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                                                                           2.5 Loss by Evaporation, Seepage, and Silting  39


                                                     99.9                                           0.1
                                                                          146 MG once in 100 years  1 5
                                                                        137 MG once in 50 years
                                                  Percent of years in which required storage was equal to or less than stated magnitude  90  10 Percent of years in which required storage was equal to or greater than stated magnitude
                                                       99
                                                                     123 MG once in 20 years
                                                       95


                                                                                                    20
                                                       80
                                                       70
                                                                                                    30
                                                                                                    40
                                                       60
                                                       50
                                                                                                    50
                                                                                                    60
                                                       40
                                                                                                    70
                                                       30
                                                       20
                                                                                                    80
                                                       10
                                                                                                    95
                                                                                                    99
                                                        1 5              Straight line of best fit  90
                                                        0    20    40   60   80   100  120   140  160
                                                                         Storage, MG
                                                 Figure 2.8 Frequency Distribution of Required Storage Plotted on
                                                 Arithmetic-Probability Paper
                                                 Conversion factors: 1 MG   1,000,000 gal   3.785 ML   3,785,000 L

                                                                                                  2
                                                                                                             2
                                                25% reserve suggests a design storage of 123>0.75   164 MG/mi (230 ML/km ) of
                                                drainage area.




                    2.5  LOSS BY EVAPORATION, SEEPAGE, AND SILTING
                                         When an impounding reservoir is filled, the hydrology of the inundated area and its immedi-
                                         ate surroundings is changed in a number of respects: (a) The reservoir loses water by evapo-
                                         ration to the atmosphere and gains water by direct reception of rainfall; (b) rising and falling
                                         water levels alter the pattern of groundwater storage and movement into and out of the sur-
                                         rounding reservoir banks; (c) at high stages, water may seep from the reservoir through per-
                                         meable soils into neighboring catchment areas and so be lost to the area of origin; and (d)
                                         quiescence encourages subsidence of settleable suspended solids and silting of the reservoir.


                    2.5.1  Water-Surface Response
                                         The response of the new water surface is to establish new hydrologic equilibria (a)
                                         through loss of the runoff once coming from precipitation on the land area flooded
                                         by the reservoir Qa (closely), where Q is the areal rate of runoff of the original watershed,
                                          and a is the water surface area of the reservoir; and through evaporation from the water
                                          surface Ea, where E is the areal rate of evaporation; and (b) through gain of rainfall on the
                                         water surface Ra, where R is the areal rate of rainfall. The net rate of loss or gain is [R
                                         (Q   E)]a; a negative value records a net loss and a positive value a net gain.
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