Radius Of Well For Discharge In Confined Aquifer With Base 10 Calculator

Formula Used:

\[ r = \frac{R_w}{10^{\frac{2.72 \times K_{swh} \times b \times (H_i - h_w)}{Q}}} \]

Radius of Influence:

Standard Coefficient of Permeability:

Thickness of Aquifer 1:

Initial Aquifer Thickness:

Depth of Water:

Discharge:

m³/s

Radius of Well:

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is the Radius of Well Calculation?

The radius of well calculation determines the distance from the center of a well to its outer boundary in a confined aquifer system. This parameter is essential for understanding the well's influence zone and designing efficient groundwater extraction systems.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ r = \frac{R_w}{10^{\frac{2.72 \times K_{swh} \times b \times (H_i - h_w)}{Q}}} \]

Where:

\( r \) — Radius of well (m)
\( R_w \) — Radius of influence (m)
\( K_{swh} \) — Standard coefficient of permeability
\( b \) — Thickness of aquifer 1 (m)
\( H_i \) — Initial aquifer thickness (m)
\( h_w \) — Depth of water (m)
\( Q \) — Discharge rate (m³/s)

Explanation: The formula calculates the well radius based on the aquifer properties and pumping conditions, using a base-10 logarithmic relationship.

3. Importance of Well Radius Calculation

Details: Accurate well radius determination is crucial for proper well design, estimating well efficiency, predicting drawdown patterns, and ensuring sustainable groundwater extraction without causing excessive drawdown or aquifer depletion.

4. Using the Calculator

Tips: Enter all values in appropriate units. Ensure that initial aquifer thickness is greater than water depth, and all values are positive numbers. The calculator provides results in meters.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of the radius of influence?
A: The radius of influence defines the area around the well where water levels are affected by pumping. It helps determine the spacing between wells to avoid interference.

Q2: How does permeability affect well radius?
A: Higher permeability allows water to flow more easily to the well, potentially allowing for a smaller well radius to achieve the same discharge rate.

Q3: What is the typical range for well radii?
A: Well radii typically range from 0.1 to 1.0 meters, depending on the aquifer properties, pumping requirements, and construction methods.

Q4: Why use base 10 in this formula?
A: The base-10 logarithmic scale is commonly used in hydrogeological calculations as it provides a convenient mathematical framework for representing the exponential relationships in groundwater flow.

Q5: Are there limitations to this calculation method?
A: This method assumes ideal aquifer conditions, homogeneous properties, and steady-state flow. Real-world conditions with heterogeneous aquifers or transient flow may require more complex modeling approaches.