Coefficient Of Transmissibility Given Discharge In Confined Aquifer With Base 10 Calculator

Formula Used:

\[ \text{Coefficient of Transmissibility} = \frac{\text{Discharge}}{\frac{2.72 \times (\text{Aquifer Thickness} - \text{Depth of Water in Well})}{\log_{10}(\frac{\text{Radius of Influence}}{\text{Radius of well}})}} \]

Discharge (Q):

m³/s

Aquifer Thickness (bw):

Depth of Water in Well (hwell):

Radius of Influence (Rw):

Radius of well (r):

Coefficient of Transmissibility:

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1. What is Coefficient of Transmissibility?

The coefficient of transmissibility is defined as the rate of flow of water in gallons per day through a vertical strip of the aquifer. It represents the ability of an aquifer to transmit water through its entire saturated thickness.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

Discharge (Q) - Rate of flow of water (m³/s)
Aquifer Thickness (bw) - Thickness of the aquifer (m)
Depth of Water in Well (hwell) - Depth of water measured above impermeable layer (m)
Radius of Influence (Rw) - Distance from center of well to where drawdown meets original water table (m)
Radius of well (r) - Distance from center of well to its outer boundary (m)

3. Importance of Coefficient of Transmissibility

Details: The coefficient of transmissibility is crucial for groundwater resource assessment, well design, and predicting the behavior of aquifers under pumping conditions. It helps in determining the sustainable yield of wells and managing groundwater resources effectively.

4. Using the Calculator

Tips: Enter all values in appropriate units. Ensure that aquifer thickness is greater than depth of water in well, and all radius values are positive. The radius of influence should be greater than the radius of the well.

5. Frequently Asked Questions (FAQ)

Q1: What units are used for coefficient of transmissibility?
A: Typically measured in m²/s or gallons per day per foot width of aquifer.

Q2: How does aquifer thickness affect transmissibility?
A: Transmissibility increases with greater aquifer thickness as there's more cross-sectional area for water to flow through.

Q3: What is the significance of radius of influence?
A: It indicates how far the effects of pumping extend into the aquifer, affecting the drawdown cone around the well.

Q4: When is this formula applicable?
A: This formula is specifically for confined aquifers with base 10 logarithm and assumes certain idealized conditions.

Q5: What are typical values for coefficient of transmissibility?
A: Values can range from less than 100 m²/day for tight formations to over 10,000 m²/day for highly productive aquifers.