Aquifer Thickness given Depth of Water in Two Wells Calculator

✖Discharge is the rate of flow of a liquid.ⓘ 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%
✖Depth of water 2 means the depth of the water in 2nd well.ⓘ Depth of Water 2 [h₂]			+10% -10%
✖Depth of water 1 is the depth of water in the 1st considered well.ⓘ Depth of Water 1 [h₁]			+10% -10%
✖Radial Distance at Observation Well 2 is the value of radial distance from well 2 when we have prior information of other parameters used.ⓘ Radial Distance at Observation Well 2 [r₂]			+10% -10%
✖Radial Distance at Observation Well 1 is the value of radial distance from well 1 when we have prior information of other parameters used.ⓘ Radial Distance at Observation Well 1 [r₁]			+10% -10%

✖Aquifer Thickness During Pumping is the thickness of aquifer during pumping stage.ⓘ Aquifer Thickness given Depth of Water in Two Wells [b_p]

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Formula

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Aquifer Thickness given Depth of Water in Two Wells

Formula

`"b"_{"p"} = "Q"/((2.72*"K"_{"w"}*("h"_{"2"}-"h"_{"1"}))/(log(("r"_{"2"}/"r"_{"1"}),10)))`

Example

`"2.656699m"="1.01m³/s"/((2.72*"1000cm/s"*("17.8644m"-"17.85m"))/(log(("10.0m"/"1.07m"),10)))`

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Aquifer Thickness given Depth of Water in Two Wells Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
b_p = Q/((2.72*K_w*(h₂-h₁))/(log((r₂/r₁),10)))
This formula uses 1 Functions, 7 Variables

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 rate of flow of a liquid.
Coefficient of Permeability - (Measured in Meter per Second) - Coefficient of Permeability is the velocity in meters or centimeters per second of water through soils.
Depth of Water 2 - (Measured in Meter) - Depth of water 2 means the depth of the water in 2nd well.
Depth of Water 1 - (Measured in Meter) - Depth of water 1 is the depth of water in the 1st considered well.
Radial Distance at Observation Well 2 - (Measured in Meter) - Radial Distance at Observation Well 2 is the value of radial distance from well 2 when we have prior information of other parameters used.
Radial Distance at Observation Well 1 - (Measured in Meter) - Radial Distance at Observation Well 1 is the value of radial distance from well 1 when we have prior information of other parameters used.

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: 1000 Centimeter per Second --> 10 Meter per Second (Check conversion here)
Depth of Water 2: 17.8644 Meter --> 17.8644 Meter No Conversion Required
Depth of Water 1: 17.85 Meter --> 17.85 Meter No Conversion Required
Radial Distance at Observation Well 2: 10 Meter --> 10 Meter No Conversion Required
Radial Distance at Observation Well 1: 1.07 Meter --> 1.07 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b_p = Q/((2.72*K_w*(h₂-h₁))/(log((r₂/r₁),10))) --> 1.01/((2.72*10*(17.8644-17.85))/(log((10/1.07),10)))

Evaluating ... ...

b_p = 2.65669948804855

STEP 3: Convert Result to Output's Unit

2.65669948804855 Meter --> No Conversion Required

FINAL ANSWER

2.65669948804855 ≈ 2.656699 Meter <-- Aquifer Thickness During Pumping

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Environmental Engineering » Water Resources : Ground Water » Well Hydraulics » Confined Aquifer » Aquifer Thickness » Aquifer Thickness given Depth of Water in Two Wells

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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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< 9 Aquifer Thickness Calculators

Thickness of Confined Aquifer given Discharge in Confined Aquifer

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)))

Aquifer Thickness from Impermeable Layer given Discharge in Confined Aquifer

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 given Depth of Water in Two Wells

Go 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)))

Aquifer Thickness from Impermeable Layer given Coefficient of Transmissibility

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

Aquifer Thickness given Confined Aquifer Discharge

Go Aquifer Thickness = Discharge/((2*pi*Coefficient of Permeability in Well Hydraulics*Total Drawdown in Well)/(log((Radius of Influence/Radius of well),e)))

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

Go Aquifer Thickness During Pumping = Discharge/((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 with Base 10

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 with Base 10

Go Initial Aquifer Thickness = Depth of Water+((Discharge*log((Radius of Influence/Radius of well),10))/(2.72*Coefficient of Transmissibility in Enviro. Eng.))

Aquifer Thickness given Confined Aquifer Discharge with Base 10

Go Aquifer Thickness During Pumping = Discharge/((2.72*Coefficient of Permeability*Total Drawdown in Well)/(log((Radius of Influence/Radius of well),10)))

Aquifer Thickness given Depth of Water in Two Wells Formula

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 given Depth of Water in Two Wells?

Aquifer Thickness given Depth of Water in Two Wells calculator uses 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))) to calculate the Aquifer Thickness During Pumping, The Aquifer Thickness given Depth of Water in Two Wells is defined as the value of aquifer thickness when we have prior information of other parameters used. Aquifer Thickness During Pumping is denoted by b_p symbol.

How to calculate Aquifer Thickness given Depth of Water in Two Wells using this online calculator? To use this online calculator for Aquifer Thickness given Depth of Water in Two Wells, enter Discharge (Q), Coefficient of Permeability (K_w), Depth of Water 2 (h₂), Depth of Water 1 (h₁), Radial Distance at Observation Well 2 (r₂) & Radial Distance at Observation Well 1 (r₁) and hit the calculate button. Here is how the Aquifer Thickness given Depth of Water in Two Wells calculation can be explained with given input values -> 2.656699 = 1.01/((2.72*10*(17.8644-17.85))/(log((10/1.07),10))).

FAQ

What is Aquifer Thickness given Depth of Water in Two Wells?

The Aquifer Thickness given Depth of Water in Two Wells is defined as the value of aquifer thickness when we have prior information of other parameters used and is represented as b_p = Q/((2.72*K_w*(h₂-h₁))/(log((r₂/r₁),10))) or 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))). Discharge is the rate of flow of a liquid, Coefficient of Permeability is the velocity in meters or centimeters per second of water through soils, Depth of water 2 means the depth of the water in 2nd well, Depth of water 1 is the depth of water in the 1st considered well, Radial Distance at Observation Well 2 is the value of radial distance from well 2 when we have prior information of other parameters used & Radial Distance at Observation Well 1 is the value of radial distance from well 1 when we have prior information of other parameters used.

How to calculate Aquifer Thickness given Depth of Water in Two Wells?

The Aquifer Thickness given Depth of Water in Two Wells is defined as the value of aquifer thickness when we have prior information of other parameters used is calculated using 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))). To calculate Aquifer Thickness given Depth of Water in Two Wells, you need Discharge (Q), Coefficient of Permeability (K_w), Depth of Water 2 (h₂), Depth of Water 1 (h₁), Radial Distance at Observation Well 2 (r₂) & Radial Distance at Observation Well 1 (r₁). With our tool, you need to enter the respective value for Discharge, Coefficient of Permeability, Depth of Water 2, Depth of Water 1, Radial Distance at Observation Well 2 & Radial Distance at Observation Well 1 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, Depth of Water 2, Depth of Water 1, Radial Distance at Observation Well 2 & Radial Distance at Observation Well 1. We can use 3 other way(s) to calculate the same, which is/are as follows -

Aquifer Thickness During Pumping = Discharge/((2*pi*Coefficient of Permeability*(Initial Aquifer Thickness-Depth of Water))/(log((Radius of Influence/Radius of well),e)))
Aquifer Thickness During Pumping = Discharge/((2.72*Coefficient of Permeability in Well Hydraulics*(Aquifer Thickness-Depth of Water))/(log((Radius of Influence/Radius of well),10)))
Aquifer Thickness During Pumping = Discharge/((2.72*Coefficient of Permeability*Total Drawdown in Well)/(log((Radius of Influence/Radius of well),10)))

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