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218                                                  Soil and Water Contamination

                    according to a bivariate Gaussian  distribution with a mean of zero and standard deviation s of

                      2 D  t and  2 D  t for longitudinal and transverse dispersion, respectively (see above).
                        x           y

                    11.4  MULTI-FLUID FLOW
                    In some contamination problems two or more fluids are involved. Examples are groundwater
                    and organic liquids (dense non-aqueous phase liquids  (DNAPLs ) and light non-aqueous
                    phase liquids  (LNAPLs)) in the saturated zone, or air, water, and organic liquids in the
                      unsaturated zone. Problems involving transport of organic liquids are more complex than
                    transport of dissolved chemicals. The most important features of multi-fluid flow  include the
                    differences in densities of the fluids, their limited miscibility, and the interference with one
                    another during flow. If the organic liquid is less dense than water (LNAPLs), the liquid tends
                    to float on the water; if it is denser than water (DNAPLs), the liquid tends to sink. Figure
                    11.13 illustrates the behaviour of DNAPLs and LNAPLs in the unsaturated and saturated
                    zones.
                       When two immiscible fluids are in contact with a solid surface, one fluid will
                    preferentially spread over the solid surface at the expense of the other fluid. The fluid that
                    is most spread over the solid surface is called the ‘wetting fluid’, whereas the other fluid
                    the ‘non-wetting fluid’. The relative degree to which a fluid will spread on or coat the solid
                    surface is called the ‘wettability’ of the fluid. The wettability depends on the properties of the
                    fluids and the solid surface and reveals itself in the contact angle, i.e. the angle subtended
                    by the liquid–liquid interface and the solid surface (Figure 11.13). A fluid that produces a
                    contact angle of less than 90° is wetting relative to water and a fluid that produces a contact
                    angle of more than 90° is non-wetting relative to water. Fluids with contact angles ranging
                    between 70° and 110° are considered neutrally wetting (Anderson, 1986). In general, NAPLs

                              LNAPL                         DNAPL




                                                                                   e
                                                                                adose zone
                                                                                a
                                                                                     n
                                                                                  o
                                                                                  s
                                                                                 d

                                                                                    z
                                                                               V V
                                                                                     o
                                                                               Vadose zone e
                                                                                 a
                                                                              a
                                                                               t
                                                                               u
                                                                             S Saturated zone e
                                                                                r
                                                                             Saturated zone
                                                                                 t

                                                                                   d
                                                                                    z
                                                                                    o
                                                                                     n
                                                                                  e
                        o
                       r
                      Groundwater r
                      G Groundwater
                             t
                            a
                           w
                          d
                         u
                         n
                             e
                          i
                         d
                           r
                            c
                           e
                      fl flow direction
                      flow direction n
                       o

                        w
                             i
                             o
                            t
                                                                               e
                                                                              p
                                                                                    e
                                                                             m

                                                                                      y
                                                                                      e
                                                                                     l
                                                                                     a
                                                                            Impermeable layer r
                                                                                  b
                                                                                 e
                                                                                  a
                                                                            I Impermeable layer
                                                                                   l
                                                                               r
                                                                                m
                        NAPL        Dissolved contaminant plume  Vapour                     6642  6642  6642
                     Figure 11.13  Behaviour of LNAPLs  and DNAPLs  in the subsurface environment.
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