Master Diagnostic Curve for Dispersion Coefficient of Soils
This article has a reply.
VIEW THE REPLYThis article has a reply.
VIEW THE REPLYPublication: Journal of Environmental Engineering
Volume 131, Issue 6
Abstract
A master diagnostic curve (MDC) method is proposed for identifying the dispersion coefficient from observed breakthrough curve in soil–column experiments. The method uses matching of diagnostically plotted points to the MDC. Accurate identification of the dispersion coefficient is possible with a parallel shift of only one axis. Another advantage of the method is that the MDC is an invariant curve and once prepared, can be used for different data sets characterized by high Péclet number. The new method is simple, does not require large computations as in conventional least-squares approach, and yields a quick and accurate estimate of the dispersion coefficient. The new method does not require an initial guess for the dispersion coefficient. It can also yield a value of the dispersion coefficient from a single observed concentration. Although subjectivity is involved in matching, there is a transparent visual realization of the reliability of the estimated dispersion coefficient, and the points with substantial errors. The new method has several advantages over the least-squares approach and is suited for an advanced study on the subject. An estimate of the dispersion coefficient obtained using the new method is as good as obtained using a good optimization method.
Get full access to this article
View all available purchase options and get full access to this article.
References
Basak, P., and Murty, V. V. N. (1979). “Determination of hydrodynamic dispersion coefficient using inverf.” J. Hydrol., 41, 43–48.
Bear, J. (1969). “Hydrodynamic dispersion.” Flow through porous media, R. J. M. DeWiest, ed., Chap. 4, Academic, New York, 109–199.
Fried, J. J., and Combarnous, M. A. (1971). “Dispersion in porous media.” Advances in hydroscience, V. T. Chow, ed., Chap. 7, Academic, New York, 169–182.
Kirkham, 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.
Ogata, A., and Banks, R. B. (1961). “A solution of differential equation of longitudinal dispersion in porous media.” U.S. Geol. Surv. Prof. Pap., 441-A, A1-A9.
Singh, S. K. (1998). “Estimation of dispersion coefficient from data on soil column test.” Proc., 9th National Symp. on Hydrology (Amritsar), National Institute of Hydrology, Roorkee, India, 336–340.
Singh, S. K. (2001). “Identifying effective distance to a recharge boundary.” J. Hydraul. Eng., 127(8), 689–692.
Singh, S. K. (2002). “Estimating dispersion coefficient and porosity from soil–column test.” J. Environ. Eng., 128(11), 1095–1099.
Information & Authors
Information
Published In
Journal of Environmental Engineering
Volume 131 • Issue 6 • June 2005
Pages: 988 - 993
Copyright
© 2005 ASCE.
History
Received: Oct 24, 2002
Accepted: Feb 10, 2004
Published online: Jun 1, 2005
Published in print: Jun 2005
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.