Radius Of Influence Given Discharge By Spherical Flow Calculator

Formula Used:

\[ Radius\ of\ Influence\ in\ Eviron.\ Engin. = Radius\ of\ Well\ in\ Eviron.\ Engin. \times \exp\left(\frac{\left(\frac{Discharge\ by\ Spherical\ Flow}{Discharge\ at\ Time\ t=0}\right) \times Aquifer\ Thickness\ During\ Pumping}{Radius\ of\ Well\ in\ Eviron.\ Engin.}\right) \]

Radius of Well in Eviron. Engin.:

Discharge by Spherical Flow:

m³/s

Discharge at Time t=0:

m³/s

Aquifer Thickness During Pumping:

Radius of Influence in Eviron. Engin.:

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Radius of Influence?

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 cone of depression created by pumping from a well.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Radius\ of\ Influence = Radius\ of\ Well \times \exp\left(\frac{\left(\frac{Discharge\ by\ Spherical\ Flow}{Discharge\ at\ Time\ t=0}\right) \times Aquifer\ Thickness}{Radius\ of\ Well}\right) \]

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 at the beginning of pumping (m³/s)
Aquifer Thickness During Pumping — Thickness of aquifer during pumping stage (m)

Explanation: This formula calculates the radius of influence based on well characteristics and flow conditions, using exponential relationship to determine the extent of the cone of depression.

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 safe pumping rates to avoid interference between adjacent wells.

4. Using the Calculator

Tips: Enter all values in appropriate units (meters for lengths, m³/s for discharge rates). All values must be positive numbers. Ensure accurate measurements for reliable results.

5. Frequently Asked Questions (FAQ)

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

Q2: How does spherical flow differ from radial flow?
A: Spherical flow occurs in partially penetrating wells or near well screens, while radial flow assumes full penetration and horizontal flow to the well.

Q3: When is this formula most applicable?
A: This formula is particularly useful for wells with spherical flow conditions, such as partially penetrating wells or wells in confined aquifers with limited screen length.

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 kilometers for high-capacity production wells in productive aquifers.

Q5: How does aquifer thickness affect the radius of influence?
A: Thicker aquifers generally result in larger radii of influence as they can provide more water to the well with less drawdown.