Research Article

Optimizing Reservoir-Stream-Aquifer Interactions for Conjunctive Use and Hydropower Production

Table 5

Bounds on state variables.

ConstraintEquationConstraint

Stress period 1
 1 (Lake stage)825.1 ≤ lake stage ≤ 29.3 m
 2 (Head 1 layer 1)626.2 ≤ head 1 layer 1 ≤ 30.2 m
 3 (Head 2 layer 1)622.9 ≤ head 2 layer 1 ≤ 29 m
 4 (Head 1 layer 2)620.7 ≤ head 1 layer 2 ≤ 29 m
 5 (Head 2 layer 2)617.1 ≤ head 2 layer 2 ≤ 27.1 m
 6 (Stream stage 1)720.5 ≤ stream stage 1 ≤ 20.6 m
 7 (Stream stage 2)720.2 ≤ stream stage 2 ≤ 20.3 m

Stress period 2
 8 (Lake stage)821.9 ≤ lake stage ≤ 29.6 m
 9 (Head 1 layer 1)621.9 ≤ head 1 layer 1 ≤ 28 m
 10 (Head 2 layer 1)620.6 ≤ head 2 layer 1 ≤ 27.1 m
 11 (Head 1 layer 2)616.5 ≤ head 1 layer 2 ≤ 26.5 m
 12 (Head 1 layer 2)615.2 ≤ head 2 layer 2 ≤ 26.2 m
 13 (Stream stage 1)720 ≤ stream stage 1 ≤ 20.1 m
 14 (Stream stage 2)719.7 ≤ stream stage 2 ≤ 19.8 m

Stress period 3
 15 (Lake stage)822.6 ≤ lake stage ≤ 28 m
 16 (Head 1 layer 1)618.9 ≤ head 1 layer 1 ≤ 27.4 m
 17 (Head 2 layer 1)618.9 ≤ head 2 layer 1 ≤ 25.6 m
 18 (Head 1 layer 2)614.3 ≤ head 1 layer 2 ≤ 25.3 m
 19 (Head 2 layer 2)614.6 ≤ head 2 layer 2 ≤ 24.4 m
 20 (Stream stage 1)719.9 ≤ stream stage 1 ≤ 20 m
 21 (Stream stage 2)719.7 ≤ stream stage 2 ≤ 19.8 m