Based on the information provided in Example 7.7.1, determine actual infiltration and runoff for each 5 min during the 8-hour storm using both Philip and Green-Ampt methods using R. Your program must determine actual infiltration, infiltration (rates and cumulative totals) and runoff (rates and cumulative totals) for each method. Save the results to a file. Plot actual infiltration and runoff vs. time (every 5-min) for each method. Assume runoff is precipitation minus actual infiltration. An example for actual infiltrate and runoff for one method is shown below.
What is the total precipitation (mm), infiltration (mm) and runoff (mm) for each method? Note, your values will be slightly different from the example because of the imposed 5-min time step. You must use a trial and error method to solve the Green-Ampt method. For this method, an acceptable error for time is 0.001 hours (see lecture for details).
Using your R results output file, create a table that lists: time (hr), P(mm/hr), f(mm/hr)-Philip, q(mm/hr)-Philip, Cumulative F(mm)-Philip, Cumulative Q(mm)-Philip, f(mm/hr)-GA, q(mm/hr)-GA, Cumulative F(mm)-GA, Cumulative Q(mm)-GA for times 1,2,3,4,5,6,7,8 hours (i.e., 10 columns, 9 rows including the header row).
Include your code, the two plots [i.e., f(t) and q(t) vs. time for each method], and Table(s) in one PDF. Provide an answer the above question in the PDF. Upload the PDF for HW4.
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