Time in Hours with Base 10 given Fine Sand Calculator

Formula Used:

\[ Time = \frac{2.303}{0.5} \times \log\left(\frac{Depression\ Head\ 1}{Depression\ Head\ 2}, 10\right) \]

Time:

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Time in Hours with Base 10 given Fine Sand?

This calculator determines the time required for fine sand based on depression head measurements using logarithmic base 10 calculations. It's commonly used in hydrogeology and soil mechanics for analyzing water table recovery.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Time = \frac{2.303}{0.5} \times \log\left(\frac{Depression\ Head\ 1}{Depression\ Head\ 2}, 10\right) \]

Where:

\( Depression\ Head\ 1 \) — Difference of water table level and water level in well when pumping stopped (Meter)
\( Depression\ Head\ 2 \) — Difference of water table level and water level in well when pumping stopped (Meter)
\( \log \) — Logarithmic function with base 10

Explanation: The formula calculates the time required based on the ratio of depression heads using logarithmic transformation to handle the exponential nature of water table recovery in fine sand.

3. Importance of Time Calculation

Details: Accurate time calculation is crucial for determining water table recovery rates, well efficiency analysis, and designing appropriate pumping schedules in hydrogeological studies.

4. Using the Calculator

Tips: Enter both depression head values in meters. Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: Why use base 10 logarithm in this calculation?
A: Base 10 logarithm is used because it provides a convenient scaling factor and is commonly used in hydrogeological calculations for water table recovery analysis.

Q2: What are typical values for depression heads?
A: Depression head values typically range from 0.5 to 30 meters, depending on the well characteristics and pumping conditions.

Q3: When should this calculation be used?
A: This calculation is specifically designed for fine sand conditions and should be used when analyzing water table recovery in aquifers composed primarily of fine sand.

Q4: Are there limitations to this formula?
A: This formula is specifically calibrated for fine sand conditions and may not be accurate for other soil types like clay, gravel, or coarse sand.

Q5: How accurate is this time calculation?
A: The calculation provides a theoretical estimate based on ideal conditions. Field measurements may vary due to local geological variations and other environmental factors.