Radius Of Well Given Confined Aquifer Discharge With Base 10 Calculator

Formula Used:

\[ Radius\ of\ Well = \frac{Radius\ of\ Influence}{10^{\frac{2.72 \times Coefficient\ of\ Permeability \times Aquifer\ Thickness \times Total\ Drawdown}{Discharge}}} \]

Radius of Influence:

Coefficient of Permeability:

m/s

Aquifer Thickness During Pumping:

Total Drawdown in Well:

Discharge:

m³/s

Radius of Well:

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1. What is Radius of Well Calculation?

The radius of well calculation determines the distance from the center of a well to its outer boundary in environmental engineering applications. This parameter is crucial for understanding the well's influence zone and designing effective groundwater extraction systems.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Radius\ of\ Well = \frac{Radius\ of\ Influence}{10^{\frac{2.72 \times Coefficient\ of\ Permeability \times Aquifer\ Thickness \times Total\ Drawdown}{Discharge}}} \]

Where:

Radius of Influence - Distance from well center to where drawdown meets original water table (m)
Coefficient of Permeability - Soil's ability to transmit water (m/s)
Aquifer Thickness - Thickness of water-bearing formation during pumping (m)
Total Drawdown - Reduction in hydraulic head observed at the well (m)
Discharge - Rate of flow from the well (m³/s)

Explanation: The formula calculates the well radius based on the relationship between pumping characteristics and aquifer properties.

3. Importance of Well Radius Calculation

Details: Accurate well radius calculation is essential for designing efficient well systems, determining optimal pumping rates, assessing environmental impacts, and ensuring sustainable groundwater management practices.

4. Using the Calculator

Tips: Enter all values in appropriate units (meters for distances, m/s for permeability, m³/s for discharge). Ensure all values are positive and within realistic ranges for accurate results.

5. Frequently Asked Questions (FAQ)

Q1: Why is the coefficient 2.72 used in the formula?
A: The coefficient 2.72 is derived from empirical relationships and conversion factors that relate the various hydraulic parameters in the confined aquifer discharge equation.

Q2: What is a typical range for well radius values?
A: Well radius typically ranges from 0.1 to 1.0 meters, depending on the well construction and aquifer characteristics.

Q3: How does aquifer thickness affect the well radius calculation?
A: Thicker aquifers generally allow for larger well radii as they can sustain higher discharge rates with less drawdown.

Q4: When should this calculation be used?
A: This calculation is particularly useful for confined aquifers where the base 10 logarithmic relationship applies to the discharge characteristics.

Q5: Are there limitations to this equation?
A: This equation assumes homogeneous aquifer conditions, steady-state flow, and may be less accurate for unconfined aquifers or complex geological settings.