Radius Of Well Given Discharge And Length Of Strainer Calculator

Formula Used:

\[ r = \frac{R_w}{10^{\frac{2.72 \times K_{soil} \times s_t \times (L + \frac{s_t}{2})}{Q}}} \]

Radius of Influence (R_w):

Coefficient of Permeability of Soil Particle (K_soil):

m/s

Total Drawdown in Well (s_t):

Length of Strainer (L):

Discharge (Q):

m³/s

Radius of Well (r):

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1. What is the Radius of Well Calculation?

The radius of well calculation determines the distance from the center of a well to its outer boundary based on various hydrogeological parameters. This is crucial for well design and groundwater extraction planning.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ r = \frac{R_w}{10^{\frac{2.72 \times K_{soil} \times s_t \times (L + \frac{s_t}{2})}{Q}}} \]

Where:

\( r \) — Radius of well (m)
\( R_w \) — Radius of influence (m)
\( K_{soil} \) — Coefficient of permeability of soil particle (m/s)
\( s_t \) — Total drawdown in well (m)
\( L \) — Length of strainer (m)
\( Q \) — Discharge (m³/s)

Explanation: The formula calculates the well radius by considering the relationship between the radius of influence, soil permeability, drawdown, strainer length, and discharge rate.

3. Importance of Well Radius Calculation

Details: Accurate well radius calculation is essential for proper well design, determining optimal pumping rates, and ensuring sustainable groundwater extraction without causing excessive drawdown or aquifer depletion.

4. Using the Calculator

Tips: Enter all values in appropriate units (meters for lengths, m/s for permeability, m³/s for discharge). All values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the radius of influence?
A: The radius of influence is the distance from the center of the well to the point where the drawdown curve meets the original water table level.

Q2: How does soil permeability affect well radius?
A: Higher soil permeability allows water to flow more easily to the well, potentially allowing for a smaller well radius to achieve the same discharge rate.

Q3: What is the significance of the strainer length?
A: The strainer length affects the intake area of the well and influences how water enters the well from the aquifer.

Q4: How does drawdown affect the calculation?
A: Greater drawdown increases the hydraulic gradient toward the well, which affects the flow dynamics and consequently the calculated well radius.

Q5: When is this calculation most applicable?
A: This calculation is particularly useful for designing extraction wells in unconfined aquifers and for planning groundwater development projects.