- 2071 Bhadra · 8 marks
Reservoir capacity: rice, wheat, sugarcane
Short answer
For each crop, Q = A/D, volume = Q × B × 86400. Total field volume 336.37 Mm³. After 18% canal loss: 410.21 Mm³; after 14% reservoir loss: 476.99 Mm³. Reservoir capacity ≈ 476.99 million m³.
The base period, intensity of irrigation and duty of various crops under a canal irrigation system are given in the table below. Find the reservoir capacity if the canal losses are 18% and reservoir losses are 14%.
| Crop | Base periods (days) | Duty at the field (Ha/Cumecs) | Area under the crop (hectares) |
|---|---|---|---|
| Rice | 120 | 850 | 3000 |
| Wheat | 120 | 1700 | 4500 |
| Sugarcane | 360 | 750 | 5400 |
| Vegetables | 120 | 650 | 1200 |
| Cotton | 200 | 1300 | 2200 |
Given: canal loss = 18%, reservoir loss = 14%; area, base period and duty of each crop as in the table (the duty is at the field).
Method. For each crop, discharge needed at the field ; volume for the base period m. The losses are taken as a fraction of the water entering that part of the system, so field volume is divided by .
| Crop | Area (ha) | Duty (ha/cumec) | Q = A/D (cumec) | B (days) | Volume = Q x B x 86400 (Mm) |
|---|---|---|---|---|---|
| Rice | 3,000 | 850 | 3.529 | 120 | 36.593 |
| Wheat | 4,500 | 1,700 | 2.647 | 120 | 27.445 |
| Sugarcane | 5,400 | 750 | 7.200 | 360 | 223.949 |
| Vegetables | 1,200 | 650 | 1.846 | 120 | 19.141 |
| Cotton | 2,200 | 1,300 | 1.692 | 200 | 29.243 |
Total volume at the field: m
Allow canal loss (18%):
Allow reservoir loss (14%):
Answer: reservoir capacity 476.99 million m (0.4770 Gm).
✓ Answer checked by Claude Opus 5.5 (high effort)
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