Length about Discharge per Unit Width of Aquifer 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 Coefficient of Permeability of soil describes how easily a liquid will move through the soil.ⓘ Coefficient of Permeability [K]			+10% -10%
✖The Discharge refers to the volumetric flow rate of water that is transported through a given cross-sectional area. It includes any suspended solids, dissolved chemicals, or biologic material.ⓘ Discharge [Q]			+10% -10%

✖The Length between Upstream and Downstream refers to the horizontal base with a difference in surface elevations.ⓘ Length about Discharge per Unit Width of Aquifer [L_stream]

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Formula

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Length about Discharge per Unit Width of Aquifer

Formula

L stream = ({h o}^{2} - {h 1}^{2}) \cdot \frac{K}{2 \cdot Q}

Example

4.119231 m = ({12 m}^{2} - {5 m}^{2}) \cdot \frac{9 cm/s}{2 \cdot 1.3 m³/s}

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Length about Discharge per Unit Width of Aquifer Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length between Upstream and Downstream = (Piezometric Head at Upstream End^2-Piezometric Head at Downstream End^2)*Coefficient of Permeability/(2*Discharge)
L_stream = (h_o^2-h₁^2)*K/(2*Q)
This formula uses 5 Variables

Variables Used

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.
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.
Coefficient of Permeability - (Measured in Meter per Second) - The Coefficient of Permeability of soil describes how easily a liquid will move through the soil.
Discharge - (Measured in Cubic Meter per Second) - The Discharge refers to the volumetric flow rate of water that is transported through a given cross-sectional area. It includes any suspended solids, dissolved chemicals, or biologic material.

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: 9 Centimeter per Second --> 0.09 Meter per Second (Check conversion here)
Discharge: 1.3 Cubic Meter per Second --> 1.3 Cubic Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_stream = (h_o^2-h₁^2)*K/(2*Q) --> (12^2-5^2)*0.09/(2*1.3)

Evaluating ... ...

L_stream = 4.11923076923077

STEP 3: Convert Result to Output's Unit

4.11923076923077 Meter --> No Conversion Required

FINAL ANSWER

4.11923076923077 ≈ 4.119231 Meter <-- Length between Upstream and Downstream

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Engineering Hydrology » Groundwater Hydrology » Unconfined Flow » Unconfined Flow by Dupit's Assumption » Length about Discharge per Unit Width of Aquifer

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< Unconfined Flow by Dupit's Assumption Calculators

Water Table Profile Neglecting Depths of Water in Drains

Go Water Table Profile = sqrt((Natural Recharge/Coefficient of Permeability)*(Length between Tile Drain-Flow in 'x' Direction)*Flow in 'x' Direction)

Discharge per Unit Width of Aquifer considering Permeability

Go Discharge = ((Piezometric Head at Upstream End^2-Piezometric Head at Downstream End^2)*Coefficient of Permeability)/(2*Length between Upstream and Downstream)

Maximum Height of Water Table

Go Maximum Height of Water Table = (Length between Tile Drain/2)*sqrt(Natural Recharge/Coefficient of Permeability)

Mass Flux Entering Element

Go Mass Flux Entering the Element = Water Density*Gross Velocity of Groundwater*Head*Change in 'y' Direction

Length about Discharge per Unit Width of Aquifer Formula

Length between Upstream and Downstream = (Piezometric Head at Upstream End^2-Piezometric Head at Downstream End^2)*Coefficient of Permeability/(2*Discharge)
L_stream = (h_o^2-h₁^2)*K/(2*Q)

What is Discharge?

In Hydrology, Discharge is the volumetric flow rate of water that is transported through a given cross-sectional area. It includes any suspended solids, dissolved chemicals, or biologic material in addition to the water itself.

How to Calculate Length about Discharge per Unit Width of Aquifer?

Length about Discharge per Unit Width of Aquifer calculator uses Length between Upstream and Downstream = (Piezometric Head at Upstream End^2-Piezometric Head at Downstream End^2)*Coefficient of Permeability/(2*Discharge) to calculate the Length between Upstream and Downstream, The Length about Discharge per Unit Width of Aquifer formula is defined as the overall length of the catchment area under consideration. Length between Upstream and Downstream is denoted by L_stream symbol.

How to calculate Length about Discharge per Unit Width of Aquifer using this online calculator? To use this online calculator for Length about Discharge per Unit Width of Aquifer, enter Piezometric Head at Upstream End (h_o), Piezometric Head at Downstream End (h₁), Coefficient of Permeability (K) & Discharge (Q) and hit the calculate button. Here is how the Length about Discharge per Unit Width of Aquifer calculation can be explained with given input values -> 0.243409 = (12^2-5^2)*0.09/(2*1.3).

FAQ

What is Length about Discharge per Unit Width of Aquifer?

The Length about Discharge per Unit Width of Aquifer formula is defined as the overall length of the catchment area under consideration and is represented as L_stream = (h_o^2-h₁^2)*K/(2*Q) or Length between Upstream and Downstream = (Piezometric Head at Upstream End^2-Piezometric Head at Downstream End^2)*Coefficient of Permeability/(2*Discharge). 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 Coefficient of Permeability of soil describes how easily a liquid will move through the soil & The Discharge refers to the volumetric flow rate of water that is transported through a given cross-sectional area. It includes any suspended solids, dissolved chemicals, or biologic material.

How to calculate Length about Discharge per Unit Width of Aquifer?

The Length about Discharge per Unit Width of Aquifer formula is defined as the overall length of the catchment area under consideration is calculated using Length between Upstream and Downstream = (Piezometric Head at Upstream End^2-Piezometric Head at Downstream End^2)*Coefficient of Permeability/(2*Discharge). To calculate Length about 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) & Discharge (Q). With our tool, you need to enter the respective value for Piezometric Head at Upstream End, Piezometric Head at Downstream End, Coefficient of Permeability & Discharge 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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