Radius of Well given Coefficient of Transmissibility Calculator

✖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%
✖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 is the depth 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 Well given Discharge is the radial distance from the center of the well to the outer boundary of the aquifer, where the effects of pumping or water withdrawal are observed.ⓘ Radius of Well given Coefficient of Transmissibility [r_w]

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Radius of Well given Coefficient of Transmissibility Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Well given Discharge = Radius of Influence/exp((2*pi*Coefficient of Transmissibility*(Initial Aquifer Thickness-Depth of Water))/Discharge at Time t=0)
r_w = R_w/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 Well given Discharge - (Measured in Meter) - Radius of Well given Discharge is the radial distance from the center of the well to the outer boundary of the aquifer, where the effects of pumping or water withdrawal are observed.
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.
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 is the depth 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 Influence: 8.6 Meter --> 8.6 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: 2.48 Meter --> 2.48 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_w/exp((2*pi*T_envi*(H_i-h_w))/Q₀) --> 8.6/exp((2*pi*1.5*(2.48-2.44))/50)

Evaluating ... ...

r_w = 8.53540136477726

STEP 3: Convert Result to Output's Unit

8.53540136477726 Meter --> No Conversion Required

FINAL ANSWER

8.53540136477726 ≈ 8.535401 Meter <-- Radius of Well given Discharge

(Calculation completed in 00.004 seconds)

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< Radial Distance and Radius of well Calculators

Radius of Well given Discharge in Confined Aquifer

LaTeX Go Radius of Well given Discharge = Radius of Influence/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 Well given Coefficient of Transmissibility

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

Radius of Well for Discharge in Confined Aquifer with Base 10

LaTeX Go Radius of Well given Discharge = Radius of Influence/(10^(2.72*Standard Coefficient of Permeability*Thickness of Aquifer*(Initial Aquifer Thickness-Depth of Water))/Discharge)

Radius of Well given Coefficient of Transmissibility with Base 10

LaTeX Go Radius of Well given Discharge = Radius of Influence/10^((2.72*Coefficient of Transmissibility*(Initial Aquifer Thickness-Depth of Water))/Discharge at Time t=0)

Radius of Well given Coefficient of Transmissibility Formula

LaTeX Go

What is Coefficient of Transmissibility?

The coefficient of transmissibility. is defined as the rate of flow of water. in gallons per day through a vertical. strip of the aquifer 1 ft wide and ex- tending the full saturated thickness.

How to Calculate Radius of Well given Coefficient of Transmissibility?

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

How to calculate Radius of Well given Coefficient of Transmissibility using this online calculator? To use this online calculator for Radius of Well given Coefficient of Transmissibility, enter Radius of Influence (R_w), 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 Well given Coefficient of Transmissibility calculation can be explained with given input values -> 8.535401 = 8.6/exp((2*pi*1.5*(2.48-2.44))/50).

FAQ

What is Radius of Well given Coefficient of Transmissibility?

The Radius of Well given Coefficient of Transmissibility formula is defined as the value of radius of well when we have prior information of coefficient of permeability and is represented as r_w = R_w/exp((2*pi*T_envi*(H_i-h_w))/Q₀) or Radius of Well given Discharge = Radius of Influence/exp((2*pi*Coefficient of Transmissibility*(Initial Aquifer Thickness-Depth of Water))/Discharge at Time t=0). Radius of Influence measured from the center of the well to the point where drawdown curve meets the original water table, 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 is the depth 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 Well given Coefficient of Transmissibility?

The Radius of Well given Coefficient of Transmissibility formula is defined as the value of radius of well when we have prior information of coefficient of permeability is calculated using Radius of Well given Discharge = Radius of Influence/exp((2*pi*Coefficient of Transmissibility*(Initial Aquifer Thickness-Depth of Water))/Discharge at Time t=0). To calculate Radius of Well given Coefficient of Transmissibility, you need Radius of Influence (R_w), 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 Influence, 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 Well given Discharge?

In this formula, Radius of Well given Discharge uses Radius of Influence, Coefficient of Transmissibility, Initial Aquifer Thickness, Depth of Water & Discharge at Time t=0. We can use 3 other way(s) to calculate the same, which is/are as follows -

Radius of Well given Discharge = Radius of Influence/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 Well given Discharge = Radius of Influence/(10^(2.72*Standard Coefficient of Permeability*Thickness of Aquifer*(Initial Aquifer Thickness-Depth of Water))/Discharge)
Radius of Well given Discharge = Radius of Influence/10^((2.72*Coefficient of Transmissibility*(Initial Aquifer Thickness-Depth of Water))/Discharge at Time t=0)

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