✖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.ⓘ Steady Flow of an Unconfined Aquifer [Q_u]			+10% -10%
✖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.ⓘ Water Table Depth 2 [H₂]			+10% -10%
✖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.ⓘ Water Table Depth [H₁]			+10% -10%
✖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.ⓘ Radial Distance at Observation Well 2 [r₂]			+10% -10%
✖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.ⓘ Radial Distance at Observation Well 1 [r₁]			+10% -10%

✖The Coefficient of Permeability of soil describes how easily a liquid will move through the soil.ⓘ Coefficient of Permeability when Equilibrium Equation for Well in Unconfined Aquifer [K]

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Formula

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Coefficient of Permeability when Equilibrium Equation for Well in Unconfined Aquifer

Formula

`"K" = "Q"_{"u"}/(pi*("H"_{"2"}^2-"H"_{"1"}^2)/ln("r"_{"2"}/"r"_{"1"}))`

Example

`"8.148474cm/s"="65m³/s"/(pi*(("45m")^2-("43m")^2)/ln("10.0m"/"5.0m"))`

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

STEP 0: Pre-Calculation Summary

Formula Used

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))
K = Q_u/(pi*(H₂^2-H₁^2)/ln(r₂/r₁))
This formula uses 1 Constants, 1 Functions, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Coefficient of Permeability - (Measured in Meter per Second) - The Coefficient of Permeability of soil describes how easily a liquid will move through the soil.
Steady Flow of an Unconfined Aquifer - (Measured in Cubic Meter per Second) - 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.
Water Table Depth 2 - (Measured in Meter) - 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.
Water Table Depth - (Measured in Meter) - 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.
Radial Distance at Observation Well 2 - (Measured in Meter) - 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.
Radial Distance at Observation Well 1 - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Steady Flow of an Unconfined Aquifer: 65 Cubic Meter per Second --> 65 Cubic Meter per Second No Conversion Required
Water Table Depth 2: 45 Meter --> 45 Meter No Conversion Required
Water Table Depth: 43 Meter --> 43 Meter No Conversion Required
Radial Distance at Observation Well 2: 10 Meter --> 10 Meter No Conversion Required
Radial Distance at Observation Well 1: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K = Q_u/(pi*(H₂^2-H₁^2)/ln(r₂/r₁)) --> 65/(pi*(45^2-43^2)/ln(10/5))

Evaluating ... ...

K = 0.0814847386927407

STEP 3: Convert Result to Output's Unit

0.0814847386927407 Meter per Second -->8.14847386927407 Centimeter per Second (Check conversion here)

FINAL ANSWER

8.14847386927407 ≈ 8.148474 Centimeter per Second <-- Coefficient of Permeability

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Engineering Hydrology » Groundwater Hydrology » Unconfined Flow » Coefficient of Permeability when Equilibrium Equation for Well in Unconfined Aquifer

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< 5 Unconfined Flow Calculators

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

Go Depth of Water in the Pumping Well = sqrt((Saturated Thickness of the Aquifer)^2-((Steady Flow of an Unconfined Aquifer*ln(Radius at the Edge of Zone of Influence/Radius of the Pumping Well))/(pi*Coefficient of Permeability)))

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

Go Saturated Thickness of the Aquifer = sqrt((Steady Flow of an Unconfined Aquifer*ln(Radius at the Edge of Zone of Influence/Radius of the Pumping Well))/(pi*Coefficient of Permeability)+Depth of Water in the Pumping Well^2)

Discharge at Edge of Zone of Influence

Go Steady Flow of an Unconfined Aquifer = pi*Coefficient of Permeability*(Saturated Thickness of the Aquifer^2-Depth of Water in the Pumping Well^2)/ln(Radius at the Edge of Zone of Influence/Radius of the Pumping Well)

Coefficient of Permeability when Equilibrium Equation for Well in Unconfined Aquifer

Go 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))

Equilibrium Equation for Well in Unconfined Aquifer

Go Steady Flow of an Unconfined Aquifer = pi*Coefficient of Permeability*(Water Table Depth 2^2-Water Table Depth^2)/ln(Radial Distance at Observation Well 2/Radial Distance at Observation Well 1)

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

What is Groundwater Recharge?

Groundwater Recharge or deep drainage or deep percolation is a hydrologic process, where water moves downward from surface water to groundwater. Recharge is the primary method through which water enters an aquifer . This process usually occurs in the vadose zone below plant roots and, is often expressed as a flux to the water table surface.

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

Coefficient of Permeability when Equilibrium Equation for Well in Unconfined Aquifer calculator 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 calculate 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 calculate Coefficient of Permeability when Equilibrium Equation for Well in Unconfined Aquifer using this online calculator? To use this online calculator 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. Here is how the Coefficient of Permeability when Equilibrium Equation for Well in Unconfined Aquifer calculation can be explained with given input values -> 814.8474 = 65/(pi*(45^2-43^2)/ln(10/5)).

FAQ

What is Coefficient of Permeability when Equilibrium Equation for Well in Unconfined Aquifer?

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 and is represented as K = Q_u/(pi*(H₂^2-H₁^2)/ln(r₂/r₁)) or 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)). 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, 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, 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, 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 & 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.

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

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 is calculated using 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 calculate Coefficient of Permeability when Equilibrium Equation for Well in Unconfined Aquifer, you need 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). With our tool, you need to enter the respective value for Steady Flow of an Unconfined Aquifer, Water Table Depth 2, Water Table Depth, Radial Distance at Observation Well 2 & Radial Distance at Observation Well 1 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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