Area Of Well Given Time Interval Calculator

Formula Used:

\[ A = \frac{K0 \times Tr}{\ln\left(\frac{H1}{H2}\right)} \]

Proportionality Constant (K0):

Time Interval (Tr):

seconds

Drawdown at the Start of Recuperation (H1):

meters

Drawdown at a Time (H2):

meters

Area of the Well (A):

m²

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1. What is the Area of Well Calculation?

The Area of Well calculation determines the land area around a well that is influenced by pumping. This area represents the zone where groundwater levels are affected by the well's operation and is crucial for understanding the well's impact on the aquifer system.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ A = \frac{K0 \times Tr}{\ln\left(\frac{H1}{H2}\right)} \]

Where:

\( A \) — Area of the Well (m²)
\( K0 \) — Proportionality Constant (specific capacity of well)
\( Tr \) — Time Interval (seconds)
\( H1 \) — Drawdown at the Start of Recuperation (meters)
\( H2 \) — Drawdown at a Time (meters)
\( \ln \) — Natural logarithm function

Explanation: The formula calculates the area influenced by pumping based on the aquifer characteristics, time interval, and drawdown measurements during the recuperation phase.

3. Importance of Area Calculation

Details: Accurate area calculation is essential for groundwater management, well protection zone delineation, and understanding the extent of pumping influence on aquifer systems.

4. Using the Calculator

Tips: Enter all values with appropriate units. Ensure drawdown values are positive and H1 ≠ H2. The proportionality constant should be determined from aquifer tests.

5. Frequently Asked Questions (FAQ)

Q1: What is the proportionality constant (K0)?
A: The proportionality constant represents the specific capacity of the well, which is the discharge per unit drawdown. It characterizes both the aquifer properties and the well's efficiency.

Q2: Why is the natural logarithm used in this formula?
A: The natural logarithm accounts for the exponential relationship between drawdown and time in groundwater flow equations, particularly in unconfined aquifers.

Q3: What time units should be used?
A: Time should be consistent throughout the calculation. While seconds are used here, any time unit can be used as long as all time values use the same unit.

Q4: How accurate is this calculation?
A: The accuracy depends on the quality of input data and how well the aquifer conditions match the assumptions of the formula. Professional hydrogeological assessment is recommended for critical applications.

Q5: When is this calculation most applicable?
A: This calculation is most applicable for analyzing well performance during pumping tests and for determining the area of influence around production wells in homogeneous aquifers.