Radius of Well based on Discharge in Unconfined Aquifer 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 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 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 based on Discharge in Unconfined Aquifer [r_w]

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Radius of Well based on Discharge in Unconfined Aquifer Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Well given Discharge = Radius of Influence/exp((pi*Coefficient of Permeability of Soil Particle*(Initial Aquifer Thickness^2-Depth of Water^2))/Discharge)
r_w = R_w/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 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 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 Influence: 8.6 Meter --> 8.6 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_w/exp((pi*K_soil*(H_i^2-h_w^2))/Q) --> 8.6/exp((pi*1E-05*(2.48^2-2.44^2))/1.01)

Evaluating ... ...

r_w = 8.59994735577762

STEP 3: Convert Result to Output's Unit

8.59994735577762 Meter --> No Conversion Required

FINAL ANSWER

8.59994735577762 ≈ 8.599947 Meter <-- Radius of Well given Discharge

(Calculation completed in 00.021 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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< Radial Distance and Radius of well Calculators

Radial Distance of Well 2 based on Discharge of Two Wells under Consideration

LaTeX Go Radial Distance at Well 2 = Radial Distance at Observation Well 1*exp((pi*Coefficient of Permeability of Soil Particle*(Depth of Water 2^2-Depth of Water 1^2))/Discharge)

Radius of Well based on Discharge in Unconfined Aquifer

LaTeX Go Radius of Well given Discharge = Radius of Influence/exp((pi*Coefficient of Permeability of Soil Particle*(Initial Aquifer Thickness^2-Depth of Water^2))/Discharge)

Radial Distance of Well 1 based on Discharge of Two Wells under Consideration

LaTeX Go Radial Distance 1 = Radial Distance at Observation Well 2/exp((pi*Coefficient of Permeability of Soil Particle*(Depth of Water 2^2-Depth of Water 1^2))/Discharge)

Radius of Well based on Discharge in Unconfined Aquifer with Base 10

LaTeX Go Radius of Well given Discharge = Radius of Influence/10^((1.36*Coefficient of Permeability of Soil Particle*(Initial Aquifer Thickness^2-Depth of Water^2))/Discharge)

Radius of Well based on Discharge in Unconfined Aquifer Formula

LaTeX Go

What is Unconfined Aquifer?

Unconfined aquifers are those into which water seeps from the ground surface directly above the aquifer. Confined aquifers are those in which an impermeable dirt/rock layer exists that prevents water from seeping into the aquifer from the ground surface located directly above.

How to Calculate Radius of Well based on Discharge in Unconfined Aquifer?

Radius of Well based on Discharge in Unconfined Aquifer calculator uses Radius of Well given Discharge = Radius of Influence/exp((pi*Coefficient of Permeability of Soil Particle*(Initial Aquifer Thickness^2-Depth of Water^2))/Discharge) to calculate the Radius of Well given Discharge, The Radius of Well based on Discharge in Unconfined Aquifer formula is defined as the calculation of the value of radius of well when we have prior information of discharge in unconfined aquifer. Radius of Well given Discharge is denoted by r_w symbol.

How to calculate Radius of Well based on Discharge in Unconfined Aquifer using this online calculator? To use this online calculator for Radius of Well based on Discharge in Unconfined Aquifer, enter Radius of Influence (R_w), 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 Well based on Discharge in Unconfined Aquifer calculation can be explained with given input values -> 8.599947 = 8.6/exp((pi*1E-05*(2.48^2-2.44^2))/1.01).

FAQ

What is Radius of Well based on Discharge in Unconfined Aquifer?

The Radius of Well based on Discharge in Unconfined Aquifer formula is defined as the calculation of the value of radius of well when we have prior information of discharge in unconfined aquifer and is represented as r_w = R_w/exp((pi*K_soil*(H_i^2-h_w^2))/Q) or Radius of Well given Discharge = Radius of Influence/exp((pi*Coefficient of Permeability of Soil Particle*(Initial Aquifer Thickness^2-Depth of Water^2))/Discharge). Radius of Influence measured from the center of the well to the point where drawdown curve meets the original water table, 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 Well based on Discharge in Unconfined Aquifer?

The Radius of Well based on Discharge in Unconfined Aquifer formula is defined as the calculation of the value of radius of well when we have prior information of discharge in unconfined aquifer is calculated using Radius of Well given Discharge = Radius of Influence/exp((pi*Coefficient of Permeability of Soil Particle*(Initial Aquifer Thickness^2-Depth of Water^2))/Discharge). To calculate Radius of Well based on Discharge in Unconfined Aquifer, you need Radius of Influence (R_w), 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 Influence, 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 Well given Discharge?

In this formula, Radius of Well given Discharge uses Radius of Influence, 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 Well given Discharge = Radius of Influence/10^((1.36*Coefficient of Permeability of Soil Particle*(Initial Aquifer Thickness^2-Depth of Water^2))/Discharge)
Radius of Well given Discharge = Radius of Influence/(10^((2.72*Coefficient of Permeability of Soil Particle*Total Drawdown*(Length of Strainer+(Total Drawdown/2)))/Discharge))

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