Abstract
Models for the quantitative description of the water vapor sorption isotherms in soils were developed on the basis of fundamental equations of equilibrium thermodynamics and the molecular-kinetic theory of gases. The derivation of the corresponding equations, their analytical study, and real data for some isotherms of the water vapor sorption by soils of different genesis and degree of dispersion were described. The models adequately described typical S-shaped sorption isotherms in the entire range of the relative water pressure with high determination coefficients (0.98 ≤ R 2 ≤ 1) and statistically reliable parameters of the nonlinear regression. Along with the variable relative water content (pressure) of the water vapor in the atmosphere and the content of water in the soil, the parameters of the solid phase (specific surface), soil solution (concentration, electrolyte charges), and temperature were used as the base parameters of the models, which theoretically enable the prediction of changes in the sorption isotherms under the effect of these factors.
Similar content being viewed by others
References
A. F. Vadyunina and Z. A. Korchagina, Methods of Studying the Physical Properties of Soils and Sediments (Vysshaya Shkola, Moscow, 1973) [in Russian].
A. D. Voronin, Structural and Functional Hydrophysics of Soils (Mosk. Gos. Univ., Moscow, 1984) [in Russian].
A. M. Globus, Soil-Hydrophysical Support of Agroecological Mathematical Models (Gidrometeoizdat, Leningrad, 1987) [in Russian].
M. N. Gol’dshtein, Mechanical Properties of Sediments (Stroiizdat, Moscow, 1973) [in Russian].
M. N. Gol’dshtein, Mechanical Properties of Sediments (Stroiizdat, Moscow, 1979) [in Russian].
L. O. Karpachevskii, Physics of Surface Phenomena in the Soil (Mosk. Gos. Univ., Moscow, 1985) [in Russian].
A. N. Matveev, Molecular Physics (Vysshaya Shkola, Moscow, 1981) [in Russian].
S. V. Nerpin and A. F. Chudnovskii, Soil Physics (Nauka, Moscow, 1967) [in Russian].
A. V. Smagin, Soil Gas Phase (Mosk. Gos. Univ., Moscow, 2005) [in Russian].
A. V. Smagin, “Soil-Hydrological Constants: Physical Sense and Quantitative Estimation on the Basis of Equilibrium Centrifugation,” in Role of Soils in the Biosphere: Proceedings of the Institute of Ecological Soil Science, Moscow State University, No. 6, 37–63 (2005).
A. V. Smagin, “Theory and Methods of Evaluating the Physical Status of Soils,” Pochvovedenie, No. 3, 328–341 (2003) [Eur. Soil Sci. 36 (3), 301–312 (2003)].
A. V. Smagin, “Ecological and Physical Principles of the Remediation of Finely Dispersed Soil Objects,” Ekol. Vestn. Sev. Kavkaza 5(3), 5–21 (2009).
A. V. Smagin, “Experimental Assessment of the Energy Parameters of Molecular Interactions in Soils,” Kolloidn. Zh. 70(4), 515–519 (2008).
A. V. Smagin, A. S. Manucharov, N. B. Sadovnikova, et al., “The Effect of Exchangeable Cations on the Thermodynamic State of Water in Clay Minerals,” Pochvovedenie, No. 5, 551–557 (2004) [Eur. Soil Sci. 37 (5), 473–478 (2004)].
A. V. Smagin and N. B. Sadovnikova, Effect of Strongly Swelling Polymer Hydrogels on the Physical Status of Light Soils (MAKS-PRESS, Moscow, 2009) [in Russian].
A. V. Smagin, N. B. Sadovnikova, M. V. Glagolev, and A. V. Kirichenko, “New Instrumental Methods and Portable Electronic Means for Controlling the Ecological State of Soil and Adjacent Environments,” Ekol. Vestn. Sev. Kavkaza 2(1), 5–17 (2006).
A. V. Smagin and G. V. Smirnov, “Gas Chromatography in the Determination of the Sorption Isotherms of Water Vapor by Soils,” Pochvovedenie, No. 9, 155–158 (1991).
I. I. Sudnitsyn, Soil Water Movement and Water Supply of Plants (Mosk. Gos. Univ., Moscow, 1979) [in Russian].
I. I. Sudnitsyn, New Methods of Assessing the Water-Physical Properties of Soils and Water Supply of Forest (Nauka, Moscow, 1966) [in Russian].
Yu. G. Frolov, Course of Colloidal Chemistry (Khimiya, Moscow, 1989) [in Russian].
D. D. Khaidapova, “Effect of Temperature on the Desorption of Water in Clay Loamy Light Chestnut Soil,” in Proceedings of the Conference “Soil Physics and Problems of Ecology,” Pushchino, 1992 (Pushchino, 1992), p. 112 [in Russian].
G. V. Kharitonova and V. G. Vityazev, “Isotherms of Water Vapor Sorption by Soils,” Pochvovedenie, No. 4, 446–453 (2000) [Eur. Soil Sci. 33 (4), 388–395 (2000)].
G. V. Kharitonova, A. S. Manucharov, A. V. Smagin, et al., Adsorption of Water Vapor by Soils and Soil Aggregates (Grif, Tula, 2009) [in Russian].
E. V. Shein, Curse of Soil Physics (Mosk. Gos. Univ., Moscow, 2005) [in Russian].
V. V. Shcherbakov, “Electrical Conductivity of the Water Solutions of Electrolytes,” in All-Russian Junior Scientific Forum ‘A Step to the Future,’ Moscow, 2009 (Moscow, 2009) [in Russian].
E. D. Shchukin, A. V. Pertsov, and E. A. Amelina, Colloidal Chemistry (Mosk. Gos. Univ., Moscow, 1982) [in Russian].
G. S. Campbell, Soil Physics with BASIC (Elsevier Sci., 1985).
K. Terzaghi and R. B. Peck, Soil Mechanics in Engineering Practice (New York, 1948).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © A.V. Smagin, 2011, published in Pochvovedenie, 2011, No. 6, pp. 719–730.
Rights and permissions
About this article
Cite this article
Smagin, A.V. Physically based mathematical models of the water vapor sorption by soils. Eurasian Soil Sc. 44, 659–669 (2011). https://doi.org/10.1134/S1064229311060135
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1064229311060135