Coefficient of Permeability given Confined Aquifer Discharge Calculator

✖Discharge is the flow rate of water that is extracted from or injected into a well.ⓘ Discharge [Q]			+10% -10%
✖Aquifer Thickness (at Midpoint between Equipotential lines) or otherwise is the thickness of aquifer in which the pore spaces of rock forming the aquifer may or may not be with water.ⓘ Aquifer Thickness [b_w]			+10% -10%
✖The Total Drawdown is defined as the reduction in hydraulic head observed at a well in an aquifer, typically due to pumping a well as part of an aquifer test or well test.ⓘ Total Drawdown [s_t]			+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 Confined Aquifer Discharge [K_WH]

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Coefficient of Permeability given Confined Aquifer Discharge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coefficient of Permeability in Well Hydraulics = Discharge/((2*pi*Aquifer Thickness*Total Drawdown)/(log((Radius of Influence/Radius of Well),e)))
K_WH = Q/((2*pi*b_w*s_t)/(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.
Aquifer Thickness - (Measured in Meter) - Aquifer Thickness (at Midpoint between Equipotential lines) or otherwise is the thickness of aquifer in which the pore spaces of rock forming the aquifer may or may not be with water.
Total Drawdown - (Measured in Meter) - The Total Drawdown is defined as the reduction in hydraulic head observed at a well in an aquifer, typically due to pumping a well as part of an aquifer test or well test.
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
Aquifer Thickness: 14.15 Meter --> 14.15 Meter No Conversion Required
Total Drawdown: 0.83 Meter --> 0.83 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/((2*pi*b_w*s_t)/(log((R_w/r),e))) --> 1.01/((2*pi*14.15*0.83)/(log((8.6/7.5),e)))

Evaluating ... ...

K_WH = 0.100007605957845

STEP 3: Convert Result to Output's Unit

0.100007605957845 Meter per Second -->10.0007605957845 Centimeter per Second (Check conversion here)

FINAL ANSWER

10.0007605957845 ≈ 10.00076 Centimeter per Second <-- Coefficient of Permeability in Well Hydraulics

(Calculation completed in 00.020 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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< Coefficient of Permeability Calculators

Coefficient of Permeability given Depth of Water in Two Wells

LaTeX Go Coefficient of Permeability = Discharge/((2.72*Aquifer Thickness During Pumping*(Depth of Water 2-Depth of Water 1))/(log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),10)))

Coefficient of Permeability given Confined Aquifer Discharge

LaTeX Go Coefficient of Permeability in Well Hydraulics = Discharge/((2*pi*Aquifer Thickness*Total Drawdown)/(log((Radius of Influence/Radius of Well),e)))

Coefficient of Permeability given Confined Aquifer Discharge with Base 10

LaTeX Go Coefficient of Permeability in Well Hydraulics = Discharge/((2.72*Aquifer Thickness*Total Drawdown in Well)/(log((Radius of Influence/Radius of Well),10)))

Coefficient of Permeability given Confined Aquifer Discharge Formula

LaTeX Go

Coefficient of Permeability in Well Hydraulics = Discharge/((2*pi*Aquifer Thickness*Total Drawdown)/(log((Radius of Influence/Radius of Well),e)))
K_WH = Q/((2*pi*b_w*s_t)/(log((R_w/r),e)))

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 Confined Aquifer Discharge?

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

How to calculate Coefficient of Permeability given Confined Aquifer Discharge using this online calculator? To use this online calculator for Coefficient of Permeability given Confined Aquifer Discharge, enter Discharge (Q), Aquifer Thickness (b_w), Total Drawdown (s_t), Radius of Influence (R_w) & Radius of Well (r) and hit the calculate button. Here is how the Coefficient of Permeability given Confined Aquifer Discharge calculation can be explained with given input values -> 943.4051 = 1.01/((2*pi*14.15*0.83)/(log((8.6/7.5),e))).

FAQ

What is Coefficient of Permeability given Confined Aquifer Discharge?

The Coefficient of Permeability given Confined Aquifer Discharge formula is defined as the value of coefficient of permeability when we have prior information of confined aquifer discharge and is represented as K_WH = Q/((2*pi*b_w*s_t)/(log((R_w/r),e))) or Coefficient of Permeability in Well Hydraulics = Discharge/((2*pi*Aquifer Thickness*Total Drawdown)/(log((Radius of Influence/Radius of Well),e))). Discharge is the flow rate of water that is extracted from or injected into a well, Aquifer Thickness (at Midpoint between Equipotential lines) or otherwise is the thickness of aquifer in which the pore spaces of rock forming the aquifer may or may not be with water, The Total Drawdown is defined as the reduction in hydraulic head observed at a well in an aquifer, typically due to pumping a well as part of an aquifer test or well test, 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 Confined Aquifer Discharge?

The Coefficient of Permeability given Confined Aquifer Discharge formula is defined as the value of coefficient of permeability when we have prior information of confined aquifer discharge is calculated using Coefficient of Permeability in Well Hydraulics = Discharge/((2*pi*Aquifer Thickness*Total Drawdown)/(log((Radius of Influence/Radius of Well),e))). To calculate Coefficient of Permeability given Confined Aquifer Discharge, you need Discharge (Q), Aquifer Thickness (b_w), Total Drawdown (s_t), Radius of Influence (R_w) & Radius of Well (r). With our tool, you need to enter the respective value for Discharge, Aquifer Thickness, Total Drawdown, 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, Aquifer Thickness, Total Drawdown, Radius of Influence & Radius of Well. We can use 1 other way(s) to calculate the same, which is/are as follows -

Coefficient of Permeability in Well Hydraulics = Discharge/((2.72*Aquifer Thickness*Total Drawdown in Well)/(log((Radius of Influence/Radius of Well),10)))

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