Discharge per Unit Width of Aquifer considering Permeability 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 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 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 per Unit Width of Aquifer considering Permeability [Q]

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Discharge per Unit Width of Aquifer considering Permeability Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.

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)
Length between Upstream and Downstream: 4.09 Meter --> 4.09 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = ((h_o^2-h₁^2)*K)/(2*L_stream) --> ((12^2-5^2)*0.09)/(2*4.09)

Evaluating ... ...

Q = 1.30929095354523

STEP 3: Convert Result to Output's Unit

1.30929095354523 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

1.30929095354523 ≈ 1.309291 Cubic Meter per Second <-- Discharge

(Calculation completed in 00.004 seconds)

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< Unconfined Flow by Dupit's Assumption Calculators

Water Table Profile Neglecting Depths of Water in Drains

LaTeX 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

LaTeX 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

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

Mass Flux Entering Element

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

Discharge per Unit Width of Aquifer considering Permeability Formula

LaTeX Go

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

What is Recharge?

Recharge is the primary method through which water enters an aquifer. This process usually occurs in the vadose zone below plant roots and, is often expressed as a flux to the water table surface. Groundwater recharge also encompasses water moving away from the water table farther into the saturated zone.

How to Calculate Discharge per Unit Width of Aquifer considering Permeability?

Discharge per Unit Width of Aquifer considering Permeability calculator uses Discharge = ((Piezometric Head at Upstream End^2-Piezometric Head at Downstream End^2)*Coefficient of Permeability)/(2*Length between Upstream and Downstream) to calculate the Discharge, The Discharge per Unit Width of Aquifer considering Permeability formula is defined as the volumetric flow rate of water that is transported through a given cross-sectional area. Discharge is denoted by Q symbol.

How to calculate Discharge per Unit Width of Aquifer considering Permeability using this online calculator? To use this online calculator for Discharge per Unit Width of Aquifer considering Permeability, enter Piezometric Head at Upstream End (h_o), Piezometric Head at Downstream End (h₁), Coefficient of Permeability (K) & Length between Upstream and Downstream (L_stream) and hit the calculate button. Here is how the Discharge per Unit Width of Aquifer considering Permeability calculation can be explained with given input values -> 1.309291 = ((12^2-5^2)*0.09)/(2*4.09).

FAQ

What is Discharge per Unit Width of Aquifer considering Permeability?

The Discharge per Unit Width of Aquifer considering Permeability formula 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^2-h₁^2)*K)/(2*L_stream) or Discharge = ((Piezometric Head at Upstream End^2-Piezometric Head at Downstream End^2)*Coefficient of Permeability)/(2*Length between Upstream and Downstream). 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 Length between Upstream and Downstream refers to the horizontal base with a difference in surface elevations.

How to calculate Discharge per Unit Width of Aquifer considering Permeability?

The Discharge per Unit Width of Aquifer considering Permeability formula is defined as the volumetric flow rate of water that is transported through a given cross-sectional area is calculated using Discharge = ((Piezometric Head at Upstream End^2-Piezometric Head at Downstream End^2)*Coefficient of Permeability)/(2*Length between Upstream and Downstream). To calculate Discharge per Unit Width of Aquifer considering Permeability, you need Piezometric Head at Upstream End (h_o), Piezometric Head at Downstream End (h₁), Coefficient of Permeability (K) & Length between Upstream and Downstream (L_stream). With our tool, you need to enter the respective value for Piezometric Head at Upstream End, Piezometric Head at Downstream End, Coefficient of Permeability & Length between Upstream and Downstream 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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