Depth Of Water In Well Given Discharge In Confined Aquifer With Base 10 Calculator

Formula Used:

\[ h_{well} = b_w - \frac{Q \cdot \log_{10}\left(\frac{R_w}{r}\right)}{2.72 \cdot K_w \cdot b_p} \]

Aquifer Thickness (b_w):

Discharge (Q):

m³/s

Radius of Influence (R_w):

Radius of well (r):

Coefficient of Permeability (K_w):

m/s

Aquifer Thickness During Pumping (b_p):

Depth of Water in Well (h_well):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Depth of Water in Well Calculation?

The Depth of Water in Well calculation determines the water level in a well during pumping in a confined aquifer. This is essential for understanding aquifer behavior and managing groundwater resources effectively.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ h_{well} = b_w - \frac{Q \cdot \log_{10}\left(\frac{R_w}{r}\right)}{2.72 \cdot K_w \cdot b_p} \]

Where:

\( h_{well} \) — Depth of Water in Well (m)
\( b_w \) — Aquifer Thickness (m)
\( Q \) — Discharge (m³/s)
\( R_w \) — Radius of Influence (m)
\( r \) — Radius of well (m)
\( K_w \) — Coefficient of Permeability (m/s)
\( b_p \) — Aquifer Thickness During Pumping (m)

Explanation: This formula calculates the water depth in a well by considering aquifer properties, pumping rate, and geometric factors using logarithmic relationships.

3. Importance of Depth of Water in Well Calculation

Details: Accurate calculation of water depth in wells is crucial for groundwater management, well design, pumping system optimization, and sustainable aquifer utilization.

4. Using the Calculator

Tips: Enter all values in appropriate units. Ensure all inputs are positive values. The calculator uses base-10 logarithms for the radius ratio calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of the 2.72 constant?
A: The constant 2.72 is approximately equal to Euler's number (e) and is used in the denominator of the equation to account for the exponential nature of groundwater flow.

Q2: How does radius of influence affect the calculation?
A: A larger radius of influence typically results in a lower water level in the well, as it indicates a broader area affected by pumping.

Q3: What is the difference between aquifer thickness and aquifer thickness during pumping?
A: Aquifer thickness is the total saturated thickness, while aquifer thickness during pumping accounts for any compression or changes that occur during the pumping process.

Q4: When is this calculation most accurate?
A: This calculation is most accurate for confined aquifers with steady-state conditions and homogeneous aquifer properties.

Q5: How does permeability affect water depth in the well?
A: Higher permeability typically results in less drawdown (higher water level) for the same pumping rate, as water can move more easily through the aquifer material.