Optimal time-varying pumping rates for groundwater remediation: Application of a constrained optimal control algorithm
- Cornell Univ., Ithaca, NY (United States)
A numerically efficient procedure is presented for computing optimal time-varying pumping rates for remediation of contaminated groundwater described by two-dimensional numerical models. The management model combines a pollutant transport model with a constrained optimal control algorithm. The transport model simulates the unsteady fluid flow and transient contamination dispersion-advection in a two-dimensional confined aquifer. A Galerkin's finite element method coupled with a fully implicit time difference scheme is applied to solve the groundwater flow and contaminant transport equations. The constrained optimal control algorithm employs a hyperbolic penalty function. Several sample problems covering 5-15 years of remediation are given to illustrate the capability of the management model to solve a groundwater quality control problem with time-varying pumping policy and water quality constraints. In the example, the optimal constant pumping rates are 75% more expensive than the optimal time-varying pumping rates, a result that supports the need to develop numerically efficient optimal control-finite element algorithms for groundwater remediation. 28 refs., 7 figs., 10 tabs.
- OSTI ID:
- 6879435
- Journal Information:
- Water Resources Research; (United States), Vol. 28:12; ISSN 0043-1397
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
54 ENVIRONMENTAL SCIENCES
DETOXIFICATION
MATHEMATICAL MODELS
GROUND WATER
QUALITY CONTROL
ENVIRONMENTAL TRANSPORT
GALERKIN-PETROV METHOD
PUMPING
CALCULATION METHODS
CONTROL
HYDROGEN COMPOUNDS
ITERATIVE METHODS
MASS TRANSFER
OXYGEN COMPOUNDS
WATER
990200* - Mathematics & Computers
540220 - Environment
Terrestrial- Chemicals Monitoring & Transport- (1990-)