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Natural Recharge given Total Head Formula

GoRecharge when Maximum Height of Water Table Formula

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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. Check FAQs

R = \frac{h^{2} \cdot K}{(L - x) \cdot x}

R - Natural Recharge?h - Water Table Profile?K - Coefficient of Permeability?L - Length between Tile Drain?x - Flow in 'x' Direction?

Natural Recharge given Total Head Example

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Here is how the Natural Recharge given Total Head equation looks like with Values.

Here is how the Natural Recharge given Total Head equation looks like with Units.

Here is how the Natural Recharge given Total Head equation looks like.

18 = \frac{4^{2} \cdot 9}{(6 - 2) \cdot 2}

18m³/s = \frac{{4m}^{2} \cdot 9cm/s}{(6m - 2m³/s) \cdot 2m³/s}

18 = \frac{4^{2} \cdot 9}{(6 - 2) \cdot 2}

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Natural Recharge given Total Head Solution

Follow our step by step solution on how to calculate Natural Recharge given Total Head?

FIRST Step Consider the formula

R = \frac{h^{2} \cdot K}{(L - x) \cdot x}

Next Step Substitute values of Variables

∴

R = \frac{{4m}^{2} \cdot 9cm/s}{(6m - 2m³/s) \cdot 2m³/s}

Next Step Prepare to Evaluate

∴

R = \frac{4^{2} \cdot 9}{(6 - 2) \cdot 2}

LAST Step Evaluate

∴

R = 18m³/s

Natural Recharge given Total Head Formula Elements

Variables

Natural Recharge

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.

Symbol: R

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Natural Recharge

Water Table Profile

The Water Table Profile refers to the depth of water table below aquifer.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Water Table Profile

Coefficient of Permeability

The Coefficient of Permeability of soil describes how easily a liquid will move through the soil.

Symbol: K

Measurement: SpeedUnit: cm/s

Note: Value should be greater than 0.

Formulas to find Coefficient of Permeability

Length between Tile Drain

The Length between Tile Drain refers to the approximate expression to the water table profile on a horizontal impervious boundary.

Symbol: L

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length between Tile Drain

Flow in 'x' Direction

The Flow in 'x' Direction refers to the one-dimensional Dupit flow with recharge representation.

Symbol: x

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Flow in 'x' Direction

Other Formulas to find Natural Recharge

Go Recharge when Maximum Height of Water Table

R = {(\frac{h m}{\frac{L}{2}})}^{2} \cdot K

Other formulas in Unconfined Flow by Dupit's Assumption category

Go Mass Flux Entering Element

M x1 = ρ water \cdot V x \cdot H w \cdot Δy

Go Discharge per Unit Width of Aquifer considering Permeability

Q = \frac{({h o}^{2} - {h 1}^{2}) \cdot K}{2 \cdot L stream}

Go Water Table Profile Neglecting Depths of Water in Drains

h = \sqrt{(\frac{R}{K}) \cdot (L - x) \cdot x}

Go Maximum Height of Water Table

h m = (\frac{L}{2}) \cdot \sqrt{\frac{R}{K}}

How to Evaluate Natural Recharge given Total Head?

Natural Recharge given Total Head evaluator uses Natural Recharge = (Water Table Profile^2*Coefficient of Permeability)/((Length between Tile Drain-Flow in 'x' Direction)*Flow in 'x' Direction) to evaluate 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 evaluate Natural Recharge given Total Head using this online evaluator? To use this online evaluator 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.

FAQs on Natural Recharge given Total Head

What is the formula to find Natural Recharge given Total Head?

The formula of Natural Recharge given Total Head is expressed as Natural Recharge = (Water Table Profile^2*Coefficient of Permeability)/((Length between Tile Drain-Flow in 'x' Direction)*Flow in 'x' Direction). Here is an example- 932.4721 = (water_table_profile_^2*0.09)/((6-2)*2).

How to calculate Natural Recharge given Total Head?

With Water Table Profile (h), Coefficient of Permeability (K), Length between Tile Drain (L) & Flow in 'x' Direction (x) we can find Natural Recharge given Total Head using the formula - Natural Recharge = (Water Table Profile^2*Coefficient of Permeability)/((Length between Tile Drain-Flow in 'x' Direction)*Flow in 'x' Direction).

What are the other ways to Calculate Natural Recharge?

Here are the different ways to Calculate Natural Recharge-

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

Can the Natural Recharge given Total Head be negative?

Yes, the Natural Recharge given Total Head, measured in Volumetric Flow Rate can be negative.

Which unit is used to measure Natural Recharge given Total Head?

Natural Recharge given Total Head is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Natural Recharge given Total Head can be measured.

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Natural Recharge given Total Head Formula

​GoRecharge when Maximum Height of Water Table Formula

Natural Recharge given Total Head Example

Natural Recharge given Total Head Solution

Natural Recharge given Total Head Formula Elements

Other Formulas to find Natural Recharge

Other formulas in Unconfined Flow by Dupit's Assumption category

How to Evaluate Natural Recharge given Total Head?

FAQs on Natural Recharge given Total Head

Variable Name

GoRecharge when Maximum Height of Water Table Formula