Thickness Of Confined Aquifer Given Discharge In Confined Aquifer With Base 10 Calculator

Formula Used:

\[ bp = \frac{Q}{\frac{2.72 \times KWH \times (bw - hw)}{\log\left(\frac{Rw}{r}, 10\right)}} \]

Discharge (Q):

m³/s

Coefficient of Permeability (KWH):

m/s

Aquifer Thickness (bw):

Depth of Water (hw):

Radius of Influence (Rw):

Radius of well (r):

Aquifer Thickness During Pumping (bp):

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1. What is the Aquifer Thickness Calculation?

The calculation determines the thickness of a confined aquifer during pumping conditions using the discharge rate, permeability coefficient, aquifer characteristics, and well geometry parameters.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ bp = \frac{Q}{\frac{2.72 \times KWH \times (bw - hw)}{\log\left(\frac{Rw}{r}, 10\right)}} \]

Where:

\( bp \) — Aquifer Thickness During Pumping (m)
\( Q \) — Discharge rate (m³/s)
\( KWH \) — Coefficient of Permeability (m/s)
\( bw \) — Aquifer Thickness (m)
\( hw \) — Depth of Water (m)
\( Rw \) — Radius of Influence (m)
\( r \) — Radius of well (m)

Explanation: The formula calculates the effective aquifer thickness during pumping conditions based on the relationship between discharge, permeability, and geometric parameters.

3. Importance of Aquifer Thickness Calculation

Details: Accurate calculation of aquifer thickness during pumping is crucial for groundwater resource assessment, well design, and predicting the behavior of confined aquifers under extraction conditions.

4. Using the Calculator

Tips: Enter all values in appropriate units. Ensure that Radius of Influence is greater than Radius of well. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is a confined aquifer?
A: A confined aquifer is an aquifer that is bounded above and below by impermeable layers, creating pressure conditions that affect water flow.

Q2: Why is the logarithm base 10 used in this formula?
A: Base 10 logarithms are commonly used in hydrogeological calculations as they provide convenient scaling for the large range of values typically encountered.

Q3: What factors affect the coefficient of permeability?
A: The coefficient of permeability depends on the properties of the aquifer material, including grain size, sorting, porosity, and degree of saturation.

Q4: How is radius of influence determined?
A: Radius of influence is typically determined through field measurements, observation wells, or estimated based on pumping test data and aquifer characteristics.

Q5: What are typical values for these parameters?
A: Discharge rates vary from 0.001 to 1 m³/s, permeability from 10⁻⁹ to 10⁻³ m/s, aquifer thickness from 1 to 100+ meters, and well radii from 0.1 to 1 meter.