Thickness of Confined Aquifer given Discharge in Confined Aquifer Calculator

✖Discharge is the flow rate of water that is extracted from or injected into a well.ⓘ Discharge [Q]			+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%
✖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%
✖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%

✖Aquifer Thickness During Pumping is the thickness of aquifer during pumping stage.ⓘ Thickness of Confined Aquifer given Discharge in Confined Aquifer [b_p]

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Thickness of Confined Aquifer given Discharge in Confined Aquifer Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Aquifer Thickness During Pumping - (Measured in Meter) - Aquifer Thickness During Pumping is the thickness of aquifer during pumping stage.
Discharge - (Measured in Cubic Meter per Second) - Discharge is the flow rate of water that is extracted from or injected into a well.
Coefficient of Permeability - (Measured in Meter per Second) - Coefficient of Permeability is the velocity in meters or centimeters per second of water through soils.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Discharge: 1.01 Cubic Meter per Second --> 1.01 Cubic Meter per Second No Conversion Required
Coefficient of Permeability: 1125 Centimeter per Second --> 11.25 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
Radius of Influence: 8.6 Meter --> 8.6 Meter No Conversion Required
Radius of Well: 7.5 Meter --> 7.5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b_p = Q/((2*pi*K_w*(H_i-h_w))/(log((R_w/r),e))) --> 1.01/((2*pi*11.25*(2.48-2.44))/(log((8.6/7.5),e)))

Evaluating ... ...

b_p = 2.61008739593759

STEP 3: Convert Result to Output's Unit

2.61008739593759 Meter --> No Conversion Required

FINAL ANSWER

2.61008739593759 ≈ 2.610087 Meter <-- Aquifer Thickness During Pumping

(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))

Thickness of Confined Aquifer 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 Thickness of Confined Aquifer given Discharge in Confined Aquifer?

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

How to calculate Thickness of Confined Aquifer given Discharge in Confined Aquifer using this online calculator? To use this online calculator for Thickness of Confined Aquifer given Discharge in Confined Aquifer, enter Discharge (Q), Coefficient of Permeability (K_w), Initial Aquifer Thickness (H_i), Depth of Water (h_w), Radius of Influence (R_w) & Radius of Well (r) and hit the calculate button. Here is how the Thickness of Confined Aquifer given Discharge in Confined Aquifer calculation can be explained with given input values -> 2.936348 = 1.01/((2*pi*11.25*(2.48-2.44))/(log((8.6/7.5),e))).

FAQ

What is Thickness of Confined Aquifer given Discharge in Confined Aquifer?

The Thickness of Confined Aquifer given Discharge in Confined Aquifer formula is defined as the value of thickness of confined aquifer when we have prior information of other parameters used and is represented as b_p = Q/((2*pi*K_w*(H_i-h_w))/(log((R_w/r),e))) or Aquifer Thickness During Pumping = Discharge/((2*pi*Coefficient of Permeability*(Initial Aquifer Thickness-Depth of Water))/(log((Radius of Influence/Radius of Well),e))). Discharge is the flow rate of water that is extracted from or injected into a well, Coefficient of Permeability is the velocity in meters or centimeters per second of water through soils, 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, 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.

How to calculate Thickness of Confined Aquifer given Discharge in Confined Aquifer?

The Thickness of Confined Aquifer given Discharge in Confined Aquifer formula is defined as the value of thickness of confined aquifer when we have prior information of other parameters used is calculated using Aquifer Thickness During Pumping = Discharge/((2*pi*Coefficient of Permeability*(Initial Aquifer Thickness-Depth of Water))/(log((Radius of Influence/Radius of Well),e))). To calculate Thickness of Confined Aquifer given Discharge in Confined Aquifer, you need Discharge (Q), Coefficient of Permeability (K_w), Initial Aquifer Thickness (H_i), Depth of Water (h_w), Radius of Influence (R_w) & Radius of Well (r). With our tool, you need to enter the respective value for Discharge, Coefficient of Permeability, Initial Aquifer Thickness, Depth of Water, Radius of Influence & Radius of Well 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 Aquifer Thickness During Pumping?

In this formula, Aquifer Thickness During Pumping uses Discharge, Coefficient of Permeability, Initial Aquifer Thickness, Depth of Water, Radius of Influence & Radius of Well. We can use 1 other way(s) to calculate the same, which is/are as follows -

Aquifer Thickness During Pumping = Discharge/((2.72*Coefficient of Permeability*(Depth of Water 2-Depth of Water 1))/(log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),10)))

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