Radius Of Influence Given Ratio Of Discharge Calculator

Radius Of Influence Given Ratio Of Discharge Formula:

\[ r_i = r' \times \exp\left(\frac{Q_sQ_{ratio} \times b_p}{r'}\right) \]

Radius of Influence in Eviron. Engin. (r_i):

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1. What is Radius Of Influence Given Ratio Of Discharge?

Radius of Influence in Environmental Engineering is measured from the center of the well to the point where drawdown curve meets the original water table. This formula calculates the radius of influence based on well radius, discharge ratio, and aquifer thickness during pumping.

2. How Does the Calculator Work?

The calculator uses the Radius Of Influence Given Ratio Of Discharge formula:

\[ r_i = r' \times \exp\left(\frac{Q_sQ_{ratio} \times b_p}{r'}\right) \]

Where:

\( r_i \) — Radius of Influence in Eviron. Engin. (m)
\( r' \) — Radius of Well in Eviron. Engin. (m)
\( Q_sQ_{ratio} \) — Ratio of discharge (dimensionless)
\( b_p \) — Aquifer Thickness During Pumping (m)

Explanation: The formula calculates the radius of influence using exponential function to account for the relationship between well radius, discharge ratio, and aquifer thickness.

3. Importance of Radius of Influence Calculation

Details: Accurate calculation of radius of influence is crucial for well field design, groundwater management, and assessing the impact of pumping on surrounding aquifers.

4. Using the Calculator

Tips: Enter well radius in meters, ratio of discharge (dimensionless), and aquifer thickness during pumping in meters. All values must be valid (well radius > 0, ratio of discharge ≥ 0, aquifer thickness ≥ 0).

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of radius of influence?
A: Radius of influence helps determine the area affected by pumping from a well, which is important for well spacing and groundwater resource management.

Q2: How does discharge ratio affect the radius of influence?
A: Higher discharge ratios typically result in larger radii of influence, indicating a greater area affected by pumping.

Q3: What factors can affect the accuracy of this calculation?
A: Aquifer heterogeneity, boundary conditions, and temporal variations in pumping can affect the accuracy of radius of influence calculations.

Q4: Can this formula be used for confined and unconfined aquifers?
A: This specific formula is typically used for certain flow conditions. Consult hydrogeological references for appropriate formulas for different aquifer types.

Q5: How often should radius of influence be recalculated?
A: Radius of influence should be recalculated when pumping conditions change significantly or when new hydrogeological data becomes available.