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<br />5. HORTON'S METI~OD. <br /> <br />In the 1930's Robert E. Horton, a consulting Hydraulic Engineer, found that <br />infiltration capacity curves approximate the form: <br /> <br />Fp = Fc + ( Fa - Fc ) . e .. ( - k . t ) <br /> <br />(14) <br /> <br />where, <br /> <br />Fp = Infiltration rate in inches per hour <br />Fc = Minimum constant infiltration rate <br />Fa = Maximum infiltration rate <br />e = Napierian base <br />k = empirical constant <br />t = time from beginning of rainfall <br /> <br />In the Stor.m Water Management Model (SWMM), the Horton equation is used for <br />pervious areas. Additional parameters can be specified for initial abstractions for both <br />pervious and impervious areas. If the Maximum and minimum infiltration rates are set <br />equal in Horton's equation, a uniform infiltration rate is achieved. <br /> <br />6. GREEN-AMPT. <br /> <br />The Green-Ampt method expresses the relationship between cumulative infiltration <br />and Infiltration rate as: <br /> <br />F = wf . ( P - wc) I ( ( flk ) - 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 advantagel of the Green-Ampt method is that it gives a direct means for <br />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 ponding <br />occurs which is calculated as the time from the beginning of the storm to the time average <br />rainfall intensity is equal to the infiltration rate, and (2) estimation of the parameters is <br />difficult. Techniques have been developed to overcome the problem of determining <br />infiltration prior to poneling. For example, in the HEC1 program, equation (15) is used with <br />an infiltration rate equal to the average rainfall rate over the period prior to ponding to <br />determine the depth of infiltration prior to ponding, Once ponding occurs, equation (15) <br /> <br />Colorado Flood <br />Hydrowgy Manual <br /> <br />DRAFT <br /> <br />7.18 <br />