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Numerical Simulation of Bentonite Extrusion Through a Narrow Planar Space

Published online by Cambridge University Press:  10 February 2011

Joonhong Ahn ,
Paul L. Chambré  and
Jerome Verbeke
Joonhong Ahn
Affiliation:
Department of Nuclear Engineering, University of California, Berkeley, California 94720-1730, ahn@nuc.berkeley.edu
Paul L. Chambré
Affiliation:
Department of Nuclear Engineering, University of California, Berkeley, California 94720-1730
Jerome Verbeke
Affiliation:
Department of Nuclear Engineering, University of California, Berkeley, California 94720-1730
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Abstract

A mathematical model for bentonite expansion through a narrow planar space has been developed based on Terzaghi's theory for clay deformation due to water intrusion. The bentonite expands in a radial direction through a horizontal planar gap, with a constant aperture, filled with water. The permeability and the compressibility of the bentonite are assumed functions of its void ratio. The resulting governing equation is a non-linear diffusion-like equation with void-ratio-dependent coefficients. Numerical solutions for the space-time-dependent void ratio in the expanding bentonite are obtained by applying the Finite Element Method. The finite element solution is combined with a predictor-corrector scheme for evaluations of the void ratio distribution and the location of the moving bentonite-tip boundary. A computer code has been developed for the numerical solutions. The numerical scheme is supported by comparing the results with an analytical solution.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 608: Symposium QQ – Scientific Basis for Nuclear Waste Management XXIII , 1999 , 185
Copyright
Copyright © Materials Research Society 2000

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References

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