Equation for Specific or Intrinsic Permeability Solution

STEP 0: Pre-Calculation Summary
Formula Used
Intrinsic Permeability = Shape Factor*Mean Particle Size of the Porous Medium^2
Ko = C*dm^2
This formula uses 3 Variables
Variables Used
Intrinsic Permeability - (Measured in Square Meter) - Intrinsic Permeability or Specific Permeability is a measure of relative ease with which porous medium can transmit fluid under potential gradient and is property of medium alone.
Shape Factor - Shape Factor which depends on the porosity, packing, shape of grains and grain-size distribution of the porous medium.
Mean Particle Size of the Porous Medium - (Measured in Meter) - Mean Particle Size of the Porous Medium describing the dimensions of solid particles.
STEP 1: Convert Input(s) to Base Unit
Shape Factor: 1.8 --> No Conversion Required
Mean Particle Size of the Porous Medium: 0.02 Meter --> 0.02 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ko = C*dm^2 --> 1.8*0.02^2
Evaluating ... ...
Ko = 0.00072
STEP 3: Convert Result to Output's Unit
0.00072 Square Meter --> No Conversion Required
FINAL ANSWER
0.00072 Square Meter <-- Intrinsic Permeability
(Calculation completed in 00.004 seconds)

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Coorg Institute of Technology (CIT), Coorg
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21 Coefficient of Permeability Calculators

Hagen Poiseuille flow or mean particle size of porous medium laminar flow through conduit
Go Mean Particle Size of the Porous Medium = sqrt((Coefficient of Permeability (Hagen-Poiseuille)*Dynamic Viscosity of the Fluid)/(Shape Factor*(Unit Weight of Fluid/1000)))
Dynamic viscosity of fluid of laminar flow through conduit or Hagen Poiseuille flow
Go Dynamic Viscosity of the Fluid = (Shape Factor*Mean Particle Size of the Porous Medium^2)*((Unit Weight of Fluid/1000)/Coefficient of Permeability (Hagen-Poiseuille))
Coefficient of permeability from analogy of laminar flow (Hagen Poiseuille flow)
Go Coefficient of Permeability (Hagen-Poiseuille) = Shape Factor*(Mean Particle Size of the Porous Medium^2)*(Unit Weight of Fluid/1000)/Dynamic Viscosity of the Fluid
Coefficient of permeability at any temperature t for standard value of coefficient of permeability
Go Coefficient of Permeability at any Temperature t = (Standard Coefficient of Permeability at 20°C*Kinematic Viscosity at 20° C)/Kinematic Viscosity at t° C
Kinematic Viscosity at 20 degree Celsius for standard value of coefficient of permeability
Go Kinematic Viscosity at 20° C = (Coefficient of Permeability at any Temperature t*Kinematic Viscosity at t° C)/Standard Coefficient of Permeability at 20°C
Kinematic Viscosity for standard value of coefficient of permeability
Go Kinematic Viscosity at t° C = (Standard Coefficient of Permeability at 20°C*Kinematic Viscosity at 20° C)/Coefficient of Permeability at any Temperature t
Standard value of coefficient of permeability
Go Standard Coefficient of Permeability at 20°C = Coefficient of Permeability at any Temperature t*(Kinematic Viscosity at t° C/Kinematic Viscosity at 20° C)
Coefficient of permeability at temperature of permeameter experiment
Go Coefficient of Permeability at the temperature = (Discharge/Cross-Sectional Area)*(1/(Constant Head Difference/Length))
Cross sectional area when coefficient of permeability at permeameter experiment is considered
Go Cross-Sectional Area = Discharge/(Coefficient of Permeability at the temperature*(Constant Head Difference/Length))
Discharge when Coefficient of Permeability at Permeameter Experiment is Considered
Go Discharge = Coefficient of Permeability at the temperature*Cross-Sectional Area*(Constant Head Difference/Length)
Length when Coefficient of Permeability at Permeameter Experiment is Considered
Go Length = (Constant Head Difference*Cross-Sectional Area*Coefficient of Permeability at the temperature)/Discharge
Coefficient of Permeability when Specific or Intrinsic Permeability is Considered
Go Coefficient of Permeability at the temperature = Intrinsic Permeability*((Unit Weight of Fluid/1000)/Dynamic Viscosity of the Fluid)
Specific or Intrinsic Permeability when Coefficient of Permeability is Considered
Go Intrinsic Permeability = (Coefficient of Permeability at the temperature*Dynamic Viscosity of the Fluid)/(Unit Weight of Fluid/1000)
Specific or Intrinsic Permeability when Dynamic Viscosity is Considered
Go Intrinsic Permeability = (Coefficient of Permeability at the temperature*Dynamic Viscosity of the Fluid)/(Unit Weight of Fluid/1000)
Dynamic Viscosity when Specific or Intrinsic Permeability is Considered
Go Dynamic Viscosity of the Fluid = Intrinsic Permeability*((Unit Weight of Fluid/1000)/Coefficient of Permeability at the temperature)
Kinematic Viscosity when Specific or Intrinsic Permeability is Considered
Go Kinematic Viscosity = (Intrinsic Permeability*Acceleration due to Gravity)/Coefficient of Permeability
Equation for Specific or Intrinsic Permeability
Go Intrinsic Permeability = Shape Factor*Mean Particle Size of the Porous Medium^2
Kinematic Viscosity and Dynamic Viscosity Relation
Go Kinematic Viscosity = Dynamic Viscosity of the Fluid/Density of Fluid
Unit weight of fluid
Go Unit Weight of Fluid = Density of Fluid*Acceleration due to Gravity
Coefficient of Permeability when Transmissibility is Considered
Go Coefficient of Permeability = Transmissibility/Aquifer Thickness
Equivalent permeability when transmissivity of aquifer is considered
Go Equivalent Permeability = Transmissivity/Aquifer Thickness

Equation for Specific or Intrinsic Permeability Formula

Intrinsic Permeability = Shape Factor*Mean Particle Size of the Porous Medium^2
Ko = C*dm^2

What is Coefficient of Permeability?

The Coefficient of Permeability describes how easily a liquid will move through a soil. It is also commonly referred to as the hydraulic conductivity of a soil. This factor can be affected by the viscosity, or thickness(fluidity) of a liquid and its density. 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. This factor can be affected by the viscosity, or thickness(fluidity) of a liquid and its density.

How to Calculate Equation for Specific or Intrinsic Permeability?

Equation for Specific or Intrinsic Permeability calculator uses Intrinsic Permeability = Shape Factor*Mean Particle Size of the Porous Medium^2 to calculate the Intrinsic Permeability, The Equation for Specific or Intrinsic Permeability denotes the permeability in a porous medium that is 100% saturated with a single-phase fluid. Intrinsic Permeability is denoted by Ko symbol.

How to calculate Equation for Specific or Intrinsic Permeability using this online calculator? To use this online calculator for Equation for Specific or Intrinsic Permeability, enter Shape Factor (C) & Mean Particle Size of the Porous Medium (dm) and hit the calculate button. Here is how the Equation for Specific or Intrinsic Permeability calculation can be explained with given input values -> 0.00072 = 1.8*0.02^2.

FAQ

What is Equation for Specific or Intrinsic Permeability?
The Equation for Specific or Intrinsic Permeability denotes the permeability in a porous medium that is 100% saturated with a single-phase fluid and is represented as Ko = C*dm^2 or Intrinsic Permeability = Shape Factor*Mean Particle Size of the Porous Medium^2. Shape Factor which depends on the porosity, packing, shape of grains and grain-size distribution of the porous medium & Mean Particle Size of the Porous Medium describing the dimensions of solid particles.
How to calculate Equation for Specific or Intrinsic Permeability?
The Equation for Specific or Intrinsic Permeability denotes the permeability in a porous medium that is 100% saturated with a single-phase fluid is calculated using Intrinsic Permeability = Shape Factor*Mean Particle Size of the Porous Medium^2. To calculate Equation for Specific or Intrinsic Permeability, you need Shape Factor (C) & Mean Particle Size of the Porous Medium (dm). With our tool, you need to enter the respective value for Shape Factor & Mean Particle Size of the Porous Medium 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 Intrinsic Permeability?
In this formula, Intrinsic Permeability uses Shape Factor & Mean Particle Size of the Porous Medium. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Intrinsic Permeability = (Coefficient of Permeability at the temperature*Dynamic Viscosity of the Fluid)/(Unit Weight of Fluid/1000)
  • Intrinsic Permeability = (Coefficient of Permeability at the temperature*Dynamic Viscosity of the Fluid)/(Unit Weight of Fluid/1000)
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