Length When Discharge Per Unit Width Of Aquifer Is Considered Calculator

Formula Used:

\[ L_{stream} = \frac{(h_o - h_1)}{q} \times k \times b \]

Piezometric Head at Upstream End (h_o):

Piezometric Head at Downstream End (h₁):

Discharge per Unit Width of Aquifer (q):

m³/s

Coefficient of Permeability (k):

m/s

Aquifer Thickness (b):

Length between Upstream and Downstream (L_stream):

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1. What is the Length When Discharge Per Unit Width Of Aquifer Is Considered Formula?

The Length When Discharge Per Unit Width Of Aquifer Is Considered formula calculates the distance between upstream and downstream points in an aquifer system based on piezometric head differences, discharge rate, permeability coefficient, and aquifer thickness. This calculation is essential for understanding groundwater flow dynamics.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ L_{stream} = \frac{(h_o - h_1)}{q} \times k \times b \]

Where:

\( L_{stream} \) — Length between Upstream and Downstream (m)
\( h_o \) — Piezometric Head at Upstream End (m)
\( h_1 \) — Piezometric Head at Downstream End (m)
\( q \) — Discharge per Unit Width of Aquifer (m³/s)
\( k \) — Coefficient of Permeability (m/s)
\( b \) — Aquifer Thickness (m)

Explanation: The formula calculates the horizontal distance between two points in an aquifer system by considering the head difference, flow rate, permeability characteristics, and aquifer dimensions.

3. Importance of Length Calculation

Details: Accurate calculation of the length between upstream and downstream points is crucial for groundwater modeling, contaminant transport studies, well field design, and understanding aquifer behavior under various hydrological conditions.

4. Using the Calculator

Tips: Enter all values in appropriate units (meters for length measurements, m³/s for discharge, m/s for permeability). Ensure piezometric head at upstream end is greater than at downstream end for meaningful results. All values must be positive.

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 a well connected to the point of measurement.

Q2: How is discharge per unit width defined?
A: Discharge per unit width refers to the volumetric flow rate of water through the aquifer divided by the width of the aquifer section being considered.

Q3: What factors affect the coefficient of permeability?
A: The coefficient of permeability depends on the properties of the porous medium, including grain size distribution, porosity, tortuosity, and fluid properties such as viscosity and density.

Q4: When is this formula most applicable?
A: This formula is most applicable for steady-state flow conditions in confined or unconfined aquifers with relatively uniform properties between the measurement points.

Q5: What are the limitations of this calculation?
A: The calculation assumes homogeneous aquifer properties, steady-state conditions, and may not account for complex geological features or transient flow conditions.