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In an aquifer extending over 200 Hectares, the water table was 20m below the ground level. The specific yield and specific retention of aquiter are 0.15 and 0.25 respectively. If due to rainfall the water table rises by 2m, calculate the change in storage of aquifer?
- a)40 ha m
- b)60 ha m
- c)100 ha m
- d)160 ha m
Correct answer is option 'B'. Can you explain this answer?
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Calculation of Change in Storage of Aquifer:
- Given Data:
- Area of aquifer (A) = 200 hectares = 200 * 10,000 m² = 2,000,000 m²
- Initial water table depth (H1) = 20 m
- Specific yield (Sy) = 0.15
- Specific retention (Sr) = 0.25
- Rise in water table depth due to rainfall (ΔH) = 2 m
- Calculations:
- Initial storage in aquifer (S1) = A * H1 = 2,000,000 m² * 20 m = 40,000,000 m³
- Final water table depth (H2) = H1 + ΔH = 20 m + 2 m = 22 m
- Final storage in aquifer (S2) = A * H2 = 2,000,000 m² * 22 m = 44,000,000 m³
- Change in storage (ΔS) = S2 - S1
= 44,000,000 m³ - 40,000,000 m³
= 4,000,000 m³
- Change in storage in hectares-meters (ΔS in ha m) = ΔS / 10,000
= 4,000,000 m³ / 10,000
= 400 ha m
Therefore, the change in storage of the aquifer due to the rise in water table by 2m is 400 hectares-meters, which is equivalent to 60 hectares (Option B).
- Given Data:
- Area of aquifer (A) = 200 hectares = 200 * 10,000 m² = 2,000,000 m²
- Initial water table depth (H1) = 20 m
- Specific yield (Sy) = 0.15
- Specific retention (Sr) = 0.25
- Rise in water table depth due to rainfall (ΔH) = 2 m
- Calculations:
- Initial storage in aquifer (S1) = A * H1 = 2,000,000 m² * 20 m = 40,000,000 m³
- Final water table depth (H2) = H1 + ΔH = 20 m + 2 m = 22 m
- Final storage in aquifer (S2) = A * H2 = 2,000,000 m² * 22 m = 44,000,000 m³
- Change in storage (ΔS) = S2 - S1
= 44,000,000 m³ - 40,000,000 m³
= 4,000,000 m³
- Change in storage in hectares-meters (ΔS in ha m) = ΔS / 10,000
= 4,000,000 m³ / 10,000
= 400 ha m
Therefore, the change in storage of the aquifer due to the rise in water table by 2m is 400 hectares-meters, which is equivalent to 60 hectares (Option B).
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In an aquifer extending over 200Hectares, the water table was 20mbelow the ground level. Thespecific yield and specific retentionof aquiter are 0.15 and 0.25respectively. If due to rainfall thewater table rises by 2m, calculatethe change in storage of aquifer?a)40 ha mb)60 ha mc)100 ha md)160 ha mCorrect answer is option 'B'. Can you explain this answer?
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