Aquifer Thickness given Ratio of Discharge Calculator

✖Radius of Well in Eviron. Engin. is defined as the distance from center of well to its outer boundary.ⓘ Radius of Well in Eviron. Engin. [r^']			+10% -10%
✖Ratio of discharge is the ratio of discharge due to spherical flow to discharge due to radial flow.ⓘ Ratio of discharge [QsQ_ratio]			+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]			+10% -10%

✖Aquifer Thickness During Pumping is the thickness of aquifer during pumping stage.ⓘ Aquifer Thickness given Ratio of Discharge [b_p]

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Formula

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Aquifer Thickness given Ratio of Discharge

Formula

`"b"_{"p"} = ("r"^{"'"}/"QsQ"_{"ratio"})*log(("R"/"r"^{"'"}),e)`

Example

`"2.381789m"=("2.94m"/"0.35")*log(("100m"/"2.94m"),e)`

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Aquifer Thickness given Ratio of Discharge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Aquifer Thickness During Pumping = (Radius of Well in Eviron. Engin./Ratio of discharge)*log((Radius of Influence/Radius of Well in Eviron. Engin.),e)
b_p = (r^'/QsQ_ratio)*log((R/r^'),e)
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

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 During Pumping - (Measured in Meter) - Aquifer Thickness During Pumping is the thickness of aquifer during pumping stage.
Radius of Well in Eviron. Engin. - (Measured in Meter) - Radius of Well in Eviron. Engin. is defined as the distance from center of well to its outer boundary.
Ratio of discharge - Ratio of discharge is the ratio of discharge due to spherical flow to discharge due to radial flow.
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.

STEP 1: Convert Input(s) to Base Unit

Radius of Well in Eviron. Engin.: 2.94 Meter --> 2.94 Meter No Conversion Required
Ratio of discharge: 0.35 --> No Conversion Required
Radius of Influence: 100 Meter --> 100 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b_p = (r^'/QsQ_ratio)*log((R/r^'),e) --> (2.94/0.35)*log((100/2.94),e)

Evaluating ... ...

b_p = 2.38178910951723

STEP 3: Convert Result to Output's Unit

2.38178910951723 Meter --> No Conversion Required

FINAL ANSWER

2.38178910951723 ≈ 2.381789 Meter <-- Aquifer Thickness During Pumping

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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< 19 Spherical Flow in a Well Calculators

Discharge by Radial Flow given Discharge by Spherical Flow

Go Discharge = Discharge by Spherical Flow/((Radius of Well in Eviron. Engin./Aquifer Thickness During Pumping)*log((Radius of Influence/Radius of Well in Eviron. Engin.),e))

Aquifer Thickness given Discharge by Spherical Flow

Go Aquifer Thickness During Pumping = (Radius of Well in Eviron. Engin./(Discharge by Spherical Flow/Discharge))*log((Radius of Influence/Radius of Well in Eviron. Engin.),e)

Discharge by Spherical Flow

Go Discharge by Spherical Flow = Discharge*(Radius of Well in Eviron. Engin./Aquifer Thickness During Pumping)*log((Radius of Influence/Radius of Well in Eviron. Engin.),e)

Radius of Influence given Discharge by Spherical Flow

Go Radius of Influence in Eviron. Engin. = Radius of Well in Eviron. Engin.*exp(((Discharge by Spherical Flow/Discharge at Time t=0)*Aquifer Thickness During Pumping)/Radius of Well in Eviron. Engin.)

Discharge by Spherical Flow with Base 10

Go Discharge by Spherical Flow = 2.3*Discharge*(Radius of Well in Eviron. Engin./Aquifer Thickness During Pumping)*log((Radius of Influence/Radius of Well in Eviron. Engin.),10)

Discharge by Radial Flow given Discharge by Spherical Flow with Base 10

Go Discharge = Discharge by Spherical Flow/(2.3*(Radius of Well in Eviron. Engin./Aquifer Thickness)*log((Radius of Influence/Radius of Well in Eviron. Engin.),10))

Aquifer Thickness given Discharge by Spherical Flow with Base 10

Go Aquifer Thickness = 2.3*(Radius of Well in Eviron. Engin./(Discharge by Spherical Flow/Discharge))*log((Radius of Influence/Radius of Well in Eviron. Engin.),10)

Radius of Influence given Discharge by Spherical Flow with Base 10

Go Radius of Influence in Eviron. Engin. = Radius of Well in Eviron. Engin.*10^(((Discharge by Spherical Flow/Discharge at Time t=0) *Aquifer Thickness)/(2.3*Radius of Well in Eviron. Engin.))

Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow

Go Ratio of discharge = (Radius of Well in Eviron. Engin./Aquifer Thickness During Pumping)*log((Radius of Influence/Radius of Well in Eviron. Engin.),e)

Aquifer Thickness given Ratio of Discharge

Go Aquifer Thickness During Pumping = (Radius of Well in Eviron. Engin./Ratio of discharge)*log((Radius of Influence/Radius of Well in Eviron. Engin.),e)

Radius of Influence given Ratio of Discharge

Go Radius of Influence in Eviron. Engin. = Radius of Well in Eviron. Engin.*exp((Ratio of discharge*Aquifer Thickness During Pumping)/Radius of Well in Eviron. Engin.)

Depth of Water in Well given Discharge due to Spherical Flow in Well

Go Depth of Water = Thickness of Aquifer-(Discharge by Spherical Flow/(2*pi*Coefficient of Permeability in Environ. Engin.*Radius of Well in Eviron. Engin.))

Thickness of Aquifer given Discharge due to Spherical Flow in Well

Go Thickness of Aquifer = Depth of Water+(Discharge by Spherical Flow/(2*pi*Coefficient of Permeability in Environ. Engin.*Radius of Well in Eviron. Engin.))

Radius of Well given Discharge due to Spherical Flow in Well

Go Radius of Well in Eviron. Engin. = Discharge by Spherical Flow/(2*pi*Coefficient of Permeability in Environ. Engin.*(Thickness of Aquifer-Depth of Water))

Discharge due to Spherical Flow in Well

Go Discharge by Spherical Flow = 2*pi*Coefficient of Permeability in Environ. Engin.*Radius of Well in Eviron. Engin.*(Thickness of Aquifer-Depth of Water)

Ratio of Discharge due to Spherical Flow to Discharge due to Radial Flow with Base 10

Go Ratio of discharge = 2.3*(Radius of Well in Eviron. Engin./Aquifer Thickness)*log((Radius of Influence/Radius of Well in Eviron. Engin.),10)

Radius of Influence given Ratio of Discharge with Base 10

Go Radius of Influence in Eviron. Engin. = Radius of Well in Eviron. Engin.*10^((Ratio of discharge*Aquifer Thickness During Pumping)/(2.3*Radius of Well in Eviron. Engin.))

Aquifer Thickness given Ratio of Discharge with Base 10

Go Aquifer Thickness = 2.3*(Radius of Well in Eviron. Engin./Ratio of discharge)*log((Radius of Influence/Radius of Well in Eviron. Engin.),10)

Coefficient of Permeability given Discharge due to Spherical Flow in Well

Go Coefficient of Permeability = Discharge by Spherical Flow/(2*pi*Radius of Well in Eviron. Engin.*(Thickness of Aquifer-Depth of Water))

Aquifer Thickness given Ratio of Discharge Formula

Aquifer Thickness During Pumping = (Radius of Well in Eviron. Engin./Ratio of discharge)*log((Radius of Influence/Radius of Well in Eviron. Engin.),e)
b_p = (r^'/QsQ_ratio)*log((R/r^'),e)

What is Aquifer?

An aquifer is a body of rock and/or sediment that holds groundwater. Groundwater is the word used to describe precipitation that has infiltrated the soil beyond the surface and collected in empty spaces underground.

How to Calculate Aquifer Thickness given Ratio of Discharge?

Aquifer Thickness given Ratio of Discharge calculator uses Aquifer Thickness During Pumping = (Radius of Well in Eviron. Engin./Ratio of discharge)*log((Radius of Influence/Radius of Well in Eviron. Engin.),e) to calculate the Aquifer Thickness During Pumping, The Aquifer Thickness given Ratio of Discharge is defined as the value of aquifer thickness when we have prior information of other parameters used. Aquifer Thickness During Pumping is denoted by b_p symbol.

How to calculate Aquifer Thickness given Ratio of Discharge using this online calculator? To use this online calculator for Aquifer Thickness given Ratio of Discharge, enter Radius of Well in Eviron. Engin. (r^'), Ratio of discharge (QsQ_ratio) & Radius of Influence (R) and hit the calculate button. Here is how the Aquifer Thickness given Ratio of Discharge calculation can be explained with given input values -> 2.381789 = (2.94/0.35)*log((100/2.94),e).

FAQ

What is Aquifer Thickness given Ratio of Discharge?

The Aquifer Thickness given Ratio of Discharge is defined as the value of aquifer thickness when we have prior information of other parameters used and is represented as b_p = (r^'/QsQ_ratio)*log((R/r^'),e) or Aquifer Thickness During Pumping = (Radius of Well in Eviron. Engin./Ratio of discharge)*log((Radius of Influence/Radius of Well in Eviron. Engin.),e). Radius of Well in Eviron. Engin. is defined as the distance from center of well to its outer boundary, Ratio of discharge is the ratio of discharge due to spherical flow to discharge due to radial flow & Radius of Influence measured from the center of the well to the point where drawdown curve meets the original water table.

How to calculate Aquifer Thickness given Ratio of Discharge?

The Aquifer Thickness given Ratio of Discharge is defined as the value of aquifer thickness when we have prior information of other parameters used is calculated using Aquifer Thickness During Pumping = (Radius of Well in Eviron. Engin./Ratio of discharge)*log((Radius of Influence/Radius of Well in Eviron. Engin.),e). To calculate Aquifer Thickness given Ratio of Discharge, you need Radius of Well in Eviron. Engin. (r^'), Ratio of discharge (QsQ_ratio) & Radius of Influence (R). With our tool, you need to enter the respective value for Radius of Well in Eviron. Engin, Ratio of discharge & Radius of Influence 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 Aquifer Thickness During Pumping?

In this formula, Aquifer Thickness During Pumping uses Radius of Well in Eviron. Engin, Ratio of discharge & Radius of Influence. We can use 1 other way(s) to calculate the same, which is/are as follows -

Aquifer Thickness During Pumping = (Radius of Well in Eviron. Engin./(Discharge by Spherical Flow/Discharge))*log((Radius of Influence/Radius of Well in Eviron. Engin.),e)

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