 
          1203
        
        
          A simplified model for collapse using suction controlled tests
        
        
          Un modèle simplifié d’effondrement, basée sur des essais de succion controlée
        
        
          Vázquez M., Justo J.L., Durand P.
        
        
          University of Seville, Seville, Spain
        
        
          ABSTRACT: Alonso et al. (1990) have presented the most comprehensive theory for partly saturated soils. Their constitutive
        
        
          equations present very complex formulations that rely on a large number of parameters, which are difficult to achieve unless advanced
        
        
          laboratory tests are performed. This paper presents a simple model for predicting the oedometric collapse of soils compacted with low
        
        
          density. The model has a minimum complexity, only needs two parameters, and establishes a linear relationship between log suction
        
        
          and volume change for different vertical pressures, until the moment when suction reaches the field capacity; then volume change
        
        
          remains at a constant value. This linear relationship is controlled by the Instability Index,
        
        
          
            Ipt
          
        
        
          . Suction controlled oedometer test have
        
        
          been carried out, and the results agree with sufficient degree of accuracy with the proposed model.
        
        
          RÉSUMÉ : Alonso et al. (1990) on présenté la théorie la plus avancée pour des sols partiellement saturés. Les équations constitutives
        
        
          présentent des formulations très complexes qui dépendent d’un grand nombre de paramètres, qui sont difficiles à évaluer sans des
        
        
          essais de laboratoire très avancés. Cet article présente un modèle simple pour prédire l’effondrement oedométrique du sol compacté
        
        
          avec une faible densité. Le modèle a une complexité minimale, nécessite seulement deux paramètres, et établit une relation linéaire,
        
        
          entre le logarithme de la succion et  le changement de volume pour différentes pressions verticales, jusqu’au moment où la succion
        
        
          atteint la capacité de champ ; à partir de ce moment le changement de volume resteconstante. La relation linéaire est contrôlée par
        
        
          l’Indice d’Instabilité,
        
        
          
            Ipt
          
        
        
          .   Les essais oedométriques avec succion contrôlée ont été réalisés, et les résultats sont en accord avec le
        
        
          modèle proposé.
        
        
          KEYWORDS: unsaturated soil, model, collapse, suction, oedometer.
        
        
          1 INTRODUCTION.
        
        
          Expansive and collapsing soils have, generally, the common
        
        
          condition of being partly saturated.
        
        
          In partially saturated soils with an open structure, the
        
        
          increase in the degree of saturation resulting from
        
        
          environmental or manmade changes can produce irrecoverable
        
        
          volume reductions without any change in the external forces.
        
        
          This phenomenon receives the name of collapse.
        
        
          The first technical description of the collapse phenomenon
        
        
          may be the one made by Terzaghi and Peck (1948) when they
        
        
          describe the loss of strength and increase in compressibility of
        
        
          loess upon saturation. The word
        
        
          
            collapse
          
        
        
          to designate this
        
        
          phenomenon was already used by Jennings and Burland (1962).
        
        
          In general terms, a soil will swell or collapse after being
        
        
          flooded, depending upon whether the external pressure is
        
        
          smaller or larger than the swelling pressure. That is the reason
        
        
          why significant collapse may occur in a wide variety of open-
        
        
          structure soils ranging from well-graded sand, gravel and
        
        
          rockfill to plastic clay under high pressure, as long as the degree
        
        
          of saturation is low enough (Justo and Saetersdal 1979). In these
        
        
          soils and under these conditions, collapse is produced as suction
        
        
          decreases. As the external pressure increases, collapse increases
        
        
          up to a maximum; then the particles are so tight that any further
        
        
          decrease in suction produces volume expansion (Booth 1975,
        
        
          Yudhbir 1982, Maswoswe 1985).
        
        
          During the wetting process in suction-controlled oedometric
        
        
          tests, sometimes swelling has been followed by collapse
        
        
          reached at very low suction values (Escario and Sáez 1973, Cox
        
        
          1978, Alonso et al. 1987).
        
        
          Oedometric cells similar to the ones described by Escario
        
        
          (1969), and Escario and Sáez (1973) have been used to
        
        
          investigate swelling, shrinkage and collapse under constant
        
        
          vertical net stress, as well as the loading and unloading
        
        
          behaviour under a constant matrix suction (Balmaceda 1991;
        
        
          Yuk Gehling 1994; Vilar 1995 and Romero 1999).
        
        
          In the deformational behaviour of partly saturated soils, the
        
        
          soil is sometimes considered elastic and isotropic. Fredlund and
        
        
          Morgenstern (1976), and Justo et al. (1984 a and b) use different
        
        
          elastic moduli with respect to the external stresses and suction.
        
        
          Justo and Saettersdal (1979) present an analysis of expansive
        
        
          and collapsing soils and a revision of calculation methods,
        
        
          including the elastic methods.
        
        
          Alonso et al. (1987) analyse the volumetric deformations of
        
        
          these soils in the space of net stress and suction. Other authors
        
        
          have continued in this line, generating models that agree with a
        
        
          good approximation to the behaviour of partly saturated, non
        
        
          expansive soils (Josa et al. 1992, Cui et al. 1995, Wheeler and
        
        
          Sivakumar 1995, Habibagahi and Mokhberi 1998, Sheng et al.
        
        
          2004).
        
        
          The lattest tendencies in the study of partly saturated soils
        
        
          are addressed to coupling in the same model the expansive and
        
        
          collapsing behaviour of soils (v. Justo and Saetersdal 1979),
        
        
          generating the so called consistent models  (Li and Fang 2011).
        
        
          Along this line, it is proposed in this paper a model for open
        
        
          structure collapsing soils based upon two parameters obtained
        
        
          from the relationship between the volumetric deformation
        
        
          (under oedometric conditions), the suction and the vertical
        
        
          pressure.
        
        
          From the results obtained, it will be observed that the model
        
        
          describes, with sufficient precission, the behaviour of a
        
        
          collapsing mixture of clay, when subject to oedometric
        
        
          conditions, and to a wetting stress path under constant vertical
        
        
          stress.