New Methodology for Optimal Operation of Soil Aquifer Treatment Systems
A new methodology is presented in this article for computing the optimal operation of soil aquifer treatment systems. The mathematical problem is stated as a discrete-time optimal control problem to maximize infiltration subject to various physical and operation constraints. The methodology is based...
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| Published in | Water resources management Vol. 14; no. 1; pp. 13 - 33 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Dordrecht
Springer
01.02.2000
Springer Nature B.V |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0920-4741 1573-1650 |
| DOI | 10.1023/A:1008130706862 |
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| Abstract | A new methodology is presented in this article for computing the optimal operation of soil aquifer treatment systems. The mathematical problem is stated as a discrete-time optimal control problem to maximize infiltration subject to various physical and operation constraints. The methodology is based upon solving the discrete-time optimal control problem using a successive approximation linear quadratic regulator interfaced with a simulator. The unsaturated flow model HYDRUS is modified to simulate the water content distribution, the infiltration process, and the draining process. A penalty function method is used to treat the bound constraints on the water content and the cycle time. Sample problems are given to illustrate the capability of the model to solve the optimal operation of soil aquifer treatment systems. |
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| AbstractList | A new methodology is presented in this article for computing the optimal operation of soil aquifer treatment systems. The mathematical problem is stated as a discrete-time optimal control problem to maximize infiltration subject to various physical and operation constraints. The methodology is based upon solving the discrete-time optimal control problem using a successive approximation linear quadratic regulator interfaced with a simulator. The unsaturated flow model HYDRUS is modified to simulate the water content distribution, the infiltration process, and the draining process. A penalty function method is used to treat the bound constraints on the water content and the cycle time. Sample problems are given to illustrate the capability of the model to solve the optimal operation of soil aquifer treatment systems. A new methodology is presented in thisarticle for computing the optimal operation of soilaquifer treatment systems. The mathematical problemis stated as a discrete-time optimal control problemto maximize infiltration subject to various physicaland operation constraints. The methodology is basedupon solving the discrete-time optimal control problemusing a successive approximation linear quadraticregulator interfaced with a simulator. Theunsaturated flow model HYDRUS is modified to simulatethe water content distribution, the infiltrationprocess, and the draining process. A penalty functionmethod is used to treat the bound constraints on thewater content and the cycle time. Sample problems aregiven to illustrate the capability of the model tosolve the optimal operation of soil aquifer treatment systems.[PUBLICATION ABSTRACT] |
| Author | Fox, Peter Mays, Larry W. Li, Guihua Tang, Zongwu |
| Author_xml | – sequence: 1 givenname: Guihua surname: Li fullname: Li, Guihua – sequence: 2 givenname: Zongwu surname: Tang fullname: Tang, Zongwu – sequence: 3 givenname: Larry W. surname: Mays fullname: Mays, Larry W. – sequence: 4 givenname: Peter surname: Fox fullname: Fox, Peter |
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| Cites_doi | 10.1016/B978-0-12-012731-3.50008-1 10.1061/(ASCE)0733-9496(1995)121:6(455) 10.1029/WR026i005p00875 10.2136/sssaj1983.03615995004700030004x 10.1061/(ASCE)0733-9437(1989)115:4(556) 10.1029/92WR01685 10.1061/JRCEA4.0001340 10.1016/0096-3003(84)90051-1 10.1061/(ASCE)0733-9496(1994)120:6(927) |
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| Keywords | waste water simulation mathematical models ground water flow mechanism ground-water recharge infiltration unsaturated zone hydraulics water treatment aquifers new methods optimization water content drainage soils |
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| References | L. Chang (257835_CR4) 1992; 28 H. Bouwer (257835_CR3) 1989; 115 G. V. Reklaitis (257835_CR14) 1983 G. Li (257835_CR11) 1995; 121 I. D. Moore (257835_CR12) 1981; 107 J. B. Kool (257835_CR8) 1991 G. Li (257835_CR10) 1994 L. C. Jones (257835_CR7) 1987; 20 257835_CR15 257835_CR5 H. Mushtaq (257835_CR13) 1994; 120 L. R. Ahuja (257835_CR1) 1983; 47 L. S. Lasdon (257835_CR9) 1989 D. H. Jacobson (257835_CR6) 1970 S. Yakowitz (257835_CR17) 1984; 15 R. Andricevic (257835_CR2) 1990; 26 S. Yakowitz (257835_CR16) 1987; 31 |
| References_xml | – volume-title: GRG2 User's Guide year: 1989 ident: 257835_CR9 – volume: 31 start-page: 75 year: 1987 ident: 257835_CR16 publication-title: Control and Dynamic Systems doi: 10.1016/B978-0-12-012731-3.50008-1 – volume: 121 start-page: 455 issue: 6 year: 1995 ident: 257835_CR11 publication-title: J. Water Resour. Plann. Managt. doi: 10.1061/(ASCE)0733-9496(1995)121:6(455) – volume-title: Differential dynamic programming for estuarine management year: 1994 ident: 257835_CR10 – volume: 26 start-page: 875 issue: 5 year: 1990 ident: 257835_CR2 publication-title: Water Resour. Res. doi: 10.1029/WR026i005p00875 – volume: 20 start-page: 415 issue: 4 year: 1987 ident: 257835_CR7 publication-title: Water Resour. Res. – volume: 47 start-page: 412 year: 1983 ident: 257835_CR1 publication-title: Soil Sci. Soc. Am. J. doi: 10.2136/sssaj1983.03615995004700030004x – ident: 257835_CR5 – volume: 115 start-page: 556 issue: 4 year: 1989 ident: 257835_CR3 publication-title: J. Irrig. Drain. Engng, ASCE doi: 10.1061/(ASCE)0733-9437(1989)115:4(556) – volume: 28 start-page: 3157 issue: 12 year: 1992 ident: 257835_CR4 publication-title: Water Resour. Res. doi: 10.1029/92WR01685 – volume-title: Differential Dynamic Programming year: 1970 ident: 257835_CR6 – volume-title: HYDRUS: One-Dimensional Variably Saturated Flow and Transport Model, Including Hysteresis and Root Uptake, v3.31 year: 1991 ident: 257835_CR8 – volume: 107 start-page: 71 issue: IR1 year: 1981 ident: 257835_CR12 publication-title: J. Irrig. Div., ASCE doi: 10.1061/JRCEA4.0001340 – volume: 15 start-page: 29 year: 1984 ident: 257835_CR17 publication-title: Appl. Math. Comp. doi: 10.1016/0096-3003(84)90051-1 – ident: 257835_CR15 – volume: 120 start-page: 927 issue: 6 year: 1994 ident: 257835_CR13 publication-title: J. Water Resour. Plann. Managt., ASCE doi: 10.1061/(ASCE)0733-9496(1994)120:6(927) – volume-title: Engineering Optimization: Methods and Applications year: 1983 ident: 257835_CR14 |
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| Snippet | A new methodology is presented in thisarticle for computing the optimal operation of soilaquifer treatment systems. The mathematical problemis stated as a... A new methodology is presented in this article for computing the optimal operation of soil aquifer treatment systems. The mathematical problem is stated as a... |
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| SubjectTerms | algorithms Aquifers Earth sciences Earth, ocean, space equations Exact sciences and technology fluid mechanics groundwater recharge Hydrogeology Hydrology. Hydrogeology Operations research simulation models Soil treatment Studies unsaturated flow Water content Water treatment |
| Title | New Methodology for Optimal Operation of Soil Aquifer Treatment Systems |
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