Discharge Given Length Of Strainer Calculator

Formula Used:

\[ Q = \frac{2.72 \times KWH \times st \times (L + \frac{st}{2})}{\log(\frac{Rw}{r''})} \]

Coefficient of Permeability (KWH):

m/s

Total Drawdown (st):

Length of Strainer (L):

Radius of Influence (Rw):

Radius of Well (r''):

Discharge (Q):

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1. What is the Discharge Given Length of Strainer Formula?

The Discharge Given Length of Strainer formula calculates the rate of flow of liquid from a well based on permeability coefficient, drawdown, strainer length, and well geometry. It's essential in well hydraulics for determining well performance and aquifer characteristics.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Q = \frac{2.72 \times KWH \times st \times (L + \frac{st}{2})}{\log(\frac{Rw}{r''})} \]

Where:

\( Q \) — Discharge (m³/s)
\( KWH \) — Coefficient of Permeability in Well Hydraulics (m/s)
\( st \) — Total Drawdown in Well (m)
\( L \) — Length of Strainer (m)
\( Rw \) — Radius of Influence (m)
\( r'' \) — Radius of Well in Well Hydraulics (m)

Explanation: The formula accounts for the relationship between well geometry, aquifer properties, and the resulting discharge rate under specific drawdown conditions.

3. Importance of Discharge Calculation

Details: Accurate discharge calculation is crucial for well design, aquifer testing, groundwater resource management, and determining sustainable pumping rates for water supply systems.

4. Using the Calculator

Tips: Enter all values in appropriate units (meters and meters per second). Ensure all values are positive and non-zero. The radius of influence should be greater than the well radius for valid results.

5. Frequently Asked Questions (FAQ)

Q1: What is the coefficient of permeability?
A: The coefficient of permeability (KWH) describes how easily water moves through soil or rock. Higher values indicate more permeable materials.

Q2: How is total drawdown measured?
A: Total drawdown is the difference between the static water level and the pumping water level in a well during operation.

Q3: What is the radius of influence?
A: The radius of influence is the distance from the well center to where the drawdown becomes negligible, typically where the water table remains unaffected by pumping.

Q4: When is this formula most accurate?
A: This formula works best for confined aquifers with homogeneous properties and steady-state flow conditions.

Q5: What are typical values for well radius?
A: Well radii typically range from 0.1 to 0.5 meters for most water supply wells, though they can vary based on well construction methods.