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Coefficient of Permeability when Equilibrium Equation for Well in Unconfined Aquifer Formula

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

K = \frac{Q u}{π \cdot \frac{{H 2}^{2} - {H 1}^{2}}{\ln (\frac{r 2}{r 1})}}

K - Coefficient of Permeability?Q_u - Steady Flow of an Unconfined Aquifer?H₂ - Water Table Depth 2?H₁ - Water Table Depth?r₂ - Radial Distance at Observation Well 2?r₁ - Radial Distance at Observation Well 1?π - Archimedes' constant?

Coefficient of Permeability when Equilibrium Equation for Well in Unconfined Aquifer Example

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Here is how the Coefficient of Permeability when Equilibrium Equation for Well in Unconfined Aquifer equation looks like with Values.

Here is how the Coefficient of Permeability when Equilibrium Equation for Well in Unconfined Aquifer equation looks like with Units.

Here is how the Coefficient of Permeability when Equilibrium Equation for Well in Unconfined Aquifer equation looks like.

8.1485 = \frac{65}{3.1416 \cdot \frac{45^{2} - 43^{2}}{\ln (\frac{10}{5})}}

8.1485cm/s = \frac{65m³/s}{3.1416 \cdot \frac{{45m}^{2} - {43m}^{2}}{\ln (\frac{10m}{5m})}}

8.1485 = \frac{65}{3.1416 \cdot \frac{45^{2} - 43^{2}}{\ln (\frac{10}{5})}}

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Coefficient of Permeability when Equilibrium Equation for Well in Unconfined Aquifer Solution

Follow our step by step solution on how to calculate Coefficient of Permeability when Equilibrium Equation for Well in Unconfined Aquifer?

FIRST Step Consider the formula

K = \frac{Q u}{π \cdot \frac{{H 2}^{2} - {H 1}^{2}}{\ln (\frac{r 2}{r 1})}}

Next Step Substitute values of Variables

∴

K = \frac{65m³/s}{π \cdot \frac{{45m}^{2} - {43m}^{2}}{\ln (\frac{10m}{5m})}}

Next Step Substitute values of Constants

∴

K = \frac{65m³/s}{3.1416 \cdot \frac{{45m}^{2} - {43m}^{2}}{\ln (\frac{10m}{5m})}}

Next Step Prepare to Evaluate

∴

K = \frac{65}{3.1416 \cdot \frac{45^{2} - 43^{2}}{\ln (\frac{10}{5})}}

Next Step Evaluate

∴

K = 0.0814847386927407m/s

Next Step Convert to Output's Unit

∴

K = 8.14847386927407cm/s

LAST Step Rounding Answer

∴

K = 8.1485cm/s

Coefficient of Permeability when Equilibrium Equation for Well in Unconfined Aquifer Formula Elements

Variables

Constants

Functions

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

Steady Flow of an Unconfined Aquifer

The Steady Flow of an Unconfined Aquifer refers to a condition where the groundwater flow rate and the water table level remain constant over time.

Symbol: Q_u

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Steady Flow of an Unconfined Aquifer

Water Table Depth 2

The Water Table Depth 2 refers to the vertical distance from the ground surface down to the water table, which is the upper surface of the zone of saturation where the soil or rock is fully saturated.

Symbol: H₂

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Water Table Depth 2

Water Table Depth

The Water Table Depth refers to the vertical distance from the ground surface down to the water table, which is the upper surface of the zone of saturation where the soil or rock is fully saturated.

Symbol: H₁

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Water Table Depth

Radial Distance at Observation Well 2

The Radial Distance at Observation Well 2 refers to the refers to the horizontal distance from the center of a pumping well to the observation well.

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

The Radial Distance at Observation Well 1 refers to the refers to the horizontal distance from the center of a pumping well to the observation well.

Symbol: r₁

Measurement: LengthUnit: m

Note: Value can be positive or negative.

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

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other formulas in Unconfined Flow category

Go Equilibrium Equation for Well in Unconfined Aquifer

Q u = π \cdot K \cdot \frac{{H 2}^{2} - {H 1}^{2}}{\ln (\frac{r 2}{r 1})}

Go Discharge at Edge of Zone of Influence

Q u = π \cdot K \cdot \frac{H^{2} - {h w}^{2}}{\ln (\frac{r}{R w})}

Go Saturated Thickness of Aquifer when Steady Flow of Unconfined Aquifer is Considered

H = \sqrt{\frac{Q u \cdot \ln (\frac{r}{R w})}{π \cdot K} + {h w}^{2}}

Go Depth of Water in Pumping Well when Steady Flow in Unconfined Aquifer is Considered

h w = \sqrt{{(H)}^{2} - (\frac{Q u \cdot \ln (\frac{r}{R w})}{π \cdot K})}

How to Evaluate Coefficient of Permeability when Equilibrium Equation for Well in Unconfined Aquifer?

Coefficient of Permeability when Equilibrium Equation for Well in Unconfined Aquifer evaluator uses Coefficient of Permeability = Steady Flow of an Unconfined Aquifer/(pi*(Water Table Depth 2^2-Water Table Depth^2)/ln(Radial Distance at Observation Well 2/Radial Distance at Observation Well 1)) to evaluate the Coefficient of Permeability, The Coefficient of Permeability when Equilibrium Equation for Well in Unconfined Aquifer formula is defined as measure of capacity of soil with which water can easily flow through it. Coefficient of Permeability is denoted by K symbol.

How to evaluate Coefficient of Permeability when Equilibrium Equation for Well in Unconfined Aquifer using this online evaluator? To use this online evaluator for Coefficient of Permeability when Equilibrium Equation for Well in Unconfined Aquifer, enter Steady Flow of an Unconfined Aquifer (Q_u), Water Table Depth 2 (H₂), Water Table Depth (H₁), Radial Distance at Observation Well 2 (r₂) & Radial Distance at Observation Well 1 (r₁) and hit the calculate button.

FAQs on Coefficient of Permeability when Equilibrium Equation for Well in Unconfined Aquifer

What is the formula to find Coefficient of Permeability when Equilibrium Equation for Well in Unconfined Aquifer?

The formula of Coefficient of Permeability when Equilibrium Equation for Well in Unconfined Aquifer is expressed as Coefficient of Permeability = Steady Flow of an Unconfined Aquifer/(pi*(Water Table Depth 2^2-Water Table Depth^2)/ln(Radial Distance at Observation Well 2/Radial Distance at Observation Well 1)). Here is an example- 814.8474 = 65/(pi*(45^2-43^2)/ln(10/5)).

How to calculate Coefficient of Permeability when Equilibrium Equation for Well in Unconfined Aquifer?

With Steady Flow of an Unconfined Aquifer (Q_u), Water Table Depth 2 (H₂), Water Table Depth (H₁), Radial Distance at Observation Well 2 (r₂) & Radial Distance at Observation Well 1 (r₁) we can find Coefficient of Permeability when Equilibrium Equation for Well in Unconfined Aquifer using the formula - Coefficient of Permeability = Steady Flow of an Unconfined Aquifer/(pi*(Water Table Depth 2^2-Water Table Depth^2)/ln(Radial Distance at Observation Well 2/Radial Distance at Observation Well 1)). This formula also uses Archimedes' constant and Natural Logarithm (ln) function(s).

Can the Coefficient of Permeability when Equilibrium Equation for Well in Unconfined Aquifer be negative?

No, the Coefficient of Permeability when Equilibrium Equation for Well in Unconfined Aquifer, measured in Speed cannot be negative.

Which unit is used to measure Coefficient of Permeability when Equilibrium Equation for Well in Unconfined Aquifer?

Coefficient of Permeability when Equilibrium Equation for Well in Unconfined Aquifer is usually measured using the Centimeter per Second[cm/s] for Speed. Meter per Second[cm/s], Meter per Minute[cm/s], Meter per Hour[cm/s] are the few other units in which Coefficient of Permeability when Equilibrium Equation for Well in Unconfined Aquifer can be measured.

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Coefficient of Permeability when Equilibrium Equation for Well in Unconfined Aquifer Formula

Coefficient of Permeability when Equilibrium Equation for Well in Unconfined Aquifer Example

Coefficient of Permeability when Equilibrium Equation for Well in Unconfined Aquifer Solution

Coefficient of Permeability when Equilibrium Equation for Well in Unconfined Aquifer Formula Elements

Other formulas in Unconfined Flow category

How to Evaluate Coefficient of Permeability when Equilibrium Equation for Well in Unconfined Aquifer?

FAQs on Coefficient of Permeability when Equilibrium Equation for Well in Unconfined Aquifer

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