Storage Coefficient Given Radius Of Elementary Cylinder Calculator

Storage Coefficient Formula:

\[ S = \frac{\frac{\delta V}{\delta t}}{-(-2 \pi r dr \frac{\delta h}{\delta t})} \]

Rate of Change of Volume (δV/δt):

cm³/s

Radius of Elementary Cylinder (r):

Change in Radius of Elementary Cylinder (dr):

Rate of Change of Height (δh/δt):

m/s

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 hydrogeology for understanding aquifer behavior and groundwater flow.

2. How Does the Calculator Work?

The calculator uses the Storage Coefficient formula:

\[ S = \frac{\frac{\delta V}{\delta t}}{-(-2 \pi r dr \frac{\delta h}{\delta t})} \]

Where:

\( S \) — Storage Coefficient
\( \frac{\delta V}{\delta t} \) — Rate of Change of Volume (cm³/s)
\( r \) — Radius of Elementary Cylinder (m)
\( dr \) — Change in Radius of Elementary Cylinder (m)
\( \frac{\delta h}{\delta t} \) — Rate of Change of Height (m/s)
\( \pi \) — Archimedes' constant (approximately 3.14159)

Explanation: The formula calculates the storage coefficient by relating the rate of volume change to the geometric properties of an elementary cylinder and the rate of height change.

3. Importance of Storage Coefficient Calculation

Details: Accurate storage coefficient estimation is essential for groundwater modeling, aquifer characterization, and predicting water level changes in response to pumping or recharge.

4. Using the Calculator

Tips: Enter all values in the specified units. Rate of Change of Volume in cm³/s, Radius and Change in Radius in meters, and Rate of Change of Height in m/s. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range of storage coefficient values?
A: Storage coefficient values typically range from 0.00001 to 0.001 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 the water released from storage due to aquifer compression and water expansion, while specific yield represents water released by drainage of pore spaces.

Q3: What factors affect storage coefficient values?
A: Storage coefficient values are influenced by aquifer compressibility, water compressibility, and aquifer thickness.

Q4: How is storage coefficient determined in field tests?
A: Storage coefficient is typically determined through pumping tests where drawdown data is analyzed using appropriate analytical solutions.

Q5: Why is the elementary cylinder approach used?
A: The elementary cylinder approach provides a simplified geometric model that helps derive relationships between various hydraulic parameters in aquifer systems.