Depth of Water in 2nd Well given Confined Aquifer Discharge Solution

STEP 0: Pre-Calculation Summary
Formula Used
Depth of Water 2 = Depth of Water 1+((Discharge*log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),10))/(2.72*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping))
h2 = h1+((Q*log((r2/r1),10))/(2.72*KWH*bp))
This formula uses 1 Functions, 7 Variables
Functions Used
log - Logarithmic function is an inverse function to exponentiation., log(Base, Number)
Variables Used
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.
Discharge - (Measured in Cubic Meter per Second) - Discharge is the flow rate of water that is extracted from or injected into a 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.
Coefficient of Permeability in Well Hydraulics - (Measured in Meter per Second) - Coefficient of Permeability in Well Hydraulics of soil in well hydraulics describes how easily a liquid will move through the soil.
Aquifer Thickness During Pumping - (Measured in Meter) - Aquifer Thickness During Pumping is the thickness of aquifer during pumping stage.
STEP 1: Convert Input(s) to Base Unit
Depth of Water 1: 17.85 Meter --> 17.85 Meter No Conversion Required
Discharge: 1.01 Cubic Meter per Second --> 1.01 Cubic Meter per Second 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
Coefficient of Permeability in Well Hydraulics: 10 Centimeter per Second --> 0.1 Meter per Second (Check conversion ​here)
Aquifer Thickness During Pumping: 2.36 Meter --> 2.36 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
h2 = h1+((Q*log((r2/r1),10))/(2.72*KWH*bp)) --> 17.85+((1.01*log((10/1.07),10))/(2.72*0.1*2.36))
Evaluating ... ...
h2 = 19.4710369757583
STEP 3: Convert Result to Output's Unit
19.4710369757583 Meter --> No Conversion Required
FINAL ANSWER
19.4710369757583 19.47104 Meter <-- Depth of Water 2
(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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Verified by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
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Depth of Water in Well Calculators

Depth of Water in Well given Discharge in Confined Aquifer
​ LaTeX ​ Go Depth of Water in Well = Aquifer Thickness-((Discharge*log((Radius of Influence/Radius of Well),e))/(2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping))
Depth of Water in Well given Coefficient of Transmissibility
​ LaTeX ​ Go Depth of Water = Initial Aquifer Thickness-((Discharge*log((Radius of Influence/Radius of Well),e))/(2*pi*Coefficient of Transmissibility))
Depth of Water in Well given Discharge in Confined Aquifer with Base 10
​ LaTeX ​ Go Depth of Water in Well = Aquifer Thickness-((Discharge*log((Radius of Influence/Radius of Well),10))/(2.72*Coefficient of Permeability*Aquifer Thickness During Pumping))
Depth of Water in Well given Coefficient of Transmissibility with Base 10
​ LaTeX ​ Go Depth of Water in Well = Aquifer Thickness-((Discharge*log((Radius of Influence/Radius of Well),10))/(2.72*Coefficient of Transmissibility))

Depth of Water in 2nd Well given Confined Aquifer Discharge Formula

​LaTeX ​Go
Depth of Water 2 = Depth of Water 1+((Discharge*log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),10))/(2.72*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping))
h2 = h1+((Q*log((r2/r1),10))/(2.72*KWH*bp))

What is Confined Aquifer?

A confined aquifer is an aquifer below the land surface that is saturated with water. Layers of impermeable material are both above and below the aquifer, causing it to be under pressure so that when the aquifer is penetrated by a well, the water will rise above the top of the aquifer.

How to Calculate Depth of Water in 2nd Well given Confined Aquifer Discharge?

Depth of Water in 2nd Well given Confined Aquifer Discharge calculator uses Depth of Water 2 = Depth of Water 1+((Discharge*log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),10))/(2.72*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping)) to calculate the Depth of Water 2, The Depth of Water in 2nd Well given Confined Aquifer Discharge is defined as the calculation of depth of water in 2nd well when we have prior information of confined aquifer discharge. Depth of Water 2 is denoted by h2 symbol.

How to calculate Depth of Water in 2nd Well given Confined Aquifer Discharge using this online calculator? To use this online calculator for Depth of Water in 2nd Well given Confined Aquifer Discharge, enter Depth of Water 1 (h1), Discharge (Q), Radial Distance at Observation Well 2 (r2), Radial Distance at Observation Well 1 (r1), Coefficient of Permeability in Well Hydraulics (KWH) & Aquifer Thickness During Pumping (bp) and hit the calculate button. Here is how the Depth of Water in 2nd Well given Confined Aquifer Discharge calculation can be explained with given input values -> 19.47104 = 17.85+((1.01*log((10/1.07),10))/(2.72*0.1*2.36)).

FAQ

What is Depth of Water in 2nd Well given Confined Aquifer Discharge?
The Depth of Water in 2nd Well given Confined Aquifer Discharge is defined as the calculation of depth of water in 2nd well when we have prior information of confined aquifer discharge and is represented as h2 = h1+((Q*log((r2/r1),10))/(2.72*KWH*bp)) or Depth of Water 2 = Depth of Water 1+((Discharge*log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),10))/(2.72*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping)). Depth of Water 1 is the depth of water in the 1st considered well, Discharge is the flow rate of water that is extracted from or injected into a 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, Coefficient of Permeability in Well Hydraulics of soil in well hydraulics describes how easily a liquid will move through the soil & Aquifer Thickness During Pumping is the thickness of aquifer during pumping stage.
How to calculate Depth of Water in 2nd Well given Confined Aquifer Discharge?
The Depth of Water in 2nd Well given Confined Aquifer Discharge is defined as the calculation of depth of water in 2nd well when we have prior information of confined aquifer discharge is calculated using Depth of Water 2 = Depth of Water 1+((Discharge*log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),10))/(2.72*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping)). To calculate Depth of Water in 2nd Well given Confined Aquifer Discharge, you need Depth of Water 1 (h1), Discharge (Q), Radial Distance at Observation Well 2 (r2), Radial Distance at Observation Well 1 (r1), Coefficient of Permeability in Well Hydraulics (KWH) & Aquifer Thickness During Pumping (bp). With our tool, you need to enter the respective value for Depth of Water 1, Discharge, Radial Distance at Observation Well 2, Radial Distance at Observation Well 1, Coefficient of Permeability in Well Hydraulics & Aquifer Thickness During Pumping 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 Depth of Water 2?
In this formula, Depth of Water 2 uses Depth of Water 1, Discharge, Radial Distance at Observation Well 2, Radial Distance at Observation Well 1, Coefficient of Permeability in Well Hydraulics & Aquifer Thickness During Pumping. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Depth of Water 2 = Depth of Water 1+((Discharge*log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),10))/(2.72*Coefficient of Transmissibility))
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