Coefficient of Permeability given Discharge in Unconfined Aquifer Calculator

✖Discharge is the flow rate of water that is extracted from or injected into a well.ⓘ Discharge [Q]			+10% -10%
✖Thickness of Unconfined Aquifer is measured from impermeable layer to the initial level of water table.ⓘ Thickness of Unconfined Aquifer [H]			+10% -10%
✖Depth of Water is the depth in the well measured above the impermeable layer.ⓘ Depth of Water [h_w]			+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 given Discharge in Unconfined Aquifer [K_WH]

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Coefficient of Permeability given Discharge in Unconfined Aquifer Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coefficient of Permeability in Well Hydraulics = Discharge/((pi*(Thickness of Unconfined Aquifer^2-Depth of Water^2))/(log((Radius of Influence/Radius of Well),e)))
K_WH = Q/((pi*(H^2-h_w^2))/(log((R_w/r),e)))
This formula uses 2 Constants, 1 Functions, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
e - Napier's constant Value Taken As 2.71828182845904523536028747135266249

Functions Used

log - Logarithmic function is an inverse function to exponentiation., log(Base, Number)

Variables 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.
Discharge - (Measured in Cubic Meter per Second) - Discharge is the flow rate of water that is extracted from or injected into a well.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Discharge: 1.01 Cubic Meter per Second --> 1.01 Cubic Meter per Second No Conversion Required
Thickness of Unconfined Aquifer: 5 Meter --> 5 Meter No Conversion Required
Depth of Water: 2.44 Meter --> 2.44 Meter 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_WH = Q/((pi*(H^2-h_w^2))/(log((R_w/r),e))) --> 1.01/((pi*(5^2-2.44^2))/(log((8.6/7.5),e)))

Evaluating ... ...

K_WH = 0.123334522867515

STEP 3: Convert Result to Output's Unit

0.123334522867515 Meter per Second -->12.3334522867515 Centimeter per Second (Check conversion here)

FINAL ANSWER

12.3334522867515 ≈ 12.33345 Centimeter per Second <-- Coefficient of Permeability in Well Hydraulics

(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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< Coefficient of Permeability Calculators

Coefficient of Permeability given Discharge in Unconfined Aquifer

LaTeX Go Coefficient of Permeability in Well Hydraulics = Discharge/((pi*(Thickness of Unconfined Aquifer^2-Depth of Water^2))/(log((Radius of Influence/Radius of Well),e)))

Coefficient of Permeability given Discharge in Unconfined Aquifer with Base 10

LaTeX Go Coefficient of Permeability in Well Hydraulics = Discharge/((1.36*(Aquifer Thickness^2-Depth of Water in Well^2))/(log((Radius of Influence/Radius of Well),10)))

Coefficient of Permeability given Rate of Flow

LaTeX Go Coefficient of Permeability given Rate of Flow = (Discharge/(Hydraulic Gradient in Envi. Engi.*Area of Cross Section in Enviro. Engin.))

Coefficient of Permeability given Flow Velocity

LaTeX Go Coefficient of Permeability given Flow Velocity = (Flow Velocity/Hydraulic Gradient in Envi. Engi.)

Coefficient of Permeability given Discharge in Unconfined Aquifer Formula

LaTeX Go

What is Coefficient of Permeability?

The coefficient of permeability of a soil describes how easily a liquid will move through a soil. It is also commonly referred to as the hydraulic conductivity of a soil.

How to Calculate Coefficient of Permeability given Discharge in Unconfined Aquifer?

Coefficient of Permeability given Discharge in Unconfined Aquifer calculator uses Coefficient of Permeability in Well Hydraulics = Discharge/((pi*(Thickness of Unconfined Aquifer^2-Depth of Water^2))/(log((Radius of Influence/Radius of Well),e))) to calculate the Coefficient of Permeability in Well Hydraulics, The Coefficient of Permeability given Discharge in Unconfined Aquifer formula is defined as the value of coefficient of permeability when we have prior information of discharge in unconfined aquifer. Coefficient of Permeability in Well Hydraulics is denoted by K_WH symbol.

How to calculate Coefficient of Permeability given Discharge in Unconfined Aquifer using this online calculator? To use this online calculator for Coefficient of Permeability given Discharge in Unconfined Aquifer, enter Discharge (Q), Thickness of Unconfined Aquifer (H), Depth of Water (h_w), Radius of Influence (R_w) & Radius of Well (r) and hit the calculate button. Here is how the Coefficient of Permeability given Discharge in Unconfined Aquifer calculation can be explained with given input values -> 1233.345 = 1.01/((pi*(5^2-2.44^2))/(log((8.6/7.5),e))).

FAQ

What is Coefficient of Permeability given Discharge in Unconfined Aquifer?

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

How to calculate Coefficient of Permeability given Discharge in Unconfined Aquifer?

The Coefficient of Permeability given Discharge in Unconfined Aquifer formula is defined as the value of coefficient of permeability when we have prior information of discharge in unconfined aquifer is calculated using Coefficient of Permeability in Well Hydraulics = Discharge/((pi*(Thickness of Unconfined Aquifer^2-Depth of Water^2))/(log((Radius of Influence/Radius of Well),e))). To calculate Coefficient of Permeability given Discharge in Unconfined Aquifer, you need Discharge (Q), Thickness of Unconfined Aquifer (H), Depth of Water (h_w), Radius of Influence (R_w) & Radius of Well (r). With our tool, you need to enter the respective value for Discharge, Thickness of Unconfined Aquifer, Depth of Water, Radius of Influence & Radius of Well 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 Coefficient of Permeability in Well Hydraulics?

In this formula, Coefficient of Permeability in Well Hydraulics uses Discharge, Thickness of Unconfined Aquifer, Depth of Water, Radius of Influence & Radius of Well. We can use 3 other way(s) to calculate the same, which is/are as follows -

Coefficient of Permeability in Well Hydraulics = Discharge/((1.36*(Aquifer Thickness^2-Depth of Water in Well^2))/(log((Radius of Influence/Radius of Well),10)))
Coefficient of Permeability in Well Hydraulics = Discharge/((pi*(Depth of Water 2^2-Depth of Water 1^2))/(log((Radial Distance at Observation Well 2/Observation Well 1 Radial Distance),e)))
Coefficient of Permeability in Well Hydraulics = Discharge/((1.36*(Depth of Water 2^2-Depth of Water 1^2))/(log((Radial Distance at Observation Well 2/Radial Distance at Well 1),10)))

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