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Cross-Sectional Area Of Well Given Discharge From Well Calculator

Formula Used:

\[ Cross-Sectional Area = \frac{Discharge}{Specific Capacity \times Constant Depression Head} \]
\[ A_{cs} = \frac{Q}{K_A \times H} \]

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m/s
m

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1. What is Cross-Sectional Area of Well?

The cross-sectional area of a well refers to the area of the well's horizontal cross-section, typically measured at the water surface level. It is a crucial parameter in hydrogeological calculations for determining well performance and groundwater flow characteristics.

2. How Does the Calculator Work?

The calculator uses the following formula:

\[ A_{cs} = \frac{Q}{K_A \times H} \]

Where:

Explanation: This formula calculates the cross-sectional area required to achieve a specific discharge rate given the well's specific capacity and the constant depression head maintained during pumping.

3. Importance of Cross-Sectional Area Calculation

Details: Accurate calculation of cross-sectional area is essential for well design, determining optimal well dimensions, estimating well yield, and designing efficient pumping systems for groundwater extraction.

4. Using the Calculator

Tips: Enter discharge in cubic meters per second, specific capacity in meters per second, and constant depression head in meters. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is specific capacity of a well?
A: Specific capacity is the discharge per unit drawdown, typically expressed as the well's yield per meter of drawdown (m³/s per m or m²/s).

Q2: What is constant depression head?
A: Constant depression head refers to the maintained drawdown or lowering of the water level in the well during pumping tests or operation.

Q3: How does cross-sectional area affect well performance?
A: Larger cross-sectional areas generally allow for higher discharge rates and more efficient water entry into the well, reducing entrance velocities and minimizing sand pumping.

Q4: When should this calculation be used?
A: This calculation is particularly useful during well design phase, well rehabilitation planning, and when assessing the relationship between well dimensions and expected yield.

Q5: Are there limitations to this equation?
A: This equation assumes ideal conditions and may need adjustment for wells with complex geometries, varying aquifer characteristics, or non-uniform flow conditions around the well.

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