Storage Coefficient Given Time At Which Steady Shape Conditions Develops Calculator

Storage Coefficient Formula:

\[ S = \frac{\tau \cdot t_c}{7200 \cdot r^2} \]

Transmissivity (τ):

m²/s

Time at Which Steady-shape Conditions Develop (t_c):

seconds

Distance from Pumping Well (r):

meters

Storage Coefficient (S):

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1. What is Storage Coefficient?

Storage Coefficient is the volume of water released from storage per unit decline in hydraulic head in the aquifer, per unit area of the aquifer. It is a crucial parameter in groundwater hydrology that helps understand the aquifer's water storage and release characteristics.

2. How Does the Calculator Work?

The calculator uses the Storage Coefficient formula:

\[ S = \frac{\tau \cdot t_c}{7200 \cdot r^2} \]

Where:

\( S \) — Storage Coefficient (dimensionless)
\( \tau \) — Transmissivity (m²/s)
\( t_c \) — Time at which Steady-Shape Conditions develop at the Outermost Observation Well (seconds)
\( r \) — Distance from Pumping Well to the point where drawdown occurs (meters)

Explanation: This formula calculates the storage coefficient based on aquifer transmissivity, the time required for steady-shape conditions to develop, and the distance from the pumping well.

3. Importance of Storage Coefficient Calculation

Details: Accurate calculation of storage coefficient is essential for groundwater modeling, well field management, and predicting aquifer response to pumping. It helps in determining the sustainable yield of aquifers and planning water resource management strategies.

4. Using the Calculator

Tips: Enter transmissivity in m²/s, time in seconds, and distance in meters. All values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range of storage coefficient values?
A: Storage coefficient typically ranges from 0.00001 to 0.3 for confined aquifers and 0.1 to 0.3 for unconfined aquifers.

Q2: How does storage coefficient differ from specific yield?
A: Storage coefficient represents water released from elastic storage in confined aquifers, while specific yield represents water drained by gravity in unconfined aquifers.

Q3: What factors affect the storage coefficient value?
A: The storage coefficient is affected by aquifer compressibility, water compressibility, and aquifer thickness.

Q4: Why is 7200 used in the denominator?
A: The constant 7200 is derived from unit conversion factors and ensures proper dimensional consistency in the formula.

Q5: When is this formula most applicable?
A: This formula is particularly useful for analyzing pumping test data and determining aquifer characteristics under steady-shape conditions.