Formulation of time-domain random-walk compartment model for radionuclide migration from a geologic repository

Nuclear Technology

Volumn 163, Issue 1, 2008, Pages 137-146

  Kawasaki, Daisuke ^a   Ahn, Joonhong ^b  

^a UNIVERSITY OF TOKYO   (Japan)

^b Etcheverry Hall MCI 730   (United States)

Author keywords

Compartment model; Time domain random walk method; Upscaling

Indexed keywords

GEOLOGIC MODELS; RADIOACTIVE WASTE DISPOSAL; RADIOACTIVE WASTES; RADIOISOTOPES; RANDOM PROCESSES; RESIDENCE TIME DISTRIBUTION; WASTE DISPOSAL;

COMPARTMENT MODEL; HIGH LEVEL RADIOACTIVE WASTES; PERFORMANCE ASSESSMENT; RADIONUCLIDE MIGRATION; RADIONUCLIDE TRANSPORT; RESIDENCE TIME DISTRIBUTION (RTDS); TIME-DOMAIN RANDOM WALKS; UPSCALING;

TIME DOMAIN ANALYSIS;

EID: 50549099102     PISSN: 00295450     EISSN: None     Source Type: Journal    
DOI: 10.13182/NT08-A3977     Document Type: Conference Paper

References (26)

1. 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).
2. 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).
3. 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).
4. 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).
5. 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).
6. 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).
7. "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," TN14102000-004, Vol. 3, Japan Nuclear Cycle Development Institute, Tokai-Mura (2000).
8. "SKB91: Final Disposal of Spent Nuclear Fuel. Importance of the Bedrock for Safety," SKB Technical Report 92-20, vensk Kärnbränslehantering Ab (1992).
9. 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).
10. 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 Kärnbänslehantering Ab (1992).
11. 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).
12. 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).
13. 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).
14. 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).
15. 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).
16. 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).
17. 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).
18. L. MORENO and I. NERETNIEKS, "Fluid Flow and Solute Transport in a Network of Channels," J. Contam. Hydrol., 14, 163 (1993).
19. 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).
20. 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).
21. 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).
22. 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).
23. I. NERETNIEKS, "A Stochastic Multi-Channel Model for Solute Transport - Analysis of Tracer Tests in Fractured Rock," J. Contam. Hydrol., 55, 175 (2002).
24. 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).
25. S. M. ROSS, Introduction to Probability Models, 7th ed., Academic Press, San Diego (2000).
26. M. ABRAMOWITZ and I. A. STEGUN, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, Dover Publications, New York (1972).