Natural Recharge given total head Solution

STEP 0: Pre-Calculation Summary
Formula Used
Natural Recharge = (Water Table Profile^2*Coefficient of Permeability)/((Length between tile drain-Flow in 'x' Direction)*Flow in 'x' Direction)
R = (h^2*K)/((L-x)*x)
This formula uses 5 Variables
Variables Used
Natural Recharge - (Measured in Cubic Meter per Second) - Natural Recharge is the replenishment of infiltrating groundwater.
Water Table Profile - (Measured in Meter) - Water table profile is the depth of water table below aquifer.
Coefficient of Permeability - (Measured in Centimeter per Second) - The Coefficient of Permeability of soil describes how easily a liquid will move through the soil.
Length between tile drain - (Measured in Meter) - Length between tile drain considered to establish an approximate expression to the water table profile on a horizontal impervious boundary.
Flow in 'x' Direction - (Measured in Cubic Meter per Second) - Flow in 'x' Direction from One-Dimensional Dupit Flow with Recharge Representation.
STEP 1: Convert Input(s) to Base Unit
Water Table Profile: 28.79 Meter --> 28.79 Meter No Conversion Required
Coefficient of Permeability: 9 Centimeter per Second --> 9 Centimeter per Second No Conversion Required
Length between tile drain: 6 Meter --> 6 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
R = (h^2*K)/((L-x)*x) --> (28.79^2*9)/((6-2)*2)
Evaluating ... ...
R = 932.4721125
STEP 3: Convert Result to Output's Unit
932.4721125 Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
932.4721125 932.4721 Cubic Meter per Second <-- Natural Recharge
(Calculation completed in 00.020 seconds)

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Coorg Institute of Technology (CIT), Coorg
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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

Natural Recharge given total head Formula

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

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 Natural Recharge given total head?

Natural Recharge given total head calculator uses Natural Recharge = (Water Table Profile^2*Coefficient of Permeability)/((Length between tile drain-Flow in 'x' Direction)*Flow in 'x' Direction) to calculate the Natural Recharge, The Natural Recharge given total head is defined as a hydrologic process, where water moves downward from surface water to groundwater. Natural Recharge is denoted by R symbol.

How to calculate Natural Recharge given total head using this online calculator? To use this online calculator for Natural Recharge given total head, enter Water Table Profile (h), Coefficient of Permeability (K), Length between tile drain (L) & Flow in 'x' Direction (x) and hit the calculate button. Here is how the Natural Recharge given total head calculation can be explained with given input values -> 932.4721 = (28.79^2*0.09)/((6-2)*2).

FAQ

What is Natural Recharge given total head?
The Natural Recharge given total head is defined as a hydrologic process, where water moves downward from surface water to groundwater and is represented as R = (h^2*K)/((L-x)*x) or Natural Recharge = (Water Table Profile^2*Coefficient of Permeability)/((Length between tile drain-Flow in 'x' Direction)*Flow in 'x' Direction). Water table profile is the depth of water table below aquifer, The Coefficient of Permeability of soil describes how easily a liquid will move through the soil, Length between tile drain considered to establish an approximate expression to the water table profile on a horizontal impervious boundary & Flow in 'x' Direction from One-Dimensional Dupit Flow with Recharge Representation.
How to calculate Natural Recharge given total head?
The Natural Recharge given total head is defined as a hydrologic process, where water moves downward from surface water to groundwater is calculated using Natural Recharge = (Water Table Profile^2*Coefficient of Permeability)/((Length between tile drain-Flow in 'x' Direction)*Flow in 'x' Direction). To calculate Natural Recharge given total head, you need Water Table Profile (h), Coefficient of Permeability (K), Length between tile drain (L) & Flow in 'x' Direction (x). With our tool, you need to enter the respective value for Water Table Profile, Coefficient of Permeability, Length between tile drain & 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.
How many ways are there to calculate Natural Recharge?
In this formula, Natural Recharge uses Water Table Profile, Coefficient of Permeability, Length between tile drain & Flow in 'x' Direction. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Natural Recharge = (Maximum Height of Water Table/(Length between tile drain/2))^2*Coefficient of Permeability
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