Storage Coefficient Given Rate Of Change Of Volume Calculator

Storage Coefficient Formula:

\[ S = \frac{\frac{\delta V}{\delta t}}{-(-\frac{\delta h}{\delta t}) \times A_{aq}} \]

Rate of Change of Volume (δV/δt):

cm³/s

Rate of Change of Height (δh/δt):

m/s

Aquifer Area (A_aq):

m²

Storage Coefficient (S):

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1. What is Storage Coefficient?

The 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 key parameter in hydrogeology for understanding aquifer behavior and water storage characteristics.

2. How Does the Calculator Work?

The calculator uses the Storage Coefficient formula:

\[ S = \frac{\frac{\delta V}{\delta t}}{-(-\frac{\delta h}{\delta t}) \times A_{aq}} \]

Where:

\( S \) — Storage Coefficient (dimensionless)
\( \frac{\delta V}{\delta t} \) — Rate of Change of Volume (cm³/s)
\( \frac{\delta h}{\delta t} \) — Rate of Change of Height (m/s)
\( A_{aq} \) — Aquifer Area (m²)

Explanation: The formula calculates the storage coefficient by relating the rate of volume change to the rate of height change and aquifer area.

3. Importance of Storage Coefficient Calculation

Details: Accurate calculation of storage coefficient is crucial for groundwater modeling, aquifer characterization, and understanding water storage and release dynamics in hydrological systems.

4. Using the Calculator

Tips: Enter rate of change of volume in cm³/s, rate of change of height in m/s, and aquifer area in m². All values must be valid positive numbers.

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 volume of water an aquifer releases from storage per unit surface area per unit decline in hydraulic head, while specific yield refers to the volume of water drained by gravity per unit volume of aquifer.

Q3: What factors affect storage coefficient values?
A: Storage coefficient values are influenced by aquifer compressibility, water compressibility, and the elastic properties of the aquifer material.

Q4: When is storage coefficient measurement important?
A: Storage coefficient measurement is important in groundwater resource assessment, well field design, and predicting aquifer response to pumping or recharge.

Q5: Are there limitations to this calculation method?
A: This method assumes ideal aquifer conditions and may need adjustments for heterogeneous aquifers or complex geological settings.