GATE CE 2017 Set 2 — Question 24
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Water Resources Engineering → Hydrology & Precipitation → Infiltration
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Question
The infiltration capacity of a soil follows the Horton's exponential model, . During an experiment, the initial infiltration capacity was observed to be . After a long time, the infiltration capacity was reduced to . If the infiltration capacity after was , the value of the decay rate constant, (in , up to two decimal places) is ___________
Correct answer
0.98 to 1
Solution
Horton's infiltration model is given by:
Where:
= infiltration capacity at time
= final constant infiltration capacity
= initial infiltration capacity
= decay constantGiven:
At , Substituting the values:
Taking natural logarithm on both sides:
Rounding to two decimal places, .
Where:
= infiltration capacity at time
= final constant infiltration capacity
= initial infiltration capacity
= decay constantGiven:
At , Substituting the values:
Taking natural logarithm on both sides:
Rounding to two decimal places, .
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