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Soil Moisture and Porosity Calculations using 3-phase Diagram, Exams of Chemistry

Calculations and formulas for determining soil moisture content, porosity, void ratio, degree of saturation, and particle density using the 3-phase diagram. It includes examples with given soil characteristics and instructions for measuring soil moisture and bulk density.

Typology: Exams

2021/2022

Uploaded on 09/12/2022

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Use of the 3-
phase
diagram
RobHarrison:whole soil structure texture
sand
sand
sand
silt
silt
silt
silt
RobHarrison:whole soil structure texture
THE 3-phase
diagram
air
water
solids
Wt
Ws
Ww
Vt
Va
Vw
Vs
Vp
Soil Relationshhips
Vt=Va+Vw+Vs
Wt=Ww+Ws
Ww =VwDw (=Vw*1 g/cc)
Ws=VsDp
air
water
solids
Wt
Ws
Ww
Vt
Va
Vw
Vs
Vp
Definitions
Void ratio = e = Vp/Vs
Porosity = n = Vp/Vt
Water content = m= Ww/Ws
(moisture content)
% moisture = Ww/Wt
% solids = Ws/Wt
Degree of saturation = S = Vw/Vp
Particle density = Dp= Ws/Vs
(specific gravity)
Bulk density = Db= Ws /Vt
Note: all of these are normally expressed as a “%”, i.e., times 100%
Example 1
A soil has the following characteristics:
wet weight = 2500 g
dry weight = 2000 g
void ratio = 100%
particle density = 2.5
wet weight = 2500 g
dry weight = 2000 g
void ratio = 100%
particle density = 2.5 g/cc
air
water
solids
Wt
Ws
Ww
Vt
Va
Vw
Vs
Vp
= 2500g
= 2000g
= 500g
= 500cc
= 2000g/2.5 g/cc
= 800 cc
e = Vp/Vs
= 100%
= 800 cc
= 300 cc
= 1600 cc
Vp = 800 cc
pf3
pf4

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Use of the 3-

phase

diagram

RobHarrison:whole soil structure texture

sand

sand

silt sand

silt silt silt

RobHarrison:whole soil structure texture

THE 3-phase

diagram

air water

solids

Wt Ws

Vt Ww

Va Vw Vs

Vp

Soil Relationshhips

• Vt=Va+Vw+Vs

• Wt=Ww+Ws

• Ww =VwDw (=Vw*1 g/cc)

• Ws=VsDp

air

water

solids

Wt

Ws

Vt Ww

Va

Vw

Vs

Vp

Definitions

Void ratio = e = Vp/Vs Porosity = n = Vp/Vt Water content = (^) m = Ww/Ws (moisture content) % moisture = Ww/Wt % solids = Ws/Wt Degree of saturation = S = Vw/Vp Particle density = Dp = Ws/Vs (specific gravity) Bulk density = Db = Ws /Vt

Note: all of these are normally expressed as a “%”, i.e., times 100%

Example 1

A soil has the following characteristics:

  • wet weight = 2500 g
  • dry weight = 2000 g
  • void ratio = 100%
  • particle density = 2.

wet weight = 2500 g dry weight = 2000 g void ratio = 100% particle density = 2.5 g/cc

air

water

solids

Wt

Ws

Ww Vt

Va

Vw

Vs

Vp

= 2500g

= 2000g

= 500g = 500cc

= 2000g/2.5 g/cc = 800 cc

e = Vp/Vs = 100%

= 800 cc

= 300 cc

= 1600 cc

Vp = 800 cc

Find

Water content = (^) m = Ww/Ws*100% (moisture content)

air

water

solids

Wt

Ws

Vt Ww

Va

Vw

Vs

Vp

2000g

500cc 500g

800 cc

800 cc

300 cc

1600 cc (^) 2500g

= 500 g/2000 g * 100% = 25%

Find

% moisture = Ww/Wt

air

water

solids

Wt

Ws

Vt Ww

Va

Vw

Vs

Vp

2000g

500cc 500g

800 cc

800 cc

300 cc

1600 cc (^) 2500g

= 500 g/2500 g * 100% = 20%

Find

% solids = Ww/Wt

air

water

solids

Wt

Ws

Vt Ww

Va

Vw

Vs

Vp

2000g

500cc 500g

800 cc

800 cc

300 cc

1600 cc (^) 2500g

= 2000 g/2500 g * 100% = 80%

MOISTURE RELATIONSHIPS

Water (moisture) content = 25% % moisture = 20% % solids = 80% Therefore: % moisture = 100% - % solids

Example 2

A soil has the following characteristics:

• Dry weight = 2000 g

• Moisture content= 50%

• Volume = 2000 cc

• Particle density = 2.65 g/cc

  • Dry weight = 2000 g
  • Moist. content = 50%
  • Volume = 2000 cc
  • Particle density = 2.65 g/cc

air

water

solids

Wt

Ws

Ww Vt

Va

Vw

Vs

Vp

= 3000g

= 2000g

= 1000g = 1000cc

= 2000g/2.65 g/cc = 755 cc

m = Ww/Ws 50% = Ww /2000g

= 1245 cc

= 245 cc

= 2000 cc

Ww = 1000 cc

Alternate for measuring pore space

Vp = Vt - Vs

Dp = Ws/(Vs)

Known volume

Oven dry sample determine dry weight

Vs

= Vt