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Evaluating W ater Losses    85



                Infrastructure   Background   Reported   Unreported
                Component      Losses       Bursts    Bursts       UARL Total  Units
                Mains          2.87         1.75      0.77         5.4         gal/mi mains/
                                                                               d/psi of
                                                                               pressure
                Service lines,   0.112      0.007     0.030        0.15        gal/mi/d/psi of
                mains to curb                                                  pressure
                stop
                Underground    4.78         0.57      2.12         7.5         gal/mi u.g.
                pipes between                                                  pipe/d/psi of
                curb stop                                                      pressure
                and customer
                meters

               Source: Ref. 7.
               TABLE 7.2  Components of Unavoidable Annual Real Losses

                       “UARL Total” values, in the units shown in Table 7.2, provide a rational yet flex-
                    ible basis for predicting UARL values for a wide range of distribution systems. The
                    calculation takes into account length of mains, number of service lines, location of
                    customer meters relative to property line (curb stop), and average operating pres-
                    sure (leakage rate varies approximately linearly with pressure for most large sys-
                    tems).  An important aspect of Table 7.2 is the value assigned to unavoidable
                    “Background (undetectable real) Losses,” shown in Col. 2. These figures are based
                    on international data, from analysis of night flows in sectors just after all detectable
                    leaks and breaks have been located and repaired. This component of unavoidable
                    real losses does not appear to have been quantified previously in North American
                    practice, yet it accounts for at least 50 percent of the unavoidable real losses compo-
                    nents in Table 7.2. Estimates of background (undetectable) leakage following inten-
                    sive leak-detection surveys in small U.S. systems have been compared with IWA
                    unavoidable background loss predictions based on the Col. 2 of Table 7.2. Initial
                    comparisons are encouraging, and more comparisons are being actively sought.
                       There are many different ways to present the UARL equation. Figure 7.2 shows
                    UARL in gal/mi/d/psi of pressure (Y axis) plotted against density of service lines. The
                    large variation of unavoidable losses per mile of mains for different densities of service
                    lines shows why it is not recommended to use “per mile” for comparisons of real losses.
                    However, Fig. 7.2 can be used to estimate unavoidable annual real losses for any sys-
                    tem, as the following example shows.

                      Example  A water supply system has 60,000 service connections and 600 mi of mains (a connection
                      density of 100 service lines per mile of mains), and the average operating pressure is 70 psi. Calculate
                      the unavoidable annual real losses from Fig. 7.2 if the average distance of customer meters from the
                      curb stop is (a) 100 ft or (b) 20 ft.
                      Answer  At a connection density of 100 per mile of mains (X axis), from Fig. 7.2 the UARL is
                      (a)   34 gal/mi/d/psi of pressure × 70 psi = 2380 gal/mi/d × 600 mi = 1.43 mgd (for customer meters
                         100 ft from the curb stop); or
                      (b)   23 gal/mi/d/psi of pressure × 70 psi = 1610 gal/mi/d × 600 mi = 0.97 mgd (for customer meters
                         20 ft from the curb stop).
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