Radial Distance From Well 2 Given Aquifer Constant Calculator

Formula Used:

\[ r_2 = r_1 \times 10^{\frac{2.72 \times T \times (s_1 - s_2)}{Q}} \]

Radial Distance at Observation Well 1 (r₁):

Aquifer Constant (T):

Drawdown in Well 1 (s₁):

Drawdown in Well 2 (s₂):

Discharge (Q):

m³/s

Radial Distance at Observation Well 2 (r₂):

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1. What is Radial Distance From Well 2 Given Aquifer Constant?

The Radial Distance from Well 2 Given Aquifer Constant calculation determines the radial distance at observation well 2 using the known parameters of radial distance at well 1, aquifer constant, drawdown values, and discharge rate. This is essential in hydrogeological studies for analyzing aquifer characteristics.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ r_2 = r_1 \times 10^{\frac{2.72 \times T \times (s_1 - s_2)}{Q}} \]

Where:

\( r_2 \) — Radial Distance at Observation Well 2 (m)
\( r_1 \) — Radial Distance at Observation Well 1 (m)
\( T \) — Aquifer Constant
\( s_1 \) — Drawdown in Well 1 (m)
\( s_2 \) — Drawdown in Well 2 (m)
\( Q \) — Discharge (m³/s)

Explanation: The formula calculates the radial distance at the second observation well based on the differences in drawdown and the aquifer's transmissivity properties.

3. Importance of Radial Distance Calculation

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

4. Using the Calculator

Tips: Enter all values in appropriate units (meters for distances, m³/s for discharge). Ensure all values are positive and discharge is greater than zero for valid calculations.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of the aquifer constant?
A: The aquifer constant (T) represents the transmissivity of the aquifer, indicating how easily water can move through the aquifer material.

Q2: Why is the difference in drawdown important?
A: The difference in drawdown (s₁-s₂) reflects the hydraulic gradient between the two observation wells, which drives groundwater flow.

Q3: What are typical ranges for these parameters?
A: Radial distances typically range from meters to kilometers, drawdown from centimeters to meters, and discharge from liters/second to cubic meters/second depending on the aquifer.

Q4: Are there limitations to this formula?
A: This formula assumes ideal conditions and homogeneous aquifers. Real-world applications may require adjustments for aquifer heterogeneity and boundary conditions.

Q5: When should this calculation be used?
A: This calculation is particularly useful in pumping test analysis, well interference studies, and groundwater modeling to determine the zone of influence of extraction wells.