Solute Diffusion

Methods of Soil Analysis, Part 4: Physical Methods

Volumn , Issue , 2018, Pages 1323-1351

  Flury, Markus ^a   Gimmi, Thomas F ^b  

^a WASHINGTON STATE UNIVERSITY   (United States)

^b UNIVERSITY OF BERN   (Switzerland)

Author keywords

Diffusion coefficient estimation; Fick s laws of diffusion; Half cell method; Ion exchange resin paper method; Nonreactive solute diffusion; Porous media; Reservoir method; Steady state methods; Temperature dependence; Transient methods

Indexed keywords

EID: 85101395421     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.2136/sssabookser5.4.c55     Document Type: Chapter

References (72)

1. Ampadu, K.O., K. Torii, and M. Kawamura. 1999. Beneficial effect of fly ash on chloride diffusivity of hardened cement paste. Cement Concrete Res. 29:585-590.
2. Barraclough, P.B., and P.B. Tinker. 1982. The determination of ionic diffusion coefficients in field soils. II. Diffusion of bromide ions in undisturbed soil cores. J. Soil Sci. 33:13-24.
3. Barrer, R.M. 1951. Diffusion in and through solids. Cambridge University Press, Cambridge, UK.
4. Bhadoria, P.B.S., J. Kaselowsky, N. Claassen, and A. Jungk. 1991. Soil phosphate diffusion coefficients:Their dependence on phosphate concentration and buffer power. Soil Sci. Soc. Am. J. 55:56-60.
5. Brown, D.A., B.E. Fulton, and R.E. Phillips. 1964. Ion diffusion: I. A quick-freeze method for the measurement of ion diffusion in soil and clay systems. Soil Sci. Soc. Am. Proc. 28:628-632.
6. Cho, W.J., D.W. Oscarson, and P.S. Hahn. 1993. The measurement of apparent diffusion coefficients in compacted clays: And assessment of methods. Appl. Clay Sci. 8:283-294.
7. Conkling, B.L., and R.W. Blanchar. 1986. Estimation of calcium diffusion coefficients from electrical conductivities. Soil Sci. Soc. Am. J. 50:1455-1459.
8. Crank, J. 1975. The mathematics of diffusion. 2nd ed. Clarendon Press, Oxford University Press, Oxford, UK.
9. Cussler, E.L. 1984. Diffusion. Mass transfer in fluid systems. Cambridge University Press, Cambridge, UK.
10. Dowker, S.E.P., P. Anderson, and J.C. Elliott. 1996. X-ray microradiographic determination of diffusion coefficients within porous media based on Fick’s second law: Theory and error analysis. Microsc. Microanal. Microstruct. 7:49-63.
11. Fick, A. 1855. Über Diffusion. Annal. Physik Chem. 94:59-86.
12. Gimmi, T., H. Flühler, B. Studer, and A. Rasmuson. 1993. Transport of volatile chlorinated hydrocarbons in unsaturated aggregated media. Water Air Soil Pollut. 68:291-305.
13. Glass, G.K., and N.R. Buenfeld. 1992. Theoretical assessment of the steady state diffusion cell test. J. Mater. Sci. 33:5111-5118.
14. Glass, G.K., G.M. Stevenson, and N.R. Buenfeld. 1998. Chloride-binding isotherms from the diffusion cell test. Cement Concrete Res. 28:939-945.
15. Graham, T. 1850. On the diffusion of liquids. Philos. Trans. R. Soc. London 140:1-46.
16. Grathwohl, P. 1998. Diffusion in natural porous media; Contaminant transport, sorption/desorption and dissolution kinetics. Kluwer Academic Publisher, Boston, MA.
17. Hallmann, M., K.K. Unger, M. Appel, G. Fletscher, and J. Kärger. 1996. Evaluation of transport properties of packed beds of microparticulate porous and nonporous silica beads by means of pulsed field gradient NMR spectroscopy. J. Phys. Chem. 100:7729-7734.
18. Hollewand, M.P., and L.F. Gladden. 1995a. Transport heterogeneity in porous pellets-1. PGSE NMR studies. Chem. Eng. Sci. 50:309-326.
19. Hollewand, M.P., and L.F. Gladden. 1995b. Transport heterogeneity in porous pellets-2. NMR imaging studies under transient and steady-state conditions. Chem. Eng. Sci. 50:327-344.
20. Ibaraki, M. 2001. A simplified technique for measuring diffusion coefficients in rock blocks. Water Resour. Res. 35:1519-1523.
21. Jost, W. 1952. Diffusion in solids, liquids, gases. Academic Press, New York, NY.
22. Jungk, A., and N. Claassen. 1997. Ion diffusion in the soil-root system. Adv. Agron. 61:53-110.
23. Jurinak, J.J., S.S. Sandhu, and L.M. Dudley. 1986. Ionic diffusion coefficients as predicted by conductometric techniques. Soil Sci. Soc. Am. J. 51:625-630.
24. Kau, P.M.H., P.J. Binning, P.W. Hitchcock, and D.W. Smith. 1999. Experimental analysis of fluorid diffusion and sorption in clays. J. Contam. Hydrol. 36:131-151.
25. Kemper, W.D. 1986. Solute diffusivity. p. 1007-1024. In A. Klute (ed.) Methods of soil analysis. Part 1. 2nd ed. ASA and SSSA, Madison, WI.
26. Klute, A., and J. Letey. 1958. The dependence of ionic diffusion on the moisture content of nonadsorbing porous media. Soil. Sci. Soc. Am. Proc. 22:213-215.
27. Kozul, N., G.R. Davis, P. Anderson, and J.C. Elliot. 1999. Elemental quantification using multiple-energy x-ray absorptiometry. Meas. Sci. Technol. 10:252-259.
28. Lens, P., F. Vergeldt, G. Lettinga, and H. van As. 1999. 1H NMR characterization of the diffusional properties of methanogenic granular sludge. Water Sci. Technol. 39:187-194.
29. Lens, P., L.H. Pol, G. Lettinga, and H. van As. 1997. Use of 1H NMR to study transport processes in sulfidogenic granular sludge. Water Sci. Technol. 36:157-163.
30. Li, Y., and S. Gregory. 1974. Diffusion of ions in sea water and in deep-sea sediments. Geochim. Cosmochim. Acta 38:703-714.
31. Lide, D.R. 1994. CRC handbook of chemistry and physics. 75th ed. CRC Press, Boca Raton, FL.
32. Millington, R.J., and J.P. Quirk. 1961. Permeability of porous solids. Trans. Faraday Soc. 57:1200-1207.
33. Moldrup, P., T. Olesen, D.E. Rolston, and T. Yamaguchi. 1997. Modelling diffusion and reacting in soils. 7. Predicting gas and ion diffusivity in undisturbed and sieved soils. Soil Sci. 162:632-640.
34. Mullins, G.L., and L.E. Summers. 1986. Characterization of cadmium and zinc in four soil treated with sewage sludge. J. Environ. Qual. 15:382-387.
35. Neretnieks, I. 1980. Diffusion in the rock matrix: An important factor in radionuclide retardation? J. Geophys. Res. 85:4379-4397.
36. Nye, P.H. 1979. Diffusion of ions and uncharged solutes in soils and soil clays. Adv. Agron. 31:225-272.
37. Olesen, T., P. Moldrup, and J. Gamst. 1999. Solute diffusion and adsorption in six soil along a soil texture gradient. Soil Sci. Soc. Am. J. 63:519-524.
38. Olesen, T., P. Moldrup, K. Henriksen, and L.W. Petersen. 1996. Modeling diffusion and reaction in soils:IV. New models for predicting ion diffusivity. Soil Sci. 161:633-645.
39. Olesen, T., P. Moldrup, Y. Yamaguchi, H.H. Nissen, and D.E. Rolston. 2000. Modified half-cell method for measuring the solute diffusion coefficient in undisturbed, unsaturated soil. Soil Sci. 165:835-840.
40. Olesen, T., P. Moldrup, Y. Yamaguchi, and D.E. Rolston. 2001. Constant slope impedance factor model for predicting the solute diffusion coefficient in unsaturated soil. Soil Sci. 166:89-96.
41. Olsen, S.R., and W.D. Kemper. 1968. Movement of nutrients to plant roots. Adv. Agron. 20:91-151.
42. Oscarson, D.W., H.B. Hume, N.G. Sawatsky, and S.C.H. Cheung. 1992. Diffusion of iodide in compacted bentonite. Soil Sci. Soc. Am. J. 56:1400-1406.
43. Palmer, C.J., and R.W. Blanchar. 1980. Prediction of diffusion coefficients from electrical conductance of soil. Soil Sci. Soc. Am. J. 44:925-929.
44. Park, I.-S., D.D. Do, and A.E. Rodrigues. 1996. Measurement of the effective diffusivity in porous media by the diffusion cell method. Catal. Rev. Sci. Eng. 38:189-247.
45. Pfankuch, H.O. 1963. Contibution à létude des déplacement de fluides miscible dans un milieu poreux. Rev. Inst. Fr. Pet. 2:215-270.
46. Phillips, R.E., and D.A. Brown. 1964. Ion diffusion: II. Comparison of apparent self and counter diffusion coefficients. Soil Sci. Soc. Am. Proc. 28:758-763.
47. Pearson, F.J. 1999. What is the porosity of a mudrock? p. 9-21. In A.C. Aplin et al. (ed.) Muds and mudstones:Physical and fluid flow properties. Special Publ. 158. Geological Society, London, UK.
48. Porter, L.K., W.D. Kemper, R.D. Jackson, and B.A. Stewart. 1960. Chloride diffusion in soils as influenced by moisture content. Soil Sci. Soc. Am. Proc. 24:460-463.
49. Rao, P.S.C., R.E. Jessup, J.M. Davidson, and D.P. Kilcrease. 1980. Experimental and mathematical description of nonadsorbed solute transfer by diffusion in spherical aggregates. Soil Sci. Soc. Am. J. 44:684-688.
50. Reid, R.C., J.M.. Prausnitz, and B.E. Poling. 1987. The properties of liquids and gases. 4th ed. McGraw-Hill, New York, NY.
51. Robin, M.J.L., R.W. Gillham, and D.W. Oscarson. 1987. Diffusion of strontium and chloride in compacted clay-based materials. Soil Sci. Soc. Am. J. 51:1102-1108.
52. Robinson, R.A., and R.H. Stokes. 1959. Electrolyte solutions. 2nd ed. Academic Press, New York, NY.
53. Rowe, R.K., C.J. Caers, and F. Barone. 1988. Laboratory determination of diffusion and distribution coefficients of contaminants using undisturbed clayey soil. Can. Geotech. J. 25:108-118.
54. Saffman, P.G. 1960. A theory of dispersion in porous medium. J. Fluid Mech. 2:194-208.
55. Sawatsky, N.G., and D.W. Oscarsen. 1991. Diffusion of technetium in dense bentonite under oxidizing and reducing conditions. Soil Sci. Soc. Am. J. 55:1261-1267.
56. Shackelford, C.D. 1991. Laboratory diffusion testing for waste disposal-A review. J. Contam. Hydrol. 7:177-217.
57. Skagius, K., and I. Neretnieks. 1986. Porosities and diffusivities of some nonsorbing species in crystalline rocks. Water Resour. Res. 22:389-398.
58. Stähli, M., and D. Stadler. 1997. Measurement of water and solute dynamics in freezing soil columns with time domain reflectometry. J. Hydrol. (Amsterdam) 195:352-369.
59. Stapf, S., R.J. Packer, R.G. Graham, J.-F. Thovert, and P.M. Adler. 1998. Spatial correlations and dispersion for fluid transport through packed glass beads studied by pulsed field-gradient NMR. Phys. Rev. E 16:463-469.
60. Stoessell, R.K., and J.S. Hanor. 1975. A nonsteady state method for determining diffusion coefficients in porous media. J. Geophys. Res. 80:4979-4982.
61. Sulaiman, W., and B.D. Kay. 1972. Measurement of the diffusion coefficient of boron in soil using a single cell techinque. Soil Sci. Soc. Am. Proc. 36:746-752.
62. Tallarek, U., F.J. Vergeldt, and H. van As. 1999. Stagnant-mobile phase mass transfer in chromatography media: Intraparticle diffusion and exchange kinetics. J. Phys. Chem. B 103:7654-7664.
63. Tang, N., and L.O. Nilson. 1992. Rapid determination of chloride diffusivity in concrete by applying electrical field. ACI Mater. J. 89:49-53.
64. Tessier, J.J., K.J. Packer, J.-F. Thovert, and P.M. Adler. 1997. NMR measurements and numerical simulation of fluid transport porous solids. AIChE J. 43:1653-1661.
65. Tinker, P.B. 1970. Some problems in the diffusion of ions in soils. Soc. Chem. Ind. Monogr. 37:120-134.
66. Vaidyanathan, L.V., and P.H. Nye. 1966. The measurement and mechanism of ion diffusion in soils. II. An ion exchange resin paper method for measurement of the diffusive flux and diffusion coefficient of nutrient ions in soils. J. Soil Sci. 17:175-183.
67. Van As, H., and D. van Dusschoten. 1997. NMR methods for imaging of transport processes in microporous systems. Geoderma 80:389-403.
68. van Brakel, J., and P.M. Heertjes. 1974. Analysis of diffusion in macroporous media in terms of a porosity, a tortuosity and a constrictivity factor. Int. J. Heat Mass Transfer 17:1093-1103.
69. van Rees, K.C.J., E.A. Sudicky, P.S.C. Rao, and K.R. Reddy. 1991. Evaluation of laboratory techniques for measuring diffusion coefficients in sediments. Environ. Sci. Technol. 25:1605-1611.
70. van Rees, K.C.J., N.B. Comerford, and P.S.C. Rao. 1990. Defining soil buffer power: implications for ion diffusion and nutrient uptake modeling. Soil Sci. Soc. Am. J. 54:1505-1507.
71. van Schaik, J.C., and W.D. Kemper. 1966. Chloride diffusion in clay-water systems. Soil Sci. Soc. Am. Proc. 30:22-25.
72. Warncke, D.D., and S.A. Barber. 1973. Diffusion of zinc in soils. III. Relation to zinc adsorption isotherms. Soil Sci. Soc. Am. Proc. 37:355-358.