Antecedent Moisture Conditions (AMC) are crucial in hydrology and soil science. They describe the level of moisture in the soil before a rainfall event occurs. This level significantly impacts how the soil will respond to future precipitation, affecting runoff and infiltration.
AMC is typically evaluated based on the total rainfall received over a specific preceding period. This allows engineers and hydrologists to categorize the soil's moisture state (e.g., dry, average, wet).
The standard definition for calculating AMC relies on the total rainfall recorded during the previous $5$ days. This period is considered representative of the recent moisture status of the soil.
Therefore, Antecedent Moisture Conditions (AMC) for a soil are defined based on the total rainfall that occurred during the previous $5$ days.
| Duration (minutes) | 5 | 10 | 20 | 30 | 40 | 60 |
| Maximum depth of rainfall (mm) | 16 | 24 | 39 | 50 | 60 | 65 |
| Time from start of rainfall (min) | 0 | 20 | 40 | 60 | 80 | 100 |
|---|---|---|---|---|---|---|
| Cumulative rainfall (cm) | 0 | 0.5 | 1.2 | 2.6 | 3.3 | 3.5 |
The Curve Number (CN) of a watershed of $40$ ha area under given hydrologic soil group, land use and management practices, and Antecedent Moisture Condition (AMC)-II is $80$. The initial abstraction is $20$% of maximum retention. For the rainfall event of $40$ mm, the direct runoff in mm (round off to $2$ decimal places) is _____________