Page 101 - Analysis and Design of Energy Geostructures

material as water particles water saturation

terms the of the of the of gravity of considered the solid the solid the solid the water terms air the water

involved weight volume mass acceleration often of weight of of the of of volume the of involved ratio of volume of

of total the total total m/s 2 , m/s 2 ) the weight the volume mass the the mass the of void the degree
Meaning is W material the is V material the is M the is g (9.81 10 is W w is W s particles the is V s particles is M s is V w is M w Meaning the is e is V a the is S r

γ s 1 eγ w 1 1 e

5
w n γ s γ w S r 1 γ d
5 n 1 2 n 5 nγ w eρ w ρ s 1 1 1 e
1 1 e
formulation formulation γ s 1 1 e ρ s 1 1 e γ d 5 γ s 2 1 5 γ s w n w n γ d 5 γ w e γ w n 1 2 nÞγ s 5 1 2 nÞρ s
e

5
volumes. Mathematical V γ g W w W s W s V s γ s M s g V s W w V w γ w M w g V w Mathematical γ W s 1 1 w n V ρ M s 1 1 w n V V a 1 V w 5 1 2 V γ s V a 1 V w 5 γ d V s V w V w V a 1 1 ð 5 nγ w 1 ð 5 nρ w 2 γ w

and W 5 γ M ρ 5 V 5 w n 5 γ s 5 ρ s 5 γ w 5 ρ w 5 γ d 5 ρ d n 5 e 5 5 S r γ sat ρ sat 0 5 γ sat γ
masses

phases, measure measure

relating Unit N/m 3 g/m 3 % N/m 3 g/m 3 N/m 3 g/m 3 Unit N/m 3 g/m 3 % N/m 3 g/m 3 N/m 3

parameters weight (or γ ρ s particles, γ w water, ρ w γ d S r γ sat weight, ρ sat 0 γ

Typical variable weight volume), ρ w n content, solid of γ s solid of water, variable weight, ρ d e saturation, unit density, weight, unit

3.1 Fundamental bulk unit density, weight particles, of weight of unit density, n ratio, of
Table Unit per Bulk Water Unit Density Unit Density Derived Dry Dry Porosity, Void Degree Saturated Saturated Buoyant