Formulation of Time-Domain Random-Walk Compartment Model for Radionuclide Migration from a Geologic Repository

References

• M. IBARAKI and E. A. SUDICKY, “Colloid-Facilitated Contaminant Transport in Discretely Fractured Porous Media 2. Fracture Network Examples,” Water Resour. Res., 31, 12, 2961 (1995).
   Web of Science ®Google Scholar
• P. GRINDROD, M. S. EDWARDS, J. J. W. HIGGO, and G. M. WILLIAMS, “Analysis of Colloid and Tracer Breakthrough Curves,” J. Contam. Hydrol., 21, 243 (1996).
   Web of Science ®Google Scholar
• D. KAWASAKI, J. AHN, P. L. CHAMBRÉ, and W. G. HALSEY, “Congruent Release of Long-Lived Radionuclides from Multiple Canister Arrays,” Nucl. Technol., 148, 181 (2004).
   Web of Science ®Google Scholar
• K. TSUJIMOTO and J. AHN, “Large-Scale Simulation of Rock Fracture Network for Mass Transport in Geologic Repository by Earth Simulator,” Proc. Global 2005, Tsukuba, Japan, October 9–13, 2005, Atomic Energy Society of Japan (2005).
   Google Scholar
• A. PERATTA and V. POPOV, “A New Scheme for Numerical Modelling of Flow and Transport Processes in 3D Fractured Porous Media,” Adv. Water Resour., 29, 42 (2006).
   Web of Science ®Google Scholar
• J. AHN, D. KAWASAKI, and P. L. CHAMBRÉ, “Relationship Among Performance of Geologic Repositories, Canister-Array Configuration, and Radionuclide Mass in Waste,” Nucl. Technol., 140, 94 (2002).
   Web of Science ®Google Scholar
• “Second Progress Report on Research and Development for the Geological Disposal of HLW in Japan, H12: Project to Establish the Scientific and Technical Basis for HLW Disposal in Japan,” TN1410 2000-004, Vol. 3, Japan Nuclear Cycle Development Institute, Tokai-Mura (2000).
   Google Scholar
• “SKB91: Final Disposal of Spent Nuclear Fuel. Importance of the Bedrock for Safety,” SKB Technical Report 92-20, Svensk Kärnbränslehantering Ab (1992).
   Google Scholar
• W. ZHOU, M. W. KOZAK, J. W. PARK, C. L. KIM, and C. H. KANG, “Development of SAGE, A Computer Code for Safety Assessment Analyses for Korean Low-Level Radioactive Waste Disposal,” presented at the 17th KAIF-KNS Annual Conf., April 17–19, Seoul, Korea (2002).
   Google Scholar
• L. ROMERO, L. MORENO, and I. NERETNIEKS, “A Compartment Model for Solute Transport in the Near Field of a Repository for Radioactive Waste (Calculations for Pu-239),” SKB Technical Report 91-48, Svensk Kärnbränslehantering Ab (1992).
   Google Scholar
• L. ROMERO, L. MORENO, and I. NERETNIEKS, “Fast Multiple-Path Model to Calculate Radionuclide Release from the Near Field of a Repository,” Nucl. Technol., 112, 89 (1995).
   Web of Science ®Google Scholar
• D. KAWASAKI, J. AHN, C.-L. KIM, and J.-B. PARK, “Deterministic Performance Assessment for Conceptual Repository for Low- and Intermediate-Level Wastes in Korea,” Nucl. Technol., 154, 3, 374 (2006).
   Web of Science ®Google Scholar
• A. F. B. TOMPSON, E. G. VOMVORIS, and L. W. GELHAR, “Numerical Simulation of Solute Transport in Randomly Heterogeneous Porous Media: Motivation, Model Development, and Application,” UCID-21281, Lawrence Livermore National Laboratory (1987).
   Google Scholar
• D. LIM, J. AHN, and P. L. CHAMBRÉ, “Modeling of Contaminant Transport in Fractured Near-Field Rock,” Proc. 10th Int. High-Level Radioactive Waste Management Conf., Las Vegas, Nevada, March 30–April 2, 2003, American Nuclear Society (2003).
   Google Scholar
• F. DELAY, P. ACKERER, and C. DANQUIGNY, “Simulating Solute Transport in Porous or Fractured Formations Using Random Walk Particle Tracking: A Review,” Vadose Zone J., 4, 360 (2005).
   Web of Science ®Google Scholar
• R. YAMASHITA and H. KIMURA, “Particle-Tracking Technique for Nuclide Decay Chain Transport in Fractured Porous Media,” J. Nucl. Sci. Technol., 27, 11, 1041 (1990).
   Web of Science ®Google Scholar
• O. BANTON, F. DELAY, and G. POREL, “A New Time Domain Random Walk Method for Solute Transport in 1-D Heterogeneous Media,” Ground Water, 35, 6, 1005 (1997).
   Google Scholar
• L. MORENO and I. NERETNIEKS, “Fluid Flow and Solute Transport in a Network of Channels,” J. Contam. Hydrol., 14, 163 (1993).
   Web of Science ®Google Scholar
• F. DELAY and J. BODIN, “Time Domain Random Walk Method to Simulate Transport by Advection-Dispersion and Matrix Diffusion in Fracture Networks,” Geophys. Res. Lett., 28, 21, 4051 (2001).
   Web of Science ®Google Scholar
• J. BODIN, G. POREL, and F. DELAY, “Simulation of Solute Transport in Discrete Fracture Networks Using the Time Domain Random Walk Method,” Earth Planet. Sci. Lett., 208, 297 (2003).
   Web of Science ®Google Scholar
• S. PAINTER and V. CVETKOVIC, “Upscaling Discrete Fracture Network Simulations: An Alternative to Continuum Transport Models,” Water Resour. Res., 41, W02002, doi: 10.1029/2004WR003682 (2005).
   Web of Science ®Google Scholar
• V. CVETKOVIC, S. PAINTER, N. OUTTERS, and J. O. SELROOS, “Stochastic Simulation of Radionuclide Migration in Discretely Fractured Rock near the Äspö Hard Rock Laboratory,” Water Resour. Res., 40, W02404, doi: 10.1029/2003WR002655 (2004).
   Web of Science ®Google Scholar
• I. NERETNIEKS, “A Stochastic Multi-Channel Model for Solute Transport—Analysis of Tracer Tests in Fractured Rock,” J. Contam. Hydrol., 55, 175 (2002).
   Web of Science ®Google Scholar
• B. A. ROBINSON, “Particle Tracking Model and Abstraction of Transport Processes,” ANL-NBS-HS-000026, Rev 00, Civilian Radioactive Waste Management System Management and Operating Contractor, Las Vegas, Nevada (2000).
   Google Scholar
• S. M. ROSS, Introduction to Probability Models, 7th ed., Academic Press, San Diego (2000).
   Google Scholar
• M. ABRAMOWITZ and I. A. STEGUN, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, Dover Publications, New York (1972).
   Google Scholar