Depth Of Water In Gallery Given Discharge Calculator

Formula Used:

\[ H_o = \sqrt{H^2 - \frac{2 \cdot Q \cdot L}{k}} \]

Height of Saturated Zone (H):

Discharge (Q):

m³/s

Distance Between IG and Source (L):

Coefficient of Permeability (k):

m/s

Depth of Water in Infiltration Gallery (Hₒ):

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1. What is Depth of Water in Infiltration Gallery?

Depth of Water in Infiltration Gallery is defined as the depth of water which is considered inside the infiltration gallery. It's an important parameter in groundwater hydrology and civil engineering applications.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ H_o = \sqrt{H^2 - \frac{2 \cdot Q \cdot L}{k}} \]

Where:

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

Explanation: This formula calculates the depth of water in an infiltration gallery based on the height of the saturated zone, discharge rate, distance from source, and soil permeability coefficient.

3. Importance of Calculation

Details: Accurate calculation of water depth in infiltration galleries is crucial for designing efficient water collection systems, assessing groundwater resources, and planning sustainable water supply projects.

4. Using the Calculator

Tips: Enter all values in appropriate units (meters for length, m³/s for discharge). Ensure all values are positive and physically meaningful for accurate results.

5. Frequently Asked Questions (FAQ)

Q1: What is an infiltration gallery?
A: An infiltration gallery is an underground structure designed to collect groundwater by intercepting the water table or perched water bodies.

Q2: How is coefficient of permeability determined?
A: The coefficient of permeability is typically determined through field tests (pumping tests) or laboratory tests (permeameter tests) on soil samples.

Q3: What factors affect the accuracy of this calculation?
A: Soil heterogeneity, variations in water table, and accurate measurement of input parameters can affect calculation accuracy.

Q4: Can this formula be used for all soil types?
A: The formula is generally applicable but works best for homogeneous soils with consistent permeability characteristics.

Q5: What are typical values for coefficient of permeability?
A: Permeability coefficients vary widely: gravel (10⁻¹-10⁻² m/s), sand (10⁻³-10⁻⁵ m/s), clay (10⁻⁷-10⁻⁹ m/s), depending on soil composition.