Aquifer Thickness Given Depth Of Water In Two Wells Calculator

Formula Used:

\[ b_p = \frac{Q}{\frac{2.72 \times K_w \times (h_2 - h_1)}{\log_{10}(\frac{r_2}{r_1})}} \]

Discharge (Q):

m³/s

Coefficient of Permeability (K_w):

m/s

Depth of Water 2 (h₂):

Depth of Water 1 (h₁):

Radial Distance at Observation Well 2 (r₂):

Radial Distance at Observation Well 1 (r₁):

Aquifer Thickness During Pumping (b_p):

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1. What is Aquifer Thickness Calculation?

The Aquifer Thickness calculation determines the thickness of an aquifer during pumping operations using measurements from observation wells. This is crucial for understanding groundwater flow characteristics and aquifer properties.

2. How Does the Calculator Work?

The calculator uses the following formula:

\[ b_p = \frac{Q}{\frac{2.72 \times K_w \times (h_2 - h_1)}{\log_{10}(\frac{r_2}{r_1})}} \]

Where:

\( b_p \) — Aquifer thickness during pumping (m)
\( Q \) — Discharge rate (m³/s)
\( K_w \) — Coefficient of permeability (m/s)
\( h_2 \) — Depth of water in well 2 (m)
\( h_1 \) — Depth of water in well 1 (m)
\( r_2 \) — Radial distance at observation well 2 (m)
\( r_1 \) — Radial distance at observation well 1 (m)

Explanation: This formula calculates aquifer thickness based on the relationship between water levels in observation wells at different radial distances from the pumping well.

3. Importance of Aquifer Thickness Measurement

Details: Accurate aquifer thickness measurement is essential for groundwater resource management, well design, contaminant transport studies, and sustainable water extraction planning.

4. Using the Calculator

Tips: Enter all values in appropriate units. Ensure radial distances are measured accurately and water depths are measured from a consistent reference point. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of the 2.72 constant?
A: The constant 2.72 is derived from mathematical relationships in groundwater flow equations and represents a conversion factor in the formula.

Q2: How accurate is this calculation method?
A: This method provides good estimates for confined aquifers with homogeneous properties. Accuracy depends on proper measurement of all input parameters.

Q3: What if r2/r1 equals 1?
A: If radial distances are equal, the logarithm becomes zero, making the calculation invalid. Ensure proper well placement with different radial distances.

Q4: When should this calculation be used?
A: This calculation is particularly useful during pumping tests to determine aquifer properties and for designing optimal well spacing.

Q5: Are there limitations to this equation?
A: This equation assumes ideal conditions and may need adjustments for complex aquifer systems, heterogeneous materials, or unconfined aquifers.