Aquifer Thickness from Impermeable Layer given Coefficient of Transmissibility 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 Transmissibility in Enviro. Eng. is defined as the rate of flow of water in gallons per day through a vertical strip of the aquifer.ⓘ Coefficient of Transmissibility in Enviro. Eng. [T_w]			+10% -10%

✖Initial Aquifer Thickness is the aquifer thickness at initial stage before pumping.ⓘ Aquifer Thickness from Impermeable Layer given Coefficient of Transmissibility [H_i]

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Aquifer Thickness from Impermeable Layer given Coefficient of Transmissibility 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 Transmissibility in Enviro. Eng.))
H_i = h_w+((Q*log((R_w/r),e))/(2*pi*T_w))
This formula uses 2 Constants, 1 Functions, 6 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 Transmissibility in Enviro. Eng. - (Measured in Square Meter per Second) - Coefficient of Transmissibility in Enviro. Eng. is defined as the rate of flow of water in gallons per day through a vertical strip of the aquifer.

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 Transmissibility in Enviro. Eng.: 26.9 Square Meter per Second --> 26.9 Square Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_i = h_w+((Q*log((R_w/r),e))/(2*pi*T_w)) --> 2.44+((1.01*log((8.6/7.5),e))/(2*pi*26.9))

Evaluating ... ...

H_i = 2.483663172051

STEP 3: Convert Result to Output's Unit

2.483663172051 Meter --> No Conversion Required

FINAL ANSWER

2.483663172051 ≈ 2.483663 Meter <-- Initial Aquifer Thickness

(Calculation completed in 00.020 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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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 Coefficient of Transmissibility Formula

LaTeX Go

Initial Aquifer Thickness = Depth of Water+((Discharge*log((Radius of Influence/Radius of Well),e))/(2*pi*Coefficient of Transmissibility in Enviro. Eng.))
H_i = h_w+((Q*log((R_w/r),e))/(2*pi*T_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 Coefficient of Transmissibility?

Aquifer Thickness from Impermeable Layer given Coefficient of Transmissibility calculator uses Initial Aquifer Thickness = Depth of Water+((Discharge*log((Radius of Influence/Radius of Well),e))/(2*pi*Coefficient of Transmissibility in Enviro. Eng.)) to calculate the Initial Aquifer Thickness, The Aquifer Thickness from Impermeable Layer given Coefficient of Transmissibility formula is defined as the value of aquifer thickness when we have prior information of coefficient of transmissibility. Initial Aquifer Thickness is denoted by H_i symbol.

How to calculate Aquifer Thickness from Impermeable Layer given Coefficient of Transmissibility using this online calculator? To use this online calculator for Aquifer Thickness from Impermeable Layer given Coefficient of Transmissibility, enter Depth of Water (h_w), Discharge (Q), Radius of Influence (R_w), Radius of Well (r) & Coefficient of Transmissibility in Enviro. Eng. (T_w) and hit the calculate button. Here is how the Aquifer Thickness from Impermeable Layer given Coefficient of Transmissibility calculation can be explained with given input values -> 2.483663 = 2.44+((1.01*log((8.6/7.5),e))/(2*pi*26.9)).

FAQ

What is Aquifer Thickness from Impermeable Layer given Coefficient of Transmissibility?

The Aquifer Thickness from Impermeable Layer given Coefficient of Transmissibility formula is defined as the value of aquifer thickness when we have prior information of coefficient of transmissibility and is represented as H_i = h_w+((Q*log((R_w/r),e))/(2*pi*T_w)) or Initial Aquifer Thickness = Depth of Water+((Discharge*log((Radius of Influence/Radius of Well),e))/(2*pi*Coefficient of Transmissibility in Enviro. Eng.)). 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 Transmissibility in Enviro. Eng. is defined as the rate of flow of water in gallons per day through a vertical strip of the aquifer.

How to calculate Aquifer Thickness from Impermeable Layer given Coefficient of Transmissibility?

The Aquifer Thickness from Impermeable Layer given Coefficient of Transmissibility formula is defined as the value of aquifer thickness when we have prior information of coefficient of transmissibility is calculated using Initial Aquifer Thickness = Depth of Water+((Discharge*log((Radius of Influence/Radius of Well),e))/(2*pi*Coefficient of Transmissibility in Enviro. Eng.)). To calculate Aquifer Thickness from Impermeable Layer given Coefficient of Transmissibility, you need Depth of Water (h_w), Discharge (Q), Radius of Influence (R_w), Radius of Well (r) & Coefficient of Transmissibility in Enviro. Eng. (T_w). With our tool, you need to enter the respective value for Depth of Water, Discharge, Radius of Influence, Radius of Well & Coefficient of Transmissibility in Enviro. Eng 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 Transmissibility in Enviro. Eng. 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),e))/(2*pi*Coefficient of Permeability*Aquifer Thickness))
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),10))/(2.72*Coefficient of Transmissibility in Enviro. Eng.))

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