A mathematical model for the adsorption of water vapor by soils |
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| Authors: | G V Kharitonova V G Vityazev S I Lapekina |
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| Institution: | 1.Institute of Water and Ecological Problems, Far East Division,Russian Academy of Sciences,Khabarovsk,Russia;2.Faculty of Soil Science,Moscow State University,Moscow,Russia;3.Computing Center, Far East Division,Russian Academy of Sciences,Khabarovsk,Russia |
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| Abstract: | A two-parameter mathematical model based on some physical assumptions was developed for the adsorption of water vapor by soils:
W = W
mh(p/p
0) − (p/p
0)3 + (p/p
0)6] + W
res. It was shown that one of the model’s parameters is close to a conventional soil-hydrological constant, namely, the maximum
hygroscopic moisture, or maximum hygroscopicity W
mh. The second parameter reflects the residual water content W
res as the content of immobilized water, which is bound to the most active part of the adsorbing surface, is adsorbed at the
initial stage of adsorption (0 ≤ p/p
0 ≤ 0.05), and later does not participate in the adsorption processes. Methods were proposed for the differential calculation
of singular points and parameters of the model corresponding to the characteristic physical phenomena of water vapor adsorption
in soils. The model was tested for the quantitative assessment of the interaction between the soil solid phase and the water
vapor in different soils (a soddy-strongly podzolic soil, an ordinary chernozem, a chestnut soil, and a medium-columnar solonetz).
A method was proposed for calculating the integral adsorption energy E
max of the soil solid phase-water vapor interaction. It was shown that the E
max values are determined by the physicochemical properties of the soils and characterize the capacity of the separate soil horizons
for adsorbing water vapor. The relationship of the integral adsorption energy of the soils with the relative pressure of the
water vapor and the water content was studied. |
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| Keywords: | |
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