TECHNICAL NOTES
Oct 15, 2002

Estimating Dispersion Coefficient and Porosity from Soil-Column Tests

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Publication: Journal of Environmental Engineering
Volume 128, Issue 11

Abstract

A simple method for simultaneous and explicit estimation of dispersion coefficient and porosity from laboratory data on soil-column tests is presented. It makes use of the peak derivative of the observed breakthrough curve (BTC). An objective procedure for approximate location of the peak is suggested based upon a parabolic fit through three consecutive points around the peak. The computations involved are simple and can be done on a calculator. The method does not require either the rate of flow or the cross-sectional area of the soil-column for estimating the dispersion coefficient. This completely avoids the possible errors involved in the measurement of these quantities. The new method does not require the full BTC to be observed, however, its application does require data slightly beyond the time at which the exit concentration reaches half the input concentration. Application of the method on a number of laboratory data sets shows that it can yield a reliable estimate of the dispersion coefficient and porosity using only a few points near the peak. The method is applicable for high values (>100) of the piclet number.

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References

Basak, P., and Murty, V. V. N.(1979). “Determination of hydrodynamic dispersion coefficient using ‘inverf’.” J. Hydrol., 41, 43–48.
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Krikham, D., and Powers, W. L. (1972). Advanced soil physics, Wiley, New York.
Ogata, A. (1958). “Dispersion in porous media.” PhD thesis, Northwestern Univ., Evanston, Ill.
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Singh, S. K. (1998). “Estimation of dispersion coefficient from data on soil column test.” Proc., IX National Symposium on Hydrology (Amritsar), National Institute of Hydrology, Roorkee, India, 336–340.
Singh, S. K.(2001). “Confined aquifer parameters from temporal derivatives of drawdowns.” J. Hydraul. Eng., 127(6), 466–470.
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Go to Journal of Environmental Engineering
Journal of Environmental Engineering
Volume 128Issue 11November 2002
Pages: 1095 - 1099

History

Received: Feb 9, 2000
Accepted: Feb 6, 2002
Published online: Oct 15, 2002
Published in print: Nov 2002

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Authors

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Sushil K. Singh
Scientist, National Institute of Hydrology, G.P.S. Regional Center, Sagar-470 001, M.P., India.

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