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Optimal dynamic management of groundwater pollutant sources
Author(s) -
Gorelick Steven M.,
Remson Irwin
Publication year - 1982
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr018i001p00071
Subject(s) - groundwater , superposition principle , linear programming , groundwater flow , environmental science , matrix (chemical analysis) , pollution , parametric statistics , injection well , mathematical optimization , waste disposal , field (mathematics) , computer science , aquifer , environmental engineering , engineering , waste management , mathematics , mathematical analysis , ecology , statistics , materials science , geotechnical engineering , composite material , biology , pure mathematics
The linear programing‐superposition method is presented for managing multiple sources of groundwater pollution over time. The method uses any linear solute transport simulation model to generate a unit source‐concentration response matrix that is incorporated into a management model. This series of constraints indicates local solute concentration histories that will result from any series of waste injection schedules. The linear program operates on the matrix to arrive at optimal disposal schedules. An example demonstrates application of the method to maximizing groundwater waste disposal while maintaining water quality of local water supplies within desired limits. Flow field variations associated with waste injection are ignored as an approximation. Parametric programing is shown to be an important tool in evaluating waste disposal trade‐offs at various injection sites over time. Mixed‐integer programing permits restrictions to be placed upon the number of injection wells which may operate during given management periods.