TECHNICAL PAPERS
Mar 1, 1993

Movement of Ground Water in Converging Aquifer

Publication: Journal of Irrigation and Drainage Engineering
Volume 119, Issue 2

Abstract

An analytical solution for regional flow in a converging or wedge‐shaped aquifer is given. Darcy's law and the continuity equation, expressed in cylindrical coordinates, were solved for flow in a vertical cross section of a two‐dimensional aquifer. The lower horizontal boundary and the vertical boundaries at r=0 and r=a are no‐flow boundaries. The upper horizontal boundary is a prescribed head consisting of a linear increase with radius onto which is superimposed a sine wave. In plan view, the streamlines are radially convergent. The converging system shows a concentration of streamlines near the divide and a spreading of streamlines near the apex due to the prescribed potential on the upper boundary that limits the rate of water movement toward the apex. The effect of relief on local flow systems is limited, especially in the region near the valley bottom.

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References

1.
Abramowitz, M., and Stegun, I. A. (1964). Handbook of mathematical functions with formulas, graphs, and mathematical tables. Nat. Bureau of Standards, Appl. Math Series 55, U. S. Government Printing Office, Washington, D.C.
2.
Carslaw, H. S., and Jaeger, J. C. (1959). Conduction of Heat in Solids, Oxford Univ. Press, Oxford, England.
3.
Freeze, R. A., and Witherspoon, P. A. (1966). “Theoretical analysis of regional groundwater flow: 1. Analysis and numerical solutions to the mathematical model.” Water Resour. Res., 2(4), 641–656.
4.
Freeze, R. A., and Witherspoon, P. A. (1967). “Theoretical analysis of regional groundwater flow: 2. Effect of water‐table configuration and subsurface permeability variation.” Water Resour. Res., 3(2), 623–634.
5.
Freeze, R. A., and Witherspoon, P. A. (1968). “Theoretical analysis of regional ground‐water flow: 3. Quantitative interpretations.” Water Resour. Res., 4(3), 581–590.
6.
Pionke, H. B., Schnabel, R. R., Hoover, J. R., Gburek, W. J., Urban, J. B., and Rogowski, A. S. (1986). “Mahantango Creek Watershed—Fate and transport of water and nutrients.” Watershed Research Perspectives, D. L. Correll, ed., Smithsonian Inst. Press, Washington, D.C., 108–134.
7.
Singh, V. P., and Shelbourne, K. L. (1979). “Use of watershed topography to determine converging overland flow parameters.” J. Inst. Engrs. (India), 59(6), 388–393.
8.
Singh, V. P., and Woolhiser, D. A. (1976). “A nonlinear kinematic wave model for watershed surface runoff.” J. Hydrol., 31, 221.
9.
Tóth, J. (1962). “A theory of groundwater movement in small drainage basins in central Alberta, Canada.” J. Geophysical Res., 67(11), 4375–4387.
10.
Tóth, J. (1963). “A theoretical analysis of groundwater flow in small drainage basin.” J. Geophysical Res., 68(16), 4795–4812.
11.
Wang, H. F., and Anderson, M. P. (1982). Introduction to groundwater modeling. W. H. Freeman and Co., New York, N.Y.
12.
Woolhiser, D. A. (1969). “Overland flow on a converging surface.” Trans. Am. Soc. Agr. Engr., 12(4), 460–462.
13.
Woolhiser, D. A., Holland, M. E., Smith, G. L., and Smith, R. E. (1971). “Experimental investigation of converging overland flow.” Trans. Am. Soc. Agr. Engr., 14(4), 684–687.

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Information

Published In

Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 119Issue 2March 1993
Pages: 312 - 322

History

Received: Oct 30, 1991
Published online: Mar 1, 1993
Published in print: Mar 1993

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Authors

Affiliations

Allen T. Hjelmfelt, Jr., Member, ASCE
Res. Hydr. Engr., USDA‐Agric. Res. Service, Agric. Engrg. Bldg., Univ. of Missouri, Columbia, MO 65211
Zhanzhong Pi
Grad. Student, Agric. Engrg. Dept., Agric. Engrg. Bldg., Univ. of Missouri, Columbia, MO

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