Estimation of settling velocity using generalized reduced gradient (GRG) and hybrid generalized reduced gradient–genetic algorithm (hybrid GRG-GA)
This study describes the settling velocity phenomenon and deals with the methods for its estimation. The accuracy of three previously proposed settling velocity equations is also checked in this study. After graphical and statistical analysis, the authors proposed generalized reduced gradient (GRG)...
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| Veröffentlicht in: | Acta geophysica Jg. 70; H. 5; S. 2487 - 2497 |
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| Format: | Journal Article |
| Sprache: | Englisch |
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01.10.2022
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| ISSN: | 1895-7455, 1895-7455 |
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| Abstract | This study describes the settling velocity phenomenon and deals with the methods for its estimation. The accuracy of three previously proposed settling velocity equations is also checked in this study. After graphical and statistical analysis, the authors proposed generalized reduced gradient (GRG) and hybrid generalized reduced gradient–genetic algorithm (hybrid GRG-GA) approaches for the estimation of settling velocity. Hybrid GRG-GA-based settling velocity approach showed more precise results than GRG approach. In addition, hybrid GRG-GA and GRG approaches were compared with previously proposed equations using 226 data points. The graphical and statistical analysis shows that the hybrid GRG-GA and GRG approaches give better agreement with observed data points as compared to previously proposed equations. Application of hybrid GRG-GA reduces the sum of square of error in fall velocity by over 70% and 30% on an average as compared to previous equations during training and testing, respectively. This study highlights that the hybrid GRG-GA approach could be efficiently used for calculating the settling velocity. |
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| AbstractList | This study describes the settling velocity phenomenon and deals with the methods for its estimation. The accuracy of three previously proposed settling velocity equations is also checked in this study. After graphical and statistical analysis, the authors proposed generalized reduced gradient (GRG) and hybrid generalized reduced gradient–genetic algorithm (hybrid GRG-GA) approaches for the estimation of settling velocity. Hybrid GRG-GA-based settling velocity approach showed more precise results than GRG approach. In addition, hybrid GRG-GA and GRG approaches were compared with previously proposed equations using 226 data points. The graphical and statistical analysis shows that the hybrid GRG-GA and GRG approaches give better agreement with observed data points as compared to previously proposed equations. Application of hybrid GRG-GA reduces the sum of square of error in fall velocity by over 70% and 30% on an average as compared to previous equations during training and testing, respectively. This study highlights that the hybrid GRG-GA approach could be efficiently used for calculating the settling velocity. |
| Author | Zakwan, Mohammad Shivashankar, M. Pandey, Manish |
| Author_xml | – sequence: 1 givenname: M. surname: Shivashankar fullname: Shivashankar, M. organization: Water Resources and Environmental Div., Civil Engineering Department, NIT Warangal – sequence: 2 givenname: Manish orcidid: 0000-0002-4215-5671 surname: Pandey fullname: Pandey, Manish email: manishpandey3aug@gmail.com, mpandey@nitw.ac.in organization: Water Resources and Environmental Div., Civil Engineering Department, NIT Warangal – sequence: 3 givenname: Mohammad surname: Zakwan fullname: Zakwan, Mohammad organization: Department of Civil Engineering, MANUU |
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| Cites_doi | 10.1061/(ASCE)0733-950X(2000)126:2(99) 10.3390/fluids6020086 10.1017/CBO9780511806049 10.1007/s12205-013-0037-2 10.1016/j.csr.2011.01.015 10.1111/j.1365-3091.1981.tb01948.x 10.1061/(ASCE)0733-9429(2007)133:2(229) 10.1007/978-3-030-26086-6_10 10.1016/j.jher.2008.10.003 10.1061/(ASCE)0733-9429(1997)123:2(149) 10.1007/s10652-018-09655-9 10.1061/(ASCE)0733-9429(1991)117:5(660) 10.1016/j.jenvman.2021.112807 10.3390/w13030379 10.3390/w12082249 10.1155/2021/9945218 10.1061/(ASCE)0733-9429(2006)132:8(858) 10.1029/WR018i006p01615 10.1016/j.envsoft.2014.09.013 10.1061/(ASCE)0733-9429(2007)133:4(440) 10.1061/(ASCE)0733-9429(1984)110:11(1613) 10.1016/j.coastaleng.2012.08.005 10.1029/2012WR011984 10.1007/s40996-018-0136-x 10.3390/sym13010071 10.1002/2013WR015116 10.1016/j.jher.2020.06.002 10.1016/j.asoc.2011.12.003 10.1504/IJHST.2021.10034758 10.2166/ws.2020.244 10.1061/(ASCE)0733-950X(2003)129:2(70) 10.2475/ajs.s5-25.148.325 10.1016/B978-0-12-398296-4.00001-5 |
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| Title | Estimation of settling velocity using generalized reduced gradient (GRG) and hybrid generalized reduced gradient–genetic algorithm (hybrid GRG-GA) |
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