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Article Number - D894FFB55249


Vol.12(19), pp. 188-199 , November 2017
https://doi.org/10.5897/SRE2017.6543
ISSN: 1992-2248


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Full Length Research Paper

Time step-size on simulation of tree-induced capillary potential in unsaturated soils



Mu’azu Mohammed Abdullahi
  • Mu’azu Mohammed Abdullahi
  • Civil Engineering Department, Jubail University College, Royal Commission of Jubail and Yanbu, Jubail Industrial City, Kingdom of Saudi Arabia.
  • Google Scholar







 Received: 08 October 2017  Accepted: 01 November 2017  Published: 15 November 2017

Copyright © 2017 Author(s) retain the copyright of this article.
This article is published under the terms of the Creative Commons Attribution License 4.0


Unreliability in the assumption of soil properties, selection of elapse time, choice of time step size and atmospheric variables causes most inconsistencies in the simulation results. Therefore, time step size studied was based on root water up-take on a single Lime tree on a Boulder Clay. The effects of ¼, ½ and 1 day time step sizes on generated capillary potential at 0.0 m, 1.4 m and 3.0 m from the lime tree for  elapse time of 30, 90, 190 and 270 days elapsed time were studied. A straightforward sink term for root water uptake was used and combined with two-dimensional axi-symmetric governing equation for unsaturated soil. The simulated capillary potential was directly proportional to the elapsed time. The time step sizes studied were found to give the same generated capillary potentials at same spacial distances. The idea was to investigate the generated capillary potentials at ¼, ½ and 1 days time steps sizes at a same spatial distance from the Lime tree on a Boulder Clay should be the same. Consequently, the difference in the results generated with the three initial time step sizes were far less than ±5%, which is satisfactory.
 
Key words: Unsaturated soil, boundary condition, capillary potential, spatial discretization, time discretization.

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APA Abdullahi, M. M. (2017). Time step-size on simulation of tree-induced capillary potential in unsaturated soils. Scientific Research and Essays, 12(19), 188-199.
Chicago Mu’azu Mohammed Abdullahi. "Time step-size on simulation of tree-induced capillary potential in unsaturated soils." Scientific Research and Essays 12, no. 19 (2017): 188-199.
MLA Mu’azu Mohammed Abdullahi. "Time step-size on simulation of tree-induced capillary potential in unsaturated soils." Scientific Research and Essays 12.19 (2017): 188-199.
   
DOI https://doi.org/10.5897/SRE2017.6543
URL http://academicjournals.org/journal/SRE/article-abstract/D894FFB55249

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