C/S OF
DIFFERENT DAM
LAPLACE
EQUATION
DESIGN OF HYDRAULIC
STRUCTURE1/15/2014
PHREATIC LINE
1/15/2014

1
Case-1 : Gravel or coarse sand is available
along with clayey silt :
(a) Foundations impervious to a large
depth :

1/15/2014

2
b) Foundation pervious to a moderate
depth, after which impervious strata is
available :

1/15/2014

3
(c) Foundation pervious to a great depth
:

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4
CASE 2 ONLY FINE GRAVEL OR COARSE
SAND IS AVAILABLE
PROVIDE DIAPHRAM TYPE DAM WITH
SUITABLE ARRANGEMENTS

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5
• CASE 3
• ONLY SILT AND CLAY IS
AVAILABLE
• NO CORE
• ONLY IMPERVIOUS BLANKED
AND ROCK TOE PROVIDES
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6
SEEPAGE ANALYSIS
ASSUMPTIONS
FLOW IS – TWO DIMENTIONAL
Soil is INCOMPRESSIBLE SOIL
Soil is homogeneous and isotropic
Soil is fully saturated
Flow is steady
Darcys law is valid
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7
VZ + difference in VZ
dx

dz

Vx + difference in vx

VZ
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8
Phreatic line – (seepage line)
Line within the dam section
having positive hydrostatic
pressure at below section
and negative hydrostatic
pressure at above section
Line has atmospheric
pressure itself
Separation line of saturated
and non saturated portion
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9
Casagrande method of
determining seepage line
 locate start point of base
parabola at 0.3 L from
starting point
 locate focus F at starting of
drainge filter
C as a center and CF as
radious
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10
 cut the d/s slope and draw
vertical line through it which
will cut in filter as H
S is distance between FH
Mid of this FH is exit of
parabola.
Use base parabola equation
for determine another
points.
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11
Charactristics of phreatic
line
u/s slope at 90, less than 90
and greater 90
Runs at atmo. Pre.
In rock toe it emerges
vertically
Pervious foundation does
not influence
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12

Embankment lecture 4

  • 1.
    C/S OF DIFFERENT DAM LAPLACE EQUATION DESIGNOF HYDRAULIC STRUCTURE1/15/2014 PHREATIC LINE 1/15/2014 1
  • 2.
    Case-1 : Gravelor coarse sand is available along with clayey silt : (a) Foundations impervious to a large depth : 1/15/2014 2
  • 3.
    b) Foundation perviousto a moderate depth, after which impervious strata is available : 1/15/2014 3
  • 4.
    (c) Foundation perviousto a great depth : 1/15/2014 4
  • 5.
    CASE 2 ONLYFINE GRAVEL OR COARSE SAND IS AVAILABLE PROVIDE DIAPHRAM TYPE DAM WITH SUITABLE ARRANGEMENTS 1/15/2014 5
  • 6.
    • CASE 3 •ONLY SILT AND CLAY IS AVAILABLE • NO CORE • ONLY IMPERVIOUS BLANKED AND ROCK TOE PROVIDES 1/15/2014 6
  • 7.
    SEEPAGE ANALYSIS ASSUMPTIONS FLOW IS– TWO DIMENTIONAL Soil is INCOMPRESSIBLE SOIL Soil is homogeneous and isotropic Soil is fully saturated Flow is steady Darcys law is valid 1/15/2014 7
  • 8.
    VZ + differencein VZ dx dz Vx + difference in vx VZ 1/15/2014 8
  • 9.
    Phreatic line –(seepage line) Line within the dam section having positive hydrostatic pressure at below section and negative hydrostatic pressure at above section Line has atmospheric pressure itself Separation line of saturated and non saturated portion 1/15/2014 9
  • 10.
    Casagrande method of determiningseepage line  locate start point of base parabola at 0.3 L from starting point  locate focus F at starting of drainge filter C as a center and CF as radious 1/15/2014 10
  • 11.
     cut thed/s slope and draw vertical line through it which will cut in filter as H S is distance between FH Mid of this FH is exit of parabola. Use base parabola equation for determine another points. 1/15/2014 11
  • 12.
    Charactristics of phreatic line u/sslope at 90, less than 90 and greater 90 Runs at atmo. Pre. In rock toe it emerges vertically Pervious foundation does not influence 1/15/2014 12