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Discharge when Two Observation Well is Taken Formula

GoRate of Flow given Flow Velocity Formula

GoDischarge in Unconfined Aquifer Formula

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Discharge is the flow rate of water that is extracted from or injected into a well. Check FAQs

Q = \frac{π \cdot K WH \cdot ({h 2}^{2} - {h 1}^{2})}{\log ((\frac{r 2}{r 1}), e)}

Q - Discharge?K_WH - Coefficient of Permeability in Well Hydraulics?h₂ - Depth of Water 2?h₁ - Depth of Water 1?r₂ - Radial Distance at Observation Well 2?r₁ - Radial Distance at Observation Well 1?π - Archimedes' constant?

Discharge when Two Observation Well is Taken Example

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Here is how the Discharge when Two Observation Well is Taken equation looks like with Values.

Here is how the Discharge when Two Observation Well is Taken equation looks like with Units.

Here is how the Discharge when Two Observation Well is Taken equation looks like.

0.3611 = \frac{3.1416 \cdot 10 \cdot ({17.8644}^{2} - {17.85}^{2})}{\log ((\frac{10}{1.07}), e)}

0.3611m³/s = \frac{3.1416 \cdot 10cm/s \cdot ({17.8644m}^{2} - {17.85m}^{2})}{\log ((\frac{10m}{1.07m}), e)}

0.3611 = \frac{3.1416 \cdot 10 \cdot ({17.8644}^{2} - {17.85}^{2})}{\log ((\frac{10}{1.07}), e)}

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Discharge when Two Observation Well is Taken Solution

Follow our step by step solution on how to calculate Discharge when Two Observation Well is Taken?

FIRST Step Consider the formula

Q = \frac{π \cdot K WH \cdot ({h 2}^{2} - {h 1}^{2})}{\log ((\frac{r 2}{r 1}), e)}

Next Step Substitute values of Variables

∴

Q = \frac{π \cdot 10cm/s \cdot ({17.8644m}^{2} - {17.85m}^{2})}{\log ((\frac{10m}{1.07m}), e)}

Next Step Substitute values of Constants

∴

Q = \frac{3.1416 \cdot 10cm/s \cdot ({17.8644m}^{2} - {17.85m}^{2})}{\log ((\frac{10m}{1.07m}), e)}

Next Step Convert Units

∴

Q = \frac{3.1416 \cdot 0.1m/s \cdot ({17.8644m}^{2} - {17.85m}^{2})}{\log ((\frac{10m}{1.07m}), e)}

Next Step Prepare to Evaluate

∴

Q = \frac{3.1416 \cdot 0.1 \cdot ({17.8644}^{2} - {17.85}^{2})}{\log ((\frac{10}{1.07}), e)}

Next Step Evaluate

∴

Q = 0.361092906892199m³/s

LAST Step Rounding Answer

∴

Q = 0.3611m³/s

Discharge when Two Observation Well is Taken Formula Elements

Variables

Constants

Functions

Discharge

Discharge is the flow rate of water that is extracted from or injected into a well.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Discharge

Coefficient of Permeability in Well Hydraulics

Coefficient of Permeability in Well Hydraulics of soil in well hydraulics describes how easily a liquid will move through the soil.

Symbol: K_WH

Measurement: SpeedUnit: cm/s

Note: Value should be greater than 0.

Formulas to find Coefficient of Permeability in Well Hydraulics

Depth of Water 2

Depth of water 2 means the depth of the water in 2nd well.

Symbol: h₂

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Depth of Water 2

Depth of Water 1

Depth of Water 1 is the depth of water in the 1st considered well.

Symbol: h₁

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depth of Water 1

Radial Distance at Observation Well 2

Radial Distance at Observation Well 2 is the value of radial distance from well 2 when we have prior information of other parameters used.

Symbol: r₂

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Radial Distance at Observation Well 2

Radial Distance at Observation Well 1

Radial Distance at Observation Well 1 is the value of radial distance from well 1 when we have prior information of other parameters used.

Symbol: r₁

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radial Distance at Observation Well 1

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

log

Logarithmic function is an inverse function to exponentiation.

Syntax: log(Base, Number)

Other Formulas to find Discharge

Go Rate of Flow given Flow Velocity

Q = (V wh' \cdot A sec)

Go Discharge in Unconfined Aquifer

Q = \frac{π \cdot K WH \cdot (H^{2} - {h w}^{2})}{\log ((\frac{R w}{r}), e)}

Go Discharge in Unconfined Aquifer with Base 10

Q = \frac{1.36 \cdot K WH \cdot ({b w}^{2} - {h w}^{2})}{\log ((\frac{R w}{r}), 10)}

Go Discharge from Two Wells with Base 10

Q = \frac{1.36 \cdot K WH \cdot ({h 2}^{2} - {h 1}^{2})}{\log ((\frac{r 2}{r1'}), 10)}

How to Evaluate Discharge when Two Observation Well is Taken?

Discharge when Two Observation Well is Taken evaluator uses Discharge = (pi*Coefficient of Permeability in Well Hydraulics*(Depth of Water 2^2-Depth of Water 1^2))/(log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),e)) to evaluate the Discharge, The Discharge when Two Observation Well is Taken is defined as the value of discharge when we have prior information of other parameters used. Discharge is denoted by Q symbol.

How to evaluate Discharge when Two Observation Well is Taken using this online evaluator? To use this online evaluator for Discharge when Two Observation Well is Taken, enter Coefficient of Permeability in Well Hydraulics (K_WH), Depth of Water 2 (h₂), Depth of Water 1 (h₁), Radial Distance at Observation Well 2 (r₂) & Radial Distance at Observation Well 1 (r₁) and hit the calculate button.

FAQs on Discharge when Two Observation Well is Taken

What is the formula to find Discharge when Two Observation Well is Taken?

The formula of Discharge when Two Observation Well is Taken is expressed as Discharge = (pi*Coefficient of Permeability in Well Hydraulics*(Depth of Water 2^2-Depth of Water 1^2))/(log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),e)). Here is an example- 0.361093 = (pi*0.1*(17.8644^2-17.85^2))/(log((10/1.07),e)).

How to calculate Discharge when Two Observation Well is Taken?

With Coefficient of Permeability in Well Hydraulics (K_WH), Depth of Water 2 (h₂), Depth of Water 1 (h₁), Radial Distance at Observation Well 2 (r₂) & Radial Distance at Observation Well 1 (r₁) we can find Discharge when Two Observation Well is Taken using the formula - Discharge = (pi*Coefficient of Permeability in Well Hydraulics*(Depth of Water 2^2-Depth of Water 1^2))/(log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),e)). This formula also uses Archimedes' constant and Logarithmic Inverse (log) function(s).

What are the other ways to Calculate Discharge?

Here are the different ways to Calculate Discharge-

Discharge=(Velocity of Flow*Area of Cross Section)
Discharge=(pi*Coefficient of Permeability in Well Hydraulics*(Thickness of Unconfined Aquifer^2-Depth of Water^2))/(log((Radius of Influence/Radius of Well),e))
Discharge=(1.36*Coefficient of Permeability in Well Hydraulics*(Aquifer Thickness^2-Depth of Water^2))/(log((Radius of Influence/Radius of Well),10))

Can the Discharge when Two Observation Well is Taken be negative?

Yes, the Discharge when Two Observation Well is Taken, measured in Volumetric Flow Rate can be negative.

Which unit is used to measure Discharge when Two Observation Well is Taken?

Discharge when Two Observation Well is Taken 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 Discharge when Two Observation Well is Taken can be measured.

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Discharge when Two Observation Well is Taken Formula

​GoRate of Flow given Flow Velocity Formula

​GoDischarge in Unconfined Aquifer Formula

Discharge when Two Observation Well is Taken Example

Discharge when Two Observation Well is Taken Solution

Discharge when Two Observation Well is Taken Formula Elements

Other Formulas to find Discharge

How to Evaluate Discharge when Two Observation Well is Taken?

FAQs on Discharge when Two Observation Well is Taken

Variable Name

GoRate of Flow given Flow Velocity Formula

GoDischarge in Unconfined Aquifer Formula