Contaminant transport in one-dimensional single fractured media: Semi-analytical solution for three-member decay chain with pulse and Heaviside input sources

Hydrological Processes

Volumn 21, Issue 16, 2007, Pages 2135-2143

  Shih, David Ching Fang ^a,b  

^a NATIONAL TAIWAN UNIVERSITY   (Taiwan)

^b INSTITUTE OF NUCLEAR ENERGY RESEARCH   (Taiwan)

Author keywords

Contaminant transport; Fracture; Groundwater; Np 237; Radioactive nuclide; Th 229; U 233

Indexed keywords

FRACTURE; IMPURITIES; LAPLACE TRANSFORMS; NUMERICAL METHODS; ONE DIMENSIONAL; RADIOISOTOPES; TRANSPORT PROPERTIES;

CONTAMINANT TRANSPORT; RADIOACTIVE NUCLIDE; SINGLE FRACTURED MEDIA;

GROUNDWATER;

FRACTURE; GROUNDWATER; IMPURITIES; LAPLACE TRANSFORMS; NUMERICAL METHODS; ONE DIMENSIONAL; RADIOISOTOPES; TRANSPORT PROPERTIES;

GROUNDWATER POLLUTION; LAPLACE TRANSFORM; NUMERICAL METHOD; PERFORMANCE ASSESSMENT; POLLUTANT TRANSPORT; RADIOACTIVE DECAY; RADIOACTIVE POLLUTION; RADIOACTIVE WASTE; WASTE DISPOSAL;

EID: 34547788286     PISSN: 08856087     EISSN: 10991085     Source Type: Journal    
DOI: 10.1002/hyp.6363     Document Type: Article

References (32)

1. Barker JA. 1982. Laplace transform solutions for solute transport in fissured aquifers. Advances in Water Resources 5(2): 98-104.
2. Bear J. 1972. Dynamics of Fluids in Porous Media. Elsevier: New York.
3. Berkowitz B, Bear J, Braester C. 1988. Continuum models for contaminant transport in fractured porous formations. Water Resources Research 24(8): 1225-1236.
4. Cormenzana J. 2000. Transport of a two-member decay chain in a single fracture: simplified analytical solution for two radionuclides with the same transport properties. Water Resources Research 36(5): 1339-1346.
5. Crump KS. 1976. Numerical inversions of Laplace transforms using a Fourier series approximation. Journal of the Association for Computing Machinery 23: 89-96.
6. De Hoog FR, Knight JH, Stokes AN. 1982. An improved method fo numerical inversion of Laplace transforms. SIAM Journal on Scientific and Statistical Computing 3: 357-366.
7. Endo HK, Long JCS, Wilson CR, Witherspoon PA. 1984. A model for investigating mechanical transport in fracture networks. Water Resources Research 20(10): 1390-1400.
8. Fetter CW. 1999. Contaminant Hydrogeology. Prentice Hall: New Jersey.
9. Freeze RA, Cherry JA. 1979. Groundwater. Prentice Hall: New Jersey.
10. Grisak GE, Pickens JF. 1980. Solute transport through fractured media, 1. The effects of matrix diffusion. Water Resources Research 16(4): 719-730.
11. Grisak GE, Pickens JF. 1981. An analytical solution for solute transport through fractured media with matrix diffusion. Journal of Hydrology 52: 47-57.
12. JNC. 1999. H12 Project to establish technical basis for HLW disposal in Japan, supporting report 3, safety assessment. Japan Nuclear Cycle Development Institute, JNC TN1400 99-013.
13. Lester DH, Jansen G, Burkholder HC. 1975. Migration of radionuclide chains through an adsorbing medium. AIChE Symposium Series 71: 202-213.
14. Lindgren M, Skagius K. 1989. SKB WP-Cave Project: radionuclide release from the near-field in a WP-Cave repository. SKB TR89-04, Swedish Nuclear Fuel and Waste Management Co.
15. Mereno L, Arve S, Neretnieks I. 1989. SKB WP-Cave project: transport of escaping radionuclides from the WP-Cave repository to the biosphere. SKB TR89-05, Swedish Nuclear Fuel and Waste management Co.
16. Neretneiks I. 1980. Diffusion in the rock matrix: an important factor in radionuclide migration. Journal of Geophysical Research 85(138): 4379-4397.
17. Norman S, Kjellbert N. 1991. NEAR21: a near field radionuclide migration code for use with the PROPER package. SKB TR91-19, Swedish Nuclear Fuel and Waste Management Co.
18. Rasmuson A. 1984. Migration of radionuclides in fissured rock: analytical solutions for the case of constant source strength. Water Resources Research 20(10): 1435-1442.
19. Rasmuson L, Neretneiks I. 1981. Migration of radionuclides in fissured rock: the influence of micropore diffusion and longitudinal dispersion. Journal of Geophysical Research 86(B5): 3749-3758.
20. Raven KG, Novakowski KS, Lapcevic PA. 1988. Interpretation of field tests of a single fracture using a transient solute storage model. Water Resources Research 24(12): 2019-2032.
21. Schwartz FW, Smith L. 1988. A continuum approach for modeling mass transport in fractured media. Water Resources Research 24(8): 1360-1372.
22. Schwartz FW, Smith L, Crowe AS. 1983. A stochastic analysis of macroscopic dispersion in fractured media. Water Resources Research 19(5): 1253-1265.
23. Shih DC-F. 2004. Uncertainty analysis: one-dimensional radioactive nuclide transport in a single fractured media. Stochastic Environmental Research and Risk Assessment 18(3): 183-294.
24. Shih DC-F, Lin GF, Wang IS. 2002. Contaminant transport in a single fractured media: analytical solution and sensitivity for considering pulse, Dirac delta and single sinusoid input sources. Hydrological Processes 16: 3265-3278.
25. Smith L, Schwartz FW. 1984. An analysis of the influence of fracture geometry on mass transport in fractured media. Water Resources Research 20(9): 1241-1252.
26. Spiegel MR. 1968. Mathematical Handbook of Formulas and Tables. Schaum's Outline Series. McGraw-Hill: New York; 161-173.
27. Sudicky EK, Frind EO. 1982. Contaminant transport in fractured porous media: analytical solution for a system of parallel fractures. Water Resources Research 18(6): 1634-1642.
28. Sudicky EK, Frind EO. 1984. Contaminant transport in fractured porous media: analytical solution for a two-member decay chain in a single fracture. Water Resources Research 20(7): 1021-1029.
29. Sun Y, Buscheck TA. 2003. Analytical solutions for reactive transport of N-member radionuclide chains in a single fracture. Journal of Contaminant Hydrology 62-63: 695-712.
30. Tang DH, Frind EO, Sudicky EA. 1981. Contaminant transport in fractured porous media: analytical solution for a single fracture. Water Resources Research 17(3): 555-564.
31. Travis BJ. 1984. TRACER3D: a model of flow and transport in porous/ fractured media. LA-9667-MS, Los Alamos National Laboratory, Los Alamos, NM, May.
32. Ward DS, Harrover AL, Vincent AH. 1993. Data input guide for SWIFT/ 486, Release 2-53. GeoTrans, Inc., Sterling, VA.