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                                                                                Chemical hydrogeology  83


                   An ionic balance error of less than 5% should be achiev-
                   able with modern analytical equipment and certainly
                   less than 10%. Larger errors are unacceptable and
                   suggest that one or more analyses are in error.
                     Various methods have been developed for the
                   visual inspection of hydrochemical data in order to
                   look for discernible patterns and trends. By grouping
                   chemical analyses it becomes possible to identify
                   hydrochemical facies and begin to understand the
                   hydrogeological processes that influence the ground-
                   water chemistry. The simplest methods include plot-
                   ting distribution diagrams, bar charts, pie charts,
                   radial diagrams and pattern diagrams (as presented
                   by Stiff 1951). Although these are easy to construct,
                   they are not convenient for graphical presentation of
                   large numbers of analyses and for this reason other
                   techniques are used including Schoeller (named after
                   Schoeller 1962), trilinear (Piper 1944) and Durov
                   (Durov 1948) diagrams.
                     The distribution diagram shown in Fig. 3.5 repres-
                                       +      −
                   ents concentrations of Na and Cl in groundwaters
                   of the Milk River aquifer system located in the south-
                   ern part of the Western Canadian Sedimentary Basin.
                   The Milk River aquifer is an artesian aquifer, one of
                   several sandstone units developed within a Tertiary–
                   Cretaceous section comprising mainly shale and
                   mudstones. The aquifer crops out in the southern
                   part where recharge occurs but in the northern part is
                   covered by up to 400 m of younger rocks. Ground-
                   water flow is generally northward with a significant
                   component of upward leakage through confining
                                         +     −
                   beds. Concentrations of Na and Cl are character-
                   ized by marked spatial variability and, as shown in                  +      −
                                                               Fig. 3.5 Distribution diagrams of (a) Na and (b) Cl
                   Fig. 3.5, are lowest in the south where most of the
                                                               concentrations in groundwaters from the Milk River aquifer
                   freshwater recharge occurs. An important feature is  system, Alberta. After Schwartz and Muehlenbachs (1979).
                   the marked northward tongue of fresh groundwater
                                            −
                                        −1
                   (delimited by the 100 mg L Cl contour) that coin-  crystalline rocks are silicates, and their chief cations
                                                                    2+   2+   +     +
                   cides with a well-developed zone of aquifer perme-  are Ca , Mg , Na and K . For North America, the
                   ability. This hydrochemical pattern is interpreted as a  principal weathering agent is carbonic acid, chiefly
                   broad zone of mixing that forms as meteoric recharge  from CO dissolved in the soil zone. Under these con-
                                                                      2
                   water flushes pre-existing more saline formation  ditions the water typically attains a Ca- or Na-HCO
                                                                                                        3
                   water (Schwartz & Muehlenbachs 1979).       composition. Variants of this general water type are
                     The Schoeller diagram visualizes concentrations as  due to major differences in the composition of the
                        −1
                   meq L (see Box 3.1 for a discussion of concentration  aquifer rock (Trainer 1988).
                   units). The example shown in Fig. 3.6 is for the chem-  To illustrate simple methods for presenting hydro-
                   istry of groundwater in crystalline rocks in which the  chemical data, Fig. 3.7 shows bar charts, pie charts, a
                   near-surface groundwater is typically recharged by  radial diagram and pattern diagrams for the major ion
                   rain and snowmelt. The rock-forming minerals in  analyses given in Table 3.4. These analyses are for the
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