Length when Discharge per Unit Width of Aquifer is Considered 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 Discharge per Unit Width of Aquifer refers to the rate of total discharge in the channel to the width considered.ⓘ Discharge per Unit Width of Aquifer [q]			+10% -10%
✖The Coefficient of Permeability refers to the rate of flow of water under laminar flow conditions through a unit cross-sectional area of a porous medium under a unit hydraulic gradient.ⓘ Coefficient of Permeability [k]			+10% -10%
✖The Aquifer Thickness is referred as vertical distance between the top and bottom boundaries of an aquifer, typically measured in feet or meters.ⓘ Aquifer Thickness [b]			+10% -10%

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

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Formula

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Length when Discharge per Unit Width of Aquifer is Considered

Formula

L stream = (\frac{h o - h 1}{q}) \cdot k \cdot b

Example

4.083333 m = (\frac{12 m - 5 m}{30 m³/s}) \cdot 0.5 m/s \cdot 35 m

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Length when Discharge per Unit Width of Aquifer is Considered Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
L_stream = ((h_o-h₁)/q)*k*b
This formula uses 6 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.
Discharge per Unit Width of Aquifer - (Measured in Cubic Meter per Second) - The Discharge per Unit Width of Aquifer refers to the rate of total discharge in the channel to the width considered.
Coefficient of Permeability - (Measured in Meter per Second) - The Coefficient of Permeability refers to the rate of flow of water under laminar flow conditions through a unit cross-sectional area of a porous medium under a unit hydraulic gradient.
Aquifer Thickness - (Measured in Meter) - The Aquifer Thickness is referred as vertical distance between the top and bottom boundaries of an aquifer, typically measured in feet or meters.

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
Discharge per Unit Width of Aquifer: 30 Cubic Meter per Second --> 30 Cubic Meter per Second No Conversion Required
Coefficient of Permeability: 0.5 Meter per Second --> 0.5 Meter per Second No Conversion Required
Aquifer Thickness: 35 Meter --> 35 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_stream = ((h_o-h₁)/q)*k*b --> ((12-5)/30)*0.5*35

Evaluating ... ...

L_stream = 4.08333333333333

STEP 3: Convert Result to Output's Unit

4.08333333333333 Meter --> No Conversion Required

FINAL ANSWER

4.08333333333333 ≈ 4.083333 Meter <-- Length between Upstream and Downstream

(Calculation completed in 00.004 seconds)

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< Confined Groundwater Flow between Water Bodies Calculators

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

Length when Discharge per Unit Width of Aquifer is Considered Formula

What is the Coefficient of Permeability?

The Coefficient of Permeability of a soil describes how easily a liquid will move through a soil. It is also commonly referred to as the hydraulic conductivity of a soil. This factor can be affected by the viscosity, or thickness(fluidity) of a liquid and its density.

How to Calculate Length when Discharge per Unit Width of Aquifer is Considered?

Length when Discharge per Unit Width of Aquifer is Considered calculator uses 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 to calculate the Length between Upstream and Downstream, The Length when Discharge per Unit Width of Aquifer is Considered formula is defined as the distance between two points along the flow path of the aquifer, crucial in calculating the discharge, which is the volumetric flow rate of water through a given cross-sectional area of the aquifer. Length between Upstream and Downstream is denoted by L_stream symbol.

How to calculate Length when Discharge per Unit Width of Aquifer is Considered using this online calculator? To use this online calculator for Length when Discharge per Unit Width of Aquifer is Considered, enter Piezometric Head at Upstream End (h_o), Piezometric Head at Downstream End (h₁), Discharge per Unit Width of Aquifer (q), Coefficient of Permeability (k) & Aquifer Thickness (b) and hit the calculate button. Here is how the Length when Discharge per Unit Width of Aquifer is Considered calculation can be explained with given input values -> 1.75 = ((12-5)/30)*0.5*35.

FAQ

What is Length when Discharge per Unit Width of Aquifer is Considered?

The Length when Discharge per Unit Width of Aquifer is Considered formula is defined as the distance between two points along the flow path of the aquifer, crucial in calculating the discharge, which is the volumetric flow rate of water through a given cross-sectional area of the aquifer and is represented as L_stream = ((h_o-h₁)/q)*k*b or 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. 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 Discharge per Unit Width of Aquifer refers to the rate of total discharge in the channel to the width considered, The Coefficient of Permeability refers to the rate of flow of water under laminar flow conditions through a unit cross-sectional area of a porous medium under a unit hydraulic gradient & The Aquifer Thickness is referred as vertical distance between the top and bottom boundaries of an aquifer, typically measured in feet or meters.

How to calculate Length when Discharge per Unit Width of Aquifer is Considered?

The Length when Discharge per Unit Width of Aquifer is Considered formula is defined as the distance between two points along the flow path of the aquifer, crucial in calculating the discharge, which is the volumetric flow rate of water through a given cross-sectional area of the aquifer is calculated using 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. To calculate Length when Discharge per Unit Width of Aquifer is Considered, you need Piezometric Head at Upstream End (h_o), Piezometric Head at Downstream End (h₁), Discharge per Unit Width of Aquifer (q), 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, Discharge per Unit Width of Aquifer, 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.

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