Solutions
Concept:
ϕ – index:
t is defined as the ratio of total infiltration when rainfall excess occurs to the total rainfall excess time.
It represents the amount of rainfall that infiltrated into the ground or lost due to trapping etc.
In a hyetograph i.e. intensity v/s duration curve,
→ The area above φ –index is total runoff.
Total runoff = (excess rainfall intensity- φ index) × duration
ϕ = (Rainfall - Runoff )/ Duration
Calculation:
Given,
Area of catchment = 2 hectares = 2 × 108 cm2
Volume of water = 1180 m3 = 1180 × 106 cm3
Depth of water at outlet = Vol./Area
= 1180 × 106/ (2 × 108) = 5.9 cm
Total precipitation (P) is :
P = 0.5 × (1.0 + 2.5 + 4.4 + 3.8 + 2.0 + 0.5)
= 7.1 cm
w - index = (7.1 - 5.9)/3 = 0.4 cm/hr
As no reading is below 0.4 cm/hr
∴ Φ = 0.4 cm/hr
Trick:
Instead of using Different trials, it is good here to use the reverse approach and checking ϕ – index from options.