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<br />t = time from beginning of rainfall <br /> <br />In the Storm Water Management Model (SWMMI. the Horton equation <br />is used for pervious areas. Additional parameters can be specified for initial <br />abstractions for both pervious and impervious areas. If the Maximum and minimum <br />infiltration rates are set equal in Horton's equation, a uniform infiltration rate is <br />achieved. <br /> <br />7. GREEN-AMPT. <br /> <br />The Green-Ampt method expresses the relationship between cumulative <br />infiltration and infiltration rate as: <br /> <br />F = wf * ( P - wc) / ( ( f/k ) - 1 ) <br /> <br />(15) <br /> <br />where, <br /> <br />F = Cumulative infiltration <br />wf = wetted front suction <br />p = total porosity or water content at saturation <br />wc = initial water content <br />f = infiltration rate <br />k = hydraulic conductivity <br /> <br />An advantage of the Green-Ampt method is that it gives a direct means <br />for including the initial soil moisture condition through the parameters wf and wc. <br />Disadvantages in applying the method are that (1) it is not applicable until surface <br />ponding occurs which is calculated as the time from the beginning of the storm to the <br />time average rainfall intensity is equal to the infiltration rate, and (2) estimation of the <br />parameters is difficult. Techniques have been developed to overcome the problem of <br />determining infiltration prior to ponding. For example, in the HEC1 program, equation <br />(15) is used with an infiltration rate equal to the average rainfall rate over the period <br />prior to ponding to determine the depth of infiltration prior to ponding. Once ponding <br />occurs, equation (15) is .integrated to obtain the post-ponding infiltration function <br />which is expressed mathematically as follows: . <br /> <br />(F/Sf) -In(1 + (F/Sf)) = (K/Sf)*(t+te+tp) <br /> <br />(16) <br /> <br />where, <br /> <br />te = (Sf/K)*(Fp/Sf)-ln(1 + Fp/Sf))) <br /> <br />(17) <br /> <br />Sf = Product of wetting front suction and soil moisture <br />deficit at the beginning of storm ( wf * (p-wc) ) <br />t = time in hours <br />tp = ponding time in hours <br /> <br />7-7 <br />