A STOCHASTIC ANALYSIS OF CONTAMINANT TRANSPORT THROUGH A ROUGH-SURFACED FRACTURE

Park CK; Keum DK; Hahn PS

Korean Journal of Chemical Engineering, Vol.12, No.4, 428-435, September, 1995

A stochastic model for the calculation of flow and contaminant transport in a single fracture with variable apertures was presented. The spatially varying apertures of the fracture were generated using a geostatistical method, based on a given aperture probability density distribution and a specified spatial correlation length. Fluid flowed between two points in the fracture plan. The fluid potential at each node of the discretization mesh was computed and the steady state flow rates between all the nodes were obtained. Then the contaminant transport was calculated using a particle tracking method. The migration plumes of contaminant between the inlet and the outlet were displayed in contour plots and contaminant elution profiles were also plotted. Calculations showed that fluid flow occured predominantly in a few preferred paths. Hence, the large range of apertures in the fracture gives rise to flow channeling. Simulation results were correlated with the basic input parameters : standard deviation of a lognormal aperture distribution function and the spatial correlation length.

Keywords:Contaminant Transport;Stochastic;Variable Aperture;Fracture;Particle Tracking

[References]

Bianchi L, Snow D, Annu. Arid Zone, 8, 231 (1968)
Choi HJ, Lee HS, Hahn PS, Han KW, Park HH, HWAHAK KONGHAK, 26(2), 229 (1988)
Desbarats AJ, Water Resour. Res., 26, 153 (1990)
El-Kadi AI, "Model Variabilit, in Groundawater Flow," International Groundwater Modling Center, GWMI 84-10, Holcomb Research Institute, Butler Univ. (1984)
Keum DK, Cho WJ, Hahn PS, Park HH, J. Korean Nucl. Soc., 26, 401 (1994)
Lee YM, Cho WJ, Han KW, Park HH, J. Korean Nucl. Soc., 22, 304 (1990)
Levenspiel O, Chemical Reaction Engineering, 2nd ed., John Wiley, New York (1972)
Mantoglou A, Wilson JL, Water Resour. Res., 18, 1379 (1982)
Moreno L, Neretnieks I, Eriksen T, Water Resour. Res., 21, 951 (1985)
Moreno L, Neretnieks I, J. Contaminant Hydrology, 14, 163 (1993)
Moreno L, Tsang CF, Hale FV, Neretnieks I, Water Resour. Res., 24, 2033 (1988)
Nash JC, "Compact Numerical Methods for Computers: Linear Algebra and Function Minimization," John Wiley and Sons, New York (1979)
Neretnieks I, Eriksen T, Tahrinen T, Water Resour. Res., 18, 849 (1982)
Park CK, Vandergraaf TT, Drew DT, Hahn PS, J. Korean Nucl. Soc., 27, 176 (1995)
Smith L, Schwartz FW, Water Resour. Res., 16, 303 (1980)
Tang DH, Frind EO, Sudicky EA, Water Resour. Res., 17, 555 (1981)
Tsang YW, Tsang CF, Water Resour. Res., 23, 467 (1987)
Tsang YW, Tsang CF, Neretnieks I, Moreno L, Water Resour. Res., 24, 2049 (1988)
Vandergraaf TT, Park CK, Drew DJ, "Migration of Conservative and Poorly Sorbing Tracers in Gramite Fractures," Proceedingsof 5th International High Level Radioactive Waste Management, Las Vegas (1994)
Yamashita R, Kimura H, J. Nucl. Sci. Technol., 27, 1041 (1990)

[Referenced By]

[1] Bianchi L, Snow D, Annu. Arid Zone, 8, 231 (1968)

[2] Choi HJ, Lee HS, Hahn PS, Han KW, Park HH, HWAHAK KONGHAK, 26(2), 229 (1988)

[3] Desbarats AJ, Water Resour. Res., 26, 153 (1990)

[4] El-Kadi AI, "Model Variabilit, in Groundawater Flow," International Groundwater Modling Center, GWMI 84-10, Holcomb Research Institute, Butler Univ. (1984)

[5] Keum DK, Cho WJ, Hahn PS, Park HH, J. Korean Nucl. Soc., 26, 401 (1994)

[6] Lee YM, Cho WJ, Han KW, Park HH, J. Korean Nucl. Soc., 22, 304 (1990)

[7] Levenspiel O, Chemical Reaction Engineering, 2nd ed., John Wiley, New York (1972)

[8] Mantoglou A, Wilson JL, Water Resour. Res., 18, 1379 (1982)

[9] Moreno L, Neretnieks I, Eriksen T, Water Resour. Res., 21, 951 (1985)

[10] Moreno L, Neretnieks I, J. Contaminant Hydrology, 14, 163 (1993)

[11] Moreno L, Tsang CF, Hale FV, Neretnieks I, Water Resour. Res., 24, 2033 (1988)

[12] Nash JC, "Compact Numerical Methods for Computers: Linear Algebra and Function Minimization," John Wiley and Sons, New York (1979)

[13] Neretnieks I, Eriksen T, Tahrinen T, Water Resour. Res., 18, 849 (1982)

[14] Park CK, Vandergraaf TT, Drew DT, Hahn PS, J. Korean Nucl. Soc., 27, 176 (1995)

[15] Smith L, Schwartz FW, Water Resour. Res., 16, 303 (1980)

[16] Tang DH, Frind EO, Sudicky EA, Water Resour. Res., 17, 555 (1981)

[17] Tsang YW, Tsang CF, Water Resour. Res., 23, 467 (1987)

[18] Tsang YW, Tsang CF, Neretnieks I, Moreno L, Water Resour. Res., 24, 2049 (1988)

[19] Vandergraaf TT, Park CK, Drew DJ, "Migration of Conservative and Poorly Sorbing Tracers in Gramite Fractures," Proceedingsof 5th International High Level Radioactive Waste Management, Las Vegas (1994)

[20] Yamashita R, Kimura H, J. Nucl. Sci. Technol., 27, 1041 (1990)