Equation of Hydraulic Grade Line in Confined Groundwater Flow 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 Flow in 'x' Direction refers to the one-dimensional Dupit flow with recharge representation.ⓘ Flow in 'x' Direction [x]			+10% -10%

✖The Piezometric Head refers to the specific measurement of liquid pressure above a vertical datum, typically measured as the elevation of the liquid surface at the entrance of a piezometer.ⓘ Equation of Hydraulic Grade Line in Confined Groundwater Flow [P]

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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 = h_o-((h_o-h₁)/L_stream)*x
This formula uses 5 Variables

Variables Used

Piezometric Head - (Measured in Meter) - The Piezometric Head refers to the specific measurement of liquid pressure above a vertical datum, typically measured as the elevation of the liquid surface at the entrance of a piezometer.
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.
Flow in 'x' Direction - (Measured in Cubic Meter per Second) - The Flow in 'x' Direction refers to the 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 = h_o-((h_o-h₁)/L_stream)*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 00.022 seconds)

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< Confined Groundwater Flow between Water Bodies Calculators

Coefficient of Permeability when Discharge is Considered

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX 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

Equation of Hydraulic Grade Line in Confined Groundwater Flow Formula

LaTeX Go

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 formula 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 (h_o), Piezometric Head at Downstream End (h₁), Length between Upstream and Downstream (L_stream) & 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 formula is defined as specific measurement of liquid pressure above vertical datum and is represented as P = h_o-((h_o-h₁)/L_stream)*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. 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 Flow in 'x' Direction refers to the 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 formula 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 (h_o), Piezometric Head at Downstream End (h₁), Length between Upstream and Downstream (L_stream) & 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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