Time At Which Steady Shape Conditions Develop Calculator

Formula Used:

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

Time at Which Steady-shape Conditions Develop:

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Time at Which Steady-shape Conditions Develop?

Time at which Steady-Shape Conditions develop at the Outermost Observation Well refers to the time required for the groundwater flow system to reach a stable, equilibrium state after pumping begins in a well.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

Explanation: This formula calculates the time required for steady-state conditions to develop in an aquifer system based on the distance from the pumping well, storage characteristics, and transmissivity of the aquifer.

3. Importance of Time Calculation

Details: Calculating the time for steady-shape conditions to develop is crucial for groundwater modeling, well testing analysis, and determining when stable measurements can be taken during pumping tests.

4. Using the Calculator

Tips: Enter distance from pumping well in meters, storage coefficient (dimensionless), and transmissivity in m²/s. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What are typical values for storage coefficient?
A: Storage coefficient values typically range from 0.0001 to 0.3 for confined aquifers and 0.1 to 0.3 for unconfined aquifers.

Q2: How does distance affect the time calculation?
A: Time increases with the square of the distance, meaning doubling the distance quadruples the time required for steady conditions to develop.

Q3: What is transmissivity and how is it measured?
A: Transmissivity is the product of hydraulic conductivity and aquifer thickness, typically measured through pumping tests or laboratory analysis of aquifer samples.

Q4: When is this formula most applicable?
A: This formula is most applicable for homogeneous, isotropic aquifers where Theis assumptions hold true.

Q5: What are the limitations of this calculation?
A: The calculation assumes ideal aquifer conditions and may not account for aquifer heterogeneity, boundary effects, or complex geological settings.