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106 C.W.W.NG AND Q.SHI


























            Figure 4.1 Variation of degree of saturation with depth during infiltration [9].

            downslope  flows,  rainfall  intensity,  or  most  importantly,  the  dependence  of
            water  permeability  on  moisture  content.  The  determination  of  S o  and  S f  is
            somewhat speculative (Brand [1]).
              For  achieving  saturation  of  the  soil  to  some  critical  depth  (z )  in  a  slope,
                                                                 w
            Pradel  and  Raad  [13]  postulated  that  the  rainfall  must  be  intense  enough  to
            exceed the infiltration rate of the soil and must last long enough to saturate the
            slope to that depth. They showed that the time (T ) necessary to saturate the soil
                                                   w
            to depth z  is:
                    w

                                                                         (4.2)


            where  θ s  and  θ 0  and  are  the  saturated  and  field  volumetric  water  content
            respectively,  k w  is  the  coefficient  of  hydraulic  conductivity  of  the  soil  in  the
            wetted zone, and C  is the wetting-front capillary suction. The infiltration rate v i
                           s
            at which water enters the soil surface is:

                                                                         (4.3)


            To  ensure  that  the  wetting  front  penetrates  to  a  depth  z ,  the  critical  rainfall
                                                           w
            duration and intensity must not be smaller than T  and v  respectively. It seems
                                                    w
                                                          i
            that  any  variations  of  water  permeability  in  the  unsaturated  soil  zone  are  not
            considered in this approach.
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