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

Table 5

Bounds on state variables.

Constraint	Equation	Constraint
Stress period 1
1 (Lake stage)	8	25.1 ≤ lake stage ≤ 29.3 m
2 (Head 1 layer 1)	6	26.2 ≤ head 1 layer 1 ≤ 30.2 m
3 (Head 2 layer 1)	6	22.9 ≤ head 2 layer 1 ≤ 29 m
4 (Head 1 layer 2)	6	20.7 ≤ head 1 layer 2 ≤ 29 m
5 (Head 2 layer 2)	6	17.1 ≤ head 2 layer 2 ≤ 27.1 m
6 (Stream stage 1)	7	20.5 ≤ stream stage 1 ≤ 20.6 m
7 (Stream stage 2)	7	20.2 ≤ stream stage 2 ≤ 20.3 m
Stress period 2
8 (Lake stage)	8	21.9 ≤ lake stage ≤ 29.6 m
9 (Head 1 layer 1)	6	21.9 ≤ head 1 layer 1 ≤ 28 m
10 (Head 2 layer 1)	6	20.6 ≤ head 2 layer 1 ≤ 27.1 m
11 (Head 1 layer 2)	6	16.5 ≤ head 1 layer 2 ≤ 26.5 m
12 (Head 1 layer 2)	6	15.2 ≤ head 2 layer 2 ≤ 26.2 m
13 (Stream stage 1)	7	20 ≤ stream stage 1 ≤ 20.1 m
14 (Stream stage 2)	7	19.7 ≤ stream stage 2 ≤ 19.8 m
Stress period 3
15 (Lake stage)	8	22.6 ≤ lake stage ≤ 28 m
16 (Head 1 layer 1)	6	18.9 ≤ head 1 layer 1 ≤ 27.4 m
17 (Head 2 layer 1)	6	18.9 ≤ head 2 layer 1 ≤ 25.6 m
18 (Head 1 layer 2)	6	14.3 ≤ head 1 layer 2 ≤ 25.3 m
19 (Head 2 layer 2)	6	14.6 ≤ head 2 layer 2 ≤ 24.4 m
20 (Stream stage 1)	7	19.9 ≤ stream stage 1 ≤ 20 m
21 (Stream stage 2)	7	19.7 ≤ stream stage 2 ≤ 19.8 m