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                                                         Groundwater quality and contaminant hydrogeology  221


                   Table 6.4 Empirical correlations between
                                                Organic compound                    Study
                   log K  and log K  for non-class-
                     10 OC   10 OW
                   specific and class-specific organic
                                                Non class-specific:
                   compounds undergoing hydrophobic
                                                (a) log K  = 0.544 log K  + 1.377   Kenaga & Goring (1980)
                   sorption.                        10 OC      10 OW
                                                (b) log K  = 0.679 log K  + 0.663   Gerstl (1990)
                                                               10 OW
                                                    10 OC
                                                (c) log K  = 0.909 log K  + 0.088   Hassett et al. (1983)
                                                    10 OC
                                                               10 OW
                                                (d) log K  = 0.903 log K  + 0.094   Baker et al. (1997)
                                                    10 OC
                                                               10 OW
                                                Class-specific:
                                                (e) Chloro and methyl benzenes
                                                  log K  = 0.72 log K  + 0.49       Schwarzenbach & Westall (1981)
                                                              10 OW
                                                    10 OC
                                                (f) Benzene, PAHs
                                                  log K  = 1.00 log K  − 0.21       Karickhoff et al. (1979)
                                                              10 OW
                                                    10 OC
                                                (g) Polychlorinated biphenyls
                                                  log K  = 1.07 log K  − 0.98       Girvin & Scott (1997)
                                                    10 OC
                                                              10 OW
                                                (h) Aromatic amines
                                                  log K  = 0.42log K  + 1.49        Worch et al. (2002)
                                                              10 OW
                                                    10 OC
                   Hydrophobic sorption of non-polar organic compounds  and  K  values, as well as other physicochemical
                                                                    OW
                                                               properties of organic compounds, is provided by
                   Non-polar organic molecules, for example low mole-
                                                               Mackay et al. (1997). A number of empirical correla-
                   cular weight volatile organic compounds (VOCs),
                                                               tions are given in the literature with a selection
                   polycyclic aromatic hydrocarbons (PAHs), polychlo-
                                                               shown in Table 6.4. The partition coefficient, K , for
                   rinated benzenes and biphenyls (PCBs), and non-                                  d
                                                               application in the retardation equation (eq. 6.13) can
                   polar pesticides and herbicides, have a low solubility
                                                               now be normalized to the weight fraction organic
                   in water, itself a polar molecule (Section 3.2). These
                                                               carbon content of the sediment, f , assuming that
                   immiscible organic compounds tend to partition pre-                    OC
                                                               adsorption of hydrophobic substances occurs prefer-
                   ferentially into non-polar environments, for example
                                                               entially on to organic matter, as follows:
                   on to small quantities of solid organic carbon such as
                   humic substances and kerogen present as discrete  K d
                                                               K   =                              eq. 6.22
                   solids or as films on individual grains of soil, sediment  OC  f
                                                                     OC
                   and rock. The organic carbon content of sediments
                   varies depending on lithology and can range from   As shown in Table 6.4, a number of studies have pro-
                   a few per cent in the case or organic-rich alluvial  posed non-class-specific correlations between  K
                                                                                                      OC
                   deposits to less than one-tenth of a per cent for clean  and K  which should be applicable to many types of
                                                                    OW
                   sands and gravels. At low concentrations, the sorp-  solid organic carbon. However, as noted by Worch et
                   tion of non-polar compounds on to organic material  al. (2002), the parameters of the non-class-specific
                   can very often be modelled with a linear isotherm  compounds differ significantly and it is not clear
                   (eq. 6.16 with n = 1).                      which correlation is most reliable. Hence, these cor-
                     In order to provide a rapid assessment of the sorp-  relations which were obtained for different sediments
                   tion behaviour of solid organic carbon and to minim-  and thus different organic matter composition should
                   ize experimental work, it is useful to find empirical  only be used as first approximations to the sorption
                   correlations between K , the organic carbon-water  behaviour of specific compounds. For more exact
                                     OC
                   partition coefficient, and the properties of known  K  estimations, experimental determinations of the
                                                                OC
                   substances. In studies of sorption processes, it is also  log K  –log K  correlation, or column experiments
                                                                   OW     OC
                   useful to correlate K  with the octanol-water parti-  to determine the retardation coefficient and K , for
                                   OC                                                               d
                   tion coefficient, K  , a measure of hydrophobicity.  the substance class of interest are required. Currently,
                                 OW
                   Such an approach is possible given that the partition-  however, class-specific correlations exist only for a
                   ing of an organic compound between water and  limited number of substance classes.
                   organic carbon is not dissimilar to that between  As an example calculation of the application of the
                   water and octanol. An extensive compilation of K  hydrophobic sorption model, consider a sand aquifer,
                                                          OC
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