Natural Recharge given Total Head Calculator

✖The Water Table Profile refers to the depth of water table below aquifer.ⓘ Water Table Profile [h]			+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 Tile Drain refers to the approximate expression to the water table profile on a horizontal impervious boundary.ⓘ Length between Tile Drain [L]			+10% -10%
✖The Flow in 'x' Direction refers to the one-dimensional Dupit flow with recharge representation.ⓘ Flow in 'x' Direction [x]			+10% -10%

✖The Natural Recharge is a process by which groundwater is replenished naturally when precipitation infiltrates the ground, moving through the soil and rock layers until it reaches the water table.ⓘ Natural Recharge given Total Head [R]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Unconfined Flow Formulas PDF PDF Image

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) - The Natural Recharge is a process by which groundwater is replenished naturally when precipitation infiltrates the ground, moving through the soil and rock layers until it reaches the water table.
Water Table Profile - (Measured in Meter) - The Water Table Profile refers to 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) - The Length between Tile Drain refers to the approximate expression to the water table profile on a horizontal impervious boundary.
Flow in 'x' Direction - (Measured in Cubic Meter per Second) - The Flow in 'x' Direction refers to the one-dimensional Dupit flow with recharge representation.

STEP 1: Convert Input(s) to Base Unit

Water Table Profile: 4 Meter --> 4 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) --> (4^2*9)/((6-2)*2)

Evaluating ... ...

R = 18

STEP 3: Convert Result to Output's Unit

18 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

18 Cubic Meter per Second <-- Natural Recharge

(Calculation completed in 00.020 seconds)

You are here -

Home » Engineering » Civil » Engineering Hydrology » Groundwater Hydrology » Unconfined Flow » Unconfined Flow by Dupit's Assumption » Natural Recharge given Total Head

Credits

Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has verified this Calculator and 1700+ more calculators!

< 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

Natural Recharge given Total Head Formula

LaTeX Go

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 formula 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 = (water_table_profile_^2*0.09)/((6-2)*2).

FAQ

What is Natural Recharge given Total Head?

The Natural Recharge given Total Head formula 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). The Water Table Profile refers to the depth of water table below aquifer, The Coefficient of Permeability of soil describes how easily a liquid will move through the soil, The Length between Tile Drain refers to the approximate expression to the water table profile on a horizontal impervious boundary & The Flow in 'x' Direction refers to the one-dimensional Dupit flow with recharge representation.

How to calculate Natural Recharge given Total Head?

The Natural Recharge given Total Head formula 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

Home

FREE PDFs

🔍 Search