Minimum height of the trapezoidal filter in earth dams using Complex Function Theory

Height of the trapezoidal filter in earth dam based on an impervious base is established using Complex Function Theory. Based on different earth dam and filter dimensions, such as retained water head upstream the dam, angle of inclination and upstream face length of the filter, a new formula is deri...

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Main Authors: Mohamed Abd El-Razek M. Rezk, Magdy M. Abo Elela
Format: Article
Language:English
Published: Elsevier 2015-12-01
Series:Alexandria Engineering Journal
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S111001681500143X
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author Mohamed Abd El-Razek M. Rezk
Magdy M. Abo Elela
author_facet Mohamed Abd El-Razek M. Rezk
Magdy M. Abo Elela
author_sort Mohamed Abd El-Razek M. Rezk
collection DOAJ
description Height of the trapezoidal filter in earth dam based on an impervious base is established using Complex Function Theory. Based on different earth dam and filter dimensions, such as retained water head upstream the dam, angle of inclination and upstream face length of the filter, a new formula is derived to calculate minimum height of the trapezoidal filter. Phreatic surface through earth dam is drawn for different dam and filter dimensions. Also, seepage discharge passing through the dam per unit length is determined. Comparison between present work and both Hathoot and Kozeny is made.
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spelling doaj.art-709d42f707524fd2acfc1f58df60654d2022-12-21T22:26:24ZengElsevierAlexandria Engineering Journal1110-01682015-12-015441219122410.1016/j.aej.2015.09.006Minimum height of the trapezoidal filter in earth dams using Complex Function TheoryMohamed Abd El-Razek M. RezkMagdy M. Abo ElelaHeight of the trapezoidal filter in earth dam based on an impervious base is established using Complex Function Theory. Based on different earth dam and filter dimensions, such as retained water head upstream the dam, angle of inclination and upstream face length of the filter, a new formula is derived to calculate minimum height of the trapezoidal filter. Phreatic surface through earth dam is drawn for different dam and filter dimensions. Also, seepage discharge passing through the dam per unit length is determined. Comparison between present work and both Hathoot and Kozeny is made.http://www.sciencedirect.com/science/article/pii/S111001681500143XSeepageFilterEarth damsComplex function
spellingShingle Mohamed Abd El-Razek M. Rezk
Magdy M. Abo Elela
Minimum height of the trapezoidal filter in earth dams using Complex Function Theory
Alexandria Engineering Journal
Seepage
Filter
Earth dams
Complex function
title Minimum height of the trapezoidal filter in earth dams using Complex Function Theory
title_full Minimum height of the trapezoidal filter in earth dams using Complex Function Theory
title_fullStr Minimum height of the trapezoidal filter in earth dams using Complex Function Theory
title_full_unstemmed Minimum height of the trapezoidal filter in earth dams using Complex Function Theory
title_short Minimum height of the trapezoidal filter in earth dams using Complex Function Theory
title_sort minimum height of the trapezoidal filter in earth dams using complex function theory
topic Seepage
Filter
Earth dams
Complex function
url http://www.sciencedirect.com/science/article/pii/S111001681500143X
work_keys_str_mv AT mohamedabdelrazekmrezk minimumheightofthetrapezoidalfilterinearthdamsusingcomplexfunctiontheory
AT magdymaboelela minimumheightofthetrapezoidalfilterinearthdamsusingcomplexfunctiontheory