Transmissivity About Given Storage Coefficient Calculator

Transmissivity Formula:

\[ T = \frac{S \times r^2}{2.25 \times t_0} \]

Storage Coefficient (S):

unitless

Distance from Pumping Well (r):

meters

Starting Time (t₀):

seconds

Transmissivity (T):

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1. What is Transmissivity?

Transmissivity is the rate at which groundwater flows horizontally through an aquifer or the degree to which a medium allows something, in particular electromagnetic radiation, to pass through it. It is a key parameter in hydrogeology for characterizing aquifer properties.

2. How Does the Calculator Work?

The calculator uses the transmissivity formula:

\[ T = \frac{S \times r^2}{2.25 \times t_0} \]

Where:

\( T \) — Transmissivity (m²/s)
\( S \) — Storage Coefficient (unitless)
\( r \) — Distance from Pumping Well (meters)
\( t_0 \) — Starting Time (seconds)

Explanation: This formula calculates the transmissivity of an aquifer based on the storage coefficient, distance from the pumping well, and the starting time of the aquifer test.

3. Importance of Transmissivity Calculation

Details: Accurate transmissivity estimation is crucial for groundwater resource management, well field design, contaminant transport modeling, and understanding aquifer response to pumping stresses.

4. Using the Calculator

Tips: Enter storage coefficient (unitless), distance from pumping well in meters, and starting time in seconds. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range of transmissivity values?
A: Transmissivity values can range from less than 1 m²/day for low-permeability aquifers to over 1000 m²/day for highly productive aquifers.

Q2: How does storage coefficient affect transmissivity?
A: The storage coefficient represents the aquifer's ability to release water from storage. Higher storage coefficients generally indicate greater water-yielding capacity, which influences transmissivity.

Q3: Why is distance from pumping well important?
A: The distance affects how quickly drawdown occurs and propagates through the aquifer, which is essential for accurate transmissivity calculations.

Q4: What are the limitations of this calculation method?
A: This method assumes ideal aquifer conditions, homogeneous properties, and may not account for boundary effects or anisotropy in real-world aquifers.

Q5: When should this calculation be used?
A: This calculation is particularly useful for initial aquifer characterization, pumping test analysis, and groundwater flow modeling in confined aquifers.