3,406 research outputs found

    Stability and Monotonicity for Some Discretizations of the Biot's Model

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    We consider finite element discretizations of the Biot's consolidation model in poroelasticity with MINI and stabilized P1-P1 elements. We analyze the convergence of the fully discrete model based on spatial discretization with these types of finite elements and implicit Euler method in time. We also address the issue related to the presence of non-physical oscillations in the pressure approximation for low permeabilities and/or small time steps. We show that even in 1D a Stokes-stable finite element pair fails to provide a monotone discretization for the pressure in such regimes. We then introduce a stabilization term which removes the oscillations. We present numerical results confirming the monotone behavior of the stabilized schemes

    Analytical solution and numerical simulation of vacuum consolidation by vertical drains beneath circular embankments

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    This paper presents an analytical solution and numerical simulation of vacuum consolidation beneath a circular loading area (e.g. circular oil tanks or silos). The discrete system of vertical drains is substituted by continuous concentric rings of equivalent drain walls. The effectiveness of the vacuum as distributed along the drain length and the well resistance of the drains are considered. A rigorous solution of radial drainage towards cylindrical drain walls is presented and compared to numerical FEM predictions. The model is then successfully adopted to analyse the vacuum consolidation of a circular embankment in the Ballina field testing facility in Australia

    Consolidation behavior and its influencing factors of PVD unit cells under static and cyclic loads

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    佐賀大学博士(工学)学位論文(Thesis)doctoral thesi

    Finite Element Analysis of PV Drains for a Test Embankment on Soft Clay

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    In 2012 the New Hampshire Department of Transportation constructed a test embankment with prefabricated vertical drains on top of soft marine clay in Dover, NH. The test embankment was built with variable drain spacing and embankment geometry in order to determine effective and efficient treatment for long term ground settlement. Findings from this study are to be implemented in future applications in the New Hampshire seacoast where soft marine clay is present. Using data collected from several in situ and laboratory tests, this thesis investigates the use of finite element analysis to predict total settlement and time rate of consolidation using the soft soil creep model within PLAXIS 2D. The model is validated by comparing finite element analysis results with geotechnical monitoring instrumentation installed within the test embankment at the time of construction. It was found that predictions of pore pressure dissipation and vertical displacements yield comparable results with that observed in the field

    Consolidation behavior of Ariake clay under constant rate of strain

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