Hostname: page-component-78c5997874-fbnjt Total loading time: 0 Render date: 2024-11-17T18:00:04.714Z Has data issue: false hasContentIssue false
  • English
  • Français

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, [email protected]
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
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

[1] Terzaghi, K., Erdbaumechanik auf bodenphysikalischer Grundlage, Leipzig und Wien, Deuticke, F., 1925.Google Scholar
[2] Narashimhan, T. N. and Witherspoon, P. A., Numerical Model for Saturated-Unsaturated Flow in Deformable Porous Media 1. Theory, Water Resources Research, 13(3) 657–664, 1977.Google Scholar
[3] Terzaghi, K., Peck, R. B., and Mesri, G., Soil Mechanics in Engineering Practice, 3rd ed., Wiley-Interscience, 1996.Google Scholar
[4] Pressm, W. H. Flannery, B. P., Teukolsky, S. A., and Vetterling, W. T., Numerical Recipes, The Art of Scientific Computing, Cambridge University Press, 1986 Google Scholar
[5] Gresho, P. M., Lee, R.L., Sani, R.L., Recent Advances in Numerical Methods in Fluids, Pineridge Press, 1980.Google Scholar
[6] Power Reactor and Nuclear Fuel Development Corporation, Technical Report on Research and Development for Geological Disposal of High-Level Radioactive Wastes, PNC TN 1410 92-08, 1992.Google Scholar
[7] Carlslaw, H. S. and Jaeger, J. C., Conduction of Heat in Solids, 2nd Ed., Oxford University Press, 1959.Google Scholar
[8] Power Reactor and Nuclear Fuel Development Corporation, Evaluation of Extrusion of Bentonite Buffer (I), PNC TN8410 97-313, 1997.Google Scholar