Saturday, 15 July 2006
116-8

Statistical-Physical Models for Estimation a Heat and Mass Transfer Properties in Soil from Easy Measured Soil Components.

Boguslaw Usowicz, Institute of Agrophysics, Polish Academy of Sciences, Doswiadczalna 4, Lublin, 20-290, Poland

Knowledge of fundamental soil physical properties is required for modelling of energy and mass transports processes. Studies of these properties enable better understanding of the physical processes that take place in the soil and their results can be useful for elaboration of optimal methods for control of thermal-water-air relationship in plant environmental and for prevention of land degradation. A new statistical-physical model of the mass and energy transfer has been formulated in this paper on the bases of the most fundamental conceptions and ideas of mechanics, thermodynamics and electrodynamics. Each constituent soil element through which mass and energy flows, can be characterised by certain specific properties. Hence, each soil element can represent by the so-called resistor or capacitor which are the soil equivalents of soil elements. It can be assumed that soil particles touch one another and form both a serial and a parallel connection. An infinite number of such connections can be distinguished in the soil. They are manifested as various shapes called “meshes”. It can be assumed that a porous medium can be represented by a pattern (net) of more or less cylindrically interconnected channels. The capillary radius can represent an elementary capillary formed in between soil particles in one case, and in another case it can represent a mean hydrodynamic radius. When we view a porous medium as a net of interconnected capillaries, we can apply a statistical approach for the description of the liquid or gas flow. A soil phase is included in the porous medium and its configuration is decisive for pore distribution in this medium and hence, it conditions the course of the water retention curve of this medium. A statistical-physical model was constructed in such a way that the unit of soil volume in which the particles of solid, liquid and gaseous phase are to be found, are presented as a system constructed from elemental geometrical figures forming overlapping layers. It was assumed that the liquid between the particles and its flow through the configuration is presented by the capillary net. Capillary connections in the layer are represented by parallel connections of hydraulic resistors and between the layers the capillary connections are represented by serial resistor connections. The flow of electric current, heat and electric permittivity through the soil's constituents was represented in a similar way. The model enabled the following porous medium properties to be considered: - hydraulic, pneumatic and diffusive properties of porous medium resulting in determination of its gas and water conductivity as well as in determination of its diffusivity from the water retention curves and some calibration data, - thermal properties of the porous medium leading to determination of its thermal conductivity from the basic properties of solid, liquid and gas phases forming this medium, - electrical properties of the porous medium from the viewpoint of determination of its salinity on the basis of the measured bulk electrical conductivity and determination of its moisture content from the measurement of the porous medium dielectric constant. The calculations based on this new statistical-physical model and comparison of the calculated results with the data measured as well as statistical analysis can be a basis to the statement, that this model predicts the heat and mass transfer properties with the satisfactory accuracy. Because characterising the heat and mass transfer properties is costly and time consuming, development of models that predict these properties from more easily measured soil components is desirable.

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