Depth of Water in Well given Discharge in Confined Aquifer Calculator

✖Aquifer Thickness (at Midpoint between Equipotential lines) or otherwise is the thickness of aquifer in which the pore spaces of rock forming the aquifer may or may not be with water.ⓘ Aquifer Thickness [b_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 [R_w]			+10% -10%
✖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 in Well Hydraulics of soil in well hydraulics describes how easily a liquid will move through the soil.ⓘ Coefficient of Permeability in Well Hydraulics [K_WH]			+10% -10%
✖Aquifer Thickness During Pumping is the thickness of aquifer during pumping stage.ⓘ Aquifer Thickness During Pumping [b_p]			+10% -10%

✖Depth of Water in Well is measured above the impermeable layer.ⓘ Depth of Water in Well given Discharge in Confined Aquifer [h_well]

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Depth of Water in Well given Discharge in Confined Aquifer Solution

STEP 0: Pre-Calculation Summary

Formula Used

Depth of Water in Well = Aquifer Thickness-((Discharge*log((Radius of Influence/Radius of Well),e))/(2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping))
h_well = b_w-((Q*log((R_w/r),e))/(2*pi*K_WH*b_p))
This formula uses 2 Constants, 1 Functions, 7 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
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

Depth of Water in Well - (Measured in Meter) - Depth of Water in Well is measured above the impermeable layer.
Aquifer Thickness - (Measured in Meter) - Aquifer Thickness (at Midpoint between Equipotential lines) or otherwise is the thickness of aquifer in which the pore spaces of rock forming the aquifer may or may not be with water.
Discharge - (Measured in Cubic Meter per Second) - Discharge is the flow rate of water that is extracted from or injected into a well.
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 in Well Hydraulics - (Measured in Meter per Second) - Coefficient of Permeability in Well Hydraulics of soil in well hydraulics describes how easily a liquid will move through the soil.
Aquifer Thickness During Pumping - (Measured in Meter) - Aquifer Thickness During Pumping is the thickness of aquifer during pumping stage.

STEP 1: Convert Input(s) to Base Unit

Aquifer Thickness: 14.15 Meter --> 14.15 Meter No Conversion Required
Discharge: 1.01 Cubic Meter per Second --> 1.01 Cubic Meter per Second No Conversion Required
Radius of Influence: 8.6 Meter --> 8.6 Meter No Conversion Required
Radius of Well: 7.5 Meter --> 7.5 Meter No Conversion Required
Coefficient of Permeability in Well Hydraulics: 10 Centimeter per Second --> 0.1 Meter per Second (Check conversion here)
Aquifer Thickness During Pumping: 2.36 Meter --> 2.36 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_well = b_w-((Q*log((R_w/r),e))/(2*pi*K_WH*b_p)) --> 14.15-((1.01*log((8.6/7.5),e))/(2*pi*0.1*2.36))

Evaluating ... ...

h_well = 9.17313843994951

STEP 3: Convert Result to Output's Unit

9.17313843994951 Meter --> No Conversion Required

FINAL ANSWER

9.17313843994951 ≈ 9.173138 Meter <-- Depth of Water in Well

(Calculation completed in 00.020 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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< Depth of Water in Well Calculators

Depth of Water in Well given Discharge in Confined Aquifer

LaTeX Go Depth of Water in Well = Aquifer Thickness-((Discharge*log((Radius of Influence/Radius of Well),e))/(2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping))

Depth of Water in Well given Coefficient of Transmissibility

LaTeX Go Depth of Water = Initial Aquifer Thickness-((Discharge*log((Radius of Influence/Radius of Well),e))/(2*pi*Coefficient of Transmissibility))

Depth of Water in Well given Discharge in Confined Aquifer with Base 10

LaTeX Go Depth of Water in Well = Aquifer Thickness-((Discharge*log((Radius of Influence/Radius of Well),10))/(2.72*Coefficient of Permeability*Aquifer Thickness During Pumping))

Depth of Water in Well given Coefficient of Transmissibility with Base 10

LaTeX Go Depth of Water in Well = Aquifer Thickness-((Discharge*log((Radius of Influence/Radius of Well),10))/(2.72*Coefficient of Transmissibility))

Depth of Water in Well given Discharge in Confined Aquifer Formula

LaTeX Go

What is Aquifer?

An aquifer is an underground layer of water-bearing permeable rock, rock fractures or unconsolidated materials (gravel, sand, or silt). Groundwater can be extracted using a water well.

How to Calculate Depth of Water in Well given Discharge in Confined Aquifer?

Depth of Water in Well given Discharge in Confined Aquifer calculator uses Depth of Water in Well = Aquifer Thickness-((Discharge*log((Radius of Influence/Radius of Well),e))/(2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping)) to calculate the Depth of Water in Well, The Depth of Water in Well given Discharge in Confined Aquifer formula is defined as the value of depth of water in well when we have prior information of discharge in confined aquifer. Depth of Water in Well is denoted by h_well symbol.

How to calculate Depth of Water in Well given Discharge in Confined Aquifer using this online calculator? To use this online calculator for Depth of Water in Well given Discharge in Confined Aquifer, enter Aquifer Thickness (b_w), Discharge (Q), Radius of Influence (R_w), Radius of Well (r), Coefficient of Permeability in Well Hydraulics (K_WH) & Aquifer Thickness During Pumping (b_p) and hit the calculate button. Here is how the Depth of Water in Well given Discharge in Confined Aquifer calculation can be explained with given input values -> 10.02314 = 14.15-((1.01*log((8.6/7.5),e))/(2*pi*0.1*2.36)).

FAQ

What is Depth of Water in Well given Discharge in Confined Aquifer?

The Depth of Water in Well given Discharge in Confined Aquifer formula is defined as the value of depth of water in well when we have prior information of discharge in confined aquifer and is represented as h_well = b_w-((Q*log((R_w/r),e))/(2*pi*K_WH*b_p)) or Depth of Water in Well = Aquifer Thickness-((Discharge*log((Radius of Influence/Radius of Well),e))/(2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping)). Aquifer Thickness (at Midpoint between Equipotential lines) or otherwise is the thickness of aquifer in which the pore spaces of rock forming the aquifer may or may not be with water, Discharge is the flow rate of water that is extracted from or injected into a well, Radius of Influence measured from the center of the well to the point where drawdown curve meets the original water table, Radius of Well is defined as the distance from center of well to its outer boundary, Coefficient of Permeability in Well Hydraulics of soil in well hydraulics describes how easily a liquid will move through the soil & Aquifer Thickness During Pumping is the thickness of aquifer during pumping stage.

How to calculate Depth of Water in Well given Discharge in Confined Aquifer?

The Depth of Water in Well given Discharge in Confined Aquifer formula is defined as the value of depth of water in well when we have prior information of discharge in confined aquifer is calculated using Depth of Water in Well = Aquifer Thickness-((Discharge*log((Radius of Influence/Radius of Well),e))/(2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping)). To calculate Depth of Water in Well given Discharge in Confined Aquifer, you need Aquifer Thickness (b_w), Discharge (Q), Radius of Influence (R_w), Radius of Well (r), Coefficient of Permeability in Well Hydraulics (K_WH) & Aquifer Thickness During Pumping (b_p). With our tool, you need to enter the respective value for Aquifer Thickness, Discharge, Radius of Influence, Radius of Well, Coefficient of Permeability in Well Hydraulics & Aquifer Thickness During Pumping 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 Depth of Water in Well?

In this formula, Depth of Water in Well uses Aquifer Thickness, Discharge, Radius of Influence, Radius of Well, Coefficient of Permeability in Well Hydraulics & Aquifer Thickness During Pumping. We can use 2 other way(s) to calculate the same, which is/are as follows -

Depth of Water in Well = Aquifer Thickness-((Discharge*log((Radius of Influence/Radius of Well),10))/(2.72*Coefficient of Permeability*Aquifer Thickness During Pumping))
Depth of Water in Well = Aquifer Thickness-((Discharge*log((Radius of Influence/Radius of Well),10))/(2.72*Coefficient of Transmissibility))

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