Radius of Influence given Coefficient of Transmissibility Calculator

✖Radius of well is defined as the distance from center of well to its outer boundary.ⓘ Radius of well [r]			+10% -10%
✖Coefficient of transmissibility is defined as the rate of flow of water in gallons per day through a vertical strip of the aquifer.ⓘ Coefficient of Transmissibility [T_envi]			+10% -10%
✖Initial Aquifer Thickness is the aquifer thickness at initial stage before pumping.ⓘ Initial Aquifer Thickness [H_i]			+10% -10%
✖Depth of Water in the well measured above the impermeable layer.ⓘ Depth of Water [h_w]			+10% -10%
✖Discharge at Time t=0 is the rate of flow of a liquid that moves over a designated point over a fixed period.ⓘ Discharge at Time t=0 [Q₀]			+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 given Coefficient of Transmissibility [R_w]

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Radius of Influence given Coefficient of Transmissibility

Formula

`"R"_{"w"} = "r"*exp((2*pi*"T"_{"envi"}*("H"_{"i"}-"h"_{"w"}))/"Q"_{"0"})`

Example

`"7.642712m"="7.5m"*exp((2*pi*"1.5m²/s"*("2.54m"-"2.44m"))/"50m³/s")`

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Radius of Influence given Coefficient of Transmissibility Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Influence = Radius of well*exp((2*pi*Coefficient of Transmissibility*(Initial Aquifer Thickness-Depth of Water))/Discharge at Time t=0)
R_w = r*exp((2*pi*T_envi*(H_i-h_w))/Q₀)
This formula uses 1 Constants, 1 Functions, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)

Variables Used

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.
Coefficient of Transmissibility - (Measured in Square Meter per Second) - Coefficient of transmissibility is defined as the rate of flow of water in gallons per day through a vertical strip of the aquifer.
Initial Aquifer Thickness - (Measured in Meter) - Initial Aquifer Thickness is the aquifer thickness at initial stage before pumping.
Depth of Water - (Measured in Meter) - Depth of Water in the well measured above the impermeable layer.
Discharge at Time t=0 - (Measured in Cubic Meter per Second) - Discharge at Time t=0 is the rate of flow of a liquid that moves over a designated point over a fixed period.

STEP 1: Convert Input(s) to Base Unit

Radius of well: 7.5 Meter --> 7.5 Meter No Conversion Required
Coefficient of Transmissibility: 1.5 Square Meter per Second --> 1.5 Square Meter per Second No Conversion Required
Initial Aquifer Thickness: 2.54 Meter --> 2.54 Meter No Conversion Required
Depth of Water: 2.44 Meter --> 2.44 Meter No Conversion Required
Discharge at Time t=0: 50 Cubic Meter per Second --> 50 Cubic Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_w = r*exp((2*pi*T_envi*(H_i-h_w))/Q₀) --> 7.5*exp((2*pi*1.5*(2.54-2.44))/50)

Evaluating ... ...

R_w = 7.64271247730027

STEP 3: Convert Result to Output's Unit

7.64271247730027 Meter --> No Conversion Required

FINAL ANSWER

7.64271247730027 ≈ 7.642712 Meter <-- Radius of Influence

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Environmental Engineering » Water Resources : Ground Water » Well Hydraulics » Confined Aquifer » Radius of Influence » Radius of Influence given Coefficient of Transmissibility

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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< 8 Radius of Influence Calculators

Radius of Influence given Discharge in Confined Aquifer

Go Radius of Influence = Radius of well*exp((2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping*(Initial Aquifer Thickness-Depth of Water))/Discharge at Time t=0)

Radius of Influence given Confined Aquifer Discharge

Go Radius of Influence = Radius of well*exp((2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping*Total Drawdown in Well)/Discharge of Liquid)

Radius of Influence given Discharge in Confined Aquifer with Base 10

Go Radius of Influence = Radius of well*10^((2.72*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping*(Initial Aquifer Thickness-Depth of Water))/Discharge at Time t=0)

Radius of Influence given Coefficient of Transmissibility

Go Radius of Influence = Radius of well*exp((2*pi*Coefficient of Transmissibility*(Initial Aquifer Thickness-Depth of Water))/Discharge at Time t=0)

Radius of Influence given Confined Aquifer Discharge with Base 10

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

Radius of Influence given Drawdown at Well

Go Radius of Influence = Radius of well*exp((2*pi*Coefficient of Transmissibility*Total Drawdown in Well)/Discharge of Liquid)

Radius of Influence given Coefficient of Transmissibility with Base 10

Go Radius of Influence = Radius of well*10^((2.72*Coefficient of Transmissibility*(Initial Aquifer Thickness-Depth of Water))/Discharge of Liquid)

Radius of Influence given Drawdown at Well with Base 10

Go Radius of Influence = Radius of well*10^((2.72*Coefficient of Transmissibility*Total Drawdown in Well)/Discharge of Liquid)

Radius of Influence given Coefficient of Transmissibility Formula

Radius of Influence = Radius of well*exp((2*pi*Coefficient of Transmissibility*(Initial Aquifer Thickness-Depth of Water))/Discharge at Time t=0)
R_w = r*exp((2*pi*T_envi*(H_i-h_w))/Q₀)

What is Confined Aquifer?

A confined aquifer is an aquifer below the land surface that is saturated with water. Layers of impermeable material are both above and below the aquifer, causing it to be under pressure so that when the aquifer is penetrated by a well, the water will rise above the top of the aquifer.

How to Calculate Radius of Influence given Coefficient of Transmissibility?

Radius of Influence given Coefficient of Transmissibility calculator uses Radius of Influence = Radius of well*exp((2*pi*Coefficient of Transmissibility*(Initial Aquifer Thickness-Depth of Water))/Discharge at Time t=0) to calculate the Radius of Influence, The Radius of Influence given Coefficient of Transmissibility is defined as the value of radius of influence when we have prior information of other parameters used. Radius of Influence is denoted by R_w symbol.

How to calculate Radius of Influence given Coefficient of Transmissibility using this online calculator? To use this online calculator for Radius of Influence given Coefficient of Transmissibility, enter Radius of well (r), Coefficient of Transmissibility (T_envi), Initial Aquifer Thickness (H_i), Depth of Water (h_w) & Discharge at Time t=0 (Q₀) and hit the calculate button. Here is how the Radius of Influence given Coefficient of Transmissibility calculation can be explained with given input values -> 7.642712 = 7.5*exp((2*pi*1.5*(2.54-2.44))/50).

FAQ

What is Radius of Influence given Coefficient of Transmissibility?

The Radius of Influence given Coefficient of Transmissibility is defined as the value of radius of influence when we have prior information of other parameters used and is represented as R_w = r*exp((2*pi*T_envi*(H_i-h_w))/Q₀) or Radius of Influence = Radius of well*exp((2*pi*Coefficient of Transmissibility*(Initial Aquifer Thickness-Depth of Water))/Discharge at Time t=0). Radius of well is defined as the distance from center of well to its outer boundary, Coefficient of transmissibility is defined as the rate of flow of water in gallons per day through a vertical strip of the aquifer, Initial Aquifer Thickness is the aquifer thickness at initial stage before pumping, Depth of Water in the well measured above the impermeable layer & Discharge at Time t=0 is the rate of flow of a liquid that moves over a designated point over a fixed period.

How to calculate Radius of Influence given Coefficient of Transmissibility?

The Radius of Influence given Coefficient of Transmissibility is defined as the value of radius of influence when we have prior information of other parameters used is calculated using Radius of Influence = Radius of well*exp((2*pi*Coefficient of Transmissibility*(Initial Aquifer Thickness-Depth of Water))/Discharge at Time t=0). To calculate Radius of Influence given Coefficient of Transmissibility, you need Radius of well (r), Coefficient of Transmissibility (T_envi), Initial Aquifer Thickness (H_i), Depth of Water (h_w) & Discharge at Time t=0 (Q₀). With our tool, you need to enter the respective value for Radius of well, Coefficient of Transmissibility, Initial Aquifer Thickness, Depth of Water & Discharge at Time t=0 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 Radius of Influence?

In this formula, Radius of Influence uses Radius of well, Coefficient of Transmissibility, Initial Aquifer Thickness, Depth of Water & Discharge at Time t=0. We can use 7 other way(s) to calculate the same, which is/are as follows -

Radius of Influence = Radius of well*exp((2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping*(Initial Aquifer Thickness-Depth of Water))/Discharge at Time t=0)
Radius of Influence = Radius of well*10^((2.72*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping*(Initial Aquifer Thickness-Depth of Water))/Discharge at Time t=0)
Radius of Influence = Radius of well*10^((2.72*Coefficient of Transmissibility*(Initial Aquifer Thickness-Depth of Water))/Discharge of Liquid)
Radius of Influence = Radius of well*exp((2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping*Total Drawdown in Well)/Discharge of Liquid)
Radius of Influence = Radius of well*10^((2.72*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping*Total Drawdown in Well)/Discharge of Liquid)
Radius of Influence = Radius of well*exp((2*pi*Coefficient of Transmissibility*Total Drawdown in Well)/Discharge of Liquid)
Radius of Influence = Radius of well*10^((2.72*Coefficient of Transmissibility*Total Drawdown in Well)/Discharge of Liquid)

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