Aquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer Calculator

✖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 [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 is the velocity in meters or centimeters per second of water through soils.ⓘ Coefficient of Permeability [K_w]			+10% -10%
✖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%

✖Initial Aquifer Thickness is the aquifer thickness at initial stage before pumping.ⓘ Aquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer [H_i]

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Aquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer Solution

STEP 0: Pre-Calculation Summary

Formula Used

Initial Aquifer Thickness = Depth of Water+((Discharge*log((Radius of Influence/Radius of Well),e))/(2*pi*Coefficient of Permeability*Aquifer Thickness))
H_i = h_w+((Q*log((R_w/r),e))/(2*pi*K_w*b_w))
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

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.
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 - (Measured in Meter per Second) - Coefficient of Permeability is the velocity in meters or centimeters per second of water through soils.
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.

STEP 1: Convert Input(s) to Base Unit

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
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: 1125 Centimeter per Second --> 11.25 Meter per Second (Check conversion here)
Aquifer Thickness: 14.15 Meter --> 14.15 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_i = h_w+((Q*log((R_w/r),e))/(2*pi*K_w*b_w)) --> 2.44+((1.01*log((8.6/7.5),e))/(2*pi*11.25*14.15))

Evaluating ... ...

H_i = 2.44737833892845

STEP 3: Convert Result to Output's Unit

2.44737833892845 Meter --> No Conversion Required

FINAL ANSWER

2.44737833892845 ≈ 2.447378 Meter <-- Initial Aquifer Thickness

(Calculation completed in 00.004 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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< Aquifer Thickness Calculators

Thickness of Confined Aquifer given Discharge in Confined Aquifer

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

Thickness of Confined Aquifer given Discharge in Confined Aquifer with Base 10

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

Aquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer

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

Aquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer with Base 10

LaTeX Go Initial Aquifer Thickness = Depth of Water+((Discharge*log((Radius of Influence/Radius of Well),10))/(2.72*Coefficient of Permeability*Aquifer Thickness))

Aquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer Formula

LaTeX Go

Initial Aquifer Thickness = Depth of Water+((Discharge*log((Radius of Influence/Radius of Well),e))/(2*pi*Coefficient of Permeability*Aquifer Thickness))
H_i = h_w+((Q*log((R_w/r),e))/(2*pi*K_w*b_w))

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 Aquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer?

Aquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer calculator uses Initial Aquifer Thickness = Depth of Water+((Discharge*log((Radius of Influence/Radius of Well),e))/(2*pi*Coefficient of Permeability*Aquifer Thickness)) to calculate the Initial Aquifer Thickness, The Aquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer formula is defined as the value of thickness of an aquifer, which is the water-bearing layer of permeable rock, sand, or gravel, measured from the base of an impermeable layer above or below the aquifer, when we have prior information of discharge. Initial Aquifer Thickness is denoted by H_i symbol.

How to calculate Aquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer using this online calculator? To use this online calculator for Aquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer, enter Depth of Water (h_w), Discharge (Q), Radius of Influence (R_w), Radius of Well (r), Coefficient of Permeability (K_w) & Aquifer Thickness (b_w) and hit the calculate button. Here is how the Aquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer calculation can be explained with given input values -> 2.448301 = 2.44+((1.01*log((8.6/7.5),e))/(2*pi*11.25*14.15)).

FAQ

What is Aquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer?

The Aquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer formula is defined as the value of thickness of an aquifer, which is the water-bearing layer of permeable rock, sand, or gravel, measured from the base of an impermeable layer above or below the aquifer, when we have prior information of discharge and is represented as H_i = h_w+((Q*log((R_w/r),e))/(2*pi*K_w*b_w)) or Initial Aquifer Thickness = Depth of Water+((Discharge*log((Radius of Influence/Radius of Well),e))/(2*pi*Coefficient of Permeability*Aquifer Thickness)). 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, 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 is the velocity in meters or centimeters per second of water through soils & 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.

How to calculate Aquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer?

The Aquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer formula is defined as the value of thickness of an aquifer, which is the water-bearing layer of permeable rock, sand, or gravel, measured from the base of an impermeable layer above or below the aquifer, when we have prior information of discharge is calculated using Initial Aquifer Thickness = Depth of Water+((Discharge*log((Radius of Influence/Radius of Well),e))/(2*pi*Coefficient of Permeability*Aquifer Thickness)). To calculate Aquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer, you need Depth of Water (h_w), Discharge (Q), Radius of Influence (R_w), Radius of Well (r), Coefficient of Permeability (K_w) & Aquifer Thickness (b_w). With our tool, you need to enter the respective value for Depth of Water, Discharge, Radius of Influence, Radius of Well, Coefficient of Permeability & Aquifer Thickness 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 Initial Aquifer Thickness?

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

Initial Aquifer Thickness = Depth of Water+((Discharge*log((Radius of Influence/Radius of Well),10))/(2.72*Coefficient of Permeability*Aquifer Thickness))
Initial Aquifer Thickness = Depth of Water+((Discharge*log((Radius of Influence/Radius of Well),e))/(2*pi*Coefficient of Transmissibility in Enviro. Eng.))
Initial Aquifer Thickness = Depth of Water+((Discharge*log((Radius of Influence/Radius of Well),10))/(2.72*Coefficient of Transmissibility in Enviro. Eng.))

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