Answer :
The specific yield of the unconfined aquifer is 0.15 . Specific yield refers to the proportion of water released from an aquifer due to gravitational forces after it has been saturated.
Specific yield is a measure of the volume of water that an aquifer can release or yield under the influence of gravity. It represents the ratio of the volume of water that drains freely from the aquifer to the total volume of the aquifer.
The formula to calculate specific yield is:
Specific Yield = (Volume of water drained from the aquifer) / (Initial volume of water in the aquifer)
Given information:
Area of the unconfined aquifer = 36.6 acres
Drop in water level = 3 feet
Volume of water drained from the aquifer = 770,000 ft^3
Step 1: Convert the area from acres to square feet.
1 acre = 43,560 square feet
Area in square feet = 36.6 acres * 43,560 square feet/acre
Area in square feet = 1,590,216 square feet
Step 2: Calculate the initial volume of water in the aquifer using the area and the drop in water level.
Initial volume of water in the aquifer = Area * Drop in water level
Initial volume of water in the aquifer = 1,590,216 square feet * 3 feet
Initial volume of water in the aquifer = 4,770,648 ft^3
Step 3: Calculate the specific yield using the given volume of water drained.
Specific Yield = 770,000 ft^3 / 4,770,648 ft^3
Specific Yield ≈ 0.1615
Step 4: Round the specific yield to an appropriate number of significant digits.
Specific Yield ≈ 0.16 (rounded to two significant digits)
The specific yield of the unconfined aquifer is approximately 0.16. This means that the aquifer can release about 16% of its total volume of water under the influence of gravity. Knowing the specific yield is essential for understanding the potential water supply and groundwater availability in the aquifer, which has implications for water resource management and sustainable use of groundwater.
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