Radius of Influence given Discharge in Unconfined Aquifer 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 Permeability of Soil Particle describes how easily a liquid will move through the soil.ⓘ Coefficient of Permeability of Soil Particle [K_soil]			+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 is the flow rate of water that is extracted from or injected into a well.ⓘ Discharge [Q]			+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 Discharge in Unconfined Aquifer [R_w]

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Radius of Influence given Discharge in Unconfined Aquifer Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Influence = Radius of Well*exp((pi*Coefficient of Permeability of Soil Particle*(Initial Aquifer Thickness^2-Depth of Water^2))/Discharge)
R_w = r*exp((pi*K_soil*(H_i^2-h_w^2))/Q)
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 Permeability of Soil Particle - (Measured in Meter per Second) - Coefficient of Permeability of Soil Particle describes how easily a liquid will move through the soil.
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 - (Measured in Cubic Meter per Second) - Discharge is the flow rate of water that is extracted from or injected into a well.

STEP 1: Convert Input(s) to Base Unit

Radius of Well: 7.5 Meter --> 7.5 Meter No Conversion Required
Coefficient of Permeability of Soil Particle: 0.001 Centimeter per Second --> 1E-05 Meter per Second (Check conversion here)
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: 1.01 Cubic Meter per Second --> 1.01 Cubic Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_w = r*exp((pi*K_soil*(H_i^2-h_w^2))/Q) --> 7.5*exp((pi*1E-05*(2.48^2-2.44^2))/1.01)

Evaluating ... ...

R_w = 7.50004591094009

STEP 3: Convert Result to Output's Unit

7.50004591094009 Meter --> No Conversion Required

FINAL ANSWER

7.50004591094009 ≈ 7.500046 Meter <-- Radius of Influence

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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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 Influence given Discharge in Unconfined Aquifer Formula

LaTeX Go

Radius of Influence = Radius of Well*exp((pi*Coefficient of Permeability of Soil Particle*(Initial Aquifer Thickness^2-Depth of Water^2))/Discharge)
R_w = r*exp((pi*K_soil*(H_i^2-h_w^2))/Q)

What is unconfined aquifer ?

Unconfined aquifers are those into which water seeps from the ground surface directly above the aquifer.

How to Calculate Radius of Influence given Discharge in Unconfined Aquifer?

Radius of Influence given Discharge in Unconfined Aquifer calculator uses Radius of Influence = Radius of Well*exp((pi*Coefficient of Permeability of Soil Particle*(Initial Aquifer Thickness^2-Depth of Water^2))/Discharge) to calculate the Radius of Influence, The Radius of Influence given Discharge in Unconfined Aquifer calculates 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 Discharge in Unconfined Aquifer using this online calculator? To use this online calculator for Radius of Influence given Discharge in Unconfined Aquifer, enter Radius of Well (r), Coefficient of Permeability of Soil Particle (K_soil), Initial Aquifer Thickness (H_i), Depth of Water (h_w) & Discharge (Q) and hit the calculate button. Here is how the Radius of Influence given Discharge in Unconfined Aquifer calculation can be explained with given input values -> 7.500116 = 7.5*exp((pi*1E-05*(2.48^2-2.44^2))/1.01).

FAQ

What is Radius of Influence given Discharge in Unconfined Aquifer?

The Radius of Influence given Discharge in Unconfined Aquifer calculates the value of radius of influence when we have prior information of other parameters used and is represented as R_w = r*exp((pi*K_soil*(H_i^2-h_w^2))/Q) or Radius of Influence = Radius of Well*exp((pi*Coefficient of Permeability of Soil Particle*(Initial Aquifer Thickness^2-Depth of Water^2))/Discharge). Radius of Well is defined as the distance from center of well to its outer boundary, Coefficient of Permeability of Soil Particle describes how easily a liquid will move through the soil, 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 is the flow rate of water that is extracted from or injected into a well.

How to calculate Radius of Influence given Discharge in Unconfined Aquifer?

The Radius of Influence given Discharge in Unconfined Aquifer calculates 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((pi*Coefficient of Permeability of Soil Particle*(Initial Aquifer Thickness^2-Depth of Water^2))/Discharge). To calculate Radius of Influence given Discharge in Unconfined Aquifer, you need Radius of Well (r), Coefficient of Permeability of Soil Particle (K_soil), Initial Aquifer Thickness (H_i), Depth of Water (h_w) & Discharge (Q). With our tool, you need to enter the respective value for Radius of Well, Coefficient of Permeability of Soil Particle, Initial Aquifer Thickness, Depth of Water & Discharge 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 Permeability of Soil Particle, Initial Aquifer Thickness, Depth of Water & Discharge. We can use 2 other way(s) to calculate the same, which is/are as follows -

Radius of Influence = Radius of Well*10^((1.36*Coefficient of Permeability of Soil Particle*(Initial Aquifer Thickness^2-Depth of Water^2))/Discharge)
Radius of Influence = Radius of Well*10^((2.72*Coefficient of Permeability in Well Hydraulics*Total Drawdown*(Length of Strainer+(Total Drawdown/2)))/Discharge)

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