Discharge at edge of zone of influence 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%
✖Saturated Thickness of the Aquifer is defined as the distance from the water table to the base of the aquifer.ⓘ Saturated Thickness of the Aquifer [H]			+10% -10%
✖Depth of Water in the Pumping Well, A Pumping Well is a well in which pumping is required to increase the formation pressure to allow the free production flow.ⓘ Depth of Water in the Pumping Well [h_w]			+10% -10%
✖Radius at the edge of Zone of Influence which is an area of engineering soils likely to be affected by loading due to engineering or building development.ⓘ Radius at the edge of Zone of Influence [R]			+10% -10%
✖Radius of the Pumping Well at the edge of zone of influence. A Pumping Well is a well in which pumping is required to increase the formation pressure to allow the free production flow.ⓘ Radius of the Pumping Well [R_w]			+10% -10%

✖The steady flow of an Unconfined Aquifer is the rate at which the fluid discharges into the well of an unconfined auifer.ⓘ Discharge at edge of zone of influence [Q_u]

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Formula

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Discharge at edge of zone of influence

Formula

`"Q"_{"u"} = pi*"K"*("H"^2-"h"_{"w"}^2)/ln("R"/"R"_{"w"})`

Example

`"64.38969m³/s"=pi*"9cm/s"*(("35m")^2-("30m")^2)/ln("25m"/"6m")`

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Discharge at edge of zone of influence Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
Q_u = pi*K*(H^2-h_w^2)/ln(R/R_w)
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.
Saturated Thickness of the Aquifer - (Measured in Meter) - Saturated Thickness of the Aquifer is defined as the distance from the water table to the base of the aquifer.
Depth of Water in the Pumping Well - (Measured in Meter) - Depth of Water in the Pumping Well, A Pumping Well is a well in which pumping is required to increase the formation pressure to allow the free production flow.
Radius at the edge of Zone of Influence - (Measured in Meter) - Radius at the edge of Zone of Influence which is an area of engineering soils likely to be affected by loading due to engineering or building development.
Radius of the Pumping Well - (Measured in Meter) - Radius of the Pumping Well at the edge of zone of influence. A Pumping Well is a well in which pumping is required to increase the formation pressure to allow the free production flow.

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)
Saturated Thickness of the Aquifer: 35 Meter --> 35 Meter No Conversion Required
Depth of Water in the Pumping Well: 30 Meter --> 30 Meter No Conversion Required
Radius at the edge of Zone of Influence: 25 Meter --> 25 Meter No Conversion Required
Radius of the Pumping Well: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_u = pi*K*(H^2-h_w^2)/ln(R/R_w) --> pi*0.09*(35^2-30^2)/ln(25/6)

Evaluating ... ...

Q_u = 64.3896937725745

STEP 3: Convert Result to Output's Unit

64.3896937725745 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

64.3896937725745 ≈ 64.38969 Cubic Meter per Second <-- Steady Flow of an Unconfined Aquifer

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Engineering Hydrology » Groundwater Hydrology » Unconfined Flow » Discharge at edge of zone of influence

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

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National Institute of Technology (NIT), Warangal

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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)

Discharge at edge of zone of influence Formula

What are the Zones of Groundwater?

Groundwater is found in two zones. The unsaturated zone, immediately below the land surface, contains water and air in the open spaces, or pores. The saturated zone, a zone in which all the pores and rock fractures are filled with water, underlies the unsaturated zone.

How to Calculate Discharge at edge of zone of influence?

Discharge at edge of zone of influence calculator uses 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) to calculate the Steady Flow of an Unconfined Aquifer, The Discharge at edge of zone of influence is the volumetric flow rate of water that is transported through a given cross-sectional area. Steady Flow of an Unconfined Aquifer is denoted by Q_u symbol.

How to calculate Discharge at edge of zone of influence using this online calculator? To use this online calculator for Discharge at edge of zone of influence, enter Coefficient of Permeability of an unconfined well (K), Saturated Thickness of the Aquifer (H), Depth of Water in the Pumping Well (h_w), Radius at the edge of Zone of Influence (R) & Radius of the Pumping Well (R_w) and hit the calculate button. Here is how the Discharge at edge of zone of influence calculation can be explained with given input values -> 64.38969 = pi*0.09*(35^2-30^2)/ln(25/6).

FAQ

What is Discharge at edge of zone of influence?

The Discharge at edge of zone of influence is the volumetric flow rate of water that is transported through a given cross-sectional area and is represented as Q_u = pi*K*(H^2-h_w^2)/ln(R/R_w) or 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). 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, Saturated Thickness of the Aquifer is defined as the distance from the water table to the base of the aquifer, Depth of Water in the Pumping Well, A Pumping Well is a well in which pumping is required to increase the formation pressure to allow the free production flow, Radius at the edge of Zone of Influence which is an area of engineering soils likely to be affected by loading due to engineering or building development & Radius of the Pumping Well at the edge of zone of influence. A Pumping Well is a well in which pumping is required to increase the formation pressure to allow the free production flow.

How to calculate Discharge at edge of zone of influence?

The Discharge at edge of zone of influence is the volumetric flow rate of water that is transported through a given cross-sectional area is calculated using 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). To calculate Discharge at edge of zone of influence, you need Coefficient of Permeability of an unconfined well (K), Saturated Thickness of the Aquifer (H), Depth of Water in the Pumping Well (h_w), Radius at the edge of Zone of Influence (R) & Radius of the Pumping Well (R_w). With our tool, you need to enter the respective value for Coefficient of Permeability of an unconfined well, Saturated Thickness of the Aquifer, Depth of Water in the Pumping Well, Radius at the edge of Zone of Influence & Radius of the Pumping Well 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, Saturated Thickness of the Aquifer, Depth of Water in the Pumping Well, Radius at the edge of Zone of Influence & Radius of the Pumping Well. 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*(Water Table Depth 2^2-Water Table Depth^2)/ln(Radial Distance at Observation Well 2/Radial Distance at Observation Well 1)

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