| OCR Text |
Show S T S M R SIR X , / , R<. di. A, t MaxOBJ = XXI^ PL1Mr m * X I 5 X « U * J= ii= iNV s* lm= lr= l s « l i « l r « l clu s s s c2 s r \ s + 2XF,+ XNAR. • Xci, T.' • I w A ) s- 1 s= l » « 1 $= 1 + S) R mGR- cl3 GRI m> + T,{ R. GR.- C15. GRC 7 ( 7.1) - fa-* \^ m m m m / A- W ^ 1 1 1 1 ^ m= l i= l where Rm is the unit revenue from the M& I yield for groundwater for area m, c l 3m, and c l 4 m are the coefficient and exponent of a relationship between annual cost and the yield GRJJ^ Rj is the unit revenue from the irrigation yield for groundwater for area i, cl5j, and cl6j are the coefficient and exponent of a relationship between annual cost and the yield GRi. s TJvf . < Y M* + 3rGR < TM" m= l.. M, r= l.. R ( 7.2) m, min JL^ sm r m m. max Tl" . < T Ir. + 3GR. < Tf i = l.. I, r= l.. R ( 7.3) i, min Amd si r 1 i, max ' v ' S= l where dT is 1 if r= l, and 0 otherwise. GR1 < GR £ GRU ( 7.4) m m m v ' GR1 < GR. < GRU ( 7.5) where GR^ GRm, GRj and GRm are lower and upper limits on the irrigation and M& I groundwater yields respectively. Reservoir storage capacities and other nonlinear functions are evaluated as in Chapter 5. Parametric applications of this model were performed with the Jordan River Basin data. As in Chapter 5, a single M& I demand area - Salt Lake City , with no irrigation, hydropower, flood control or recreation was considered. All parameters defined for the surface water applications for the Jordan River Basin were used here. The objective of the model applications was to minimize the total annual cost for meeting the annual demand. The parametric groundwater applications performed in Chapter 3 were extended to consider groundwater uniform demands for a period of 55 years, with the uniform annual demand for Salt Lake City increasing from 8,000 Acre- feet/ year to 40,000 Acre- feet year( in steps of 8,000 Acre- feet/ year) with corresponding increases in the pumpages at the other 9 water supply agencies in the county. The only decision variables used in the applications 165 |
