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Principles of Effective stress, capillarity
and seepage through soil
Dr. Amit Srivastava, PhD, M.ASCE, LMIGS, LMISRMTT, MITS,
MISSMGE, AMIE
[B.E. University of Roorkee (now IIT Roorkee),
M.E. & Ph.D, IISc, Bangalore]
Assistant Professor (Senior Grade), Department of Civil Engineering
Jaypee University of Engineering & Technology,
Agra-Bombay Road, Raghogarh, District: Guna
Madhya Pradesh - 473 226, India
Mob.No. (+91)94797729, Home: 07544267030
2
Effective stress for saturated soils
Effective stress for saturated soils
3
Effective stress for saturated soils
Total Stresses
It is the stress acting at a point in a soil mass with a
horizontal top surface. The total stress is computed
as the total weight of a column of unit area above
the point.
Total Stresses
The pore or neutral stress (uw) is the stress within the
water voids. Since this stress is hydrostatic, it acts
equally in all directions. Under no flow conditions
(static),
Effective stress for saturated soils
Effective stress for unsaturated soils
6
Effective stress for unsaturated soils
7
Example
8
Example
9
Capillarity in soils
10
Water movement by capillary action
11
Capillarity in soils
12
Capillarity in soils
Approximate relationship suggested by Terzaghi
and Peck (1967) is of the form
13
Where. e is the void ratio, D10 is the effective grain size in cm
and C is an empirical constant which have a value in the
range of 0.1 – 0.5 cm2
It is important to note that two different soil mass with the same
D10 can have different pore size distribution depending on soil
structure, fabric, geological history etc., leading to variable
capillary rise.
Example
14
Example
15
Permeability of soil
16
Permeability of soil
17
Permeability of soil
18
Permeability of soil
19
Permeability of soil
20
Permeability of soil
21
Permeability of soil
22
Permeability of soil
23
Permeability of soil
24
Permeability of soil
25
Permeability of soil
26
Permeability of soil
27
Permeability of soil
28
29
One Dimensional Seepage –
stresses due to flow
30
Seepage through soils –
2D seepage
35
Seepage through soils
36
Seepage through soils
37
Seepage through soils
38
Seepage through soils
39
40
Flownet -Drawing Method:
1. Draw to a convenient scale the cross
sections of the structure, water elevations,
and aquifer profiles.
2. Establish boundary conditions and draw one
or two flow lines Ψ and equipotential lines Φ
near the boundaries.
41
Method:
3. Sketch intermediate flow lines and equipotential
lines by smooth curves adhering to right-angle
intersections and square grids. Where flow
direction is a straight line, flow lines are an equal
distance apart and parallel.
4. Continue sketching until a problem develops. Each
problem will indicate changes to be made in the
entire net. Successive trials will result in a
reasonably consistent flow net.
42
Method:
5. In most cases, 5 to 10 flow lines are usually
sufficient. Depending on the number of flow
lines selected, the number of equipotential
lines will automatically be fixed by geometry
and grid layout.
6. Equivalent to solving the governing
equations of GW flow in 2-dimensions.
Seepage through soils
43
Seepage through soils
44
Flow net – unconfined flow
45
Flow net – unconfined flow
46
Flow net – unconfined flow
47
Flow net – unconfined flow
48
Flow net – unconfined flow
49
Examples
50
Seepage in Anisotropic soil conditions
62
Seepage in Anisotropic soil
63
Seepage in Anisotropic soil
64
Seepage in Anisotropic soil
65
Seepage in Anisotropic soil
66
Flow through Non-Homogeneous soil
67
68
Piping in Granular Soils
Thank you
78

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