A Relationship between Hydraulic Conductivity and Electrical Properties of Silty Sand on the Riverside of the Nakdong River

doi:10.7857/JSGE.2014.19.3.039

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2014 Vol.19, Issue 3 Preview Page Next Page

A Relationship between Hydraulic Conductivity and Electrical Properties of Silty Sand on the Riverside of the Nakdong River 낙동강변 실트질 모래의 수리전도도와 전기적 물성과의 관계: 김수동;박삼규;함세영;오윤영;
Kim, Soo-Dong;Park, Samgyu;Hamm, Se-Yeong;Oh, Yun-Yeong;

30 June 2014. pp. 39 ~ 46

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Abstract

Hydraulic conductivity is an important parameter, representing permeable property of the groundwater in aquifers, in the issues of groundwater development, groundwater contamination, and groundwater flow, etc. We estimated a relationship between hydraulic conductivity and electrical properties (formation factor, chargeability, and time constant) of silty sand in the laboratory. For this study, we conducted grain size analysis, constant head permeameter test, and measured electrical resistivity and spectral induced polarization of silty sand samples collected from the riverside alluvium of the Nakdong River in Nogok-ri area, Dasan-myeon, Goryeong-gun in Gyeongbook Province, Korea. In the laboratory test, we used soil samples of approximately uniform porosity with 0.5% error range, and kept the electrical resistivity of pore water with 100 ohm-m. As a result, the relationship between effective particle size and hydraulic conductivity agrees fairly well with the existing empirical formulas. Hydraulic conductivity was correlated with formation factor, chargeability, and time constant: hydraulic conductivity increased with increasing formation factor and time constant as well as with decreasing chargeability.

Keywords

Hydraulic conductivity;Formation factor;Spectral induced polarization (SIP);Chargeability;Time constant;

References

Allessandrello, E. and Lemoine, Y., 1983, Determination de la permeabilite des alluvions a partir de la prospection electrique, Bull. Int. Assoc. Eng. Geol., 26(27), 357-360.
Archie, G.E., 1942, The electrical resistivity log as an aid in determining some reservoir characteristics. Trans. AIME, 146, 54-62.10.2118/942054-G
Binley, A., Slater, L., Fukes, M., and Cassiani, G., 2005, Relationship between spectral induced polarization and hydraulic properties of saturated and unsaturated sandstone, Water Resour. Res., 41(12), W12417
Borner, F.D., Schopper, J.R., and Weller, A., 1996, Evaluation of transport and storage properties in the soil and groundwater zone from induced polarization measurements, Geophysical Prospecting, 44, 583-602.10.1111/j.1365-2478.1996.tb00167.x
Cole, K.S. and Cole, R.H., 1941, Dispersion and absorption in dielectrics. I. Alternating current characteristics, J. Chem. Phys., 9, 341-352.10.1063/1.1750906
Dias, C.A., 1972, Analytical model for a polarizable medium at radio and lower frequencies, J. Geophys. Res., 77(26), 4945-4956.10.1029/JB077i026p04945
Dias, C.A., 2000, Developments in a model to describe low-frequency electrical polarization of rocks, Geophysics, 65(2), 437-451.10.1190/1.1444738
Fetter, C.W., 2001, Applied Hydrogeology, 4th edition, Prentice Hall, 598 p.
Frohlich, R.K., Fisher, J.J., and Summerly, E., 1996, Electrichydraulic conductivity correlation in fractured crystalline bedrock: Central Landfill, Rhode Island, USA, J. Appl. Geophys., 35(4), 249-259.10.1016/0926-9851(96)00028-6
Heigold, P.C., Gilkeson, R.H., Cartwright, K., and Reed, P.C., 1979, Aquifer transmissivity from surficial electrical methods, Ground Water, 17(4), 338-345.10.1111/j.1745-6584.1979.tb03326.x
Jougnot, D., Ghorbani, A., Revil, A., Leroy, P, and Cosenza, P., 2010, Spectral induced polarization of partially saturated clayrocks: a mechanistic approach, Geophys. J. Int., 180, 210-224.10.1111/j.1365-246X.2009.04426.x
Kelly, W.E., 1977, Geoelectric sounding for estimating aquifer hydraulic conductivity. Ground Water, 15(6), 420-425.10.1111/j.1745-6584.1977.tb03189.x
Kemna, A., Binley, A., and Slater, L., 2004, Cross-borehole IP imaging for engineering and environmental applications, Geophysics, 69, 97-107.10.1190/1.1649379
Kim, S., Park, S., and Hamm, S.-Y., 2013, Relationship between hydraulic conductivity and electrical resistivity of standard sand and glass bead, Econ. Environ. Geol., 46(3), 215-220.10.9719/EEG.2013.46.3.215
Koch, K., Kemna, A., Irving, J., and Holliger, K., 2011, Impact of changes in grain size and pore space on the hydraulic conduc tivity and spectral induced polarization response of sand, Hydrol. Earth Syst. Sci., 15, 1785-1794.10.5194/hess-15-1785-2011
Kosinski, W.K. and Kelly, W.E., 1981, Geoelectrical soundings for perdicting aquifer properties, Ground Water, 19(2), 163-171.10.1111/j.1745-6584.1981.tb03455.x
Park, S.G., 2004, Physical property factors controlling the electrical resistivity of subsurface, Jigu-Mulli-wa-Mulli-Tamsa., 7(2), 130-135.
Ponzini, G., Ostroman, A., and Molinari, M., 1983, Empirical relation between electrical transverse resistance and hydraulic transmissivity, Geoexploration, 22(1), 1-15.
Revil, A. and Florsch, N., 2010, Determination of permeability from spectral induced polarization in granular media, Geophys. J. Int., 181, 1480-1498.
Reynolds, J.M., 2011, An Introduction to Applied and Environmental Geophysics, 2nd edition, WILEY, 709 p.
Slater, L. and Lesmes, D.P., 2002, Electrical-hydraulic relationships observed for unconsolidated sediments, Water Resour. Res., 38(10), 31-1 - 31-13.
Slater, L., 2007, Near surface electrical characterization of hydraulic conductivity: From petrophysical properties to aquifer geometries-A review, Surv. Geophys., 28, 169-197.10.1007/s10712-007-9022-y
Todd, D.K. and Mays, L.W., 2005, Groundwater hydrology, 3rd edition, John Wiley & Sons Inc., 636 p.
Tong, M., Wang, W., Li, L., Jiang, Y., Shi, D., 2004, Estimation of permeability of shaly sand reservoir from induced polarization relaxation time spectra, J. Petrol. Sci. Eng., 45, 1-10.10.1016/j.petrol.2004.05.007
Urish, D.W., 1981, Electrical resistivity-hydraulic conductivity relationships in glacial outwash aquifers, Water Resour. Res., 17(5), 1401-1408.10.1029/WR017i005p01401

Information

Publisher :The Korean Society of Soil and Groundwater Environment
Publisher(Ko) :한국지하수토양환경학회
Journal Title :Journal of Soil and Groundwater Environment
Journal Title(Ko) :지하수토양환경
Volume : 19
No :3
Pages :39 ~ 46
DOI :https://doi.org/10.7857/JSGE.2014.19.3.039

[1] Allessandrello, E. and Lemoine, Y., 1983, Determination de la permeabilite des alluvions a partir de la prospection electrique, Bull. Int. Assoc. Eng. Geol., 26(27), 357-360.

[2] Archie, G.E., 1942, The electrical resistivity log as an aid in determining some reservoir characteristics. Trans. AIME, 146, 54-62.10.2118/942054-G

[3] Binley, A., Slater, L., Fukes, M., and Cassiani, G., 2005, Relationship between spectral induced polarization and hydraulic properties of saturated and unsaturated sandstone, Water Resour. Res., 41(12), W12417

[4] Borner, F.D., Schopper, J.R., and Weller, A., 1996, Evaluation of transport and storage properties in the soil and groundwater zone from induced polarization measurements, Geophysical Prospecting, 44, 583-602.10.1111/j.1365-2478.1996.tb00167.x

[5] Cole, K.S. and Cole, R.H., 1941, Dispersion and absorption in dielectrics. I. Alternating current characteristics, J. Chem. Phys., 9, 341-352.10.1063/1.1750906

[6] Dias, C.A., 1972, Analytical model for a polarizable medium at radio and lower frequencies, J. Geophys. Res., 77(26), 4945-4956.10.1029/JB077i026p04945

[7] Dias, C.A., 2000, Developments in a model to describe low-frequency electrical polarization of rocks, Geophysics, 65(2), 437-451.10.1190/1.1444738

[8] Fetter, C.W., 2001, Applied Hydrogeology, 4th edition, Prentice Hall, 598 p.

[9] Frohlich, R.K., Fisher, J.J., and Summerly, E., 1996, Electrichydraulic conductivity correlation in fractured crystalline bedrock: Central Landfill, Rhode Island, USA, J. Appl. Geophys., 35(4), 249-259.10.1016/0926-9851(96)00028-6

[10] Heigold, P.C., Gilkeson, R.H., Cartwright, K., and Reed, P.C., 1979, Aquifer transmissivity from surficial electrical methods, Ground Water, 17(4), 338-345.10.1111/j.1745-6584.1979.tb03326.x

[11] Jougnot, D., Ghorbani, A., Revil, A., Leroy, P, and Cosenza, P., 2010, Spectral induced polarization of partially saturated clayrocks: a mechanistic approach, Geophys. J. Int., 180, 210-224.10.1111/j.1365-246X.2009.04426.x

[12] Kelly, W.E., 1977, Geoelectric sounding for estimating aquifer hydraulic conductivity. Ground Water, 15(6), 420-425.10.1111/j.1745-6584.1977.tb03189.x

[13] Kemna, A., Binley, A., and Slater, L., 2004, Cross-borehole IP imaging for engineering and environmental applications, Geophysics, 69, 97-107.10.1190/1.1649379

[14] Kim, S., Park, S., and Hamm, S.-Y., 2013, Relationship between hydraulic conductivity and electrical resistivity of standard sand and glass bead, Econ. Environ. Geol., 46(3), 215-220.10.9719/EEG.2013.46.3.215

[15] Koch, K., Kemna, A., Irving, J., and Holliger, K., 2011, Impact of changes in grain size and pore space on the hydraulic conduc tivity and spectral induced polarization response of sand, Hydrol. Earth Syst. Sci., 15, 1785-1794.10.5194/hess-15-1785-2011

[16] Kosinski, W.K. and Kelly, W.E., 1981, Geoelectrical soundings for perdicting aquifer properties, Ground Water, 19(2), 163-171.10.1111/j.1745-6584.1981.tb03455.x

[17] Park, S.G., 2004, Physical property factors controlling the electrical resistivity of subsurface, Jigu-Mulli-wa-Mulli-Tamsa., 7(2), 130-135.

[18] Ponzini, G., Ostroman, A., and Molinari, M., 1983, Empirical relation between electrical transverse resistance and hydraulic transmissivity, Geoexploration, 22(1), 1-15.

[19] Revil, A. and Florsch, N., 2010, Determination of permeability from spectral induced polarization in granular media, Geophys. J. Int., 181, 1480-1498.

[20] Reynolds, J.M., 2011, An Introduction to Applied and Environmental Geophysics, 2nd edition, WILEY, 709 p.

[21] Slater, L. and Lesmes, D.P., 2002, Electrical-hydraulic relationships observed for unconsolidated sediments, Water Resour. Res., 38(10), 31-1 - 31-13.

[22] Slater, L., 2007, Near surface electrical characterization of hydraulic conductivity: From petrophysical properties to aquifer geometries-A review, Surv. Geophys., 28, 169-197.10.1007/s10712-007-9022-y

[23] Todd, D.K. and Mays, L.W., 2005, Groundwater hydrology, 3rd edition, John Wiley & Sons Inc., 636 p.

[24] Tong, M., Wang, W., Li, L., Jiang, Y., Shi, D., 2004, Estimation of permeability of shaly sand reservoir from induced polarization relaxation time spectra, J. Petrol. Sci. Eng., 45, 1-10.10.1016/j.petrol.2004.05.007

[25] Urish, D.W., 1981, Electrical resistivity-hydraulic conductivity relationships in glacial outwash aquifers, Water Resour. Res., 17(5), 1401-1408.10.1029/WR017i005p01401

Journal of Soil and Groundwater Environment ISSN:1598-6438(Print) 2287-8831(Online) 지하수토양환경

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