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<br /> <br />Cl <br />'-::J <br />N <br />I\) <br />'"""' <br />W <br /> <br />182 <br /> <br />depletions given in Table 5.10, the average inflow to Lake Powell is <br /> <br />1= 8.4 MAF/yr (10.4 km3/yr). At a target discharge Dt = 8.25 MAF/yr <br />3 <br />(10.2 km /yr) the time required to fill the 27 MAF reservoir can be <br /> <br />estimated as <br /> <br />(6.1) <br /> <br />S <br />I - Dt <br /> <br />27 <br /> <br />8.4 - 8.25 <br /> <br />= <br /> <br />180 years <br /> <br />= <br /> <br />Because reservoir discharge, evaporation, discharge TDS concentration, <br /> <br />and hydropower generating capacity all depend upon reservoir storage, <br /> <br />only reservoir storage was examined in determining a transient time <br /> <br />for model operations. <br /> <br />Using identical streamflow sequences and imposing the highest level <br /> <br />of stream depletions, two simulations of 200 years of observations <br /> <br />were made. In the first simulation the initial storages of both Lake <br /> <br />Powell and Lake Mead were set to their maximum values. In the second <br /> <br />simulation both reservoirs were given zero initial storage. The <br /> <br />transient time of the system was taken to be the number of years of <br /> <br />simulation required for the reservoir storages of the two runs to <br /> <br />coincide. <br /> <br />It was found that the time sequences of Lake Powell storage,coin- <br /> <br />cided after approximately 65 years. Roughly 125 years were required <br /> <br />for the sequences of Lake Mead storage to coincide. <br /> <br />A transient time of 150 years was used in all subsequent simu1a- <br /> <br />tions. <br /> <br />The long transient times observed are important in the context of <br /> <br />Colorado River Basin management. The result shows that substantial <br />