Radius Of Influence Given Discharge By Spherical Flow With Base 10 Calculator

Formula Used:

\[ Radius\ of\ Influence\ in\ Eviron.\ Engin. = Radius\ of\ Well\ in\ Eviron.\ Engin. \times 10^{\frac{(Discharge\ by\ Spherical\ Flow/Discharge\ at\ Time\ t=0) \times Aquifer\ Thickness}{2.3 \times Radius\ of\ Well\ in\ Eviron.\ Engin.}} \]

Radius of Well in Eviron. Engin.:

Discharge by Spherical Flow:

m³/s

Discharge at Time t=0:

m³/s

Aquifer Thickness:

Radius of Influence in Eviron. Engin.:

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1. What is Radius of Influence in Environmental Engineering?

The Radius of Influence in Environmental Engineering is measured from the center of the well to the point where the drawdown curve meets the original water table. It represents the extent of the area affected by pumping from a well.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Radius\ of\ Influence = Radius\ of\ Well \times 10^{\frac{(Discharge\ by\ Spherical\ Flow/Discharge\ at\ Time\ t=0) \times Aquifer\ Thickness}{2.3 \times Radius\ of\ Well}} \]

Where:

Radius of Well — Distance from center of well to its outer boundary (m)
Discharge by Spherical Flow — Discharge for spherical flow in well (m³/s)
Discharge at Time t=0 — Initial rate of flow of liquid (m³/s)
Aquifer Thickness — Thickness of aquifer at midpoint between equipotential lines (m)

Explanation: This formula calculates the radius of influence based on well characteristics and flow properties using logarithmic scaling with base 10.

3. Importance of Radius of Influence Calculation

Details: Accurate calculation of radius of influence is crucial for well field design, groundwater management, contamination assessment, and determining the area affected by pumping activities.

4. Using the Calculator

Tips: Enter all values in appropriate units (meters for lengths, m³/s for discharge rates). Ensure all values are positive and valid (well radius > 0, initial discharge > 0).

5. Frequently Asked Questions (FAQ)

Q1: What factors affect the radius of influence?
A: The radius of influence is affected by aquifer properties, pumping rate, well characteristics, and duration of pumping.

Q2: How does spherical flow differ from radial flow?
A: Spherical flow occurs in partially penetrating wells where flow converges three-dimensionally, while radial flow assumes two-dimensional horizontal flow to a fully penetrating well.

Q3: When is this formula most applicable?
A: This formula is particularly useful for analyzing flow to partially penetrating wells in confined aquifers where spherical flow conditions prevail.

Q4: What are typical values for radius of influence?
A: Radius of influence can range from a few meters for low-yield wells to several hundred meters for high-capacity production wells, depending on aquifer properties.

Q5: How accurate is this calculation method?
A: The formula provides a reasonable estimate but actual field conditions may vary due to aquifer heterogeneity, boundary conditions, and other factors not accounted for in the simplified model.