Discharge per unit width of aquifers 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%
✖Length between upstream and downstream water bodies on a horizontal base with a difference in surface elevations.ⓘ Length between upstream and downstream [L_stream]			+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%

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

⎘ Copy

👎

Formula

✖

Discharge per unit width of aquifers

Formula

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

Example

`"0.128362m³/s"=(("12m"-"5m")/"4.09m")*"0.5cm/s"*"15m"`

Calculator

LaTeX

Reset

👍

Download Engineering Hydrology Formula PDF PDF Image

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) - 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.
Length between upstream and downstream - (Measured in Meter) - Length between upstream and downstream water bodies on a horizontal base with a difference in surface elevations.
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.

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 Centimeter per Second --> 0.005 Meter per Second (Check conversion here)
Aquifer Thickness: 15 Meter --> 15 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)*0.005*15

Evaluating ... ...

q = 0.128361858190709

STEP 3: Convert Result to Output's Unit

0.128361858190709 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

0.128361858190709 ≈ 0.128362 Cubic Meter per Second <-- Discharge per unit width of aquifer

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Engineering Hydrology » Groundwater Hydrology » Confined Groundwater Flow between Water Bodies » Discharge per unit width of aquifers

Credits

Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has verified this Calculator and 1700+ more calculators!

< 7 Confined Groundwater Flow between Water Bodies Calculators

Length when Discharge per Unit Width of Aquifer is Considered

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

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

Rate of movement through aquifer and confining bed

Go Groundwater Velocity = (Hydraulic Conductivity/Porosity of soil)*Hydraulic Gradient

Velocity Equation of Hydraulics

Go Discharge per unit width of aquifer = Cross-Sectional Area*Groundwater Velocity

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 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 -> 0.128362 = ((12-5)/4.09)*0.005*15.

FAQ

What is Discharge per unit width of aquifers?

The Discharge per unit width of aquifers 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. 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, Length between upstream and downstream water bodies on a horizontal base with a difference in surface elevations, 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.

How to calculate Discharge per unit width of aquifers?

The Discharge per unit width of aquifers 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

Home

FREE PDFs

🔍 Search