Radius of Influence Calculator

Formula

The formula to calculate the Radius of Influence (RoI) is:

\[ RoI = b \cdot \sqrt{\frac{K}{2N}} \]

Where:

\(RoI\) is the radius of influence
\(b\) is the thickness (meters)
\(K\) is the hydraulic conductivity (m/s)
\(N\) is the recharge rate (m/yr)

What is Radius of Influence?

A radius of influence is defined as the maximum distance at which drawdowns can be detected with usual measures. It is a critical parameter in hydrogeology and water resource management to understand the impact area around a pumping well or other water extraction system.

Example Calculation

Let's assume the following values:

Thickness (b) = 10 meters
Hydraulic Conductivity (K) = 0.0001 m/s
Recharge Rate (N) = 0.01 m/yr

Using the formula to calculate the Radius of Influence (RoI):

\[ RoI = b \cdot \sqrt{\frac{K}{2N}} = 10 \cdot \sqrt{\frac{0.0001}{2 \times 0.01}} = 10 \cdot \sqrt{0.005} \approx 0.71 \text{ meters} \]

The Radius of Influence (RoI) is approximately 0.71 meters.