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

GoDepth of Water at Point 1 given Discharge of Two Wells under Consideration Formula

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

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

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

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

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Here is how the Depth of Water at Point 1 given Discharge from Two Wells with Base 10 equation looks like with Values.

Here is how the Depth of Water at Point 1 given Discharge from Two Wells with Base 10 equation looks like with Units.

Here is how the Depth of Water at Point 1 given Discharge from Two Wells with Base 10 equation looks like.

17.649 = \sqrt{{17.8644}^{2} - \frac{1.01 \cdot \log ((\frac{10}{1.07}), 10)}{1.36 \cdot 10}}

17.649m = \sqrt{{17.8644m}^{2} - \frac{1.01m³/s \cdot \log ((\frac{10m}{1.07m}), 10)}{1.36 \cdot 10cm/s}}

17.649 = \sqrt{{17.8644}^{2} - \frac{1.01 \cdot \log ((\frac{10}{1.07}), 10)}{1.36 \cdot 10}}

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

Follow our step by step solution on how to calculate Depth of Water at Point 1 given Discharge from Two Wells with Base 10?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h 1 = \sqrt{{17.8644m}^{2} - \frac{1.01m³/s \cdot \log ((\frac{10m}{1.07m}), 10)}{1.36 \cdot 10cm/s}}

Next Step Convert Units

∴

h 1 = \sqrt{{17.8644m}^{2} - \frac{1.01m³/s \cdot \log ((\frac{10m}{1.07m}), 10)}{1.36 \cdot 0.1m/s}}

Next Step Prepare to Evaluate

∴

h 1 = \sqrt{{17.8644}^{2} - \frac{1.01 \cdot \log ((\frac{10}{1.07}), 10)}{1.36 \cdot 0.1}}

Next Step Evaluate

∴

h 1 = 17.6489516072321m

LAST Step Rounding Answer

∴

h 1 = 17.649m

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

Variables

Functions

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

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

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

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 1

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}}

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 2 given Discharge of Two Wells under Consideration

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

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}}

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 1 given Discharge from Two Wells with Base 10?

Depth of Water at Point 1 given Discharge from Two Wells with Base 10 evaluator uses Depth of Water 1 = sqrt(Depth of Water 2^2-(Discharge*log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),10))/(1.36*Coefficient of Permeability in Well Hydraulics)) to evaluate the Depth of Water 1, The Depth of Water at Point 1 given Discharge from Two Wells with Base 10 formula is defined as the calculation of the value of depth of water at point 1 when we have prior information of discharge from two wells. Depth of Water 1 is denoted by h₁ symbol.

How to evaluate Depth of Water at Point 1 given Discharge from Two Wells with Base 10 using this online evaluator? To use this online evaluator for Depth of Water at Point 1 given Discharge from Two Wells with Base 10, enter Depth of Water 2 (h₂), 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 1 given Discharge from Two Wells with Base 10

What is the formula to find Depth of Water at Point 1 given Discharge from Two Wells with Base 10?

The formula of Depth of Water at Point 1 given Discharge from Two Wells with Base 10 is expressed as Depth of Water 1 = sqrt(Depth of Water 2^2-(Discharge*log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),10))/(1.36*Coefficient of Permeability in Well Hydraulics)). Here is an example- 17.64895 = sqrt(17.8644^2-(1.01*log((10/1.07),10))/(1.36*0.1)).

How to calculate Depth of Water at Point 1 given Discharge from Two Wells with Base 10?

With Depth of Water 2 (h₂), 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 1 given Discharge from Two Wells with Base 10 using the formula - Depth of Water 1 = sqrt(Depth of Water 2^2-(Discharge*log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),10))/(1.36*Coefficient of Permeability in Well Hydraulics)). This formula also uses Square Root (sqrt), Logarithmic Inverse (log) function(s).

What are the other ways to Calculate Depth of Water 1?

Here are the different ways to Calculate Depth of Water 1-

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

Can the Depth of Water at Point 1 given Discharge from Two Wells with Base 10 be negative?

No, the Depth of Water at Point 1 given Discharge from Two Wells with Base 10, measured in Length cannot be negative.

Which unit is used to measure Depth of Water at Point 1 given Discharge from Two Wells with Base 10?

Depth of Water at Point 1 given Discharge from Two Wells with Base 10 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 1 given Discharge from Two Wells with Base 10 can be measured.

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

​GoDepth of Water at Point 1 given Discharge of Two Wells under Consideration Formula

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

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

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

Other Formulas to find Depth of Water 1

Other formulas in Depth of Water in Well category

How to Evaluate Depth of Water at Point 1 given Discharge from Two Wells with Base 10?

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

Variable Name

GoDepth of Water at Point 1 given Discharge of Two Wells under Consideration Formula