Page 417 - Fundamentals of Water Treatment Unit Processes : Physical, Chemical, and Biological
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372                            Fundamentals of Water Treatment Unit Processes: Physical, Chemical, and Biological



            staff, working with consultants, reporting to regulatory agen-  through the appropriate pipes and channels. In modern plants,
            cies, interacting with city officials, and anticipating and min-  the tasks of opening and closing valves and measuring flows
            imizing problems whether looking ahead to new regulations  are accomplished by a SCADA system.
            or responding to unexpected exigencies in ambient water
            quality. This section reviews only the operation functions  12.5.2 FILTRATION HYDRAULICS
            that relate to the depth filtration process.
                                                               For R   1, the hydraulics of filters follows Darcy’s law,
              A sampling of the ubiquitous issues includes mud-balls,
                                                               v ¼ (k=m)   i, albeit at high filtration rates (R > 1 and
            air-binding of media, variable ambient water quality, unex-
            pected water quality events, ripening duration, backwash dur-  R   1) the ‘‘Forcheimer’’ relation, Equation E.3, i ¼ a F   v þ
                                                                   2
                                                               b F   v , applies. For a filter in clean-bed condition, the appli-
            ation, bacterial films on filter walls, and localized high
                                                               cation of Darcy’s law is straightforward and simple, that is,
            backwash velocities.
                                                               headloss is linear with distance. As the filter bed clogs with
                                                               solids, however, its intrinsic permeability changes with depth
            12.5.1 FILTER OPERATING CYCLE
                                                               and so the hydraulic gradient changes commensurately.
            Figure 12.38 illustrates four phases of operation:
                                                               12.5.2.1  Clean-Bed Headloss
              1. Filter-to-waste                               Theheadloss at the start ofthe filtrationcycle iscalledthe‘‘clean-
              2. Filtration                                    bed’’headloss.Theheadlossdependsonthesuperficialvelocity,v
              3. Draining filter for backwash                   (i.e., flow to filter bed divided by area of filter bed, sometimes
              4. Backwash                                      called hydraulic loading rate); the media (which determines the
                                                               clean-bed intrinsic permeability, k); headloss, Dh; bed depth,
            The transitions from one phase to the next involves opening  DZ; and the temperature, T (which affects viscosity, m);
            and closing the proper valves to direct the flow of water  that is, the variables in Darcy’slaw, v ¼ (kr w g=m)   (dh=dZ),


                                             Operating  floor                                    Operating  floor
                                                                                                       Distribution
                                                   Distribution
                                                    channel for                                        channel for
                                                                                                       pre-treated
                                                    pre-treated                                         water
                                                     water
                       Headwater                                          Headwater
                                               Butterfly                                           Butterfly
                     Washwater trough      A    valve                    Washwater trough     A     valve
                                                        Weir                                                Weir
                                         Gullet  Pipe gallery                               Gullet  Pipe gallery
                                               Backwash
                                                                                                   Backwash
                                                       Tail-water  storage                            Flow  Tail-water  storage
                                                 water                                               water
                       Filter media                      Treated          Filter media                      Treated
                                                          water
                                                                                                             water
                      Gravel support           C                          Gravel support          C   D meter
                                                                                              E
              Perforated under-drain lateral                      Perforated under-drain lateral
                                  Waste        Butterfly                             Waste         Butterfly
                                                       Flow
                                                                                                          Flow
            (a)                   water         valves  meter  (b)                   water          valves  meter
                                             Operating  floor                                    Operating  floor
                                                   Distribution                                        Distribution
                                                   channel for                                         channel for
                                                   pre-treated                                         pre-treated
                                                    water                                               water
                     Headwater-drained                                   Headwater-drained
                                               Butterfly                                           Butterfly
                     Washwater trough      A    valve                    Washwater trough      A    valve
                                                        Weir                                                Weir
                                        Gullet  Pipe gallery                                   Pipe gallery
                                                                                                   Backwash
                                               Backwash
                       Filter media              water   Treated        Filter media–expanded  Gullet   water  Treated
                                                   Flow  Tail-water  water                            Flow  Tail-water  water
                                                   meter  storage                                     meter  storage
                                                                                                  B
                      Gravel support           C  D                       Gravel support          C     D
                                          E                                                   E
              Perforated under-drain lateral                      Perforated under-drain lateral
                                  Waste        Butterfly                             Waste         Butterfly
             (c)                  water         valves          (d)                  water          valves
            FIGURE 12.38 Four phases of filter operation. (a) Filter-to-waste. (b) Filtering. (c) Draining headwater. (d) Backwash.
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