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Volume 6 – Geotechnical Manual, Site Investigation and Engineering ...

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Chapter 10 SEEPAGE<br />

Factor of safety against piping = i crit<br />

i<br />

= 3<br />

The above example assumed the permeability of the soil to be isotropic. Generally, the horizontal<br />

(K h ) <strong>and</strong> vertical coefficients of permeability (K v ) of a soil differ, usually the former is greater than<br />

the latter. In such instances, the method of drawing the flownet need to be modified. Use of a<br />

transformed section is an easily applied method which accounts for the different rates of<br />

permeability.<br />

Vertical dimensions are selected in accord with the scale desired for the drawing. Horizontal<br />

dimensions, however, are modified by multiplying all horizontal lengths by the factor √(k v /k h ). The<br />

conventional flownet is then drawn on the transformed section. For flow through the anisotropic<br />

soil, the seepage, q is<br />

q=H w<br />

H w<br />

N f<br />

N d<br />

N f<br />

N d<br />

K v K h (10.1)<br />

= head difference<br />

= number of flow channels<br />

= number of pressure drops<br />

In addition to the flow net <strong>and</strong> weighted-creep methods of estimating the distribution of uplift<br />

pressure are Khosla’s method of independent variables <strong>and</strong> Rao’s relaxation method which can be<br />

used for making computations of uplift at critical points along the base of the structure. Because<br />

these theories are highly mathematical they are not discussed in this text.<br />

10.4 CONTROL OF SEEPAGE<br />

Piping can occur any place in the system, but usaully it occurs where the flow is concentrated e.g.<br />

at the downstream toe of the dam or at any place where seepage water exits. Once seepage forces<br />

are large enough to move particles, piping <strong>and</strong> erosion can start, <strong>and</strong> usually continues until either<br />

all the soils in the vicinity are carried away or the structure collapses. Cohesionless soils, especially<br />

silty soils, are highly susceptible to piping<br />

Uplift <strong>and</strong> seepage problems may be alleviated or controlled by several methods. Among which are:<br />

a) Construction of cut-off wall or trench to completely block the seeping water<br />

b) Installation of an impervious blanket e.g an apron to lengthen the drainage path so that<br />

more of the head is lost <strong>and</strong> thus the hydraulic gradient in the critical region is reduced.<br />

c) Installation of relief wells <strong>and</strong> other kinds of drains can be used to relief high uplift<br />

pressures at the base of hydraulic structures<br />

d) Installation of protective filter, which consists of one or more layers of free-draining<br />

granular materials placed in less pervious foundation or base materials to prevent the<br />

movement of soil particles that are susceptible to piping while at the same allowing the<br />

seepage water ro escape with relatively little head loss. The requirements for a protective<br />

filter are discussed in Item 10.5 below<br />

10.5 PROTECTIVE FILTER REQUIREMENTS<br />

In generaal, the four basic requirements of the protective filter layer for controlling the seepage<br />

problems such as piping <strong>and</strong> uplift pressures are as follows:<br />

March 2009 10-5

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