Saturated thickness of aquifer when steady flow of unconfined aquifer is considered Calculator

✖The steady flow of an Unconfined Aquifer is the rate at which the fluid discharges into the well of an unconfined auifer.ⓘ Steady Flow of an Unconfined Aquifer [Q_u]			+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 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%
✖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%

✖Saturated Thickness of the Aquifer is defined as the distance from the water table to the base of the aquifer.ⓘ Saturated thickness of aquifer when steady flow of unconfined aquifer is considered [H]

⎘ Copy

👎

Formula

✖

Saturated thickness of aquifer when steady flow of unconfined aquifer is considered

Formula

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

Example

`"35.04398m"=sqrt(("65m³/s"*ln("25m"/"6m"))/(pi*"9cm/s")+("30m")^2)`

Calculator

LaTeX

Reset

👍

Download Engineering Hydrology Formula PDF

Saturated thickness of aquifer when steady flow of unconfined aquifer is considered Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
H = sqrt((Q_u*ln(R/R_w))/(pi*K)+h_w^2)
This formula uses 1 Constants, 2 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)
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
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.
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.
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.
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.

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
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
Coefficient of Permeability of an unconfined well: 9 Centimeter per Second --> 0.09 Meter per Second (Check conversion here)
Depth of Water in the Pumping Well: 30 Meter --> 30 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H = sqrt((Q_u*ln(R/R_w))/(pi*K)+h_w^2) --> sqrt((65*ln(25/6))/(pi*0.09)+30^2)

Evaluating ... ...

H = 35.0439788627193

STEP 3: Convert Result to Output's Unit

35.0439788627193 Meter --> No Conversion Required

FINAL ANSWER

35.0439788627193 ≈ 35.04398 Meter <-- Saturated Thickness of the Aquifer

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Engineering Hydrology » Groundwater Hydrology » Unconfined Flow » Saturated thickness of aquifer when steady flow of unconfined aquifer is considered

Credits

Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has verified this Calculator and 1700+ more calculators!

< 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)

Saturated thickness of aquifer when steady flow of unconfined aquifer is considered Formula

What is Discharge?

In Hydrology, Discharge is the volumetric flow rate of water that is transported through a given cross-sectional area. It includes any suspended solids, dissolved chemicals, or biologic material in addition to the water itself.

How to Calculate Saturated thickness of aquifer when steady flow of unconfined aquifer is considered?

Saturated thickness of aquifer when steady flow of unconfined aquifer is considered calculator uses 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) to calculate the Saturated Thickness of the Aquifer, Saturated thickness of aquifer when steady flow of unconfined aquifer is considered is defined as overall thickness of underground layer of water-bearing permeable rock, rock fractures or unconsolidated materials. Saturated Thickness of the Aquifer is denoted by H symbol.

How to calculate Saturated thickness of aquifer when steady flow of unconfined aquifer is considered using this online calculator? To use this online calculator for Saturated thickness of aquifer when steady flow of unconfined aquifer is considered, enter Steady Flow of an Unconfined Aquifer (Q_u), Radius at the edge of Zone of Influence (R), Radius of the Pumping Well (R_w), Coefficient of Permeability of an unconfined well (K) & Depth of Water in the Pumping Well (h_w) and hit the calculate button. Here is how the Saturated thickness of aquifer when steady flow of unconfined aquifer is considered calculation can be explained with given input values -> 35.04398 = sqrt((65*ln(25/6))/(pi*0.09)+30^2).

FAQ

What is Saturated thickness of aquifer when steady flow of unconfined aquifer is considered?

Saturated thickness of aquifer when steady flow of unconfined aquifer is considered is defined as overall thickness of underground layer of water-bearing permeable rock, rock fractures or unconsolidated materials and is represented as H = sqrt((Q_u*ln(R/R_w))/(pi*K)+h_w^2) or 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). The steady flow of an Unconfined Aquifer is the rate at which the fluid discharges into the well of an unconfined auifer, 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, 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 & 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.

How to calculate Saturated thickness of aquifer when steady flow of unconfined aquifer is considered?

Saturated thickness of aquifer when steady flow of unconfined aquifer is considered is defined as overall thickness of underground layer of water-bearing permeable rock, rock fractures or unconsolidated materials is calculated using 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). To calculate Saturated thickness of aquifer when steady flow of unconfined aquifer is considered, you need Steady Flow of an Unconfined Aquifer (Q_u), Radius at the edge of Zone of Influence (R), Radius of the Pumping Well (R_w), Coefficient of Permeability of an unconfined well (K) & Depth of Water in the Pumping Well (h_w). With our tool, you need to enter the respective value for Steady Flow of an Unconfined Aquifer, Radius at the edge of Zone of Influence, Radius of the Pumping Well, Coefficient of Permeability of an unconfined well & Depth of Water in the Pumping Well and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search