Elsevier Editorial System(tm) for Computers and Geotechnics Manuscript Draft Title: Slope Instability of the Earthen Levee in Boston, Uk: Numerical Simulation and Sensor Data Analysis

The paper presents a slope stability analysis for a heterogeneous earthen levee in Boston, UK, which is prone to occasional slope failures under tidal loads. Dynamic behavior of the levee under tidal fluctuations was simulated using a finite element model of variably saturated linear elastic perfectly plastic soil. Hydraulic conductivities of the soil strata have been calibrated according to piezometers readings, in order to obtain correct range of hydraulic loads in tidal mode. Finite element simulation was complemented with series of limit equilibrium analyses. Stability analyses have shown that slope failure occurs with the development of a circular slip surface located in the soft clay layer. Both models (FEM and LEM) confirm that the least stable hydraulic condition is the combination of the minimum river levels at low tide with the maximal saturation of soil layers. FEM results indicate that in winter time the levee is almost at its limit state, at the margin of safety (strength reduction factor values are 1.03 and 1.04 for the low-tide and high-tide phases, respectively); these results agree with real-life observations. The stability analyses have been implemented as real-time components integrated into the UrbanFlood early warning system for flood protection.

[1]  J. Bear Hydraulics of Groundwater , 1979 .

[2]  R. Hill The mathematical theory of plasticity , 1950 .

[3]  D. V. Griffiths,et al.  SLOPE STABILITY ANALYSIS BY FINITE ELEMENTS , 1999 .

[4]  Seung-Rae Lee,et al.  INSTABILITY OF UNSATURATED SOIL SLOPES DUE TO INFILTRATION , 2001 .

[5]  Laurence D. Wesley,et al.  Principle of Effective Stress , 2009 .

[6]  Peter M. A. Sloot,et al.  Simulation of City Evacuation Coupled to Flood Dynamics , 2014 .

[7]  Van Genuchten,et al.  A closed-form equation for predicting the hydraulic conductivity of unsaturated soils , 1980 .

[8]  Peter M. A. Sloot,et al.  Modeling earthen dikes using real-time sensor data , 2013 .

[9]  J. M. Duncan State of the Art: Limit Equilibrium and Finite-Element Analysis of Slopes , 1996 .

[10]  Valeria V. Krzhizhanovskaya,et al.  Flood early warning system: sensors and internet , 2013 .

[11]  D. V. Griffiths,et al.  Unsaturated slope stability analysis with steady infiltration or evaporation using elasto‐plastic finite elements , 2005 .

[12]  Peter M. A. Sloot,et al.  An Approach for Real-Time Levee Health Monitoring Using Signal Processing Methods , 2013, ICCS.

[13]  Ben Gouldby,et al.  Computational models in flood early warning systems , 2012 .

[14]  Valeria V. Krzhizhanovskaya,et al.  Virtual Dike: multiscale simulation of dike stability , 2011, ICCS.

[15]  H. Dines ‘Soil’ Mechanics , 1944, Nature.

[16]  David G. Toll,et al.  CONTROLLING PARAMETERS FOR RAINFALL-INDUCED LANDSLIDES , 2002 .

[17]  D. Fredlund,et al.  The shear strength of unsaturated soils , 1978 .

[18]  D. G. Fredlund,et al.  Effect of soil suction on slope stability at Notch Hill , 1989 .

[19]  Bartosz Balis,et al.  The UrbanFlood Common Information Space for Early Warning Systems , 2011, ICCS.

[20]  Wolmar Fellenius Erdstatische Berechnungen mit Reibung und Kohäsion (Adhäsion) und unter Annahme kreiszylindrischer Gleitflächen , 1940 .

[21]  Anthony Zaknich,et al.  Extensions to the T , 1996 .

[22]  N. B. Melnikova,et al.  Virtual Dike and Flood Simulator : Parallel distributed computing for flood early warning systems , 2011 .

[23]  N. R. Morgenstern,et al.  Extensions to the generalized method of slices for stability analysis , 1983 .

[24]  R Whitman,et al.  USE OF COMPUTERS FOR SLOPE STABILITY ANALYSIS , 1966 .

[25]  Valeria V. Krzhizhanovskaya,et al.  Modeling earthen dikes: sensitivity analysis and calibration of soil properties based on sensor data , 2012 .

[26]  Peter M. A. Sloot,et al.  Distributed Simulation of City Inundation by Coupled Surface and Subsurface Porous Flow for Urban Flood Decision Support System , 2013, ICCS.

[27]  D. Fredlund,et al.  Comparison of slope stability methods of analysis , 1977 .

[28]  Peter M. A. Sloot,et al.  Free-surface flow simulations for discharge-based operation of hydraulic structure gates , 2012, ArXiv.

[29]  Ben Gouldby,et al.  Multiscale modelling in real-time flood forecasting systems: From sand grain to dike failure and inundation , 2010, ICCS.

[30]  Bartosz Balis,et al.  Flood early warning system: design, implementation and computational modules , 2011, ICCS.

[31]  Peter M. A. Sloot,et al.  Controlling flow-induced vibrations of flood barrier gates with data-driven and finite-element modelling , 2012 .

[32]  A. Bishop The use of the Slip Circle in the Stability Analysis of Slopes , 1955 .

[33]  D. E. Pufahl,et al.  Model for the prediction of shear strength with respect to soil suction , 1996 .

[34]  Robert Meijer,et al.  Interpreting sensor measurements in dikes - experiences from UrbanFlood pilot sites , 2012 .

[35]  Valeria V. Krzhizhanovskaya,et al.  Signal analysis and anomaly detection for flood early warning systems , 2014 .

[36]  R. Lewis,et al.  Associated and non-associated visco-plasticity and plasticity in soil mechanics , 1975 .

[37]  E. Mizuno,et al.  Nonlinear analysis in soil mechanics , 1990 .