Thickness of Aquifer given Discharge in Unconfined Aquifer Solution

STEP 0: Pre-Calculation Summary
Formula Used
Thickness of Unconfined Aquifer = sqrt(Depth of Water^2+(Discharge*log((Radius of Influence/Radius of well),e))/(pi*Coefficient of Permeability in Well Hydraulics))
H = sqrt(hw^2+(Q*log((Rw/r),e))/(pi*KWH))
This formula uses 2 Constants, 2 Functions, 6 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
e - Napier's constant Value Taken As 2.71828182845904523536028747135266249
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
log - Logarithmic function is an inverse function to exponentiation., log(Base, Number)
Variables Used
Thickness of Unconfined Aquifer - (Measured in Meter) - Thickness of Unconfined Aquifer is measured from impermeable layer to the initial level of water table.
Depth of Water - (Measured in Meter) - Depth of Water in the well measured above the impermeable layer.
Discharge - (Measured in Cubic Meter per Second) - Discharge is the rate of flow of a liquid.
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 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.
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 Permeability in Well Hydraulics: 10 Centimeter per Second --> 0.1 Meter per Second (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
H = sqrt(hw^2+(Q*log((Rw/r),e))/(pi*KWH)) --> sqrt(2.44^2+(1.01*log((8.6/7.5),e))/(pi*0.1))
Evaluating ... ...
H = 5.4262681986277
STEP 3: Convert Result to Output's Unit
5.4262681986277 Meter --> No Conversion Required
FINAL ANSWER
5.4262681986277 5.426268 Meter <-- Thickness of Unconfined Aquifer
(Calculation completed in 00.004 seconds)

Credits

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Birsa Institute of Technology (BIT), Sindri
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5 Aquifer Thickness Calculators

Thickness of Aquifer given Discharge in Unconfined Aquifer
Go Thickness of Unconfined Aquifer = sqrt(Depth of Water^2+(Discharge*log((Radius of Influence/Radius of well),e))/(pi*Coefficient of Permeability in Well Hydraulics))
Length of Strainer given Discharge
Go Length of strainer = ((Discharge*log((Radius of Influence/Radius of well),10))/(2.72*Coefficient of Permeability in Well Hydraulics*Total Drawdown in Well))-(Total Drawdown in Well/2)
Thickness of Aquifer for Discharge in Unconfined Aquifer with Base 10
Go Thickness of Unconfined Aquifer = sqrt(Depth of Water^2+(Discharge*log((Radius of Influence/Radius of well),10))/(1.36*Standard Coefficient of Permeability at 20°C))
Thickness of Aquifer given Drawdown Value measured at Well
Go Thickness of Unconfined Aquifer = Total Drawdown in Well+Depth of Water
Cross-section Area of Soil Mass given Flow Velocity
Go Area of Cross Section in Enviro. Engin. = (Rate of Flow/Flow Velocity)

Thickness of Aquifer given Discharge in Unconfined Aquifer Formula

Thickness of Unconfined Aquifer = sqrt(Depth of Water^2+(Discharge*log((Radius of Influence/Radius of well),e))/(pi*Coefficient of Permeability in Well Hydraulics))
H = sqrt(hw^2+(Q*log((Rw/r),e))/(pi*KWH))

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 Aquifer given Discharge in Unconfined Aquifer?

Thickness of Aquifer given Discharge in Unconfined Aquifer calculator uses Thickness of Unconfined Aquifer = sqrt(Depth of Water^2+(Discharge*log((Radius of Influence/Radius of well),e))/(pi*Coefficient of Permeability in Well Hydraulics)) to calculate the Thickness of Unconfined Aquifer, Thickness of Aquifer given Discharge in Unconfined Aquifer calculates value of thickness of aquifer when we have prior information of other parameters used. Thickness of Unconfined Aquifer is denoted by H symbol.

How to calculate Thickness of Aquifer given Discharge in Unconfined Aquifer using this online calculator? To use this online calculator for Thickness of Aquifer given Discharge in Unconfined Aquifer, enter Depth of Water (hw), Discharge (Q), Radius of Influence (Rw), Radius of well (r) & Coefficient of Permeability in Well Hydraulics (KWH) and hit the calculate button. Here is how the Thickness of Aquifer given Discharge in Unconfined Aquifer calculation can be explained with given input values -> 4.138706 = sqrt(2.44^2+(1.01*log((8.6/7.5),e))/(pi*0.1)).

FAQ

What is Thickness of Aquifer given Discharge in Unconfined Aquifer?
Thickness of Aquifer given Discharge in Unconfined Aquifer calculates value of thickness of aquifer when we have prior information of other parameters used and is represented as H = sqrt(hw^2+(Q*log((Rw/r),e))/(pi*KWH)) or Thickness of Unconfined Aquifer = sqrt(Depth of Water^2+(Discharge*log((Radius of Influence/Radius of well),e))/(pi*Coefficient of Permeability in Well Hydraulics)). Depth of Water in the well measured above the impermeable layer, Discharge is the rate of flow of a liquid, 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 Permeability in Well Hydraulics of soil in well hydraulics describes how easily a liquid will move through the soil.
How to calculate Thickness of Aquifer given Discharge in Unconfined Aquifer?
Thickness of Aquifer given Discharge in Unconfined Aquifer calculates value of thickness of aquifer when we have prior information of other parameters used is calculated using Thickness of Unconfined Aquifer = sqrt(Depth of Water^2+(Discharge*log((Radius of Influence/Radius of well),e))/(pi*Coefficient of Permeability in Well Hydraulics)). To calculate Thickness of Aquifer given Discharge in Unconfined Aquifer, you need Depth of Water (hw), Discharge (Q), Radius of Influence (Rw), Radius of well (r) & Coefficient of Permeability in Well Hydraulics (KWH). With our tool, you need to enter the respective value for Depth of Water, Discharge, Radius of Influence, Radius of well & Coefficient of Permeability in Well Hydraulics 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 Thickness of Unconfined Aquifer?
In this formula, Thickness of Unconfined Aquifer uses Depth of Water, Discharge, Radius of Influence, Radius of well & Coefficient of Permeability in Well Hydraulics. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Thickness of Unconfined Aquifer = sqrt(Depth of Water^2+(Discharge*log((Radius of Influence/Radius of well),10))/(1.36*Standard Coefficient of Permeability at 20°C))
  • Thickness of Unconfined Aquifer = Total Drawdown in Well+Depth of Water
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