Discharge per Unit Width of Aquifer Calculator

✖Piezometric Head at Upstream End is defined as a specific measurement of liquid pressure above a vertical datum.ⓘ Piezometric Head at Upstream End [h_o]			+10% -10%
✖Piezometric Head at Downstream End is defined as a specific measurement of liquid pressure above a vertical datum.ⓘ Piezometric Head at Downstream End [h₁]			+10% -10%
✖The coefficient of permeability of a soil describes how easily a liquid will move through soil. It is also commonly referred to as hydraulic conductivity.ⓘ Coefficient of Permeability [K]			+10% -10%
✖Aquifer Thickness (at Midpoint between Equipotential lines) or otherwise is the thickness of aquifer in which the pore spaces of rock forming the aquifer may or may not be with water.ⓘ Aquifer Thickness [b]			+10% -10%
✖Length is the measurement or extent of something from end to end.ⓘ Length [L]			+10% -10%

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

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Formula

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Discharge per Unit Width of Aquifer

Formula

`"q" = ("h"_{"o"}-"h"_{"1"})*"K"*"b"/"L"`

Example

`"0.134615m³/s"=("12m"-"5m")*"0.5cm/s"*"15m"/"3.9m"`

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Discharge per Unit Width of Aquifer Solution

STEP 0: Pre-Calculation Summary

Formula Used

Discharge per unit width of aquifer = (Piezometric Head at Upstream End-Piezometric Head at Downstream End)*Coefficient of Permeability*Aquifer Thickness/Length
q = (h_o-h₁)*K*b/L
This formula uses 6 Variables

Variables Used

Discharge per unit width of aquifer - (Measured in Cubic Meter per Second) - Discharge per unit width of aquifer is the rate of total discharge in the channel to the width considered.
Piezometric Head at Upstream End - (Measured in Meter) - Piezometric Head at Upstream End is defined as a specific measurement of liquid pressure above a vertical datum.
Piezometric Head at Downstream End - (Measured in Meter) - Piezometric Head at Downstream End is defined as a specific measurement of liquid pressure above a vertical datum.
Coefficient of Permeability - (Measured in Meter per Second) - The coefficient of permeability of a soil describes how easily a liquid will move through soil. It is also commonly referred to as hydraulic conductivity.
Aquifer Thickness - (Measured in Meter) - Aquifer Thickness (at Midpoint between Equipotential lines) or otherwise is the thickness of aquifer in which the pore spaces of rock forming the aquifer may or may not be with water.
Length - (Measured in Meter) - Length is the measurement or extent of something from end to end.

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
Coefficient of Permeability: 0.5 Centimeter per Second --> 0.005 Meter per Second (Check conversion here)
Aquifer Thickness: 15 Meter --> 15 Meter No Conversion Required
Length: 3.9 Meter --> 3.9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

q = (h_o-h₁)*K*b/L --> (12-5)*0.005*15/3.9

Evaluating ... ...

q = 0.134615384615385

STEP 3: Convert Result to Output's Unit

0.134615384615385 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

0.134615384615385 ≈ 0.134615 Cubic Meter per Second <-- Discharge per unit width of aquifer

(Calculation completed in 00.004 seconds)

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Coorg Institute of Technology (CIT), Coorg

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< 4 Compressibility of Aquifers Calculators

Saturated thickness of aquifer when coefficient of storage for unconfined aquifer is considered

Go Saturated Thickness of Aquifer = (Storage Coefficient-Specific Yield)/((Unit Weight of Fluid/1000)*(Compressibility+Porosity of soil*Compressibility of Water))

Coefficient of Storage for Unconfined Aquifer

Go Storage Coefficient = Specific Yield+(Unit Weight of Fluid/1000)*(Compressibility+Porosity of soil*Compressibility of Water)*Saturated Thickness of Aquifer

Discharge per Unit Width of Aquifer

Go Discharge per unit width of aquifer = (Piezometric Head at Upstream End-Piezometric Head at Downstream End)*Coefficient of Permeability*Aquifer Thickness/Length

Barometric Efficiency given Compressibility Parameters

Go Barometric Efficiency = -((Porosity of soil*Compressibility of Water)/Compressibility+Porosity of soil*Compressibility of Water)

Discharge per Unit Width of Aquifer Formula

Discharge per unit width of aquifer = (Piezometric Head at Upstream End-Piezometric Head at Downstream End)*Coefficient of Permeability*Aquifer Thickness/Length
q = (h_o-h₁)*K*b/L

What is meant by Piezometric Head?

Hydraulic head or Piezometric Head is a specific measurement of liquid pressure above a vertical datum. In an aquifer, it can be calculated from the depth to water in a piezometric well (a specialized water well), and given information of the piezometer's elevation and screen depth.

How to Calculate Discharge per Unit Width of Aquifer?

Discharge per Unit Width of Aquifer calculator uses Discharge per unit width of aquifer = (Piezometric Head at Upstream End-Piezometric Head at Downstream End)*Coefficient of Permeability*Aquifer Thickness/Length to calculate the Discharge per unit width of aquifer, The Discharge per Unit Width of Aquifer 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 Aquifer using this online calculator? To use this online calculator for Discharge per Unit Width of Aquifer, enter Piezometric Head at Upstream End (h_o), Piezometric Head at Downstream End (h₁), Coefficient of Permeability (K), Aquifer Thickness (b) & Length (L) and hit the calculate button. Here is how the Discharge per Unit Width of Aquifer calculation can be explained with given input values -> 0.134615 = (12-5)*0.005*15/3.9.

FAQ

What is Discharge per Unit Width of Aquifer?

The Discharge per Unit Width of Aquifer 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)*K*b/L or Discharge per unit width of aquifer = (Piezometric Head at Upstream End-Piezometric Head at Downstream End)*Coefficient of Permeability*Aquifer Thickness/Length. Piezometric Head at Upstream End is defined as a specific measurement of liquid pressure above a vertical datum, Piezometric Head at Downstream End is defined as a specific measurement of liquid pressure above a vertical datum, The coefficient of permeability of a soil describes how easily a liquid will move through soil. It is also commonly referred to as hydraulic conductivity, Aquifer Thickness (at Midpoint between Equipotential lines) or otherwise is the thickness of aquifer in which the pore spaces of rock forming the aquifer may or may not be with water & Length is the measurement or extent of something from end to end.

How to calculate Discharge per Unit Width of Aquifer?

The Discharge per Unit Width of Aquifer 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)*Coefficient of Permeability*Aquifer Thickness/Length. To calculate Discharge per Unit Width of Aquifer, you need Piezometric Head at Upstream End (h_o), Piezometric Head at Downstream End (h₁), Coefficient of Permeability (K), Aquifer Thickness (b) & Length (L). With our tool, you need to enter the respective value for Piezometric Head at Upstream End, Piezometric Head at Downstream End, Coefficient of Permeability, Aquifer Thickness & Length and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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