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f = fe + (fo – f)exp a) A plot of the infiltration curve obtained using Horton's equation is shown in the following figure. Prove that k = (S.-fJ/F' if F' is the area between the curve and the fe line as the time approaches infinity. Time (hr) b) A ring-infiltrometer was installed in a watershed and water levels in the ring were recorded in certain time intervals in a non-rainy day. Water was added up to its initial level (100 mm) if the level falls near 15 mm (Table 3-1). Use this data to determine the parameters (fo,fe and k) of Horton's equation. Table 3-1: Water levels in the ring-infiltrometer Water level (mm) Time Comment (hr:min) 0:00 100 1:00 60.5 2:00 29.7 3:00 5.0 Refilled 4:00 79.7 5:00 62.4 33,6 7:00 9:00 9.3 Refilled 11:00 77.8 13:00 56.8 15:00 36.2 17:00 16.0 Refilled 19:00 79.8 21:00 59.8 23:00 39.8 c) A rainfall hyetograph produced by observed rainfall records in this watershed is shown below. Use your answers in part b) to calculate and draw the excess rainfall hyetograph. Neglect the initial abstraction. 80 70 60 50 40 30 20 10 0:00 1:00 2:00 3.00 Time (hr:min) 4:00 5:00 6:00 (au/ww) ejujey /(in./hr)

f = fe + (fo – f)exp a) A plot of the infiltration curve obtained using Horton's equation is shown in the following figure. Prove that k = (S.-fJ/F' if F' is the area between the curve and the fe line as the time approaches infinity. Time (hr) b) A ring-infiltrometer was installed in a watershed and water levels in the ring were recorded in certain time intervals in a non-rainy day. Water was added up to its initial level (100 mm) if the level falls near 15 mm (Table 3-1). Use this data to determine the parameters (fo,fe and k) of Horton's equation. Table 3-1: Water levels in the ring-infiltrometer Water level (mm) Time Comment (hr:min) 0:00 100 1:00 60.5 2:00 29.7 3:00 5.0 Refilled 4:00 79.7 5:00 62.4 33,6 7:00 9:00 9.3 Refilled 11:00 77.8 13:00 56.8 15:00 36.2 17:00 16.0 Refilled 19:00 79.8 21:00 59.8 23:00 39.8 c) A rainfall hyetograph produced by observed rainfall records in this watershed is shown below. Use your answers in part b) to calculate and draw the excess rainfall hyetograph. Neglect the initial abstraction. 80 70 60 50 40 30 20 10 0:00 1:00 2:00 3.00 Time (hr:min) 4:00 5:00 6:00 (au/ww) ejujey /(in./hr)

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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f = fe + (fo – f)exp a) A plot of the infiltration curve obtained using Horton's equation is shown in the following figure. Prove that k = (S.-fJ/F' if F' is the area between the curve and the fe line as the time approaches infinity. Time (hr) b) A ring-infiltrometer was installed in a watershed and water levels in the ring were recorded in certain time intervals in a non-rainy day. Water was added up to its initial level (100 mm) if the level falls near 15 mm (Table 3-1). Use this data to determine the parameters (fo,fe and k) of Horton's equation. Table 3-1: Water levels in the ring-infiltrometer Water level (mm) Time Comment (hr:min) 0:00 100 1:00 60.5 2:00 29.7 3:00 5.0 Refilled 4:00 79.7 5:00 62.4 33,6 7:00 9:00 9.3 Refilled 11:00 77.8 13:00 56.8 15:00 36.2 17:00 16.0 Refilled 19:00 79.8 21:00 59.8 23:00 39.8 c) A rainfall hyetograph produced by observed rainfall records in this watershed is shown below. Use your answers in part b) to calculate and draw the excess rainfall hyetograph. Neglect the initial abstraction. 80 70 60 50 40 30 20 10 0:00 1:00 2:00 3.00 Time (hr:min) 4:00 5:00 6:00 (au/ww) ejujey /(in./hr)
Transcribed Image Text:f = fe + (fo – f)exp a) A plot of the infiltration curve obtained using Horton's equation is shown in the following figure. Prove that k = (S.-fJ/F' if F' is the area between the curve and the fe line as the time approaches infinity. Time (hr) b) A ring-infiltrometer was installed in a watershed and water levels in the ring were recorded in certain time intervals in a non-rainy day. Water was added up to its initial level (100 mm) if the level falls near 15 mm (Table 3-1). Use this data to determine the parameters (fo,fe and k) of Horton's equation. Table 3-1: Water levels in the ring-infiltrometer Water level (mm) Time Comment (hr:min) 0:00 100 1:00 60.5 2:00 29.7 3:00 5.0 Refilled 4:00 79.7 5:00 62.4 33,6 7:00 9:00 9.3 Refilled 11:00 77.8 13:00 56.8 15:00 36.2 17:00 16.0 Refilled 19:00 79.8 21:00 59.8 23:00 39.8 c) A rainfall hyetograph produced by observed rainfall records in this watershed is shown below. Use your answers in part b) to calculate and draw the excess rainfall hyetograph. Neglect the initial abstraction. 80 70 60 50 40 30 20 10 0:00 1:00 2:00 3.00 Time (hr:min) 4:00 5:00 6:00 (au/ww) ejujey /(in./hr)
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