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CHAPTER 10






                                                Modelling Water Losses





                    Julian Thornton

                    Reinhard Sturm
                    George Kunkel, P.E.






               10.1 Introduction
                    Quantities of the various water loss volumes occurring in a water utility can be approxi-
                    mated by employing a mathematical representation, or model, of the loss values. Depend-
                    ing upon the type and nature of the apparent or real losses being modeled, a model can
                    be a simple spreadsheet of estimates of loss volumes attributed to a specific type of loss
                    occurrence, or it can be a complex set of calculations that rely upon a number of data
                    inputs to calculate a reliable quantity of loss. Models are an excellent tool to assist the
                    operator with the preparation of a water audit and water loss management planning;
                    however they should be used with care and due diligence. Models are not magic nor do
                    they give us hind sight or act as a crystal ball; they are only as good as the concepts they
                    employ, the data that is put into them, and the skill
                    and experience of the user; training in their use is
                    essential. So care should be taken to ensure that field   Good data in means good
                    data captured and coefficients and variables used rep-  data out!
                    resent real conditions as closely as may be necessary
                    for a result of required accuracy. If accountable data is
                    not available estimated data may be used, however,
                    the model should be notated with comments reflect-
                    ing the estimated inaccuracy for each component and
                    calculating the final weighted potential inaccuracy.   95% confidence limits is
                    Many industry standard water loss control models   used in order to assign confi-
                    now incorporate the use of 95% confidence limits,   dence to each input compo-
                    which are applied to each component of data input  nent and to calculate aggre-
                    and calculated for each component of data output.  gated confidence in the final
                    Further information on the use of 95% confidence lim- result.
                    its is covered in Chap. 7. This chapter presents exam-
                    ples of some basic water loss models.
                       Modeling flows in pipe networks and components of consumption has been an inte-
                    gral part of hydraulic network analysis modeling (hydraulic models) for over 30 years, but in

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