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)))
bp = Q/((2.72*Kw*(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 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.
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: 1125 Centimeter per Second --> 11.25 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
bp = Q/((2.72*Kw*(h2-h1))/(log((r2/r1),10))) --> 1.01/((2.72*11.25*(17.8644-17.85))/(log((10/1.07),10)))
Evaluating ... ...
bp = 2.36151065604315
STEP 3: Convert Result to Output's Unit
2.36151065604315 Meter --> No Conversion Required
FINAL ANSWER
2.36151065604315 2.361511 Meter <-- Aquifer Thickness During Pumping
(Calculation completed in 00.004 seconds)

Credits

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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 given Depth of Water in Two Wells Formula

​LaTeX ​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)))
bp = Q/((2.72*Kw*(h2-h1))/(log((r2/r1),10)))

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 formula is defined as the calculation of the value of aquifer thickness when we have prior information of depth of water in two wells. Aquifer Thickness During Pumping is denoted by bp 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 (Kw), 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*11.25*(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 formula is defined as the calculation of the value of aquifer thickness when we have prior information of depth of water in two wells and is represented as bp = Q/((2.72*Kw*(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 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, 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 formula is defined as the calculation of the value of aquifer thickness when we have prior information of depth of water in two wells 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 (Kw), 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 1 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)))
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