Aquifer Thickness given Confined Aquifer Discharge Calculator

✖Discharge is the rate of flow of a liquid.ⓘ Discharge [Q]			+10% -10%
✖Coefficient of Permeability in Well Hydraulics of soil in well hydraulics describes how easily a liquid will move through the soil.ⓘ Coefficient of Permeability in Well Hydraulics [K_WH]			+10% -10%
✖The Total Drawdown in Well is defined as the reduction in hydraulic head observed at a well in an aquifer, typically due to pumping a well as part of an aquifer test or well test.ⓘ Total Drawdown in Well [s_t]			+10% -10%
✖Radius of Influence measured from the center of the well to the point where drawdown curve meets the original water table.ⓘ Radius of Influence [R_w]			+10% -10%
✖Radius of well is defined as the distance from center of well to its outer boundary.ⓘ Radius of well [r]			+10% -10%

✖Aquifer Thickness (at Midpoint between Equipotential lines) or otherwise is the thickness of aquifer in which the pore spaces of rock forming the aquifer may or may not be with water.ⓘ Aquifer Thickness given Confined Aquifer Discharge [b_w]

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Formula

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Aquifer Thickness given Confined Aquifer Discharge

Formula

`"b"_{"w"} = "Q"/((2*pi*"K"_{"WH"}*"s"_{"t"})/(log(("R"_{"w"}/"r"),e)))`

Example

`"14.15108m"="1.01m³/s"/((2*pi*"10.00cm/s"*"0.83m")/(log(("8.6m"/"7.5m"),e)))`

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Aquifer Thickness given Confined Aquifer Discharge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Aquifer Thickness = Discharge/((2*pi*Coefficient of Permeability in Well Hydraulics*Total Drawdown in Well)/(log((Radius of Influence/Radius of well),e)))
b_w = Q/((2*pi*K_WH*s_t)/(log((R_w/r),e)))
This formula uses 2 Constants, 1 Functions, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
e - Napier's constant Value Taken As 2.71828182845904523536028747135266249

Functions Used

log - Logarithmic function is an inverse function to exponentiation., log(Base, Number)

Variables Used

Aquifer Thickness - (Measured in Meter) - Aquifer Thickness (at Midpoint between Equipotential lines) or otherwise is the thickness of aquifer in which the pore spaces of rock forming the aquifer may or may not be with water.
Discharge - (Measured in Cubic Meter per Second) - Discharge is the rate of flow of a liquid.
Coefficient of Permeability in Well Hydraulics - (Measured in Meter per Second) - Coefficient of Permeability in Well Hydraulics of soil in well hydraulics describes how easily a liquid will move through the soil.
Total Drawdown in Well - (Measured in Meter) - The Total Drawdown in Well is defined as the reduction in hydraulic head observed at a well in an aquifer, typically due to pumping a well as part of an aquifer test or well test.
Radius of Influence - (Measured in Meter) - Radius of Influence measured from the center of the well to the point where drawdown curve meets the original water table.
Radius of well - (Measured in Meter) - Radius of well is defined as the distance from center of well to its outer boundary.

STEP 1: Convert Input(s) to Base Unit

Discharge: 1.01 Cubic Meter per Second --> 1.01 Cubic Meter per Second No Conversion Required
Coefficient of Permeability in Well Hydraulics: 10 Centimeter per Second --> 0.1 Meter per Second (Check conversion here)
Total Drawdown in Well: 0.83 Meter --> 0.83 Meter No Conversion Required
Radius of Influence: 8.6 Meter --> 8.6 Meter No Conversion Required
Radius of well: 7.5 Meter --> 7.5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b_w = Q/((2*pi*K_WH*s_t)/(log((R_w/r),e))) --> 1.01/((2*pi*0.1*0.83)/(log((8.6/7.5),e)))

Evaluating ... ...

b_w = 14.1510762430351

STEP 3: Convert Result to Output's Unit

14.1510762430351 Meter --> No Conversion Required

FINAL ANSWER

14.1510762430351 ≈ 14.15108 Meter <-- Aquifer Thickness

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< 9 Aquifer Thickness Calculators

Thickness of Confined Aquifer given Discharge in Confined Aquifer

Go Aquifer Thickness During Pumping = Discharge/((2*pi*Coefficient of Permeability*(Initial Aquifer Thickness-Depth of Water))/(log((Radius of Influence/Radius of well),e)))

Aquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer

Go Initial Aquifer Thickness = Depth of Water+((Discharge*log((Radius of Influence/Radius of well),e))/(2*pi*Coefficient of Permeability*Aquifer Thickness))

Aquifer Thickness given Depth of Water in Two Wells

Go Aquifer Thickness During Pumping = Discharge/((2.72*Coefficient of Permeability*(Depth of Water 2-Depth of Water 1))/(log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),10)))

Aquifer Thickness from Impermeable Layer given Coefficient of Transmissibility

Go Initial Aquifer Thickness = Depth of Water+((Discharge*log((Radius of Influence/Radius of well),e))/(2*pi*Coefficient of Transmissibility in Enviro. Eng.))

Aquifer Thickness given Confined Aquifer Discharge

Go Aquifer Thickness = Discharge/((2*pi*Coefficient of Permeability in Well Hydraulics*Total Drawdown in Well)/(log((Radius of Influence/Radius of well),e)))

Thickness of Confined Aquifer given Discharge in Confined Aquifer with Base 10

Go Aquifer Thickness During Pumping = Discharge/((2.72*Coefficient of Permeability in Well Hydraulics*(Aquifer Thickness-Depth of Water))/(log((Radius of Influence/Radius of well),10)))

Aquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer with Base 10

Go Initial Aquifer Thickness = Depth of Water+((Discharge*log((Radius of Influence/Radius of well),10))/(2.72*Coefficient of Permeability*Aquifer Thickness))

Aquifer Thickness from Impermeable Layer given Coefficient of Transmissibility with Base 10

Go Initial Aquifer Thickness = Depth of Water+((Discharge*log((Radius of Influence/Radius of well),10))/(2.72*Coefficient of Transmissibility in Enviro. Eng.))

Aquifer Thickness given Confined Aquifer Discharge with Base 10

Go Aquifer Thickness During Pumping = Discharge/((2.72*Coefficient of Permeability*Total Drawdown in Well)/(log((Radius of Influence/Radius of well),10)))

Aquifer Thickness given Confined Aquifer Discharge Formula

Aquifer Thickness = Discharge/((2*pi*Coefficient of Permeability in Well Hydraulics*Total Drawdown in Well)/(log((Radius of Influence/Radius of well),e)))
b_w = Q/((2*pi*K_WH*s_t)/(log((R_w/r),e)))

What is Aquifer?

An aquifer is an underground layer of water-bearing permeable rock, rock fractures or unconsolidated materials (gravel, sand, or silt). Groundwater can be extracted using a water well. The study of water flow in aquifers and the characterization of aquifers is called hydrogeology.

How to Calculate Aquifer Thickness given Confined Aquifer Discharge?

Aquifer Thickness given Confined Aquifer Discharge calculator uses Aquifer Thickness = Discharge/((2*pi*Coefficient of Permeability in Well Hydraulics*Total Drawdown in Well)/(log((Radius of Influence/Radius of well),e))) to calculate the Aquifer Thickness, The Aquifer Thickness given Confined Aquifer Discharge is defined as the value of aquifer thickness when we have prior information of other parameters used. Aquifer Thickness is denoted by b_w symbol.

How to calculate Aquifer Thickness given Confined Aquifer Discharge using this online calculator? To use this online calculator for Aquifer Thickness given Confined Aquifer Discharge, enter Discharge (Q), Coefficient of Permeability in Well Hydraulics (K_WH), Total Drawdown in Well (s_t), Radius of Influence (R_w) & Radius of well (r) and hit the calculate button. Here is how the Aquifer Thickness given Confined Aquifer Discharge calculation can be explained with given input values -> 14.15108 = 1.01/((2*pi*0.1*0.83)/(log((8.6/7.5),e))).

FAQ

What is Aquifer Thickness given Confined Aquifer Discharge?

The Aquifer Thickness given Confined Aquifer Discharge is defined as the value of aquifer thickness when we have prior information of other parameters used and is represented as b_w = Q/((2*pi*K_WH*s_t)/(log((R_w/r),e))) or Aquifer Thickness = Discharge/((2*pi*Coefficient of Permeability in Well Hydraulics*Total Drawdown in Well)/(log((Radius of Influence/Radius of well),e))). Discharge is the rate of flow of a liquid, Coefficient of Permeability in Well Hydraulics of soil in well hydraulics describes how easily a liquid will move through the soil, The Total Drawdown in Well is defined as the reduction in hydraulic head observed at a well in an aquifer, typically due to pumping a well as part of an aquifer test or well test, Radius of Influence measured from the center of the well to the point where drawdown curve meets the original water table & Radius of well is defined as the distance from center of well to its outer boundary.

How to calculate Aquifer Thickness given Confined Aquifer Discharge?

The Aquifer Thickness given Confined Aquifer Discharge is defined as the value of aquifer thickness when we have prior information of other parameters used is calculated using Aquifer Thickness = Discharge/((2*pi*Coefficient of Permeability in Well Hydraulics*Total Drawdown in Well)/(log((Radius of Influence/Radius of well),e))). To calculate Aquifer Thickness given Confined Aquifer Discharge, you need Discharge (Q), Coefficient of Permeability in Well Hydraulics (K_WH), Total Drawdown in Well (s_t), Radius of Influence (R_w) & Radius of well (r). With our tool, you need to enter the respective value for Discharge, Coefficient of Permeability in Well Hydraulics, Total Drawdown in Well, Radius of Influence & Radius of 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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