Height Of Saturated Zone Given Discharge Calculator

Formula Used:

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

Discharge (Q):

m³/s

Distance Between IG and Source (L):

Coefficient of Permeability (k):

m/s

Depth of Water in Infiltration Gallery (Hₒ):

Height of Saturated Zone (H):

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1. What is Height of Saturated Zone?

The Height of Saturated Zone is the height of the Ground level at the infiltration gallery which is considered at some distance from the source. It represents the elevation of the water table in the saturated zone of an aquifer.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( H \) — Height of saturated zone (m)
\( Q \) — Discharge rate (m³/s)
\( L \) — Distance between infiltration gallery and source (m)
\( k \) — Coefficient of permeability (m/s)
\( H_o \) — Depth of water in infiltration gallery (m)

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

3. Importance of Height of Saturated Zone Calculation

Details: Accurate calculation of the saturated zone height is crucial for groundwater management, well design, infiltration gallery planning, and understanding aquifer behavior in hydrogeological studies.

4. Using the Calculator

Tips: Enter discharge in m³/s, distance in meters, coefficient of permeability in m/s, and depth of water in meters. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is an infiltration gallery?
A: An infiltration gallery is a horizontal or nearly horizontal drain that collects groundwater from the surrounding aquifer.

Q2: How does coefficient of permeability affect the result?
A: Higher permeability values result in lower saturated zone heights, as water can move more easily through the soil.

Q3: What are typical values for coefficient of permeability?
A: Permeability values range from 10⁻² m/s for gravel to 10⁻⁹ m/s for clay, with most soils falling between 10⁻⁴ to 10⁻⁷ m/s.

Q4: When is this formula most applicable?
A: This formula is particularly useful for steady-state flow conditions in unconfined aquifers with horizontal flow towards infiltration galleries.

Q5: What are the limitations of this calculation?
A: The formula assumes homogeneous isotropic soil conditions and may not account for complex geological formations or transient flow conditions.