✖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 Radius at the Edge of Zone of Influence refers to the maximum distance from a pumping well where the effects of drawdown (lowering of the water table) can be detected.ⓘ Radius at the Edge of Zone of Influence [r]			+10% -10%
✖The Radius of the Pumping Well refers to the physical radius of the well itself, typically measured from the center of the well to its outer edge.ⓘ Radius of the Pumping Well [R_w]			+10% -10%
✖The Coefficient of Permeability of soil describes how easily a liquid will move through the soil.ⓘ Coefficient of Permeability [K]			+10% -10%
✖The Depth of Water in the Pumping Well refers to the 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%

✖The Saturated Thickness of the Aquifer refers to the vertical height of the aquifer in which the pore spaces are completely filled with water.ⓘ Saturated Thickness of Aquifer when Steady Flow of Unconfined Aquifer is Considered [H]

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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)`

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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)+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) - The Saturated Thickness of the Aquifer refers to the vertical height of the aquifer in which the pore spaces are completely filled with water.
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.
Radius at the Edge of Zone of Influence - (Measured in Meter) - The Radius at the Edge of Zone of Influence refers to the maximum distance from a pumping well where the effects of drawdown (lowering of the water table) can be detected.
Radius of the Pumping Well - (Measured in Meter) - The Radius of the Pumping Well refers to the physical radius of the well itself, typically measured from the center of the well to its outer edge.
Coefficient of Permeability - (Measured in Meter per Second) - The Coefficient of Permeability of soil describes how easily a liquid will move through the soil.
Depth of Water in the Pumping Well - (Measured in Meter) - The Depth of Water in the Pumping Well refers to the 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: 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)

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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)

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)+Depth of Water in the Pumping Well^2) to calculate the Saturated Thickness of the Aquifer, The Saturated Thickness of Aquifer when Steady Flow of Unconfined Aquifer is Considered formula 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 (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?

The Saturated Thickness of Aquifer when Steady Flow of Unconfined Aquifer is Considered formula 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)+Depth of Water in the Pumping Well^2). 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 Radius at the Edge of Zone of Influence refers to the maximum distance from a pumping well where the effects of drawdown (lowering of the water table) can be detected, The Radius of the Pumping Well refers to the physical radius of the well itself, typically measured from the center of the well to its outer edge, The Coefficient of Permeability of soil describes how easily a liquid will move through the soil & The Depth of Water in the Pumping Well refers to the 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?

The Saturated Thickness of Aquifer when Steady Flow of Unconfined Aquifer is Considered formula 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)+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 (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 & 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.

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