Radial Distance Given Formation Constant S Calculator

Radial Distance Formula:

\[ d_{radial} = \sqrt{\frac{4 \times u \times T \times t_{days}}{F_c}} \]

Well Function Constant (u):

Formation Constant T:

m²/s

Time in Days:

days

Formation Constant for Unsteady Flow (Fc):

m²/s

Radial Distance (d_radial):

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1. What is Radial Distance?

Radial Distance is defined as the distance between the whisker sensor's pivot point to the whisker-object contact point. In hydrogeology, it represents the distance from a pumping well where drawdown is measured.

2. How Does the Calculator Work?

The calculator uses the radial distance formula:

\[ d_{radial} = \sqrt{\frac{4 \times u \times T \times t_{days}}{F_c}} \]

Where:

\( d_{radial} \) — Radial Distance (m)
\( u \) — Well Function Constant (-)
\( T \) — Formation Constant T (m²/s)
\( t_{days} \) — Time in Days (days)
\( F_c \) — Formation Constant for Unsteady Flow (m²/s)

Explanation: This formula calculates the radial distance based on formation constants and time, using a square root function to determine the distance.

3. Importance of Radial Distance Calculation

Details: Accurate radial distance calculation is crucial for determining the extent of influence of pumping wells, analyzing aquifer properties, and managing groundwater resources effectively.

4. Using the Calculator

Tips: Enter Well Function Constant, Formation Constant T, Time in Days, and Formation Constant for Unsteady Flow. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the Well Function Constant?
A: The Well Function Constant is a dimensionless parameter that depends on the specific well function being used in the analysis.

Q2: How is Formation Constant T different from Formation Constant Fc?
A: Formation Constant T represents transmissivity, while Formation Constant Fc represents storage coefficient in unsteady flow conditions.

Q3: What time units should be used?
A: Time should be entered in days, as the formula is designed for daily time increments.

Q4: Are there limitations to this equation?
A: This equation assumes homogeneous aquifer conditions and may be less accurate in complex geological settings with heterogeneous formations.

Q5: Can this calculator be used for all aquifer types?
A: The calculator is primarily designed for confined aquifers. For unconfined aquifers, additional corrections may be necessary.