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An Analytic Solution of Water Transport in Unsaturated Porous Media

卷 11, 册 6, 2008, pp. 591-601
DOI: 10.1615/JPorMedia.v11.i6.60
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摘要

One of the most well-known equations to describe the behavior of the infiltration of unsaturated zones in soil as a porous medium is known as Richards' equation. Although analytical approaches in simulating infiltration are few, there are many numerical researches to model this physical phenomenon. The Adomian decomposition method (ADM) is one of the most recent approaches used in solving nonlinear partial differential or algebraic equations, and is an easy way to achieve the analytic solution. In this article, two refined approaches in improving ADM are used to simulate volumetric water content via Richards' equation. The first modification was recently presented by Wazwaz using a new regrouping approach in Adomian series terms and the last is the Pade approximation. A comparison of the exact solution and (modified) ADM illustrate very good coverage and results.

对本文的引用
  1. Asgari A., Bagheripour M.H., Mollazadeh M., A generalized analytical solution for a nonlinear infiltration equation using the exp-function method, Scientia Iranica, 18, 1, 2011. Crossref

  2. Ghotbi Abdoul R., Omidvar M., Barari A., Infiltration in unsaturated soils – An analytical approach, Computers and Geotechnics, 38, 6, 2011. Crossref

  3. Patel Priyanka M., Pradhan Vikas H., Exact Travelling Wave Solutions of Richards’ Equation by Modified F-expansion Method, Procedia Engineering, 127, 2015. Crossref

  4. Sanayei Hamed Reza Zarif, Rakhshandehroo G. Reza, Talebbeydokhti Nasser, New Analytical Solutions to 2-D Water Infiltration and Imbibition into Unsaturated Soils for Various Boundary and Initial Conditions, Iranian Journal of Science and Technology, Transactions of Civil Engineering, 40, 3, 2016. Crossref

  5. Furtado I.C., Bodmann B.E.J., de Vilhena M.T., On the construction of a functional solution method for the infiltration in porous media problems, Physica A: Statistical Mechanics and its Applications, 450, 2016. Crossref

  6. Omidvar M., Barari A., Momeni M., Ganji D.D., New class of solutions for water infiltration problems in unsaturated soils, Geomechanics and Geoengineering, 5, 2, 2010. Crossref

  7. Prakasha D. G., Veeresha P., Singh Jagdev, Fractional Approach for Equation Describing the Water Transport in Unsaturated Porous Media With Mittag-Leffler Kernel, Frontiers in Physics, 7, 2019. Crossref

  8. Sanayei Hamed Reza Zarif, Talebbeydokhti Nasser, Rakhshandehroo G. Reza, Analytical Solutions for Water Infiltration into Unsaturated–Semi-Saturated Soils Under Different Water Content Distributions on the Top Boundary, Iranian Journal of Science and Technology, Transactions of Civil Engineering, 43, 4, 2019. Crossref

  9. Ghazanfari Sadegh, Pande Saket, Cheema M. J. M., Alizadeh Amin, Farid Alireza, The role of soil moisture accounting in estimation of soil evaporation and transpiration, Journal of Hydroinformatics, 18, 2, 2016. Crossref

  10. Su Lijun, Yang Xin, Wang Quanjiu, Qin Xinqiang, Zhou Beibei, Shan Yuyang, Functional Extremum Solution and Parameter Estimation for One-Dimensional Vertical Infiltration using the Brooks-Corey Model, Soil Science Society of America Journal, 82, 6, 2018. Crossref

  11. Patel Hardik S., Tandel Priti V., Fractional Reduced Differential Transform Method for the Water Transport in Unsaturated Porous Media, International Journal of Applied and Computational Mathematics, 7, 1, 2021. Crossref

  12. Nasseri Mohsen, Attarnejad Reza, Applications of Variational Iteration Method in Applied Hydrology, Journal of Hydrologic Engineering, 14, 9, 2009. Crossref

  13. Wu Sicong, Ma Donghao, Liu Zhipeng, Zhang Jiabao, Chen Lin, Pan Xicai, Chen Lianghong, An approximate solution to one-dimensional upward infiltration in soils for a rapid estimation of soil hydraulic properties, Journal of Hydrology, 612, 2022. Crossref

  14. Zoheir Benyelles, Zadjaoui Abdeldjalil, Abdelmalek Bekkouche, Modelling the Unsteady Flow of Water into a Partly Saturated Soil, Mathematical Modelling in Civil Engineering, 15, 4, 2019. Crossref

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