Porosity Given Relative Density in Porosity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Porosity of Soil = (Maximum Porosity*(1-Minimum Porosity-Relative Density in Soil Mechanics)+Relative Density in Soil Mechanics*Minimum Porosity)/(1-Minimum Porosity+Relative Density in Soil Mechanics*Minimum Porosity-Relative Density in Soil Mechanics*Maximum Porosity)
η = (nmax*(1-nmin-RD)+RD*nmin)/(1-nmin+RD*nmin-RD*nmax)
This formula uses 4 Variables
Variables Used
Porosity of Soil - Porosity of Soill is the ratio of the volume of voids to the volume of soil.
Maximum Porosity - Maximum Porosity is the porosity at the loosest state.
Minimum Porosity - Minimum Porosity is the porosity at densest state.
Relative Density in Soil Mechanics - Relative Density in Soil Mechanics is density of an object in terms of the density of another reference object.
STEP 1: Convert Input(s) to Base Unit
Maximum Porosity: 0.92 --> No Conversion Required
Minimum Porosity: 0.8 --> No Conversion Required
Relative Density in Soil Mechanics: 0.67 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
η = (nmax*(1-nmin-RD)+RD*nmin)/(1-nmin+RD*nmin-RD*nmax) --> (0.92*(1-0.8-0.67)+0.67*0.8)/(1-0.8+0.67*0.8-0.67*0.92)
Evaluating ... ...
η = 0.866220735785953
STEP 3: Convert Result to Output's Unit
0.866220735785953 --> No Conversion Required
FINAL ANSWER
0.866220735785953 0.866221 <-- Porosity of Soil
(Calculation completed in 00.004 seconds)

Credits

Created by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
Ishita Goyal has created this Calculator and 500+ more calculators!
Verified by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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24 Soil Origin and Its Properties Calculators

Porosity Given Relative Density in Porosity
Go Porosity of Soil = (Maximum Porosity*(1-Minimum Porosity-Relative Density in Soil Mechanics)+Relative Density in Soil Mechanics*Minimum Porosity)/(1-Minimum Porosity+Relative Density in Soil Mechanics*Minimum Porosity-Relative Density in Soil Mechanics*Maximum Porosity)
Minimum Porosity given Relative Density in Porosity
Go Minimum Porosity = Maximum Porosity*(1+(Porosity of Soil*Relative Density)-Porosity of Soil-Relative Density)/(Maximum Porosity-Porosity of Soil-Relative Density+(Porosity of Soil*Relative Density))
Maximum Porosity given Relative Density in Porosity
Go Maximum Porosity = Minimum Porosity*(Relative Density-(Porosity of Soil*Relative Density)-Porosity of Soil+1)/(Relative Density-(Porosity of Soil *Relative Density)+Minimum Porosity-1)
Dry Unit Weight of Soil given Relative Density
Go Dry Unit Weight = ((Minimum Unit Weight*Maximum Unit Weight)/(Maximum Unit Weight-Relative Density in Soil Mechanics*(Maximum Unit Weight-Minimum Unit Weight)))
Relative density given porosity
Go Relative Density in Soil Mechanics = ((Maximum Porosity-Porosity of Soil)*(1-Minimum Porosity))/((Maximum Porosity-Minimum Porosity)*(1-Porosity of Soil))
Minimum Unit Weight of Soil given Relative Density
Go Minimum Unit Weight = ((Dry Unit Weight*Maximum Unit Weight*(Relative Density-1))/((Relative Density*Dry Unit Weight)-Maximum Unit Weight))
Maximum Unit Weight of Soil given Relative Density
Go Maximum Unit Weight = ((Minimum Unit Weight*Dry Unit Weight*Relative Density)/(Dry Unit Weight*(Relative Density-1)+Minimum Unit Weight))
Dry Unit Weight of Soil with any Degree of Saturation
Go Dry Unit Weight = ((Unit Weight of Water*Specific Gravity of Soil*Degree of Saturation)/(1+(Water Content of Soil from Pycnometer*Specific Gravity of Soil)))
Natural Void Ratio of Soil given Relative Density
Go Natural Void Ratio = (Maximum Void Ratio*(1-Relative Density in Soil Mechanics)+(Relative Density in Soil Mechanics*Minimum Void Ratio))
Relative Density of Cohesionless Soil given Unit Weight of Soil
Go Relative Density in Soil Mechanics = ((1/Minimum Unit Weight)-(1/Dry Unit Weight))/((1/Minimum Unit Weight)-(1/Maximum Unit Weight))
Degree of Saturation given Dry Unit Weight of Soil
Go Degree of Saturation = ((Dry Unit Weight/Unit Weight of Water)*((1/Specific Gravity of Soil)+Water Content of Soil from Pycnometer))
Relative Density of Cohesionless Soil given Void Ratio
Go Relative Density in Soil Mechanics = ((Maximum Void Ratio-Natural Void Ratio)/(Maximum Void Ratio-Minimum Void Ratio))
Maximum Void Ratio of Soil given Relative Density
Go Maximum Void Ratio = (Natural Void Ratio-(Relative Density*Minimum Void Ratio))/(1-Relative Density)
Minimum Void Ratio of Soil given Relative Density
Go Minimum Void Ratio = (Maximum Void Ratio-((Maximum Void Ratio-Natural Void Ratio)/Relative Density))
Specific Gravity of Soil given Degree of Saturation
Go Specific Gravity of Soil = ((Degree of Saturation*Void Ratio of Soil)/Water Content of Soil from Pycnometer)
Water Content of Soil given Degree of Saturation
Go Water Content of Soil from Pycnometer = ((Degree of Saturation*Void Ratio of Soil)/Specific Gravity of Soil)
Void Ratio of Soil given Degree of Saturation
Go Void Ratio of Soil = ((Water Content of Soil from Pycnometer*Specific Gravity of Soil)/Degree of Saturation)
Degree of Saturation of Soil
Go Degree of Saturation = ((Water Content of Soil from Pycnometer*Specific Gravity of Soil)/Void Ratio of Soil)
Porosity of Soil given Void Ratio
Go Porosity of Soil = (Void Ratio of Soil/(1+Void Ratio of Soil))
Void Ratio of Soil given Porosity
Go Void Ratio of Soil = (Porosity of Soil/(1-Porosity of Soil))
Total Volume of Soil using Porosity
Go Volume of Soil = (Volume of Voids/Porosity of Soil)
Volume of Voids using Porosity
Go Volume of Voids = (Porosity of Soil*Volume of Soil)
Void ratio of soil
Go Void Ratio of Soil = (Volume of Voids/Solid Volume)
Porosity of soil
Go Porosity of Soil = (Volume of Voids/Volume of Soil)

Porosity Given Relative Density in Porosity Formula

Porosity of Soil = (Maximum Porosity*(1-Minimum Porosity-Relative Density in Soil Mechanics)+Relative Density in Soil Mechanics*Minimum Porosity)/(1-Minimum Porosity+Relative Density in Soil Mechanics*Minimum Porosity-Relative Density in Soil Mechanics*Maximum Porosity)
η = (nmax*(1-nmin-RD)+RD*nmin)/(1-nmin+RD*nmin-RD*nmax)

What is Relative Density?

Relative density, or specific gravity, is the ratio of the density (mass of a unit volume) of a substance to the density of a given reference material.

How to Calculate Porosity Given Relative Density in Porosity?

Porosity Given Relative Density in Porosity calculator uses Porosity of Soil = (Maximum Porosity*(1-Minimum Porosity-Relative Density in Soil Mechanics)+Relative Density in Soil Mechanics*Minimum Porosity)/(1-Minimum Porosity+Relative Density in Soil Mechanics*Minimum Porosity-Relative Density in Soil Mechanics*Maximum Porosity) to calculate the Porosity of Soil, Porosity Given Relative Density in Porosity is defined as the measure of the void (i.e. "empty") spaces in a material, and is a fraction of the volume of voids over the total volume, between 0 and 1, or as a percentage between 0% and 100%. Porosity of Soil is denoted by η symbol.

How to calculate Porosity Given Relative Density in Porosity using this online calculator? To use this online calculator for Porosity Given Relative Density in Porosity, enter Maximum Porosity (nmax), Minimum Porosity (nmin) & Relative Density in Soil Mechanics (RD) and hit the calculate button. Here is how the Porosity Given Relative Density in Porosity calculation can be explained with given input values -> 0.866221 = (0.92*(1-0.8-0.67)+0.67*0.8)/(1-0.8+0.67*0.8-0.67*0.92).

FAQ

What is Porosity Given Relative Density in Porosity?
Porosity Given Relative Density in Porosity is defined as the measure of the void (i.e. "empty") spaces in a material, and is a fraction of the volume of voids over the total volume, between 0 and 1, or as a percentage between 0% and 100% and is represented as η = (nmax*(1-nmin-RD)+RD*nmin)/(1-nmin+RD*nmin-RD*nmax) or Porosity of Soil = (Maximum Porosity*(1-Minimum Porosity-Relative Density in Soil Mechanics)+Relative Density in Soil Mechanics*Minimum Porosity)/(1-Minimum Porosity+Relative Density in Soil Mechanics*Minimum Porosity-Relative Density in Soil Mechanics*Maximum Porosity). Maximum Porosity is the porosity at the loosest state, Minimum Porosity is the porosity at densest state & Relative Density in Soil Mechanics is density of an object in terms of the density of another reference object.
How to calculate Porosity Given Relative Density in Porosity?
Porosity Given Relative Density in Porosity is defined as the measure of the void (i.e. "empty") spaces in a material, and is a fraction of the volume of voids over the total volume, between 0 and 1, or as a percentage between 0% and 100% is calculated using Porosity of Soil = (Maximum Porosity*(1-Minimum Porosity-Relative Density in Soil Mechanics)+Relative Density in Soil Mechanics*Minimum Porosity)/(1-Minimum Porosity+Relative Density in Soil Mechanics*Minimum Porosity-Relative Density in Soil Mechanics*Maximum Porosity). To calculate Porosity Given Relative Density in Porosity, you need Maximum Porosity (nmax), Minimum Porosity (nmin) & Relative Density in Soil Mechanics (RD). With our tool, you need to enter the respective value for Maximum Porosity, Minimum Porosity & Relative Density in Soil Mechanics 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 Porosity of Soil?
In this formula, Porosity of Soil uses Maximum Porosity, Minimum Porosity & Relative Density in Soil Mechanics. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Porosity of Soil = (Volume of Voids/Volume of Soil)
  • Porosity of Soil = (Void Ratio of Soil/(1+Void Ratio of Soil))
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