Equilibrium Equation for Well in Unconfined Aquifer Calculator

✖The coefficient of permeability of an unconfined well aquifer is the rate at which fluid penetrates the soil of a well in an unconfined aquifer.ⓘ Coefficient of Permeability of an unconfined well [K]			+10% -10%
✖Water Table Depth 2 at any given time is to measure the water level at a different point.ⓘ Water Table Depth 2 [h₂]			+10% -10%
✖Water Table Depth at any given time is to measure the water level at a specific point.ⓘ Water Table Depth [h₁]			+10% -10%
✖Radial Distance at Observation Well 2 is the value of radial distance from well 2 when we have prior information of other parameters used.ⓘ Radial Distance at Observation Well 2 [r₂]			+10% -10%
✖Radial Distance at Observation Well 1 is the value of radial distance from well 1 when we have prior information of other parameters used.ⓘ Radial Distance at Observation Well 1 [r₁]			+10% -10%

✖The steady flow of an Unconfined Aquifer is the rate at which the fluid discharges into the well of an unconfined auifer.ⓘ Equilibrium Equation for Well in Unconfined Aquifer [Q_u]

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Equilibrium Equation for Well in Unconfined Aquifer

Formula

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

Example

`"71.79258m³/s"=pi*"9cm/s"*(("45m")^2-("43m")^2)/ln("10.0m"/"5.0m")`

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Equilibrium Equation for Well in Unconfined Aquifer Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Steady Flow of an Unconfined Aquifer - (Measured in Cubic Meter per Second) - The steady flow of an Unconfined Aquifer is the rate at which the fluid discharges into the well of an unconfined auifer.
Coefficient of Permeability of an unconfined well - (Measured in Meter per Second) - The coefficient of permeability of an unconfined well aquifer is the rate at which fluid penetrates the soil of a well in an unconfined aquifer.
Water Table Depth 2 - (Measured in Meter) - Water Table Depth 2 at any given time is to measure the water level at a different point.
Water Table Depth - (Measured in Meter) - Water Table Depth at any given time is to measure the water level at a specific point.
Radial Distance at Observation Well 2 - (Measured in Meter) - Radial Distance at Observation Well 2 is the value of radial distance from well 2 when we have prior information of other parameters used.
Radial Distance at Observation Well 1 - (Measured in Meter) - Radial Distance at Observation Well 1 is the value of radial distance from well 1 when we have prior information of other parameters used.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Permeability of an unconfined well: 9 Centimeter per Second --> 0.09 Meter per Second (Check conversion here)
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

Q_u = pi*K*(h₂^2-h₁^2)/ln(r₂/r₁) --> pi*0.09*(45^2-43^2)/ln(10/5)

Evaluating ... ...

Q_u = 71.7925846465427

STEP 3: Convert Result to Output's Unit

71.7925846465427 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

71.7925846465427 ≈ 71.79258 Cubic Meter per Second <-- Steady Flow of an Unconfined Aquifer

(Calculation completed in 00.004 seconds)

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Coorg Institute of Technology (CIT), Coorg

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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 of an unconfined well)))

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 of an unconfined well)+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 of an unconfined well*(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 of an unconfined well = 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 of an unconfined well*(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 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 Equilibrium Equation for Well in Unconfined Aquifer?

Equilibrium Equation for Well in Unconfined Aquifer calculator uses Steady Flow of an Unconfined Aquifer = pi*Coefficient of Permeability of an unconfined well*(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 Steady Flow of an Unconfined Aquifer, The Equilibrium Equation for Well in Unconfined Aquifer is volumetric flow rate of water that is transported through given cross-sectional area. Steady Flow of an Unconfined Aquifer is denoted by Q_u symbol.

How to calculate Equilibrium Equation for Well in Unconfined Aquifer using this online calculator? To use this online calculator for Equilibrium Equation for Well in Unconfined Aquifer, enter Coefficient of Permeability of an unconfined well (K), 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 Equilibrium Equation for Well in Unconfined Aquifer calculation can be explained with given input values -> 71.79258 = pi*0.09*(45^2-43^2)/ln(10/5).

FAQ

What is Equilibrium Equation for Well in Unconfined Aquifer?

The Equilibrium Equation for Well in Unconfined Aquifer is volumetric flow rate of water that is transported through given cross-sectional area and is represented as Q_u = pi*K*(h₂^2-h₁^2)/ln(r₂/r₁) or Steady Flow of an Unconfined Aquifer = pi*Coefficient of Permeability of an unconfined well*(Water Table Depth 2^2-Water Table Depth^2)/ln(Radial Distance at Observation Well 2/Radial Distance at Observation Well 1). The coefficient of permeability of an unconfined well aquifer is the rate at which fluid penetrates the soil of a well in an unconfined aquifer, Water Table Depth 2 at any given time is to measure the water level at a different point, Water Table Depth at any given time is to measure the water level at a specific point, Radial Distance at Observation Well 2 is the value of radial distance from well 2 when we have prior information of other parameters used & Radial Distance at Observation Well 1 is the value of radial distance from well 1 when we have prior information of other parameters used.

How to calculate Equilibrium Equation for Well in Unconfined Aquifer?

The Equilibrium Equation for Well in Unconfined Aquifer is volumetric flow rate of water that is transported through given cross-sectional area is calculated using Steady Flow of an Unconfined Aquifer = pi*Coefficient of Permeability of an unconfined well*(Water Table Depth 2^2-Water Table Depth^2)/ln(Radial Distance at Observation Well 2/Radial Distance at Observation Well 1). To calculate Equilibrium Equation for Well in Unconfined Aquifer, you need Coefficient of Permeability of an unconfined well (K), 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 Coefficient of Permeability of an unconfined well, 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.

How many ways are there to calculate Steady Flow of an Unconfined Aquifer?

In this formula, Steady Flow of an Unconfined Aquifer uses Coefficient of Permeability of an unconfined well, Water Table Depth 2, Water Table Depth, Radial Distance at Observation Well 2 & Radial Distance at Observation Well 1. We can use 1 other way(s) to calculate the same, which is/are as follows -

Steady Flow of an Unconfined Aquifer = pi*Coefficient of Permeability of an unconfined well*(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)

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