Radial Distance Of Well 1 Given Coefficient Of Transmissibility And Discharge Calculator

Formula Used:

\[ R1 = r2/10^{\frac{2.72 \times T_{envi} \times (h2 - h1)}{Q0}} \]

Radial Distance at Observation Well 2:

Coefficient of Transmissibility:

m²/s

Depth of Water 2:

Depth of Water 1:

Discharge at Time t=0:

m³/s

Radial Distance 1:

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1. What is the Radial Distance Formula?

The radial distance formula calculates the distance from a well to a point where the drawdown is observed, using the coefficient of transmissibility, discharge rate, and water depth measurements from observation wells.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ R1 = r2/10^{\frac{2.72 \times T_{envi} \times (h2 - h1)}{Q0}} \]

Where:

\( R1 \) — Radial Distance 1 (m)
\( r2 \) — Radial Distance at Observation Well 2 (m)
\( T_{envi} \) — Coefficient of Transmissibility (m²/s)
\( h2 \) — Depth of Water 2 (m)
\( h1 \) — Depth of Water 1 (m)
\( Q0 \) — Discharge at Time t=0 (m³/s)

Explanation: The formula calculates the radial distance from well 1 based on the transmissibility coefficient, water depth differences, and initial discharge rate.

3. Importance of Radial Distance Calculation

Details: Accurate radial distance calculation is crucial for determining the zone of influence of pumping wells, designing well fields, and managing groundwater resources effectively.

4. Using the Calculator

Tips: Enter all values in the specified units. Ensure radial distances, water depths, and discharge rates are positive values. The coefficient of transmissibility must be greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the coefficient of transmissibility?
A: The coefficient of transmissibility represents the ability of an aquifer to transmit water through its entire saturated thickness.

Q2: Why is the 2.72 constant used in the formula?
A: The constant 2.72 is derived from the natural logarithm base (e) and is used in the conversion between logarithmic forms in groundwater flow equations.

Q3: What are typical values for coefficient of transmissibility?
A: Values can range from 0.001 m²/s for tight formations to over 0.1 m²/s for highly productive aquifers.

Q4: How accurate is this calculation method?
A: The method provides good estimates for confined aquifers with homogeneous properties and steady-state conditions.

Q5: Can this formula be used for unconfined aquifers?
A: The formula is primarily designed for confined aquifers. For unconfined aquifers, additional corrections may be needed.