Radius of Influence given Ratio of Discharge with Base 10 Calculator

Radius of Influence Formula:

\[ r_i = r' \times 10^{\frac{(Q_s/Q_{ratio} \times b_p)}{(2.3 \times r')}} \]

Radius of Influence in Eviron. Engin.:

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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 Radius of Influence formula:

\[ r_i = r' \times 10^{\frac{(Q_s/Q_{ratio} \times b_p)}{(2.3 \times r')}} \]

Where:

\( r_i \) — Radius of Influence in Environmental Engineering (m)
\( r' \) — Radius of Well in Environmental Engineering (m)
\( Q_s/Q_{ratio} \) — Ratio of discharge (dimensionless)
\( b_p \) — Aquifer Thickness During Pumping (m)

Explanation: This formula calculates the radius of influence based on well characteristics and aquifer properties during pumping operations.

3. Importance of Radius of Influence Calculation

Details: Calculating the radius of influence is crucial for well field design, determining well interference effects, and assessing the extent of groundwater drawdown in aquifer systems.

4. Using the Calculator

Tips: Enter the radius of well in meters, ratio of discharge (dimensionless), and aquifer thickness during pumping in meters. All values must be positive numbers.

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 (transmissivity, storativity), duration of pumping, and well characteristics.

Q2: How does the ratio of discharge affect the radius of influence?
A: The ratio of discharge represents the relationship between spherical flow and radial flow components, which influences the extent of the cone of depression around the well.

Q3: What is typical range for radius of influence values?
A: Radius of influence can range from a few meters for low-yield wells in confined aquifers to several kilometers for high-yield wells in unconfined aquifers.

Q4: 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.

Q5: Are there limitations to this calculation method?
A: This method assumes idealized aquifer conditions and may need adjustment for complex geological settings, heterogeneous aquifers, or boundary conditions.