Recharge when Maximum Height of Water Table Solution

STEP 0: Pre-Calculation Summary
Formula Used
Natural Recharge = (Maximum Height of Water Table/(Length between tile drain/2))^2*Coefficient of Permeability
R = (hm/(L/2))^2*K
This formula uses 4 Variables
Variables Used
Natural Recharge - (Measured in Cubic Meter per Second) - Natural Recharge is the replenishment of infiltrating groundwater.
Maximum Height of Water Table - (Measured in Meter) - Maximum Height of Water Table observed.
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.
Coefficient of Permeability - (Measured in Meter per Second) - The Coefficient of Permeability of soil describes how easily a liquid will move through the soil.
STEP 1: Convert Input(s) to Base Unit
Maximum Height of Water Table: 40 Meter --> 40 Meter No Conversion Required
Length between tile drain: 6 Meter --> 6 Meter No Conversion Required
Coefficient of Permeability: 9 Centimeter per Second --> 0.09 Meter per Second (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
R = (hm/(L/2))^2*K --> (40/(6/2))^2*0.09
Evaluating ... ...
R = 16
STEP 3: Convert Result to Output's Unit
16 Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
16 Cubic Meter per Second <-- Natural Recharge
(Calculation completed in 00.004 seconds)

Credits

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Created by Mithila Muthamma PA
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

Recharge when Maximum Height of Water Table Formula

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

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 Recharge when Maximum Height of Water Table?

Recharge when Maximum Height of Water Table calculator uses Natural Recharge = (Maximum Height of Water Table/(Length between tile drain/2))^2*Coefficient of Permeability to calculate the Natural Recharge, The recharge when maximum height of water table is defined as the primary method through which water enters an aquifer. Natural Recharge is denoted by R symbol.

How to calculate Recharge when Maximum Height of Water Table using this online calculator? To use this online calculator for Recharge when Maximum Height of Water Table, enter Maximum Height of Water Table (hm), Length between tile drain (L) & Coefficient of Permeability (K) and hit the calculate button. Here is how the Recharge when Maximum Height of Water Table calculation can be explained with given input values -> 16 = (40/(6/2))^2*0.09.

FAQ

What is Recharge when Maximum Height of Water Table?
The recharge when maximum height of water table is defined as the primary method through which water enters an aquifer and is represented as R = (hm/(L/2))^2*K or Natural Recharge = (Maximum Height of Water Table/(Length between tile drain/2))^2*Coefficient of Permeability. Maximum Height of Water Table observed, Length between tile drain considered to establish an approximate expression to the water table profile on a horizontal impervious boundary & The Coefficient of Permeability of soil describes how easily a liquid will move through the soil.
How to calculate Recharge when Maximum Height of Water Table?
The recharge when maximum height of water table is defined as the primary method through which water enters an aquifer is calculated using Natural Recharge = (Maximum Height of Water Table/(Length between tile drain/2))^2*Coefficient of Permeability. To calculate Recharge when Maximum Height of Water Table, you need Maximum Height of Water Table (hm), Length between tile drain (L) & Coefficient of Permeability (K). With our tool, you need to enter the respective value for Maximum Height of Water Table, Length between tile drain & Coefficient of Permeability 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 Maximum Height of Water Table, Length between tile drain & Coefficient of Permeability. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Natural Recharge = (Water Table Profile^2*Coefficient of Permeability)/((Length between tile drain-Flow in 'x' Direction)*Flow in 'x' Direction)
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