Landslides and Engineered Slopes – Chen et al. (eds)
© 2008Taylor & Francis Group, London, ISBN 978-0-415-41196-7
Numerical modelling of the thermo-mechanical behaviour of soils
in catastrophic landslides
F. Cecinato & A. Zervos
School of Civil Engineering & Environment, University of Southampton, UK
E. Veveakis & I. Vardoulakis
Faculty of Applied Science, National Technical University of Athens, Greece
ABSTRACT: A new landslide model is proposed by improving on an existing one, which is able to interpret
using a simple 1-D mechanism the post-failure sliding regime of catastrophic landslides and rockslides consisting
of a coherent mass sliding on a thin clayey layer. The model takes into account frictional heating and subsequent
pore pressure build-up, leading to the vanishing of shear resistance and unconstrained acceleration. First, an
existing thermo-elasto-plastic constitutive model for clays is discussed, and modified by re-formulating it in a
general stress space and taking into account thermal softening. The soil constitutive model is then employed into
an existing landslide model. The resulting model equations are shown to be well-posed, and then are discretised
and integrated numerically to back-analyse the final stage of the well-documented case history of Vajont that
occurred in Italy in 1963. Finally, the results are used to highlight the possible importance of thermal softening
in the development of catastrophic failure.
1 INTRODUCTION
The Vajont landslide of October 9, 1963, has been
the subject of numerous geological and geomechani-
cal investigations, due both to its potential contribution
to slope stability analysis and to the social and legal
implications of the disaster. The landslide moved
approximately 2.7 × 10
8
m
3
of rock into an artificial
reservoir of about 1.5×10
8
m
3
, impounding the Vajont
deep gorge. The slide moved an 120 m thick (on aver-
age) compact rock mass over a front of 1850 m for
a maximum slip of 450–500 m (Hendron and Patton,
1985) and at a final slip rate of about 25–30 m/s. The
abrupt filling of the reservoir with debris produced
a giant wave (4.8 × 10
7
m
3
) that propagated up and
down the valley, overflowing the dam and wiping out
the village of Longarone, located 2 km west.
Habib (1975) proposed that the high slip veloc-
ity achieved by the Vajont landslide was due to the
conversion of mechanical energy into heat during
frictional sliding, which should lead to the ‘‘vapor-
ization’’ of pore water and hence to a cushion of
zero friction. Temperature increase in the slipping
zone may also have led to pressurization of pore
water with the same effect on the shear strength of
the slope (Anderson, 1980; Voight and Faust, 1982;
Vardoulakis, 2000, 2002). Total loss of strength by
thermal pressurization has also been claimed for the
Jiufengershan rock and soil avalanche triggered by
the Chi-Chi (Taiwan) 1999 earthquake (Chang et al.,
2005a, 2005b).
Vardoulakis (2000, 2002) analyzed the pressuriza-
tion phase of the Vajont slide, when thermal pres-
surization sets in, during which the slide accelerates
rapidly. He proposed a one-degree-of-freedom, fric-
tional pendulum model, employing a Mohr-Coulomb
constitutive model for the soil and assuming that
frictional heating triggered pore water pressurization
inside a shear band of the order of 1 mm. This analysis
showed that the catastrophic pressurization phase of
the Vajont slide should not have taken more than a few
seconds to develop in full.
In this paper we extend the above study by
using a more general thermo-elasto-plastic constitu-
tive model, based on the one recently proposed by
Laloui et al. (2005). Furthermore we investigate the
impact of thermal softening, which some clays exhibit,
in the development of the catastrophic mechanism.
In the following, we present in section 2 the land-
slide model developed by Vardoulakis (2000, 2002),
and in section 3 the new thermo-elasto-plastic consti-
tutive model. Section 4 deals with the modification
of the landslide model to include this new constitutive
law. Finally, in section 5 some computational results
are presented and discussed and conclusions are drawn
in section 6.
615