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Depth of Water at Point 2 given Discharge of Two Wells under Consideration Formula

GoDepth of Water at Point 2 given Discharge from Two Wells with Base 10 Formula

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

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

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

Depth of Water at Point 2 given Discharge of Two Wells under Consideration Example

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Here is how the Depth of Water at Point 2 given Discharge of Two Wells under Consideration equation looks like with Values.

Here is how the Depth of Water at Point 2 given Discharge of Two Wells under Consideration equation looks like with Units.

Here is how the Depth of Water at Point 2 given Discharge of Two Wells under Consideration equation looks like.

17.8902 = \sqrt{{17.85}^{2} + \frac{1.01 \cdot \log ((\frac{10}{1.07}), e)}{3.1416 \cdot 10}}

17.8902m = \sqrt{{17.85m}^{2} + \frac{1.01m³/s \cdot \log ((\frac{10m}{1.07m}), e)}{3.1416 \cdot 10cm/s}}

17.8902 = \sqrt{{17.85}^{2} + \frac{1.01 \cdot \log ((\frac{10}{1.07}), e)}{3.1416 \cdot 10}}

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Depth of Water at Point 2 given Discharge of Two Wells under Consideration Solution

Follow our step by step solution on how to calculate Depth of Water at Point 2 given Discharge of Two Wells under Consideration?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h 2 = \sqrt{{17.85m}^{2} + \frac{1.01m³/s \cdot \log ((\frac{10m}{1.07m}), e)}{π \cdot 10cm/s}}

Next Step Substitute values of Constants

∴

h 2 = \sqrt{{17.85m}^{2} + \frac{1.01m³/s \cdot \log ((\frac{10m}{1.07m}), e)}{3.1416 \cdot 10cm/s}}

Next Step Convert Units

∴

h 2 = \sqrt{{17.85m}^{2} + \frac{1.01m³/s \cdot \log ((\frac{10m}{1.07m}), e)}{3.1416 \cdot 0.1m/s}}

Next Step Prepare to Evaluate

∴

h 2 = \sqrt{{17.85}^{2} + \frac{1.01 \cdot \log ((\frac{10}{1.07}), e)}{3.1416 \cdot 0.1}}

Next Step Evaluate

∴

h 2 = 17.8902485925236m

LAST Step Rounding Answer

∴

h 2 = 17.8902m

Depth of Water at Point 2 given Discharge of Two Wells under Consideration Formula Elements

Variables

Constants

Functions

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

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

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

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

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

log

Logarithmic function is an inverse function to exponentiation.

Syntax: log(Base, Number)

Other Formulas to find Depth of Water 2

Go Depth of Water at Point 2 given Discharge from Two Wells with Base 10

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

Other formulas in Depth of Water in Well category

Go Depth of Water in Well given Discharge in Unconfined Aquifer

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

Go Depth of Water at Point 1 given Discharge of Two Wells under Consideration

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

Go Depth of Water at Point 1 given Discharge from Two Wells with Base 10

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

Go Depth of Water in Well given Drawdown Value measured at Well

h d' = H - s t

How to Evaluate Depth of Water at Point 2 given Discharge of Two Wells under Consideration?

Depth of Water at Point 2 given Discharge of Two Wells under Consideration evaluator uses Depth of Water 2 = sqrt(Depth of Water 1^2+(Discharge*log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),e))/(pi*Coefficient of Permeability in Well Hydraulics)) to evaluate the Depth of Water 2, The Depth of Water at Point 2 given Discharge of Two Wells under Consideration formula is defined as the calculation of the value of depth of water at point 2 when we have prior information of discharge of two wells under consideration. Depth of Water 2 is denoted by h₂ symbol.

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

FAQs on Depth of Water at Point 2 given Discharge of Two Wells under Consideration

What is the formula to find Depth of Water at Point 2 given Discharge of Two Wells under Consideration?

The formula of Depth of Water at Point 2 given Discharge of Two Wells under Consideration is expressed as Depth of Water 2 = sqrt(Depth of Water 1^2+(Discharge*log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),e))/(pi*Coefficient of Permeability in Well Hydraulics)). Here is an example- 17.89025 = sqrt(17.85^2+(1.01*log((10/1.07),e))/(pi*0.1)).

How to calculate Depth of Water at Point 2 given Discharge of Two Wells under Consideration?

With Depth of Water 1 (h₁), Discharge (Q), Radial Distance at Observation Well 2 (r₂), Radial Distance at Observation Well 1 (r₁) & Coefficient of Permeability in Well Hydraulics (K_WH) we can find Depth of Water at Point 2 given Discharge of Two Wells under Consideration using the formula - Depth of Water 2 = sqrt(Depth of Water 1^2+(Discharge*log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),e))/(pi*Coefficient of Permeability in Well Hydraulics)). This formula also uses Archimedes' constant and , Square Root (sqrt), Logarithmic Inverse (log) function(s).

What are the other ways to Calculate Depth of Water 2?

Here are the different ways to Calculate Depth of Water 2-

Depth of Water 2=sqrt(Depth of Water 1^2+(Discharge*log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),10))/(1.36*Coefficient of Permeability in Well Hydraulics))

Can the Depth of Water at Point 2 given Discharge of Two Wells under Consideration be negative?

Yes, the Depth of Water at Point 2 given Discharge of Two Wells under Consideration, measured in Length can be negative.

Which unit is used to measure Depth of Water at Point 2 given Discharge of Two Wells under Consideration?

Depth of Water at Point 2 given Discharge of Two Wells under Consideration is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Depth of Water at Point 2 given Discharge of Two Wells under Consideration can be measured.

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Depth of Water at Point 2 given Discharge of Two Wells under Consideration Formula

​GoDepth of Water at Point 2 given Discharge from Two Wells with Base 10 Formula

Depth of Water at Point 2 given Discharge of Two Wells under Consideration Example

Depth of Water at Point 2 given Discharge of Two Wells under Consideration Solution

Depth of Water at Point 2 given Discharge of Two Wells under Consideration Formula Elements

Other Formulas to find Depth of Water 2

Other formulas in Depth of Water in Well category

How to Evaluate Depth of Water at Point 2 given Discharge of Two Wells under Consideration?

FAQs on Depth of Water at Point 2 given Discharge of Two Wells under Consideration

Variable Name

GoDepth of Water at Point 2 given Discharge from Two Wells with Base 10 Formula