Thickness of Aquifer given Discharge in Unconfined Aquifer Calculator

✖Depth of Water is the depth in the well measured above the impermeable layer.ⓘ Depth of Water [h_w]			+10% -10%
✖Discharge is the flow rate of water that is extracted from or injected into a well.ⓘ Discharge [Q]			+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%
✖Coefficient of Permeability in Well Hydraulics of soil in well hydraulics describes how easily a liquid will move through the soil.ⓘ Coefficient of Permeability in Well Hydraulics [K_WH]			+10% -10%

✖Thickness of Unconfined Aquifer is measured from impermeable layer to the initial level of water table.ⓘ Thickness of Aquifer given Discharge in Unconfined Aquifer [H]

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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(h_w^2+(Q*log((R_w/r),e))/(pi*K_WH))
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 is the depth in the well measured above the impermeable layer.
Discharge - (Measured in Cubic Meter per Second) - Discharge is the flow rate of water that is extracted from or injected into a well.
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(h_w^2+(Q*log((R_w/r),e))/(pi*K_WH)) --> 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 00.020 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 Aquifer given Discharge in Unconfined Aquifer

LaTeX 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))

Thickness of Aquifer for Discharge in Unconfined Aquifer with Base 10

LaTeX Go Thickness of Aquifer = sqrt(Depth of Water^2+(Discharge*log((Radius of Influence/Radius of Well),10))/(1.36*Standard Coefficient of Permeability at 20°C))

Cross-section Area of Soil Mass given Flow Velocity

LaTeX Go Area of Cross Section in Enviro. Engin. = (Rate of Flow in Aquifer/Flow Velocity for Unconfined Aquifer)

Thickness of Aquifer given Drawdown Value measured at Well

LaTeX Go Thickness of Aquifer = Total Drawdown+Depth of Water

Thickness of Aquifer given Discharge in Unconfined 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 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 formula is defined as the value of thickness of aquifer when we have prior information of discharge in unconfined aquifer. 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 (h_w), Discharge (Q), Radius of Influence (R_w), Radius of Well (r) & Coefficient of Permeability in Well Hydraulics (K_WH) 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 -> 5.426268 = 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 formula is defined as the value of thickness of aquifer when we have prior information of discharge in unconfined aquifer and is represented as H = sqrt(h_w^2+(Q*log((R_w/r),e))/(pi*K_WH)) 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 is the depth in the well measured above the impermeable layer, Discharge is the flow rate of water that is extracted from or injected into a well, 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 formula is defined as the value of thickness of aquifer when we have prior information of discharge in unconfined aquifer 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 (h_w), Discharge (Q), Radius of Influence (R_w), Radius of Well (r) & Coefficient of Permeability in Well Hydraulics (K_WH). 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.

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