Thickness of Aquifer for Discharge in Unconfined Aquifer with Base 10 Calculator

✖Depth of Water in the well measured above the impermeable layer.ⓘ Depth of Water [h_w]			+10% -10%
✖Discharge is the rate of flow of a liquid.ⓘ 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%
✖Standard Coefficient of Permeability at 20°C of pure water at standard temperature.ⓘ Standard Coefficient of Permeability at 20°C [K_s]			+10% -10%

✖The Thickness of Aquifer 1 vertical thickness of the hydrogeologically defined aquifer in which the pore spaces of the rock forming the aquifer are filled (saturated) with water.ⓘ Thickness of Aquifer for Discharge in Unconfined Aquifer with Base 10 [b]

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Thickness of Aquifer for Discharge in Unconfined Aquifer with Base 10

Formula

`"b" = sqrt("h"_{"w"}^2+("Q"*log(("R"_{"w"}/"r"),10))/(1.36*"K"_{"s"}))`

Example

`"2.729791m"=sqrt(("2.44m")^2+("1.01m³/s"*log(("8.6m"/"7.5m"),10))/(1.36*"8.34"))`

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Thickness of Aquifer for Discharge in Unconfined Aquifer with Base 10 Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thickness of Aquifer 1 = sqrt(Depth of Water^2+(Discharge*log((Radius of Influence/Radius of well),10))/(1.36*Standard Coefficient of Permeability at 20°C))
b = sqrt(h_w^2+(Q*log((R_w/r),10))/(1.36*K_s))
This formula uses 2 Functions, 6 Variables

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 Aquifer 1 - (Measured in Meter) - The Thickness of Aquifer 1 vertical thickness of the hydrogeologically defined aquifer in which the pore spaces of the rock forming the aquifer are filled (saturated) with water.
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.
Standard Coefficient of Permeability at 20°C - Standard Coefficient of Permeability at 20°C of pure water at standard temperature.

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
Standard Coefficient of Permeability at 20°C: 8.34 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b = sqrt(h_w^2+(Q*log((R_w/r),10))/(1.36*K_s)) --> sqrt(2.44^2+(1.01*log((8.6/7.5),10))/(1.36*8.34))

Evaluating ... ...

b = 2.72979117793667

STEP 3: Convert Result to Output's Unit

2.72979117793667 Meter --> No Conversion Required

FINAL ANSWER

2.72979117793667 ≈ 2.729791 Meter <-- Thickness of Aquifer 1

(Calculation completed in 00.004 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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< 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 Strainer Length = ((Discharge*log((Radius of Influence/Radius of well),10))/(2.72*Coefficient of Permeability in Well Hydraulics*Total Drawdown in Well in Well Hydraulics))-(Total Drawdown in Well in Well Hydraulics/2)

Thickness of Aquifer for Discharge in Unconfined Aquifer with Base 10

Go Thickness of Aquifer 1 = 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

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

Go Thickness of Aquifer 1 = Total Drawdown in Well+Depth of Water

Thickness of Aquifer for Discharge in Unconfined Aquifer with Base 10 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 Thickness of Aquifer for Discharge in Unconfined Aquifer with Base 10?

Thickness of Aquifer for Discharge in Unconfined Aquifer with Base 10 calculator uses Thickness of Aquifer 1 = sqrt(Depth of Water^2+(Discharge*log((Radius of Influence/Radius of well),10))/(1.36*Standard Coefficient of Permeability at 20°C)) to calculate the Thickness of Aquifer 1, The Thickness of Aquifer for Discharge in Unconfined Aquifer with Base 10 is defined as the value of thickness of aquifer when we have prior information of other parameters used. Thickness of Aquifer 1 is denoted by b symbol.

How to calculate Thickness of Aquifer for Discharge in Unconfined Aquifer with Base 10 using this online calculator? To use this online calculator for Thickness of Aquifer for Discharge in Unconfined Aquifer with Base 10, enter Depth of Water (h_w), Discharge (Q), Radius of Influence (R_w), Radius of well (r) & Standard Coefficient of Permeability at 20°C (K_s) and hit the calculate button. Here is how the Thickness of Aquifer for Discharge in Unconfined Aquifer with Base 10 calculation can be explained with given input values -> 2.729791 = sqrt(2.44^2+(1.01*log((8.6/7.5),10))/(1.36*8.34)).

FAQ

What is Thickness of Aquifer for Discharge in Unconfined Aquifer with Base 10?

The Thickness of Aquifer for Discharge in Unconfined Aquifer with Base 10 is defined as the value of thickness of aquifer when we have prior information of other parameters used and is represented as b = sqrt(h_w^2+(Q*log((R_w/r),10))/(1.36*K_s)) or Thickness of Aquifer 1 = sqrt(Depth of Water^2+(Discharge*log((Radius of Influence/Radius of well),10))/(1.36*Standard Coefficient of Permeability at 20°C)). 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 & Standard Coefficient of Permeability at 20°C of pure water at standard temperature.

How to calculate Thickness of Aquifer for Discharge in Unconfined Aquifer with Base 10?

The Thickness of Aquifer for Discharge in Unconfined Aquifer with Base 10 is defined as the value of thickness of aquifer when we have prior information of other parameters used is calculated using Thickness of Aquifer 1 = sqrt(Depth of Water^2+(Discharge*log((Radius of Influence/Radius of well),10))/(1.36*Standard Coefficient of Permeability at 20°C)). To calculate Thickness of Aquifer for Discharge in Unconfined Aquifer with Base 10, you need Depth of Water (h_w), Discharge (Q), Radius of Influence (R_w), Radius of well (r) & Standard Coefficient of Permeability at 20°C (K_s). With our tool, you need to enter the respective value for Depth of Water, Discharge, Radius of Influence, Radius of well & Standard Coefficient of Permeability at 20°C 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 Aquifer 1?

In this formula, Thickness of Aquifer 1 uses Depth of Water, Discharge, Radius of Influence, Radius of well & Standard Coefficient of Permeability at 20°C. We can use 1 other way(s) to calculate the same, which is/are as follows -

Thickness of Aquifer 1 = Total Drawdown in Well+Depth of Water

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