Analysis of the Transport of Radionuclide Chains in a Stochastic Geological Medium by a Biased Monte Carlo Simulation

References

• G. DAGAN, Flow and Transport in Porous Formations, Springer-Verlag, New York (1989).
   Google Scholar
• L. W. GELHAR and C. L. AXNESS, “Three-Dimensional Stochastic Analysis of Macrodispersion in Aquifers,” Water Resour. Res., 19, 7, 161 (1983).
   Google Scholar
• “Performance Assessment of Geological Isolation Systems for Radioactive Waste—Summary,” EUR 11775 EN, Commission of the European Communities, Joint Research Centre (1988).
   Google Scholar
• “Preliminary Performance Assessment for the Waste Isolation Pilot Plant,” SAND92-0700, Sandia National Laboratories (1992).
   Google Scholar
• “Performance Assessment of Geological Isolation Systems for Radioactive Waste—Disposal in Clay Formations,” CEN-EUR 11776 EN, Commission of the European Communities, Joint Research Centre (1988).
   Google Scholar
• J. DEVOOGHT and O. F. SMIDTS, “Transport of Radionuclides in Stochastic Media: 1. The Quasi-Asymptotic Approximation,” Ann. Nucl. Energy, 23, 6, 499 (1996).
   Google Scholar
• O. F. SMIDTS, “Transport of Radionuclides in Stochastic Media: 2. Evaluation of the Parameters,” Ann. Nucl. Energy, 23, 7, 575 (1996).
   Google Scholar
• J. H. CUSHMAN et al., Dynamics of Fluids in Hierarchical Porous Media, Academic Press, New York (1990).
   Google Scholar
• L. W. GELHAR, C. WELTY, and K. R. REHFELDT, “A Critical Review of Data on Field-Scale Dispersion in Aquifers,” Water Resour. Res., 28, 7, 1955 (1992).
   Web of Science ®Google Scholar
• S. P. NEUMAN, “Generalized Scaling of Permeabilities: Validation and Effect of Support Scale,” Geophys. Res. Lett., 21, 5, 349 (1994).
   Web of Science ®Google Scholar
• L. SMITH and F. W. SCHWARTZ, “Mass Transport: 1. A Stochastic Analysis of Macroscopic Dispersion,” Water Resour. Res., 16, 303 (1980).
   Web of Science ®Google Scholar
• G. A. MIKHAÏLOV, Minimization of Computational Costs of Non-Analogue Monte Carlo Methods, World Scientific, Singapore, Malaysia (1991).
   Google Scholar
• K. K. SABELFELD, Monte Carlo Methods in Boundary Value Problems, Computational Physics Series, Springer–Verlag, Berlin, Germany (1991).
   Google Scholar
• I. LUX and L. KOBLINGER, Monte Carlo Particle Transport Methods: Neutron and Photon Calculations, CRC Press, Boca Raton, Florida (1991).
   Google Scholar
• J. DEVOOGHT and C. SMIDTS, “Probabilistic Reactor Dynamics—I: The Theory of Continuous Event Trees,” Nucl. Sci. Eng., 111, 229 (1992).
   Web of Science ®Google Scholar
• J. DEVOOGHT, “Dynamic Reliability,” Adv. Nucl. Sci. Eng., 25, 215 (1997).
   Google Scholar
• J. SPANIER and E. M. GELBARD, Monte Carlo Principles and Neutron Transport Problems, Addison-Wesley Publishing Company, Reading, Massachusetts (1969).
   Google Scholar
• J. BEAR, Hydraulics of Groundwater, Water Resources and Environmental Engineering Series, McGraw-Hill Book Company, New York (1979).
   Google Scholar
• G. de MARSILY, Quantitative Hydrogeology, Academic Press, Orlando, Florida (1986).
   Google Scholar
• O. F. SMIDTS and J. DEVOOGHT, “ANon Analog Monte Carlo Simulation of Transport of Radionuclides in a Porous Medium,” Mathematics and Computers in Simulation (to be published).
   Google Scholar
• L. DEVROYE, Non-Uniform Random Variate Generation, Springer–Verlag, New York (1986).
   Google Scholar
• O. F. SMIDTS and J. DEVOOGHT, “A Variational Method for Determining Uncertain Parameters and Geometry in Hydrogeology,” Reliab. Eng. System Safety, 57, 1, 5 (1997).
   Google Scholar
• A. F. B. THOMPSON, R. ABABOU, and L. W. GELHAR, “Implementation of the Three-Dimensional Turning Bands Random Field Generator,” Water Resour. Res., 25, 10, 2227 (1989).
   Web of Science ®Google Scholar
• J. C. HELTON, J. W. GARNER, M. G. MARIETTA, R. P. RECHARD, D. K. RUDEEN, and P. N. SWIFT, “Uncertainty and Sensitivity Analysis Results Obtained in a Preliminary Performance Assessment for the Waste Isolation Plant,” Nucl. Sci. Eng., 114, 286 (1993).
   Web of Science ®Google Scholar
• E. E. LEWIS and F. BÖHM, “Monte Carlo Simulation of Markov Unreliability Models,” Nucl. Eng. Des., 77, 49 (1984).
   Web of Science ®Google Scholar
• F. J. LEIJ, T. H. SKAGGS, and M. T. VAN GENUCHTEN, “Analytical Solution for Solute Transport in Three-Dimensional Semi-Infinite Porous Media,” Water Resour. Res., 27, 10, 2719 (1991).
   Google Scholar
• Y. NOTAY, V. GHEUR, Z. OULD AMAR, S. PETROVA, and P. SAINT-GEORGES, “Itsol: An Evolving Routine for the Iterative Solution of Symmetric Positive Definite Systems,” Technical Report, Université Libre de Bruxelles (1995), available on the Internet (http://mnserver.ulb.ac.be/num_anal/itsol).
   Google Scholar
• S. P. NEUMAN, “Eulerian-Lagrangian Theory of Transport in Space-Time Nonstationary Velocity Fields: Exact Nonlocal Formalism by Conditional Moments and Weak Approximation,” Water Resour. Res., 29, 3, 633 (1993).
   Web of Science ®Google Scholar
• C. W. GARDINER, Handbook of Stochastic Methods, Springer–Verlag, Berlin, Germany (1985).
   Google Scholar
• M. SAHIMI, Flow and Transport in Porous Media and Fractured Rock: Classical Methods to Modern Approaches, VCH, Weinheim, Germany (1995).
   Google Scholar