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Optimization Model for the Design of Infiltration Basins

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  • Nick Stafford
  • Daniel Che
  • L. Mays

Abstract

A nonlinear programming (NLP) optimization model has been developed for the minimum cost design of infiltration basins and infiltration trenches. The focus of this optimization model and approach is to provide a functional and versatile tool to simultaneously determine the peak inflow and runoff from a design storm event based on watershed parameters, and to optimize the size of an infiltration basin based on the design storm parameters, infiltration characteristics, basin capacity, and mounding. Two optimization models are developed, one is based upon the rational method and the second is based upon the modified rational method. Both approaches use the Green-Ampt method for infiltration, in addition to a method for defining the mounding effects. The various hydrologic concepts are defined through constraints in the optimization models. No previous optimizations models for infiltration basin design have been developed that can accomplish the detail of this new model. The nonlinear programming model is solved using the GAMS (General Algebraic Modeling system) software which is readily available. Copyright Springer Science+Business Media Dordrecht 2015

Suggested Citation

  • Nick Stafford & Daniel Che & L. Mays, 2015. "Optimization Model for the Design of Infiltration Basins," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(8), pages 2789-2804, June.
    • Handle: RePEc:spr:waterr:v:29:y:2015:i:8:p:2789-2804
    DOI: 10.1007/s11269-015-0970-6
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    References listed on IDEAS

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    1. Jonathon Chill & Larry Mays, 2013. "Determination of the Optimal Location for Developments to Minimize Detention Requirements," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(15), pages 5089-5100, December.
    2. Karen Goff & Randall Gentry, 2006. "The Influence of Watershed and Development Characteristics on the Cumulative Impacts of Stormwater Detention Ponds," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 20(6), pages 829-860, December.
    3. Brummer, Johannes, 1995. "A constructive solution for optimal local control of runoff events," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 39(1), pages 39-52.
    4. Robert Oxley & Larry Mays, 2014. "Optimization – Simulation Model for Detention Basin System Design," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(4), pages 1157-1171, March.
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    Cited by:

    1. Marco Masetti & Daniele Pedretti & Alessandro Sorichetta & Stefania Stevenazzi & Federico Bacci, 2016. "Impact of a Storm-Water Infiltration Basin on the Recharge Dynamics in a Highly Permeable Aquifer," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(1), pages 149-165, January.

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