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Contaminated groundwater remediation design using simulation, optimization, and sensitivity theory: 1. Model development
Author(s) -
Ahlfeld David P.,
Mulvey John M.,
Pinder George F.,
Wood Eric F.
Publication year - 1988
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/wr024i003p00431
Subject(s) - aquifer , sensitivity (control systems) , groundwater , environmental remediation , groundwater remediation , transient (computer programming) , nonlinear system , groundwater flow , finite element method , galerkin method , mathematical optimization , environmental science , computer science , control theory (sociology) , engineering , mathematics , contamination , geotechnical engineering , control (management) , ecology , electronic engineering , biology , physics , structural engineering , quantum mechanics , artificial intelligence , operating system
The problem of designing contaminated groundwater remediation systems using hydraulic control is addressed. Two nonlinear optimization formulations are proposed which model the design process for the location and pump rates of injection and extraction wells in an aquifer cleanup system. The formulations are designed to find a pumping system which (1) removes the most contaminant over a fixed time period and (2) reduces contaminant concentration to specified levels by the end of a fixed time period at least cost. The formulations employ a two‐dimensional Galerkin finite element simulation model of steady state groundwater flow and transient convective‐dispersive transport. To make the optimization problems computationally tractable sensitivity theory is used to derive a general relationship for computing the derivatives of an arbitrary function of the simulation outputs with respect to model inputs. This relationship is then applied to the convective‐dispersive transport equation.