A Method for Solving Percolation Overflow Boundary Based on Maximum of Horizontal Energy Loss Rate

The determination of overflow boundary is a prerequisite for the accurate solution of the seepage field by the finite element method. In this paper, a method for solving overflow boundary according to the maximum value of horizontal energy loss rate is proposed, which based on the analysis of the ph...

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Autores principales:	Yuandong Li, Bing Hao, Xiaojun Li, Liguo Jin, Qing Dong, Zhenghua Zhou
Formato:	article
Lenguaje:	EN
Publicado:	Frontiers Media S.A. 2021
Materias:	seepage field finite element calculation overflow boundary functional horizontal energy loss rate analytical solution Science Q
Acceso en línea:	https://doaj.org/article/d38d8d605ec848d88db253e4957a2d96
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spelling	oai:doaj.org-article:d38d8d605ec848d88db253e4957a2d962021-11-05T14:20:35ZA Method for Solving Percolation Overflow Boundary Based on Maximum of Horizontal Energy Loss Rate2296-646310.3389/feart.2021.782946https://doaj.org/article/d38d8d605ec848d88db253e4957a2d962021-11-01T00:00:00Zhttps://www.frontiersin.org/articles/10.3389/feart.2021.782946/fullhttps://doaj.org/toc/2296-6463The determination of overflow boundary is a prerequisite for the accurate solution of the seepage field by the finite element method. In this paper, a method for solving overflow boundary according to the maximum value of horizontal energy loss rate is proposed, which based on the analysis of the physical meaning of functional and the water head distribution of seepage field under different overflow boundaries. This method considers that the overflow boundary that makes the horizontal energy loss rate reach the maximum value is the real boundary overflow. Compared with the previous iterative computation method of overflow point and free surface, the method of solving overflow boundary based on the maximum horizontal energy loss rate does not need iteration, so the problem of non-convergence does not exist. The relative error of the overflow points is only 1.54% and 0.98% by calculating the two-dimensional model of the glycerol test and the three-dimensional model of the electric stimulation test, respectively. Compared with the overflow boundary calculated by the node virtual flow method, improved cut-off negative pressure method, initial flow method, and improved discarding element method, this method has a higher accuracy.Yuandong LiBing HaoXiaojun LiLiguo JinQing DongZhenghua ZhouZhenghua ZhouFrontiers Media S.A.articleseepage field finite element calculationoverflow boundaryfunctionalhorizontal energy loss rateanalytical solutionScienceQENFrontiers in Earth Science, Vol 9 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	seepage field finite element calculation overflow boundary functional horizontal energy loss rate analytical solution Science Q
spellingShingle	seepage field finite element calculation overflow boundary functional horizontal energy loss rate analytical solution Science Q Yuandong Li Bing Hao Xiaojun Li Liguo Jin Qing Dong Zhenghua Zhou Zhenghua Zhou A Method for Solving Percolation Overflow Boundary Based on Maximum of Horizontal Energy Loss Rate
description	The determination of overflow boundary is a prerequisite for the accurate solution of the seepage field by the finite element method. In this paper, a method for solving overflow boundary according to the maximum value of horizontal energy loss rate is proposed, which based on the analysis of the physical meaning of functional and the water head distribution of seepage field under different overflow boundaries. This method considers that the overflow boundary that makes the horizontal energy loss rate reach the maximum value is the real boundary overflow. Compared with the previous iterative computation method of overflow point and free surface, the method of solving overflow boundary based on the maximum horizontal energy loss rate does not need iteration, so the problem of non-convergence does not exist. The relative error of the overflow points is only 1.54% and 0.98% by calculating the two-dimensional model of the glycerol test and the three-dimensional model of the electric stimulation test, respectively. Compared with the overflow boundary calculated by the node virtual flow method, improved cut-off negative pressure method, initial flow method, and improved discarding element method, this method has a higher accuracy.
format	article
author	Yuandong Li Bing Hao Xiaojun Li Liguo Jin Qing Dong Zhenghua Zhou Zhenghua Zhou
author_facet	Yuandong Li Bing Hao Xiaojun Li Liguo Jin Qing Dong Zhenghua Zhou Zhenghua Zhou
author_sort	Yuandong Li
title	A Method for Solving Percolation Overflow Boundary Based on Maximum of Horizontal Energy Loss Rate
title_short	A Method for Solving Percolation Overflow Boundary Based on Maximum of Horizontal Energy Loss Rate
title_full	A Method for Solving Percolation Overflow Boundary Based on Maximum of Horizontal Energy Loss Rate
title_fullStr	A Method for Solving Percolation Overflow Boundary Based on Maximum of Horizontal Energy Loss Rate
title_full_unstemmed	A Method for Solving Percolation Overflow Boundary Based on Maximum of Horizontal Energy Loss Rate
title_sort	method for solving percolation overflow boundary based on maximum of horizontal energy loss rate
publisher	Frontiers Media S.A.
publishDate	2021
url	https://doaj.org/article/d38d8d605ec848d88db253e4957a2d96
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A Method for Solving Percolation Overflow Boundary Based on Maximum of Horizontal Energy Loss Rate

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