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...
Main Authors: | , |
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Format: | Article |
Language: | English |
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Elsevier
2015-12-01
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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. |
first_indexed | 2024-12-16T15:29:10Z |
format | Article |
id | doaj.art-709d42f707524fd2acfc1f58df60654d |
institution | Directory Open Access Journal |
issn | 1110-0168 |
language | English |
last_indexed | 2024-12-16T15:29:10Z |
publishDate | 2015-12-01 |
publisher | Elsevier |
record_format | Article |
series | Alexandria Engineering Journal |
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 |