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<br />" <br /> <br />. <br /> <br />. <br /> <br />2-1 <br /> <br />-0 <br /> <br />Program Procodure <br /> <br />N <br />CI) <br />~ <br /><= <br /> <br />MathematIcal method and theory <br /> <br />Given the average dally outflow and end of the day contents <br />for John Martin Reservoir, the inflow may be expressed as <br /> <br />1=0+.6.5 <br /> <br />(1)2 <br /> <br />Where <br /> <br />I = Inflow (also average for the day) <br />o = outflow <br />.6.5 = change in storage (contents). <br /> <br />The terms 0 and.6.5 are measured. The term I is therefore computed. <br />If the reservoir seepage losses are assumed to be negligible, <br />the evaporation may be indicated as a part of.6.5 by the relation <br /> <br />.6.5 = I -[O+(Ev)] (2) <br /> <br />which simplifies to <br /> <br />.6.5 =l-O-Ev <br /> <br />(2-1 ) <br /> <br />where <br /> <br />Ev = evaporation <br /> <br />It can be seen from equation 2 that the quantity [O+(Ev)] is <br />the total outflow. The quantity Ev is in additon to the measured <br />outflow. Beoause the quantity equivalent to the evaporation is <br />unaccounted for, the evaporation as quantified in equation 2-1 is <br />effected as a negative inflow. This can be exempiified under the <br />following special conditions: <br /> <br />a) <br />:.b) <br />hence c) <br /> <br />the evaporation is in excess of the actuai inflow <br />the change in storage is greater than the measured outflow <br />the inflow as computed by eq. 1 will be negative. <br /> <br />In reality, the seepage losses of John Martin Reservoir are <br />probably very smali when compared to the total water lost by <br />evaporation. The actual evaporation, therefore, can only be <br />accurately determined by the application of pan evaporation data to <br />compute total lake evaporation. <br /> <br />If the historical operation of John Martin Reservoir were <br />emuiated through a set of operating criteria or principles, it can <br />be seen from the above that the differences between actual <br />evaporation losses and those attributable to the operating criteria <br />will be small given the degree to which the operating criteria <br />emulate the historical operation. This would be true because the <br />evaporation of the conservation pool, assumed to be described <br />accurately in the term.6.S, is determined by the contents of the <br />conservation pool and the emulation desired will correspond to the <br />historical operation in the highest degree. <br /> <br />;j <br />