Introduction to liquefaction
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Introduction to liquefaction
The void ratio at which sand does not change in volume when subjected
to shear is referred to as critical void ratio.
The critical void ratio is not a constant value, but changes with confining
pressure.
Introduction to liquefaction
The critical void ratio concept cannot be used as a unique criterion for a
quantitative evaluation of the liquefaction potential.
The liquefaction potential depends on:
1. Relative density;
2. Confining pressure;
3. Peak pulsating stress;
4. Number of cycles of pulsating application;
5. Overconsolidation ratio;
6. Compositional characteristics (particle shape, size and gradation);
7. Depth of GWT.
Introduction to liquefaction
Well-graded soils are less susceptible to liquefaction than poorly graded
soils.
Soils with rounded particle shapes are more susceptible to liquefaction
than angular-grained soils.
Simplified procedure for the evaluation of initiation of liquefaction (i.e.
cyclic stress approach):
The earthquake induced loading, expressed in terms of cyclic shear
stress (CSR), is compared with the liquefaction resistance of the soil,
also expressed in terms of cyclic shear stress (CRR).
At locations where the loading exceeds the resistance liquefaction is
expected to occur, i.e.:
The cyclic shear stress (CSR) is a function of the maximum shear stress
tmax induced by the earthquake at the specific depth. This can be
predicted by a detailed ground response analysis or by the use of a
simplified approach.
Introduction to liquefaction
1 L
CRRF
CSR
The uniform cyclic shear stress amplitude induced by an earthquake can
be estimated using the simplified procedure proposed by Seed and
Idriss (1971):
where the stress reduction factor rd is given, for depths smaller than
20m, by (Idriss and Boulanger, 2004):
The equivalent number of uniform stress cycles increases with
increasing earthquake magnitude.
Introduction to liquefaction
max max
0 0 0
0.65 0.65t t
cyc vd
v v v
aCSR r
g
exp 1.012 1.126sin 5.133 0.106 0.118sin 5.14211.73 11.28
d
z zr M
Introduction to liquefaction
Pastor-Zienkiewicz Mark III model (1990)
Effective stress-based response analysis approach:
when incorporated into non-linear ground response analyses advanced
cyclic non-linear models allow computation of the generation,
redistribution and dissipation of pore pressures. The effective stress
conditions throughout the soil deposit can be monitored during and after
the earthquake to evaluate liquefaction hazards.