One-Dimensional Model for Large-Strain Consolidation in a Bench-Scale Centrifuge

We present a mathematical model for large-strain consolidation in a bench-scale centrifuge, which is not based on scaling laws. The model allows for different boundary condition setups at the base of the sample: free outflow, imposed head or containment. Constitutive relationships for effective stre...

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Bibliographic Details
Published in:Transport in porous media 2016-09, Vol.114 (3), p.675-693
Main Authors: Malengier, Benny, Peiffer, Herman, Di Emidio, Gemmina
Format: Article
Language:English
Subjects:
Algorithms
Anomalies
Boundary conditions
Centrifuges
Civil Engineering
Classical and Continuum Physics
Consolidation
Constitutive relationships
Containment
Earth and Environmental Science
Earth Sciences
Geotechnical Engineering & Applied Earth Sciences
Hydrogeology
Hydrology/Water Resources
Industrial Chemistry/Chemical Engineering
Mathematical analysis
Mathematical models
Method of lines
Numerical analysis
One dimensional models
Outflow
Scaling laws
Slurries
Void ratio
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Summary:We present a mathematical model for large-strain consolidation in a bench-scale centrifuge, which is not based on scaling laws. The model allows for different boundary condition setups at the base of the sample: free outflow, imposed head or containment. Constitutive relationships for effective stress and permeability both in terms of void ratio are required inputs. A numerical algorithm is proposed to solve the constructed mathematical model based on the method of lines. Example numerical problems are discussed, and solution strategies are proposed to deal with anomalies in the numerical solution. A limited experimental test was performed to test the feasibility of the approach. The outcome of the test was positive for preconsolidated grounds. For a slurry, vibration effects appear to be present in the used centrifuge, which are not included in the model.
ISSN:0169-3913
1573-1634
DOI:10.1007/s11242-016-0739-2