A very soft clay layer is highly compressible and exhibits significant creep under loading. The classical linearly elastic constitutive relationship and small-strain assumption are not suitable for the consolidation analysis of very soft clays. This paper presents a new large-strain consolidation model that incorporates the Yin-Graham elastic viscoplastic (EVP) constitutive equation for use in studying the consolidation of very soft clay layers with vertical drains under preloading. First, the large-strain fluid continuity equation and the EVP constitutive equation are incorporated into a quadratic differential equation of pore-water pressure and its integral terms. Second, the alternating-direction implicit (ADI) method and virtual node method are adopted to obtain the finite difference solution. A computer program named 'BSSDS' is developed for large-strain EVP consolidation analysis of clay layers with vertical drains, taking into account the complicated in situ conditions, such as resistance of vertical drains, smear effects, variation of permeability with void ratio, and multilayered soils. Third, the new large-strain numerical method is applied to the consolidation modeling of very soft clay layers with vertical drains under preloading at a site that is part of the Hong Kong-Shenzhen Western Corridor Link Project. It is found that the foundation settlements of the new large-strain EVP consolidation model have good agreement with the measured data. Finally, three different consolidation models are used to calculate the average degree of consolidation and settlements of the clay layers. The analysis shows that it is essential to consider both large-strain compression and creep effects in the analysis of very soft clay layers with vertical drains under loading. Key words: soft clay, consolidation, elastic viscoplastic model, large strain, vertical drain. Une couche d'argile tres molle est consideree comme tres compressible et presente du fluage significatif lors de sollicitations. La relation lineaire elastique constitutive classique et l'hypothese des faibles deformations ne sont pas appropriees lors de l'analyse de consolidation d'argiles tres molles. Cet article presente un nouveau modele de consolidation a grande deformation qui integre l'equation constitutive elastique viscoplastique (EVP) de Yin-Graham pour l'etude de la consolidation dans des couches d'argile tres molle avec des drains verticaux, soumises a des pre-charges. Premierement, l'equation de continuite des fluides a grande deformation et l'equation constitutive EVP sont integrees dans une equation differentielle quadratique decrivant la pression interstitielle et ses termes integraux. Deuxiemement, la methode implicite de direction alternative (IDA) et la methode du noeud virtuel sont adoptees pour obtenir la solution de la difference finie. Un programme informatique appele BSSDS a est developpe pour l'analyse de consolidation EVP a grande deformation de couches d'argile ayant des drains verticaux, en considerant les conditions in situ complexes, telles que la resistance des drains verticaux, les effets de souillures, la variation de la permeabilite selon l'indice des vides, ainsi que les sols multicouches. Troisiemement, la nouvelle methode numerique a grande deformation est appliquee pour la modelisation de la consolidation de couches d'argile tres molle avec des drains verticaux et soumis a des pre-charges sur un site qui fait partie du projet de Corridor Ouest Hong Kong-Shenzhen. Il est demontre que les tassements de la fondation selon le nouveau modele de consolidation EVP a grande deformation correspondent bien avec les donnees mesurees. Enfin, trois modeles de consolidation differents sont utilises pour calculer le degre de consolidation moyen et les tassements des couches d'argile. L'analyse montre qu'il est essentiel de considerer la compression a grande deformation et les effets de fluage lors de l'analyse de couches d'argile tres molle ayant des drains verticaux et soumises a des solicitations. [Traduit par la Redaction] Mots-cles: argile molle, consolidation, modele elastique viscoplastique, grande deformation, drain vertical., Introduction With rapid economic growth, the demand for infrastructure construction over reclaimed lands and soft marine clays has continuously increased in the coastal areas of many countries and regions. In [...]