Abstract
Obtaining optimal solutions for time-varying groundwater remediation design is a challenging task. A novel procedure first employs input/output data sets obtained by constrained differential dynamic programming (CDDP). Then the Adaptive-Network-Based Fuzzy Inference System (ANFIS), which is a fuzzy inference system (FIS) implemented in the adaptive network framework, is applied to acquire time-varying pumping rates. Results demonstrate that the FIS is an efficient way of groundwater remediation design.
Similar content being viewed by others
References
Chang LC, Chang FJ (2001) Intelligent control for modelling of real-time reservoir operation. Hydrol Process 15:1621–1634
Chang LC, Hsiao CT (2002) Dynamic optimal groundwater remediation including fixed and operation costs. Ground Water 40(5):481–490
Chang LC, Shoemaker CA (1992) Optimal time-varying pumping for groundwater remediation application of a constrained optimal control algorithm. Water Resour Res 28(12):3157–3173
Chang LC, Chu HJ, Hsiao CT (2007) Optimal planning of a dynamic pump–treat–inject groundwater remediation system. J Hydrol 342(3–4):295–304
Chu HJ, Hsiao CT, Chang LC (2005) Optimal remediation design in groundwater systems by intelligent techniques. Knowl-Based Intelligent Information and Engineering Syst, Pt 2, Proceedings 3682:628–634
Culver TB, Shoemaker CA (1992) Dynamic optimal control for groundwater remediation with flexible management periods. Water Resour Res 28(3):629–641
Culver TB, Shoemaker CA (1993) Optimal control for groundwater remediation by differential dynamic programming with quasi-Newton approximations. Water Resour Res 29(4):823–831
Culver TB, Shoemaker CA (1997) Dynamic optimal ground-water reclamation with treatment capital costs. J Water Resour Plan Manage ASCE 123(1):23–29
Geng JQ, Chen Z, Chan CW, Huang GH (2001) An intelligent decision support system for management of petroleum-contaminated sites. Expert Syst Appl 20:251–260
Hu ZY, Huang GH, Chan CW (2003) A fuzzy process controller for in situ groundwater bioremediation. Eng Appl Artif Intell 16:131–147
Huang C, Mayer AS (1997) Pump-and-treat optimization using well locations and pumping rates as decision variables. Water Resour Res 33(5):1001–1012
Jang J-SR (1993) ANFIS: adaptive-network-based fuzzy inference systems. IEEE Trans Syst Man Cybern 23(3):665–685
Jones L, Willis R, Yeh WW-G (1987) Optimal control of nonlinear groundwater hydraulics using differential dynamic programming. Water Resour Res 23(11):2097–2106
McKinney DC, Lin MD (1994) Genetic algorithm solution of groundwater-management models. Water Resour Res 30:1897–1906
Murray DM, Yakowitz SJ (1979) Constrained differential dynamic programming and its application to multireservoir control. Water Resour Res 15(5):1017–1027
Pinder GF (1978) Galerkin finite element models for aquifer simulation. Rep. 78-WR-5, Dept. of Civ. Eng., Princeton Univ., Princeton, NJ
Rao SVN, Thandaveswara BS, Bhallamudi SM et al. (2003) Optimal groundwater management in deltaic regions using simulated annealing and neural networks. Water Resour Manag 17(6):409–428
Rao SVN, Bhallamudi SM, Thandaveswara BS, Sreenivasulu V (2005) Planning groundwater development in coastal deltas with paleo channels. Water Resour Manag 19:625–639
Rogers LL, Dowla FU (1994) Optimization of groundwater remediation using artificial neural networks with parallel solute transport modeling. Water Resour Res 30:457–481
Spiliotis M, Tsakiris G (2007) Minimum cost irrigation network design using interactive fuzzy integer programming. J Irrigat Drain Eng-ASCE 133(3):242–248
Wang M, Zheng C (1998) Groundwater management optimization using genetic algorithms and simulated annealing: formulation and comparison. J Am Water Resour Assoc 34(3):519–530
Zadeh LA (1965) Fuzzy sets. Inf Control 8(3):338–353
Zheng CM, Wang PP (1999) An integrated global and local optimization approach for remediation system design. Water Resour Res 35:137–148
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Chu, HJ., Chang, LC. Application of Optimal Control and Fuzzy Theory for Dynamic Groundwater Remediation Design. Water Resour Manage 23, 647–660 (2009). https://doi.org/10.1007/s11269-008-9293-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11269-008-9293-1