GATE CE 2023 Set 1 — Question 61
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Water Resources Engineering → Hydrology & Precipitation → Infiltration
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Question
In Horton’s equation fitted to the infiltration data for a soil, the initial infiltration capacity is mm/h; final infiltration capacity is mm/h; and the exponential decay constant is /h. Assuming that the infiltration takes place at capacity rates, the total infiltration depth (in mm) from a uniform storm of duration h is _______________________. (round off to one decimal place)
Correct answer
69.7 to 70.1
Solution
Horton's infiltration equation is given by:where:
= infiltration capacity at time
= initial infiltration capacity = mm/h
= final infiltration capacity = mm/h
= decay constant = /hThe total infiltration depth () for a duration h is the integral of the infiltration capacity over time:Substituting the given values:Rounding off to one decimal place, the total infiltration depth is mm.
= infiltration capacity at time
= initial infiltration capacity = mm/h
= final infiltration capacity = mm/h
= decay constant = /hThe total infiltration depth () for a duration h is the integral of the infiltration capacity over time:Substituting the given values:Rounding off to one decimal place, the total infiltration depth is mm.
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