Non‐steady‐Flow Type Curves for Strip Aquifers with Constant Drawdown
Publication: Journal of Irrigation and Drainage Engineering
Volume 120, Issue 4
Abstract
A type‐curve method to determine aquifer parameters from a constant‐drawdown test at a drain in a finite strip aquifer is described. An available solution in the form of complementary error functions to one‐dimensional, non‐steady flow toward a drain, under constant drawdown condition in a strip aquifer bounded on the other side by an impervious formation, is used to define a drain function. Values of the drain function are calculated by using a polynomial approximation for the complementary error function and are tabulated, and a corresponding family of type curves is constructed for selected values of dimensionless distance along the width of the strip aquifer. The method is demonstrated through an application. The proposed match‐point procedure may be used to determine the aquifer parameters from observed drawdown values in an observation well in the strip aquifer and discharge data measured in the drain during constant drawdown canal pumping tests.
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References
1.
Handbook of mathematical functions with formulas, graphs, and mathematical tables: applied mathematics series 55. (1972). M. Abramowitz and I. A. Stegun, eds., National Bureau of Standards, Washington, D.C.
2.
Bear, J. (1979). Hydraulics of groundwater. McGraw‐Hill Book Co., New York, N.Y.
3.
Carslaw, H. S., and Jaeger, J. C. (1978). Conduction of Heat, 2nd Ed., Oxford University, London, United Kingdom.
4.
Cooper, H. H. Jr., and Rorabaugh, M. I. (1963). “Groundwater movements and bank storage due to flood stages in surface streams.” U.S. Geological Survey [USGS] Water Supply Paper No. 1536‐J, USGS, Washington, D.C., 343–366.
5.
Gustafson, G. (1977). “A method of calculating the hydraulic properties of leaky aquifer systems.” Nordic Hydrol., 8(2), 65–82.
6.
Hall, F. R., and Moench, A. F. (1972). “Application of the convolution equation to stream‐aquifer relationships.” Water Resour. Res., 8(2), 487–493.
7.
Jacob, C. E. (1944). “Notes on determining permeability by pumping tests under water table conditions.” Mimeo Rep., USGS, Washington, D.C.
8.
Lohman, S. W. (1972). “Ground‐water hydraulics.” Geological Survey Prof. Paper 708, US Government Printing Office, Washington, D.C.
9.
Motz, L. H. (1990a). “Draw‐downs for constant‐discharge one‐dimensional leaky aquifer.” J. Irrig. and Drain. Engrg., ASCE, 116(3), 456–461.
10.
Motz, L. H. (1990b). “Aquifer parameters from constant drawdown nonsteady‐leaky type curves.” Water Resour. Bull., 26(2), 233–239.
11.
Motz, L. H. (1991). “Aquifer parameters from constant discharge nonsteady leaky type curves.” J. Ground Water, 29(2), 181–185.
12.
Motz, L. H. (1992). “Draw‐downs for nonleaky aquifer flow with storage in finite width sink.” J. Irrig. and Drain. Engrg., ASCE, 118(4), 645–651.
13.
Pinder, G. F., Bredehoeft, J. D., and Cooper Jr., H. H. (1969). “Determination of aquifer diffusivity from aquifer response to fluctuations in river stage.” Water Resour. Res., 5(4), 850–855.
14.
Rorabaugh, M. I. (1960). “Use of Water levels in estimating aquifer constants in a finite aquifer.” Publication No. 52, International Association of Scientific Hydrology, (IASH), 314–323.
15.
Rorabaugh, M. I. (1964). “Estimating changes in bank storage and ground‐water contribution to stream flow.” Publication No. 63, (IAHS); 432–441.
16.
Sen, Z. (1986). “Aquifer test analysis in fractured rocks with linear flow pattern.” Ground Water, 24(1), 72–78.
17.
Vandenberg, A. (1977a). “Type curves for analysis of pump tests in leaky strip aquifers.” J. Hydrol., 33(1/2), 15–26.
18.
Vandenberg, A. (1977b). “Series expression for the well function for leaky strip aquifers.” J. Hydrol., 34(3/4), 389–394.
19.
Vandenberg, A. (1978). “Nonsteady drain function for parallel flow in leaky aquifers.” J. Hydrol., 37(3/4), 379–385.
Information & Authors
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Published In
Journal of Irrigation and Drainage Engineering
Volume 120 • Issue 4 • July 1994
Pages: 732 - 741
Copyright
Copyright © 1994 American Society of Civil Engineers.
History
Received: Apr 5, 1993
Published online: Jul 1, 1994
Published in print: Jul 1994
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