Discharge per unit width of aquifer is Calculator

✖Piezometric Head at Upstream End is defined as a specific measurement of liquid pressure above a vertical datum.ⓘ Piezometric Head at Upstream End [h_o]			+10% -10%
✖Piezometric Head at Downstream End is defined as a 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%
✖Length between upstream and downstream water bodies on a horizontal base with a difference in surface elevations.ⓘ Length between upstream and downstream [L_stream]			+10% -10%

✖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.ⓘ Discharge per unit width of aquifer is [Q]

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Formula

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Discharge per unit width of aquifer is

Formula

`"Q" = (("h"_{"o"}^2-"h"_{"1"}^2)*"K")/2*"L"_{"stream"}`

Example

`"21.90195m³/s"=((("12m")^2-("5m")^2)*"9cm/s")/2*"4.09m"`

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Discharge per unit width of aquifer is 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) - 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.
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.
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) - Length between upstream and downstream water bodies on a 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 = 21.90195

STEP 3: Convert Result to Output's Unit

21.90195 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

21.90195 Cubic Meter per Second <-- Discharge

(Calculation completed in 00.004 seconds)

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< 10+ 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)

Change in Drawdown given Discharge

Go Change in Drawdown = Discharge*ln(Radial Distance at Observation Well 2/Radial Distance at Observation Well 1)/2*pi*Transmissivity

Natural Recharge given total head

Go Natural Recharge = (Water Table Profile^2*Coefficient of Permeability)/((Length between tile drain-Flow in 'x' Direction)*Flow in 'x' Direction)

Length about discharge per unit width of aquifer

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

Discharge per unit width of aquifer is

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)

Length when Maximum Height of Water Table is Considered

Go Length between tile drain = 2*Maximum Height of Water Table/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

Recharge when Maximum Height of Water Table

Go Natural Recharge = (Maximum Height of Water Table/(Length between tile drain/2))^2*Coefficient of Permeability

Length when discharge entering per unit length of drain is considered

Go Length between tile drain = Discharge/Natural Recharge

Discharge per unit width of aquifer is Formula

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 is?

Discharge per unit width of aquifer is 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 is 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 is using this online calculator? To use this online calculator for Discharge per unit width of aquifer is, 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 is calculation can be explained with given input values -> 21.90195 = ((12^2-5^2)*0.09)/2*4.09.

FAQ

What is Discharge per unit width of aquifer is?

The discharge per unit width of aquifer is 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. 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, The Coefficient of Permeability of soil describes how easily a liquid will move through the soil & Length between upstream and downstream water bodies on a horizontal base with a difference in surface elevations.

How to calculate Discharge per unit width of aquifer is?

The discharge per unit width of aquifer is 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 is, 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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