Analytical Steady-State Solution for a Three-Dimensional Partially Penetrating Ditch Drainage System Receiving Water from an Uneven Ponding Field
Publication: Journal of Irrigation and Drainage Engineering
Volume 146, Issue 12
Abstract
A steady-state analytical solution is proposed for computing three-dimensional seepage into a partially penetrating ditch drainage system receiving water from an uneven ponding field of finite size. The draining soil is assumed to be saturated, homogeneous, and anisotropic, resting on an impervious stratum. The correctness of the proposed model was checked with the analytical and experimental results for a simplified case. A numerical comparison was also carried out between the proposed analytical model and the corresponding finite-difference model for a given flow condition. The study highlights the significance of drain width, penetration depth, ponding distribution, and anisotropic ratio on the discharge distribution from the side and bottom face of the drains. In ditches of shallow depth, a significant rise in the percentage of bottom flow was found in soil with a low anisotropic ratio. With the introduction of the uneven ponding field, considerable enhancement in the contribution of flow discharge from the bottom face of the drain was observed. Travel time and orientation of flow paths were found sensitive to the point of release at the soil surface. Moreover, partially penetrating ditches promote a highly curved flow path from the surface to the recipient drain which in turn increases the travel time of the water particle.
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Data Availability Statement
The MATLAB codes used to plot the hydraulic head function contour surface, the discharge function, and the pathlines are available from the corresponding author by request.
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Published In
Journal of Irrigation and Drainage Engineering
Volume 146 • Issue 12 • December 2020
Copyright
© 2020 American Society of Civil Engineers.
History
Received: Jul 4, 2019
Accepted: Jul 21, 2020
Published online: Sep 27, 2020
Published in print: Dec 1, 2020
Discussion open until: Feb 27, 2021
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