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Radial Distance of Well 1 based on Discharge of Two Wells under Consideration Formula

GoRadial Distance of Well 1 based on Discharge from Two Wells with Base 10 Formula

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

R 1 = \frac{r 2}{\exp (\frac{π \cdot K soil \cdot ({h 2}^{2} - {h 1}^{2})}{Q})}

R₁ - Radial Distance 1?r₂ - Radial Distance at Observation Well 2?K_soil - Coefficient of Permeability of Soil Particle?h₂ - Depth of Water 2?h₁ - Depth of Water 1?Q - Discharge?π - Archimedes' constant?

Radial Distance of Well 1 based on Discharge of Two Wells under Consideration Example

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Here is how the Radial Distance of Well 1 based on Discharge of Two Wells under Consideration equation looks like with Values.

Here is how the Radial Distance of Well 1 based on Discharge of Two Wells under Consideration equation looks like with Units.

Here is how the Radial Distance of Well 1 based on Discharge of Two Wells under Consideration equation looks like.

9.9998 = \frac{10}{\exp (\frac{3.1416 \cdot 0.001 \cdot ({17.8644}^{2} - {17.85}^{2})}{1.01})}

9.9998m = \frac{10m}{\exp (\frac{3.1416 \cdot 0.001cm/s \cdot ({17.8644m}^{2} - {17.85m}^{2})}{1.01m³/s})}

9.9998 = \frac{10}{\exp (\frac{3.1416 \cdot 0.001 \cdot ({17.8644}^{2} - {17.85}^{2})}{1.01})}

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Radial Distance of Well 1 based on Discharge of Two Wells under Consideration Solution

Follow our step by step solution on how to calculate Radial Distance of Well 1 based on Discharge of Two Wells under Consideration?

FIRST Step Consider the formula

R 1 = \frac{r 2}{\exp (\frac{π \cdot K soil \cdot ({h 2}^{2} - {h 1}^{2})}{Q})}

Next Step Substitute values of Variables

∴

R 1 = \frac{10m}{\exp (\frac{π \cdot 0.001cm/s \cdot ({17.8644m}^{2} - {17.85m}^{2})}{1.01m³/s})}

Next Step Substitute values of Constants

∴

R 1 = \frac{10m}{\exp (\frac{3.1416 \cdot 0.001cm/s \cdot ({17.8644m}^{2} - {17.85m}^{2})}{1.01m³/s})}

Next Step Convert Units

∴

R 1 = \frac{10m}{\exp (\frac{3.1416 \cdot 1E-5m/s \cdot ({17.8644m}^{2} - {17.85m}^{2})}{1.01m³/s})}

Next Step Prepare to Evaluate

∴

R 1 = \frac{10}{\exp (\frac{3.1416 \cdot 1E-5 \cdot ({17.8644}^{2} - {17.85}^{2})}{1.01})}

Next Step Evaluate

∴

R 1 = 9.99984003282483m

LAST Step Rounding Answer

∴

R 1 = 9.9998m

Radial Distance of Well 1 based on Discharge of Two Wells under Consideration Formula Elements

Variables

Constants

Functions

Radial Distance 1

Radial Distance 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 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

Coefficient of Permeability of Soil Particle

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

Symbol: K_soil

Measurement: SpeedUnit: cm/s

Note: Value can be positive or negative.

Formulas to find Coefficient of Permeability of Soil Particle

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

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

exp

n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable.

Syntax: exp(Number)

Other Formulas to find Radial Distance 1

Go Radial Distance of Well 1 based on Discharge from Two Wells with Base 10

R 1 = \frac{r 2}{10^{\frac{1.36 \cdot K soil \cdot ({h 2}^{2} - {h 1}^{2})}{Q}}}

Other formulas in Radial Distance and Radius of well category

Go Radius of Well based on Discharge in Unconfined Aquifer

r w = \frac{R w}{\exp (\frac{π \cdot K soil \cdot ({H i}^{2} - {h w}^{2})}{Q})}

Go Radius of Well based on Discharge in Unconfined Aquifer with Base 10

r w = \frac{R w}{10^{\frac{1.36 \cdot K soil \cdot ({H i}^{2} - {h w}^{2})}{Q}}}

Go Radial Distance of Well 2 based on Discharge of Two Wells under Consideration

R 2 = r 1 \cdot \exp (\frac{π \cdot K soil \cdot ({h 2}^{2} - {h 1}^{2})}{Q})

Go Radial Distance of Well 2 based on Discharge from Two Wells with Base 10

R 2 = r 1 \cdot 10^{\frac{1.36 \cdot K soil \cdot ({h 2}^{2} - {h 1}^{2})}{Q}}

How to Evaluate Radial Distance of Well 1 based on Discharge of Two Wells under Consideration?

Radial Distance of Well 1 based on Discharge of Two Wells under Consideration evaluator uses Radial Distance 1 = Radial Distance at Observation Well 2/exp((pi*Coefficient of Permeability of Soil Particle*(Depth of Water 2^2-Depth of Water 1^2))/Discharge) to evaluate the Radial Distance 1, The Radial Distance of Well 1 based on Discharge of Two Wells under Consideration formula is defined as the calculation of the value of radial distance of well 1st when we have prior information of discharge of two wells under consideration. Radial Distance 1 is denoted by R₁ symbol.

How to evaluate Radial Distance of Well 1 based on Discharge of Two Wells under Consideration using this online evaluator? To use this online evaluator for Radial Distance of Well 1 based on Discharge of Two Wells under Consideration, enter Radial Distance at Observation Well 2 (r₂), Coefficient of Permeability of Soil Particle (K_soil), Depth of Water 2 (h₂), Depth of Water 1 (h₁) & Discharge (Q) and hit the calculate button.

FAQs on Radial Distance of Well 1 based on Discharge of Two Wells under Consideration

What is the formula to find Radial Distance of Well 1 based on Discharge of Two Wells under Consideration?

The formula of Radial Distance of Well 1 based on Discharge of Two Wells under Consideration is expressed as Radial Distance 1 = Radial Distance at Observation Well 2/exp((pi*Coefficient of Permeability of Soil Particle*(Depth of Water 2^2-Depth of Water 1^2))/Discharge). Here is an example- 9.99984 = 10/exp((pi*1E-05*(17.8644^2-17.85^2))/1.01).

How to calculate Radial Distance of Well 1 based on Discharge of Two Wells under Consideration?

With Radial Distance at Observation Well 2 (r₂), Coefficient of Permeability of Soil Particle (K_soil), Depth of Water 2 (h₂), Depth of Water 1 (h₁) & Discharge (Q) we can find Radial Distance of Well 1 based on Discharge of Two Wells under Consideration using the formula - Radial Distance 1 = Radial Distance at Observation Well 2/exp((pi*Coefficient of Permeability of Soil Particle*(Depth of Water 2^2-Depth of Water 1^2))/Discharge). This formula also uses Archimedes' constant and Exponential Growth (exp) function(s).

What are the other ways to Calculate Radial Distance 1?

Here are the different ways to Calculate Radial Distance 1-

Radial Distance 1=Radial Distance at Observation Well 2/10^((1.36*Coefficient of Permeability of Soil Particle*(Depth of Water 2^2-Depth of Water 1^2))/Discharge)

Can the Radial Distance of Well 1 based on Discharge of Two Wells under Consideration be negative?

No, the Radial Distance of Well 1 based on Discharge of Two Wells under Consideration, measured in Length cannot be negative.

Which unit is used to measure Radial Distance of Well 1 based on Discharge of Two Wells under Consideration?

Radial Distance of Well 1 based on 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 Radial Distance of Well 1 based on Discharge of Two Wells under Consideration can be measured.

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Radial Distance of Well 1 based on Discharge of Two Wells under Consideration Formula

​GoRadial Distance of Well 1 based on Discharge from Two Wells with Base 10 Formula

Radial Distance of Well 1 based on Discharge of Two Wells under Consideration Example

Radial Distance of Well 1 based on Discharge of Two Wells under Consideration Solution

Radial Distance of Well 1 based on Discharge of Two Wells under Consideration Formula Elements

Other Formulas to find Radial Distance 1

Other formulas in Radial Distance and Radius of well category

How to Evaluate Radial Distance of Well 1 based on Discharge of Two Wells under Consideration?

FAQs on Radial Distance of Well 1 based on Discharge of Two Wells under Consideration

Variable Name

GoRadial Distance of Well 1 based on Discharge from Two Wells with Base 10 Formula