.
Tidwell, V. C., and Glass, R. J. (1994). “X-ray and visible light transmission for laboratory measurements of two-dimensional saturation fields in thin-slab systems.” Water Resour. Res., 30, 2873–2882.
Topp, G. C., and Davis, J. L. (1985). “Time-domain reflectometry (TDR) and its application to irrigation scheduling.” Advances in Irrigation, 3, 107–127.
Topp, G. C., Davis, J. L., and Annan, A. P. (1980). “Electromagnetic determination of soil water content.” Water Resour. Res., 16(3), 574–582.
Tuck, D. M., Bierck, B. R., and Jaffe, P. R. (1998). “Synchrotron radiation measurement of multiphase fluid saturation in porous media: Experimental technique and error analysis.” J. Contam. Hydrol., 31, 231–256.
Voronina, N. N., and Horoshenkov, K. V. (2004). “Acoustic properties of unconsolidated granular mixes.” Appl. Acoust., 65(7), 673–691.
Wheeler, S. J., Sharma, R. S., and Buisson, M. S. R. (2003). “Coupling of hydraulic hysteresis and stress-strain behavior in unsaturated soils.” Geotechnique, 53(1), 41–54.
Zhiqu, L., Hickey, C. J., and Sabatier, J. M. (2004). “Effects of compaction on the acoustic velocity in soils.” Soil Sci. Soc. Am. J., 68, 7–16.
Zuckerwar, A. J. (1983). “Acoustic ground impedance meter.” J. Acoust. Soc. Am., 73, 2180–2186.
Zwikker, C., and Kosten, C. W. (1949). Sound absorbing materials, Elsevier, London.

Information & Authors

Information

Published In

Go to Journal of Geotechnical and Geoenvironmental Engineering
Journal of Geotechnical and Geoenvironmental Engineering
Volume 135Issue 12December 2009
Pages: 1872 - 1882

History

Received: Dec 6, 2007
Accepted: Jun 6, 2009
Published online: Nov 13, 2009
Published in print: Dec 2009

Permissions

Request permissions for this article.

Authors

Affiliations

M. H. A. Mohamed [email protected]
Lecturer in Geotechnical Engineering, School of Engineering, Design and Technology, Univ. of Bradford, Bradford, West Yorkshire BD7 1DP, U.K. (corresponding author). E-mail: [email protected]
K. V. Horoshenkov
Professor of Acoustics, School of Engineering, Design and Technology, Univ. of Bradford, Bradford, West Yorkshire BD7 1DP, U.K.

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share