ISSMGE International Journal of Geoengineering Case Histories ©, Vol. 5, Issue 3, p. 138
Application of Hybrid Drained-Undrained Model for Analyzing the
Stability of Reinforced Soil Structures Over Soft Foundations
with Prefabricated Vertical Drains
David Espinoza, Senior Principal, Geosyntec Consultants, Columbia, Maryland, USA; email:
despinoza@geosyntec.com
Chunling Li, Senior Engineer, Soil and Land Use Technology, Inc., Glen Burnie, Maryland, USA; email:
cli@salutinc.com
Lucas, de Melo, Senior Principal, Geosyntec Consultants, Columbia, Maryland, USA; email:
ldemelo@geosyntec.com
Ranjiv Gupta, Senior Engineer, Freeport-McMoRan, Phoenix, Arizona, USA; email: rgupta2@fmi.com
ABSTRACT: Prefabricated Vertical Drains (PVDs) are typically used for embankment construction over saturated soft
cohesive soil deposits to accelerate consolidation and reduce construction time in the field. PVDs accelerate consolidation
of thick soil deposits by reducing the drainage path from tens of meters to 1-2 meters depending on PVD spacing in the field.
Current design methodologies typically consider the increase of shear strength due to accelerated consolidation, but still use
undrained shear strength for the entire cohesive soil layer even after PVD’s are installed. However, for cases in which PVDs
are closely spaced, which allows excess pore water pressure to dissipate relatively fast, the assumption of undrained
conditions for design may be overly conservative and, in some cases, this assumption may render an embankment construction
unfeasible, unless additional ground improvement techniques are used to significantly enhance the foundation strength. This
paper presents a Hybrid Drained-Undrained (HDU) model for construction of embankments over soft soils that accounts for
the improved soil drainage conditions after installation of PVDs in the assessment of the shear strength used for design. A
field case study is presented where the HDU methodology was used for the design of a 2.4-km long MSE berm constructed
over a PVD-improved soft soil site, allowing for significant cost savings. The HDU approach was implemented using limit
equilibrium models during the design stages to analyze the global stability of the MSE berm at different stages. Finite element
models calibrated using field monitoring data collected during construction showed factors of safety comparable with that
calculated using the HDU approach, which further supports the suitability of the HDU approach for PVD design.
KEYWORDS: Hybrid Drained-Undrained model, slope stability, prefabricated vertical drain, limit equilibrium, shear
strength
SITE LOCATION: Geo-Database
INTRODUCTION
Prefabricated vertical drains (PVDs) can be used to accelerate consolidation of thick deposits of poorly draining materials.
PVDs are installed relatively close to each other to reduce the drainage distance from tens of meters to 1 to 2 meters, thus
reducing the consolidation time by orders of magnitude. Because PVDs provide conduits for the excess pore pressure to
dissipate, their installation improves the drainage characteristics of the low permeability material increasing the consolidation
speed during loading (Atkinson and Eldred 1981; Hansbo 1981; Holtz 1987; Holtz et al. 1991). As a result, the undrained
shear strength of low permeability soils increases at a faster rate (i.e., higher undrained shear strengths are achieved sooner)
due to the accelerated consolidation. In general, standard analysis of low-permeability soils with PVDs only considers its
ability to speed up the consolidation process and the associated undrained shear strength increase, and neglects the
significantly lower excess pore water pressure generation potential near the installed PVDs.
Submitted: 03 October 2018; Published: 01 April 2020
Reference: Espinoza, D., Li, C., de Melo, L. and Gupta, R. (2020). Application of Hybrid Drained-Undrained Model
for Analyzing the Stability of Reinforced Soil Structures Over Soft Foundations with Prefabricated Vertical Drains,
International Journal of Geoengineering Case Histories, Vol.5, Issue 3, p. 138 - 151. doi: 10.4417/IJGCH-05-03-01