Discharge per unit width of aquifers Calculator

✖The Piezometric Head at Upstream End refers to the specific measurement of liquid pressure above a vertical datum.ⓘ Piezometric Head at Upstream End [h_o]			+10% -10%
✖The Piezometric Head at Downstream End refers to the specific measurement of liquid pressure above a vertical datum.ⓘ Piezometric Head at Downstream End [h₁]			+10% -10%
✖The Length between Upstream and Downstream refers to the horizontal base with a difference in surface elevations.ⓘ Length between Upstream and Downstream [L_stream]			+10% -10%
✖The Coefficient of Permeability refers to the rate of flow of water under laminar flow conditions through a unit cross-sectional area of a porous medium under a unit hydraulic gradient.ⓘ Coefficient of Permeability [k]			+10% -10%
✖The Aquifer Thickness is referred as vertical distance between the top and bottom boundaries of an aquifer, typically measured in feet or meters.ⓘ Aquifer Thickness [b]			+10% -10%

✖The Discharge per Unit Width of Aquifer refers to the rate of total discharge in the channel to the width considered.ⓘ Discharge per unit width of aquifers [q]

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Formula

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Discharge per unit width of aquifers

Formula

q = (\frac{h o - h 1}{L stream}) \cdot k \cdot b

Example

29.9511 m³/s = (\frac{12 m - 5 m}{4.09 m}) \cdot 0.5 m/s \cdot 35 m

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Discharge per unit width of aquifers Solution

STEP 0: Pre-Calculation Summary

Formula Used

Discharge per Unit Width of Aquifer = ((Piezometric Head at Upstream End-Piezometric Head at Downstream End)/Length between Upstream and Downstream)*Coefficient of Permeability*Aquifer Thickness
q = ((h_o-h₁)/L_stream)*k*b
This formula uses 6 Variables

Variables Used

Discharge per Unit Width of Aquifer - (Measured in Cubic Meter per Second) - The Discharge per Unit Width of Aquifer refers to the rate of total discharge in the channel to the width considered.
Piezometric Head at Upstream End - (Measured in Meter) - The Piezometric Head at Upstream End refers to the specific measurement of liquid pressure above a vertical datum.
Piezometric Head at Downstream End - (Measured in Meter) - The Piezometric Head at Downstream End refers to the specific measurement of liquid pressure above a vertical datum.
Length between Upstream and Downstream - (Measured in Meter) - The Length between Upstream and Downstream refers to the horizontal base with a difference in surface elevations.
Coefficient of Permeability - (Measured in Meter per Second) - The Coefficient of Permeability refers to the rate of flow of water under laminar flow conditions through a unit cross-sectional area of a porous medium under a unit hydraulic gradient.
Aquifer Thickness - (Measured in Meter) - The Aquifer Thickness is referred as vertical distance between the top and bottom boundaries of an aquifer, typically measured in feet or meters.

STEP 1: Convert Input(s) to Base Unit

Piezometric Head at Upstream End: 12 Meter --> 12 Meter No Conversion Required
Piezometric Head at Downstream End: 5 Meter --> 5 Meter No Conversion Required
Length between Upstream and Downstream: 4.09 Meter --> 4.09 Meter No Conversion Required
Coefficient of Permeability: 0.5 Meter per Second --> 0.5 Meter per Second No Conversion Required
Aquifer Thickness: 35 Meter --> 35 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

q = ((h_o-h₁)/L_stream)*k*b --> ((12-5)/4.09)*0.5*35

Evaluating ... ...

q = 29.9511002444988

STEP 3: Convert Result to Output's Unit

29.9511002444988 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

29.9511002444988 ≈ 29.9511 Cubic Meter per Second <-- Discharge per Unit Width of Aquifer

(Calculation completed in 00.004 seconds)

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< Confined Groundwater Flow between Water Bodies Calculators

Coefficient of Permeability when Discharge is Considered

Go Coefficient of Permeability = Discharge per Unit Width of Aquifer*Length between Upstream and Downstream/((Piezometric Head at Upstream End-Piezometric Head at Downstream End)*Aquifer Thickness)

Aquifer Thickness when Discharge is Considered

Go Aquifer Thickness = Discharge per Unit Width of Aquifer*Length between Upstream and Downstream/((Piezometric Head at Upstream End-Piezometric Head at Downstream End)*Coefficient of Permeability)

Discharge per unit width of aquifers

Go Discharge per Unit Width of Aquifer = ((Piezometric Head at Upstream End-Piezometric Head at Downstream End)/Length between Upstream and Downstream)*Coefficient of Permeability*Aquifer Thickness

Equation of Hydraulic Grade Line in Confined Groundwater Flow

Go Piezometric Head = Piezometric Head at Upstream End-((Piezometric Head at Upstream End-Piezometric Head at Downstream End)/Length between Upstream and Downstream)*Flow in 'x' Direction

Discharge per unit width of aquifers Formula

What is Head in hydrology?

In fluid dynamics, head is a concept that relates the energy in an incompressible fluid to the height of an equivalent static column of that fluid. Velocity head is due to the bulk motion of a fluid (kinetic energy). Its pressure head correspondent is the dynamic pressure

How to Calculate Discharge per unit width of aquifers?

Discharge per unit width of aquifers calculator uses Discharge per Unit Width of Aquifer = ((Piezometric Head at Upstream End-Piezometric Head at Downstream End)/Length between Upstream and Downstream)*Coefficient of Permeability*Aquifer Thickness to calculate the Discharge per Unit Width of Aquifer, The Discharge per Unit Width of Aquifers formula is defined as the volumetric flow rate of water that is transported through a given cross-sectional area. Discharge per Unit Width of Aquifer is denoted by q symbol.

How to calculate Discharge per unit width of aquifers using this online calculator? To use this online calculator for Discharge per unit width of aquifers, enter Piezometric Head at Upstream End (h_o), Piezometric Head at Downstream End (h₁), Length between Upstream and Downstream (L_stream), Coefficient of Permeability (k) & Aquifer Thickness (b) and hit the calculate button. Here is how the Discharge per unit width of aquifers calculation can be explained with given input values -> 12.83619 = ((12-5)/4.09)*0.5*35.

FAQ

What is Discharge per unit width of aquifers?

The Discharge per Unit Width of Aquifers formula is defined as the volumetric flow rate of water that is transported through a given cross-sectional area and is represented as q = ((h_o-h₁)/L_stream)*k*b or Discharge per Unit Width of Aquifer = ((Piezometric Head at Upstream End-Piezometric Head at Downstream End)/Length between Upstream and Downstream)*Coefficient of Permeability*Aquifer Thickness. The Piezometric Head at Upstream End refers to the specific measurement of liquid pressure above a vertical datum, The Piezometric Head at Downstream End refers to the specific measurement of liquid pressure above a vertical datum, The Length between Upstream and Downstream refers to the horizontal base with a difference in surface elevations, The Coefficient of Permeability refers to the rate of flow of water under laminar flow conditions through a unit cross-sectional area of a porous medium under a unit hydraulic gradient & The Aquifer Thickness is referred as vertical distance between the top and bottom boundaries of an aquifer, typically measured in feet or meters.

How to calculate Discharge per unit width of aquifers?

The Discharge per Unit Width of Aquifers formula is defined as the volumetric flow rate of water that is transported through a given cross-sectional area is calculated using Discharge per Unit Width of Aquifer = ((Piezometric Head at Upstream End-Piezometric Head at Downstream End)/Length between Upstream and Downstream)*Coefficient of Permeability*Aquifer Thickness. To calculate Discharge per unit width of aquifers, you need Piezometric Head at Upstream End (h_o), Piezometric Head at Downstream End (h₁), Length between Upstream and Downstream (L_stream), Coefficient of Permeability (k) & Aquifer Thickness (b). With our tool, you need to enter the respective value for Piezometric Head at Upstream End, Piezometric Head at Downstream End, Length between Upstream and Downstream, Coefficient of Permeability & Aquifer Thickness and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Discharge per Unit Width of Aquifer?

In this formula, Discharge per Unit Width of Aquifer uses Piezometric Head at Upstream End, Piezometric Head at Downstream End, Length between Upstream and Downstream, Coefficient of Permeability & Aquifer Thickness. We can use 1 other way(s) to calculate the same, which is/are as follows -

Discharge per Unit Width of Aquifer = Cross-Sectional Area*Groundwater Velocity

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