Basic soil properties and parameters can be subdivided into physical, index, and engineering categories. One of the youngest disciplines of civil engineering, soil mechanics involving the study of soil, its behavior and application as an engineering material. In soil there are three kinds of common composition, namely the solid, liquid and gas.
Terzaghi (1948) once said, “Soil Mechanics is the application of laws of mechanics and hydraulics to engineering problems dealing with sediments and other unconsolidated accumulations of solid particles produced by the mechanical and chemical disintegration of rocks regardless of whether or not they contain an admixture of organic constituent.”
The Three Phases of Soil
Three Typical Phase Diagrams of Soil
Referring to figure above, soil is generally three phases material which contains solids (soil particles), water (in liquid state) and air (in gas state). Within the soil, it contains solid particles and voids, and whereby the voids contains water and/or air. Phase diagram that contains all three state called partially saturated (unsaturated soil), while diagram with solids and water named fully saturated (wet soil condition) and lastly dry soil with soil solids with lots of voids.
In general, the soil physical properties include mass density, particle sizes, specific gravity, and water content. Within this physical properties, these are the important terms used in soil mechanics (as below):
- Water content of a soil sample represents the weight of free water contained in the sample expressed as a percentage of its dry weight.
- Degree of saturation of the soil sample is the ratio, often expressed as percentage, of the volume of free water contained in the sample to its total volume of voids and has an important influence on soil behavior.
- Void ratio to the volume occupied by the soil particles defines the void ratio, in other words the volume of voids in a mixture divided by the volume of solids.
- Porosity which is a measure of the relative amount of openings, voids (air or gases), is the ratio of void volume to the total volume of soil and it represents the storage capacity of the geologic material.
- Specific gravity of a substance is a comparison of its density to that of water.
The Phases Relationship in Soil
Phase Relation of Soil: Weight and Volume
For defining purposes of the soil physical and index properties, it is more convenient to represent the soil components (in physical forms) by projecting it into a block or phase diagram (as figure above). In soil mechanics, the unit weight of soil varies in which depending on the amount of water contained in the soil. This is often known as the relationship of weights (W) and volumes (V) in soil.
Formula of Soil Physical Properties
Notes and Legends:
- Specific gravity, Gs = 2.67 +/- 0.05 for inorganic soils.
- Unit weight of water = 62.4 lb/ft3 or 1001 kg/m3 for freshwater and 64.0 lb/ft3 or 1026.7 kg/m3 for seawater.

- Wtotal, Wt = Total weight of soil mass
- Wsolids, Ws = Dry weight of soil mass
- Wwater, Ww = Weight of water in soil mass
- Vtotal, Vt = Total volume of soil
- Vsolids, Vs = Volume of solids in soil mass
- Vvoids, Vs = Volume of voids in soil mass
- Vwater, Vw = Volume of water in soil mass
The Phases Relationship in Terms of Formulation
Phase Relation of Soil: Weight and Volume Formulas
The phase relations in soil materials, between weight and volume can be further derived and then produces the above formulas.
Further Formulation of The Phases Relationship in Soil
Formula of Moist Unit Weight
Formula of Dry Unit Weight
Formula of Saturated Unit Weight
The series of soil weight-volume relationship formulated in three categories; moisture, dry and saturated. Hmm, life could be easier after this…for soil mechanics…
In conclusions, these are the basic fundamentals in terms of relationship in soil as engineering materials which acquired through soil mechanics subject.
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{ 7 comments… read them below or add one }
Great article Terrence, many engineers struggle with this concept as I remember when studying for the P.E., in my review class, there were tons of questions on these equaitions. Thanks for clarifying!
Anthony
Hi Anthony,
Firstly thank you so much for your visit, especially from a true professional. I have been doing some ‘homework’ regarding this topic, with 5-6 different reference for further clarification and it is not easy. I’m also in need to make myself easy especially soil related subject, right from the early stage. Thank you again Sir and hope it would be useful for engineering personal…
thank you to make this very important notes available especially to those interested in soil mechanics
Glad that you appreciate our work. Hope to expand this topic in the future…
i really thank you for helping us as i am a student of civil engineering,i was doing my research based on this topic as a “course work” and really gain more knowledge from this site.i wish this will help all the civil engineering student in there life and Sir i wish you will expand it for us in order to further our research and put more knowledge on the top this.
this article just saved my day….am supposed to present a work on phase relationship tomorrow and i was struggling to get this formulas by myself…..big thanks
I have a test on Saturday and i believe this will help me very much. Thanks Civil Guy