Aquifer Diffusivity and Stream Resistance from Varying Stream Stage
Publication: Journal of Irrigation and Drainage Engineering
Volume 128, Issue 1
Abstract
An efficient method that uses discrete ramp kernel is proposed for obtaining the piezometric head in an aquifer due to an arbitrary variation in stream stage considering stream resistance. The method assumes straight line variation between two consecutive points in representing the arbitrary stream stage variation. Expression for the ramp kernel is derived for homogeneous and isotropic aquifer conditions. Using the method, the stream resistance and hydraulic diffusivity of the aquifer are estimated for a set of published data. It is observed that the hydraulic diffusivity should be estimated along with the stream resistance for a better estimation of aquifer diffusivity.
Get full access to this article
View all available purchase options and get full access to this article.
References
Carslaw, H. S., and Jaeger, J. C. (1959). Conduction of heat in solids, Oxford, London.
Cooper, H. H., and Rorabaugh, M. I. (1963). “Ground-water movement and bank storage due to flood stages in surface stream.” U.S. Geological Survey Water-Supply Paper 1536-J, U.S. Dept. of Interior, Washington, D.C.
Ferris, J. G. (1952). “Cyclic fluctuations of water level as a basis for determining aquifer transmissibility.” U.S.G.S. Ground Water Note 1.
Halek, V., and Svec, J. (1979). Groundwater Hydraulics, Elsevier Science, Amsterdam.
Hantush, M. S.(1965). “Wells near streams with semipervious beds.” J. Geophys. Res., 70(12), 2829–2838.
Hornberger, G. H., Elbert, J., and Remson, I.(1970). “Numerical solution of Boussinesq equation for aquifer-stream interaction.” Water Resour. Res., 6(2), 601–608.
Marquardt, D. W.(1963). “An algorithm for least square estimation of nonlinear parameters.” J. Soc. Ind. Appl. Math., 11(2), 431–441.
Mishra, G. C., and Jain, S. K.(1999). “Estimation of hydraulic diffusivity in stream-aquifer system.” J. Irrig. Drain Eng., 125(2), 74–81.
Morel-Seytoux, H. J.(1988). “Soil-aquifer-stream interactions—a reductionist attempt toward physical stochastic integration.” J. Hydrol., 102, 355–379.
Ojha, C. S. P.(2000). “Explicit aquifer diffusivity estimation using linearly varying stream stage.” J. Hydrologic Eng., 5(2), 218–221.
Pinder, G. F., Bredehoeft, J. D., and Cooper, H. H.(1969). “Determination of aquifer diffusivity from aquifer response to fluctuations in river stage.” Water Resour. Res., 5(4), 850–855.
Reynolds, R. J.(1987). “Diffusivity of a glacial-outwash aquifer by the flood wave-response technique.” Ground Water, 25(3), 290–299.
Singh, S. K. (1995). “Parameter determination in a semi-pervious stream-aquifer system.” Rep. No. TR(BR)—131, National Institute of Hydrology, Roorkee, India.
Singh, S. K. (1999). Stream-Aquifer Interaction. PhD thesis, Dept. of Civil Engineering, Univ. of Roorkee, Roorkee, India.
Singh, S. K.(2000). “Identifying impervious boundary and aquifer parameters from pump-test data.” J. Hydraul. Eng., 127(4), 280–285.
Information & Authors
Information
Published In
Copyright
Copyright © 2002 American Society of Civil Engineers.
History
Received: Oct 23, 2000
Accepted: Apr 9, 2001
Published online: Feb 1, 2002
Published in print: Feb 2002
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.