Cl. Huang et As. Mayer, PUMP-AND-TREAT OPTIMIZATION USING WELL LOCATIONS AND PUMPING RATES ASDECISION VARIABLES, Water resources research, 33(5), 1997, pp. 1001-1012
A new optimization formulation for dynamic groundwater remediation man
agement is developed by simultaneously using well locations and the co
rresponding pumping rates as the decision variables. The genetic algor
ithm is applied to search for optimal pumping rates and the discrete s
pace of well locations. The optimization model is applied to hypotheti
cal, three-dimensional, contaminated aquifer systems with homogeneous
and heterogeneous porous media properties. Optimal well locations and
pumping rates obtained with the moving-well model are less expensive t
han solutions obtained with a comparable fixed-well. model. Optimizati
on with a linear objective function formulation identifies some of the
optimal well locations obtained with a nonlinear formulation but resu
lts in higher pumping rates than the nonlinear formulation and ignores
the higher drawdowns produced in low-permeability areas. Optimal well
locations are found along the mass centerline of the contaminant plum
es and in high-permeability areas in the heterogeneous system. Dynamic
pumping rates and well locations produce more cost-effective solution
s relative to a static model. The well location search path and conver
gence behavior indicate that the genetic algorithm is an effective alt
ernative solution scheme and that well location optimization is more i
mportant than pumping rate optimization.