Discharge Passing Through Vertical Section Of Infiltration Gallery Calculator

Formula Used:

\[ Q = \frac{k \times (H^2 - H_o^2)}{2 \times L} \]

Coefficient of Permeability (k):

m/s

Height of Saturated Zone (H):

Depth of Water in Infiltration Gallery (Ho):

Distance Between IG and Source (L):

Discharge (Q):

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1. What is the Discharge Through Vertical Section Formula?

The discharge formula calculates the flow rate of water through a vertical section of an infiltration gallery. It's based on Darcy's law and accounts for the permeability of soil and the hydraulic gradient between the source and the infiltration gallery.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Q = \frac{k \times (H^2 - H_o^2)}{2 \times L} \]

Where:

\( Q \) — Discharge (m³/s)
\( k \) — Coefficient of Permeability (m/s)
\( H \) — Height of Saturated Zone (m)
\( H_o \) — Depth of Water in Infiltration Gallery (m)
\( L \) — Distance Between IG and Source (m)

Explanation: The formula calculates the flow rate based on the difference in hydraulic head between the source and the infiltration gallery, considering the soil's permeability characteristics.

3. Importance of Discharge Calculation

Details: Accurate discharge calculation is crucial for designing efficient infiltration galleries, ensuring adequate water supply, and preventing flooding or waterlogging issues in the surrounding area.

4. Using the Calculator

Tips: Enter all values in appropriate units (meters and meters per second). Ensure H > Ho for valid calculation. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the coefficient of permeability?
A: The coefficient of permeability describes how easily water moves through soil. Higher values indicate more permeable soils like sand, while lower values indicate less permeable soils like clay.

Q2: Why is the distance between IG and source important?
A: The distance affects the hydraulic gradient. Longer distances typically result in lower discharge rates due to increased flow resistance.

Q3: What are typical values for coefficient of permeability?
A: Values range from 10⁻² m/s for gravel to 10⁻⁹ m/s for clay. Sand typically ranges from 10⁻⁵ to 10⁻³ m/s.

Q4: When is this formula applicable?
A: This formula applies to steady-state flow conditions in homogeneous, isotropic soils with a constant water table.

Q5: What limitations does this formula have?
A: The formula assumes ideal conditions and may not account for soil heterogeneity, seasonal variations, or complex geological formations.