### Abstract

A methodology is developed for determining optimal pumping and recharge of large scale artesian and/or nonartesian aquifers. This methodology couples optimization techniques with existing groundwater simulation models. It can be applied to both groundwater policy evaluation (allocation) such as large-scale aquifers and to hydraulic management problems such as the dewatering of mining or excavation sites. The state variables which represent the heads, and the control variables which represent the pumpages, are implicitly related through the groundwater simulator. The simulator equations are used to express the states in terms of the controls, yielding a much smaller reduced problem. Techniques for computing gradients of reduced problem functions are described. The reduced problem is solved by combining augmented Lagrangian and reduced gradient procedures. The two models coupled are the University of Texas generalized reduced gradient code GRG2 and the Texas Department of Water Resources groundwater simulation model GWSIM. The overall model is referred to as GWMAN.

Original language | English (US) |
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Title of host publication | Technical Report - University of Texas at Austin, Center for Research in Water Resources |

Edition | 217 |

State | Published - Oct 1985 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Water Science and Technology

### Cite this

*Technical Report - University of Texas at Austin, Center for Research in Water Resources*(217 ed.)

**DEVELOPMENT AND TESTING OF A MODEL FOR DETERMINING OPTIMAL PUMPING AND RECHARGE OF LARGE-SCALE AQUIFERS.** / Wanakule, Nisai; Mays, Larry; Lasdon, Leon S.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*Technical Report - University of Texas at Austin, Center for Research in Water Resources.*217 edn.

}

TY - CHAP

T1 - DEVELOPMENT AND TESTING OF A MODEL FOR DETERMINING OPTIMAL PUMPING AND RECHARGE OF LARGE-SCALE AQUIFERS.

AU - Wanakule, Nisai

AU - Mays, Larry

AU - Lasdon, Leon S.

PY - 1985/10

Y1 - 1985/10

N2 - A methodology is developed for determining optimal pumping and recharge of large scale artesian and/or nonartesian aquifers. This methodology couples optimization techniques with existing groundwater simulation models. It can be applied to both groundwater policy evaluation (allocation) such as large-scale aquifers and to hydraulic management problems such as the dewatering of mining or excavation sites. The state variables which represent the heads, and the control variables which represent the pumpages, are implicitly related through the groundwater simulator. The simulator equations are used to express the states in terms of the controls, yielding a much smaller reduced problem. Techniques for computing gradients of reduced problem functions are described. The reduced problem is solved by combining augmented Lagrangian and reduced gradient procedures. The two models coupled are the University of Texas generalized reduced gradient code GRG2 and the Texas Department of Water Resources groundwater simulation model GWSIM. The overall model is referred to as GWMAN.

AB - A methodology is developed for determining optimal pumping and recharge of large scale artesian and/or nonartesian aquifers. This methodology couples optimization techniques with existing groundwater simulation models. It can be applied to both groundwater policy evaluation (allocation) such as large-scale aquifers and to hydraulic management problems such as the dewatering of mining or excavation sites. The state variables which represent the heads, and the control variables which represent the pumpages, are implicitly related through the groundwater simulator. The simulator equations are used to express the states in terms of the controls, yielding a much smaller reduced problem. Techniques for computing gradients of reduced problem functions are described. The reduced problem is solved by combining augmented Lagrangian and reduced gradient procedures. The two models coupled are the University of Texas generalized reduced gradient code GRG2 and the Texas Department of Water Resources groundwater simulation model GWSIM. The overall model is referred to as GWMAN.

UR - http://www.scopus.com/inward/record.url?scp=0022132892&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0022132892&partnerID=8YFLogxK

M3 - Chapter

AN - SCOPUS:0022132892

BT - Technical Report - University of Texas at Austin, Center for Research in Water Resources

ER -