Length About Discharge Per Unit Width Of Aquifer Calculator

Formula Used:

\[ L_{stream} = \frac{(h_o^2 - h_1^2) \times K}{2 \times Q} \]

Piezometric Head at Upstream End (h₀):

Piezometric Head at Downstream End (h₁):

Coefficient of Permeability (K):

m/s

Discharge (Q):

m³/s

Length between Upstream and Downstream:

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1. What is the Length About Discharge Per Unit Width Of Aquifer?

The Length between Upstream and Downstream refers to the horizontal base with a difference in surface elevations in aquifer systems. It is a crucial parameter in groundwater flow calculations and aquifer characterization.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ L_{stream} = \frac{(h_o^2 - h_1^2) \times K}{2 \times Q} \]

Where:

\( h_o \) — Piezometric Head at Upstream End (m)
\( h_1 \) — Piezometric Head at Downstream End (m)
\( K \) — Coefficient of Permeability (m/s)
\( Q \) — Discharge (m³/s)
\( L_{stream} \) — Length between Upstream and Downstream (m)

Explanation: This formula calculates the length between upstream and downstream points based on the difference in piezometric heads, soil permeability, and discharge rate.

3. Importance of Length Calculation

Details: Accurate length calculation is essential for designing groundwater extraction systems, analyzing aquifer properties, and predicting groundwater flow patterns in hydrogeological studies.

4. Using the Calculator

Tips: Enter piezometric heads in meters, coefficient of permeability in m/s, and discharge in m³/s. All values must be positive numbers with appropriate units.

5. Frequently Asked Questions (FAQ)

Q1: What is piezometric head?
A: Piezometric head refers to the hydraulic head measured in a piezometer, representing the height to which water would rise in the well above a specific datum.

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

Q3: What factors affect discharge in aquifers?
A: Discharge is affected by aquifer thickness, hydraulic gradient, permeability, and the cross-sectional area available for flow.

Q4: When is this formula applicable?
A: This formula is applicable for steady-state flow in confined aquifers with uniform properties and constant discharge.

Q5: What are typical values for coefficient of permeability?
A: Permeability values range from 10⁻¹² m/s for clay to 10⁻¹ m/s for gravel, depending on soil type and composition.