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Transmissibility About Straight-Line Slope Calculator

Formula Used:

\[ T = \frac{2.302 \times Q}{4 \times \pi \times m} \]

m³/s
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1. What is Transmissibility About Straight-Line Slope?

Transmissibility is most simply defined as the effective hydraulic conductivity of an aquifer or other water-bearing unit multiplied by the thickness of that unit. It represents the ability of an aquifer to transmit water throughout its entire saturated thickness.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ T = \frac{2.302 \times Q}{4 \times \pi \times m} \]

Where:

Explanation: This formula calculates transmissibility based on discharge and slope values, using the constant 2.302 and Archimedes' constant π.

3. Importance of Transmissibility Calculation

Details: Accurate transmissibility calculation is crucial for groundwater flow analysis, aquifer characterization, and designing effective water extraction systems. It helps in understanding how easily water can move through subsurface materials.

4. Using the Calculator

Tips: Enter discharge in cubic meters per second (m³/s) and slope (dimensionless). Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of the constant 2.302 in the formula?
A: The constant 2.302 is used in the conversion from natural logarithm to base-10 logarithm, which is commonly used in hydraulic calculations.

Q2: What are typical transmissibility values for different aquifer types?
A: Transmissibility values vary widely - from less than 0.1 m²/day for clay aquitards to over 1000 m²/day for highly productive sand and gravel aquifers.

Q3: How does transmissibility differ from hydraulic conductivity?
A: Hydraulic conductivity is a property of the material itself, while transmissibility is hydraulic conductivity multiplied by the saturated thickness of the aquifer.

Q4: What factors can affect transmissibility measurements?
A: Factors include aquifer thickness, grain size distribution, degree of saturation, temperature, and the presence of fractures or conduits.

Q5: When is this straight-line slope method most appropriate?
A: This method is particularly useful for analyzing pumping test data when plotting residual drawdown versus time ratio on semi-log paper produces a straight line.

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