Steady Groundwater Flow to Drains on a Sloping Bed: Comparison of Solutions Based on Boussinesq Equation and Richards Equation |
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| Authors: | F J Cook R A Wooding |
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| Institution: | (1) CSIRO Land and Water, Brisbane, Australia;(2) The University of Queensland, Brisbane, QLD, Australia;(3) eWater Cooperative Research Center, Brisbane, QLD, Australia;(4) Irrigation Futures Cooperative Research Center, Brisbane, QLD, Australia;(5) School of Mathematical Sciences, Queensland University of Technology, Brisbane, QLD, Australia;(6) CSIRO Land and Water, Canberra, Australia |
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| Abstract: | Analytical expressions for the scaling factor (A) in the Wooding and Chapman (J Geophys Res 71:2895–2902, 1966) solution for steady-state flow to drains on a sloping bed
are presented. Otherwise A needs to be obtained by matching numerical and solutions. Corrections to various errors in other analytical solutions are
given. The HYDRUS2D numerical model was used to generate results for steady-state flow to drains on a sloping bed which were
compared to published Hele-Shaw cell results. The numerical results were used to compute both the pressure head on the bottom
and the height of the phreatic surface. The numerical results for maximum water-table height are almost exactly the same as
the published Hele-Shaw cell results and are greater than the numerical values for the maximum pressure heads on the sloping
base. These HYDRUS2D model results were then compared with various analytical solutions, and it was found that Towner’s (Water
Resour Res 11:144–147, 1975) solution gave the best results for both estimation of the maximum height of the phreatic surface
and the position on the slope where this occurs. |
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| Keywords: | Groundwater Boussinesq Soil water Modelling |
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