Equation of Hydraulic Grade Line in Confined Groundwater Flow Solution

STEP 0: Pre-Calculation Summary
Formula Used
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
P = ho-((ho-h1)/Lstream)*x
This formula uses 5 Variables
Variables Used
Piezometric Head - (Measured in Meter) - Piezometric Head is sum of pressure and datum head.
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.
Flow in 'x' Direction - (Measured in Cubic Meter per Second) - Flow in 'x' Direction from One-Dimensional Dupit Flow with Recharge Representation.
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
Flow in 'x' Direction: 2 Cubic Meter per Second --> 2 Cubic Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = ho-((ho-h1)/Lstream)*x --> 12-((12-5)/4.09)*2
Evaluating ... ...
P = 8.57701711491443
STEP 3: Convert Result to Output's Unit
8.57701711491443 Meter --> No Conversion Required
FINAL ANSWER
8.57701711491443 8.577017 Meter <-- Piezometric Head
(Calculation completed in 00.004 seconds)

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Coorg Institute of Technology (CIT), Coorg
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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

Equation of Hydraulic Grade Line in Confined Groundwater Flow Formula

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
P = ho-((ho-h1)/Lstream)*x

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 Equation of Hydraulic Grade Line in Confined Groundwater Flow?

Equation of Hydraulic Grade Line in Confined Groundwater Flow calculator uses 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 to calculate the Piezometric Head, The Equation of Hydraulic Grade Line in Confined Groundwater Flow is defined as specific measurement of liquid pressure above vertical datum. Piezometric Head is denoted by P symbol.

How to calculate Equation of Hydraulic Grade Line in Confined Groundwater Flow using this online calculator? To use this online calculator for Equation of Hydraulic Grade Line in Confined Groundwater Flow, enter Piezometric Head at Upstream End (ho), Piezometric Head at Downstream End (h1), Length between upstream and downstream (Lstream) & Flow in 'x' Direction (x) and hit the calculate button. Here is how the Equation of Hydraulic Grade Line in Confined Groundwater Flow calculation can be explained with given input values -> 8.577017 = 12-((12-5)/4.09)*2.

FAQ

What is Equation of Hydraulic Grade Line in Confined Groundwater Flow?
The Equation of Hydraulic Grade Line in Confined Groundwater Flow is defined as specific measurement of liquid pressure above vertical datum and is represented as P = ho-((ho-h1)/Lstream)*x or 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. 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 & Flow in 'x' Direction from One-Dimensional Dupit Flow with Recharge Representation.
How to calculate Equation of Hydraulic Grade Line in Confined Groundwater Flow?
The Equation of Hydraulic Grade Line in Confined Groundwater Flow is defined as specific measurement of liquid pressure above vertical datum is calculated using 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. To calculate Equation of Hydraulic Grade Line in Confined Groundwater Flow, you need Piezometric Head at Upstream End (ho), Piezometric Head at Downstream End (h1), Length between upstream and downstream (Lstream) & Flow in 'x' Direction (x). 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 & Flow in 'x' Direction 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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