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                    44  Chapter 2  Water Sources: Surface Water
                                                               Surface area

                                           Elevation of water surface above reservoir bottom or above datum  Volume of water stored, V  a dH
                                                        Surface area a









                                                            V     a dH
                                                                                       Figure 2.10 Surface Area of a
                                                                                       Reservoir and Volume of Water
                                                         Storage volume                Stored

                                             For uniform contour intervals h (ft or m) and successive contour areas a 0 , a 1 , . . . , a n ,
                                                  2
                                                                                3
                                         (acre or m ), the volume V of water (acre-ft or m ) stored up to the nth contour is:
                                                        V   1>2 h [(a   a )   (a   a )  . . .   (a n–1    a )]
                                                                                                 n
                                                                       1
                                                                   0
                                                                             1
                                                                                 2
                                                                            n-1
                                                                    + a + 2    ab                             (2.8)
                                                        V   1>2 h aa 0  n   a
                                                                             1
                                             For general use, surface areas and volumes are commonly plotted against contour ele-
                                         vations as in Fig. 2.10. Note that volumes must be determined from the surface-area curve
                                         by planimetering the area enclosed between the curve and its ordinate.
                                             In reservoir operation, a small amount of water lies below the invert of the reservoir
                                         outlet. Constituting the dregs of the impoundage, this water is of poor quality. The associ-
                                         ated reduction in useful storage is offset, in general, by bank storage released from the soil
                                         as the reservoir is drawn down. Moreover, the water below the outlet sill does form a con-
                                         servation pool for fish and wildlife.
                                             Surface areas and volumes enter not only into the solution of hydrologic problems but
                                         also into the management of water quality, such as the control of algae by copper sulfate
                                         and destratification by pumping or aeration.


                    2.7  MANAGEMENT OF CATCHMENT AREAS
                                         The comparative advantage of developing surface rather than underground waters is offset,
                                         in large measure, by the unsteadiness of surface runoff, both in quantity and quality, and
                                         the recurrence of flow extremes. Those hydrologic factors that enter strongly into the de-
                                         velopment of surface water supplies must, therefore, be kept clearly in mind in their design
                                         and operation, with special reference to:

                                             1. The principles of selecting, preparing, and controlling catchment areas
                                             2. The choice and treatment of reservoir areas and the management of natural ponds
                                                and lakes as well as impounding reservoirs
                                             3. The siting, dimensioning, construction, and maintenance of necessary engineering
                                                works, including dams and dikes, intake structures, spillways, and diversion works.
                                                Also keep in mind that river systems may have to be developed for multiple pur-
                                                poses, not just for municipal uses.
                                             The gathering grounds for public water supplies vary in size from a few hundred acres
                                         to thousands of square miles, and in character from sparsely inhabited uplands to densely
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