Computational Model for Electrical Resistivity of Soil–Rock Mixtures
Publication: Journal of Materials in Civil Engineering
Volume 28, Issue 8
Abstract
This technical note develops a mathematical model to calculate the electrical resistivity of soil–rock mixtures based on macroscope structure of the soil and broken rocks, and further considers that the filling of pores between coarse grains by fine grains may result in a decrease in porosity and an increase in saturation degree. Thus, based on a standard model for the electrical resistivity of unsaturated soil, this study proposes a modified model for the electrical resistivity of unsaturated soil–rock mixtures and validated the accuracy of the model using experimental results. Then a simple and easy method for calculating the electrical resistivity of soil–rock mixtures is provided.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The present study was jointly supported by the National Natural Science Foundation of China (Grant No. 50908234), and the Major State Basic Research Development Program of China (Grant No. 2011CB710604).
References
Archie, G. E. (1942). “The electric resistivity log as an aid in determining some reservoir characteristics.” Trans. Am. Inst. Min. Eng., Metall. Pet. Eng., 146(1), 54–62.
Arulanandan, K., and Muraleetharan, K. K. (1988). “Level ground soil-liquefaction analysis using in situ properties: I.” J. Geotech. Eng., 753–770.
Bryson, L. S. (2005). “Evaluation of geotechnical parameters using electrical resistivity measurements.” Proc., Earthquake Engineering Soil Dynamics, Geotechnical Special Publication 133, Geo-Frontiers, ASCE, Reston, VA, 1–12.
Fukue, M., Minato, T., Horibe, H., and Taya, N. (1999). “The micro-structures of clay given by resistivity measurements.” Eng. Geol., 54(1–2), 43–53.
Fukue, M., Minato, T., Matsumoto, M., Horibe, H., and Taya, N. (2001). “Use of a resistivity cone for detecting contaminated soil layers.” Eng. Geol., 60(1–4), 361–369.
Hashin, Z., and Shtrikman, S. (1962). “A variational approach to the theory of the effective magnetic permeability of multiphase materials.” J. Appl. Phys., 33(10), 3125–3131.
Keller, G. V., and Frischknecht, F. C. (1966). Electrical methods in geophysical prospecting, Pergamon, New York.
Mitchell, J. K. (1993). Fundamentals of soil behavior, Wiley, New York.
Ozcep, F., Tezel, O., and Asci, M. (2009). “Correlation between electrical resistivity and soil-water content: Istanbul and Golcuk.” Int. J. Phys. Sci., 4(6), 362–365.
Wiener, O. H. (1912). “Die theorie des mischkörpers für das feld der stationären strömung. 1. Abhandlung: Die mittelwertsätze für kraft, polarisation und energie [The theory of the mixing body for the field of stationary flow. 1. Treatise: The mean value theorems for power, polarization and energy].” Abh. Math.-Phys. Klasse königlich sächsischen Ges. Wiss., 32(6), 509–604 (in German).
Xu, W. J., and Hu, R. L. (2009). “Conception, classification and significations of soil-rock mixture.” Hydrogeol. Eng. Geol., 36(4), 50–56 (in Chinese).
Yoon, G. L., and Park, J. B. (2001). “Sensitivity of leachate and fine contents on electrical resistivity variations of sandy soils.” J. Hazard. Mater., 84(2), 147–161.
Zhao, M. J., Li, G., Huang, W. D., and Li, J. (2010). “Experiment on electrical resistivity properties of polyphase soil-stone mediums.” J. Chongqing Jiaotong Univ. (Nat. Sci.), 29(6), 928–933 (in Chinese).
Zhou, Z., Wang, H. G., Fu, H. L., and Liu, B. C. (2009). “Influences of rainfall infiltration on stability of accumulation slope by in-situ monitoring test.” J. Central South Univ. Technol., 16(2), 297–302.
Information & Authors
Information
Published In
Journal of Materials in Civil Engineering
Volume 28 • Issue 8 • August 2016
Copyright
© 2016 American Society of Civil Engineers.
History
Received: Apr 7, 2015
Accepted: Dec 1, 2015
Published online: Feb 23, 2016
Discussion open until: Jul 23, 2016
Published in print: Aug 1, 2016
Authors
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.