Abstract

A technique is proposed for determining the coefficients of diffusion and adsorption for ions in unsaturated soils. The method integrates the single reservoir diffusion testing of saturated soil with the axis-translation technique for the control of matric suction. The procedure allows for the application of a net total stress and matric suction to the soil during the diffusion test. The use of this new technique to determine the coefficients of diffusion and adsorption of ions from a single test is demonstrated. The effects of the degree of saturation on the coefficients of diffusion and adsorption were evaluated on a sandy soil with water contents ranging from saturation to near the residual degree of saturation. Potassium and chloride ions were used as the primary tracers.

The test results showed that both the coefficients of diffusion and adsorption can be determined from a single test. The results illustrate a decrease in both the effective diffusion and adsorption coefficients with a decrease in the degree of saturation. The extent of the decrease in the effective diffusion coefficient from saturation to near the residual degree of saturation was approximately 80%. The decrease in the adsorption coefficient was gradual and small from saturation to a degree of saturation of approximately 10%; however, it then decreased rapidly as the water content approached the residual degree of saturation.

References

1.
Barraclough
,
P. B.
and
Tinker
,
P. B.
,
1981
, “
The Determination of Ionic Diffusion Coefficients in Field Soils. I. Diffusion Coefficients in Sieved Soils in Relation to Water Content and Bulk Density
,”
Journal of Soil Science
, Vol.
32
, pp.
225
-
236
.
2.
Barrer
,
R. M.
,
1951
,
Diffusion In and Through Solids
,
University Press
,
Cambridge
.
3.
Bear
,
J.
and
Verruijt
,
A.
,
1987
,
Modeling Groundwater Flow and Pollution
,
Dordrecht D. Reide Publishing Company
,
Boston
.
4.
Brown
,
D. A.
,
1953
, “
Cation Exchange in Soils through the Moisture Range, Saturation to the Wilting Percentage
,”
Proceedings of the Soil Science Society of America
, Vol.
17
, pp.
92
-
96
.
5.
Carslaw
,
H. S.
and
Jaeger
,
J. C.
,
1959
,
Conduction of Heat in Solids
, 2nd ed.,
Oxford University Press
,
Oxford, England
.
6.
Conca
,
J. L.
and
Wright
,
J.
,
1990
, “
Diffusion Coefficients in Gravel under Unsaturated Conditions
,”
Water Resource Research
, Vol.
26
, No.
5
, pp.
1055
-
1066
.
7.
CTRAN/W
,
1991
, Version
2
,
Geo-Slope International Ltd.
, Calgary, Alberta, Canada.
8.
Cussler
,
E. L.
,
1984
,
Diffusion—Mass Transfer in Fluid Systems
,
University Press
,
Cambridge
.
9.
Fredlund
,
D. G.
,
1989
, “
Character of the Shear Strength Envelope for Unsaturated Soils
,” The Victor de Mello volume,
Proceedings
,
XII International Conference on Soil Mechanics and Foundation Engineering
,
Rio de Janeiro, Brazil, Editora Edgard Blucher, Ldta.
,
Sao Paulo, Brazil
, pp.
142
-
149
.
10.
Gillham
,
R. W.
,
Robin
,
M. J. L.
, and
Dytynyshyn
,
D. J.
,
1984
, “
Diffusion of Non-Reactive and Reactive Solutes Through Fine-Grained Barrier Materials
,”
Canadian Geotechnical Journal
 0008-3674, Vol.
21
, pp.
541
-
550
.
11.
Graham-Bryce
,
I. J.
,
1963
, “
Effect of Moisture Content and Soil Type on Self Diffusion of 86Rb in Soils
,”
Journal of Agricultural Science
, Vol.
60
, pp.
239
-
244
.
12.
Helfferich
,
F.
,
1962
,
Ion Exchange
,
McGraw-Hill
,
New York
.
13.
Hilf
,
J. W.
,
1956
, “
An Investigation of Pore-Water Pressure in Compacted Cohesive Soils
,” Ph.D. thesis, Technical Memo. No. 654,
U.S. Department of the Interior, Bureau of Reclamation, Design and Construction Division
, Denver, CO.
14.
Klute
,
A.
and
Letey
,
J.
,
1958
, “
The Dependence of Ionic Diffusion on the Moisture Content of Non-adsorbing Porous Media
,”
Proceedings of the Soil Science Society of America
, Vol.
22
, pp.
213
-
215
.
15.
Lambe
,
T. W.
,
1958
, “
The Engineering Behavior of Compacted Clay
,”
ASCE Journal, Soil Mechanics and Foundations Division
, SM2, Vol.
84
, No. 1655, pp.
1
-
35
.
16.
Lim
,
P. C.
,
1995
, “
Characterization and Prediction of the Functionals for the Coefficients of Diffusion and Adsorption for Inorganic Chemicals
,” Ph.D. dissertation,
University of Saskatchewan
, Saskatoon, Saskatchewan, Canada.
17.
Page
,
A. L.
,
Miller
,
R. H.
, and
Keeny
,
D. R.
,
1982
, “
Method of Soil Analysis, Part 2, Chemical and Microbiological Properties
,” Monograph No. 9, 2nd ed.,
American Society of Agronomy
,
Madison, WI
.
18.
Porter
,
L. K.
,
Kemper
,
W. D.
,
Jackson
,
R. D.
, and
Stewart
,
B. A.
,
1960
, “
Chloride Diffusion in Soils as Influenced by Moisture Content
,”
Proceedings of the Soil Science Society of America
, Vol.
24
, pp.
460
-
463
.
19.
Robinson
,
R. A.
and
Stokes
,
R. H.
,
1959
,
Electrolyte Solutions
,
Butterworths
,
London
.
20.
Romkens
,
M. J. M.
and
Bruce
,
R. R.
,
1964
, “
Nitrate Diffusivity in Relation to Moisture Content of Non-Adsorbing Porous Media
,”
Soil Science
 0038-075X, Vol.
98
, pp.
332
-
337
.
21.
Rowe
,
R. K.
,
Caers
,
C. J.
, and
Barone
,
F.
,
1988
, “
Laboratory Determination of Diffusion and Adsorption Coefficients of Contaminants Using Undisturbed Clayey Soils
,”
Canadian Geotechnical Journal
 0008-3674, Vol.
25
, pp.
108
-
118
.
22.
Rowe
,
R. K.
,
Caers
,
C. J.
,
Booker
,
J. R.
, and
Crooks
,
V. E.
,
1985
, “
Pollutant Migration Through Clayey Soils
,”
Proceedings
,
XI International Conference on Soil Mechanics and Foundation Engineering
,
San Francisco, A. A. Balkema, Boston
, pp.
1293
-
1298
.
23.
Rowe
,
R. K.
and
Booker
,
J. R.
,
1983
, “
Program POLLUTE—1D Pollutant Migration Analysis Program
,”
ASCDA, Faculty of Engineering Science, The University of Western Ontario
,
London, Ontario, Canada
.
24.
Rowell
,
D. L.
,
Martin
,
M. W.
and
Nye
,
P. H.
,
1967
, “
The Measurement and Mechanism of Ion Diffusion in Soils. III. The Effect of Moisture Content and Soil Solution Concentration on the Self Diffusion of Ions in Soils
,”
Journal of Soil Science
, Vol.
18
, pp.
204
-
222
.
25.
Shackelford
,
C. D.
,
1991
, “
Laboratory Diffusion Testing for Waste Disposal—A Review
,”
Journal of Contaminant Hydrology
 0169-7722 https://doi.org/10.1016/0169-7722(91)90028-Y, Vol.
7
, pp.
177
-
217
.
26.
Vaidyanathan
,
L. V.
and
Nye
,
P. H.
,
1966
, “
An Exchange Resin Paper Method for Measurement of the Diffusive Flux and Diffusion Coefficient of Nutrient Ions in Soils
,”
Journal of Soil Science
, Vol.
17
, pp.
175
-
183
.
27.
Warncke
,
D. D.
and
Barber
,
S. A.
,
1972
, “
Diffusion of Zinc in Soil: I. The Influence of Soil Moisture
,”
Proceedings of the Soil Science Society of America
, Vol.
36
, pp.
39
-
42
.
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