Aquifer Thickness Given Confined Aquifer Discharge With Base 10 Calculator

Formula Used:

\[ bp = \frac{Q}{\frac{2.72 \times Kw \times st}{\log\left(\frac{Rw}{r}\right)}} \]

Discharge (Q):

m³/s

Coefficient of Permeability (Kw):

m/s

Total Drawdown in Well (st):

Radius of Influence (Rw):

Radius of Well (r):

Aquifer Thickness During Pumping (bp):

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1. What is Aquifer Thickness Calculation?

The Aquifer Thickness calculation determines the thickness of an aquifer during pumping conditions using the confined aquifer discharge formula with base 10 logarithm. This is essential for understanding aquifer characteristics and groundwater flow dynamics.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ bp = \frac{Q}{\frac{2.72 \times Kw \times st}{\log\left(\frac{Rw}{r}\right)}} \]

Where:

\( bp \) — Aquifer Thickness During Pumping (m)
\( Q \) — Discharge (m³/s)
\( Kw \) — Coefficient of Permeability (m/s)
\( st \) — Total Drawdown in Well (m)
\( Rw \) — Radius of Influence (m)
\( r \) — Radius of Well (m)
\( \log \) — Base 10 logarithm function

Explanation: This formula calculates the aquifer thickness by considering the discharge rate, permeability coefficient, drawdown, and geometric properties of the well system.

3. Importance of Aquifer Thickness Calculation

Details: Accurate aquifer thickness calculation is crucial for groundwater resource management, well design, pumping test analysis, and understanding aquifer storage capacity and transmissivity.

4. Using the Calculator

Tips: Enter all values in appropriate units (meters and meters per second). Ensure all input values are positive and valid. The radius of influence should be greater than the radius of the well for meaningful results.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of the 2.72 constant in the formula?
A: The constant 2.72 is derived from the conversion between natural logarithm and base 10 logarithm (2.3026) and other factors in the derivation of the confined aquifer equation.

Q2: When is this formula applicable?
A: This formula is specifically designed for confined aquifers under steady-state pumping conditions with base 10 logarithm calculations.

Q3: What are typical values for coefficient of permeability?
A: Permeability coefficients vary widely: clay (10⁻⁸-10⁻¹⁰ m/s), sand (10⁻³-10⁻⁵ m/s), gravel (10⁻¹-10⁻³ m/s). The specific value depends on aquifer material.

Q4: How is radius of influence determined?
A: Radius of influence is typically determined through pumping tests by observing the distance from the well where drawdown becomes negligible or meets the original water table.

Q5: Are there limitations to this equation?
A: This equation assumes homogeneous, isotropic aquifer conditions, steady-state flow, and fully penetrating wells. Results may vary in complex geological settings.