A study of moisture content in unsaturated porous medium by using homotopy perturbation method (HPM) and variational iteration method (VIM)

Springer Science and Business Media LLC - Tập 13 - Trang 1-10 - 2022
Gohar Rehman1, Shengwu Qin1, Qura Tul Ain2,3, Zaheen Ullah4, Muhammad Zaheer5, Muhammad Afnan Talib6, Qaiser Mehmood1, Muhammad Yousuf Jat Baloch7, Naveed ur Rahman8
1College of Construction Engineering, Jilin University, Changchun, China
2Department of Mathematical Sciences, Soochow University, Suzhou, China
3College of Mathematics, Guizhou University, Guiyang, China
4Department of Geology, University of Baltistan Skardu, Skardu, Pakistan
5Department of Enviromental Sciences, Hazara University, Mansehra, Pakistan
6School of Environmental Studies, China University of Geosciences, Wuhan, China
7Collage of New Energy and Environment, Jilin University, Changchun, China
8China University of Petroleum (Beijing), China

Tóm tắt

Vertical infiltration of water plays an important role in the recharged of contaminated water and enhanced moisture content in the unsaturated porous media. The mathematical model used for such type of phenomenon is Burger's equation. Unsaturated porous media are analyzed by solving Burger's equation using the variational iterative modeling and homotopy perturbation method. When considering all moisture contents, it appears that the cumulative coefficient is unchanged. It is also shown that the soil's moisture content decreases with depth (y) and time (t). The results indicate that this method is very efficient and can be useful to solve large-scale problems that arise in civil engineering, geology, material science, and fossil fuel problems.

Tài liệu tham khảo

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