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Theoretical Prediction of the Soil Thermal Conductivity at Moderately High Temperatures

机译：适度高温下土壤热导率的理论预测

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The theoretical model of the present paper assumes the unit cell of the porous medium as composed of a cubic space with a cubic solid panicle at the center. The thermal conductivity is evaluated by solving the heat conduction equation with the assumption of parallel isotherms within the cubic space. The liquid water in the porous medium is distributed around the solid particle according to the phenomena of adsorption and capillarity. The thermal conductivity of the gas present within the pores takes into account the thermal conductivity of the water vapor and dry air, without enhanced vapor diffusion. The model simplifies the variation of the relative humidity, from dryness to the field capacity, with a linear increase. The predicted results, compared to experimental data, show the agreement is very good at the temperatures in the range (30-50℃) and acceptable at 70℃. At high temperature (90℃) the predictions are higher than the experiments and a better agreement could be obtained by decreasing the thermal conductivity of the gas phase. Besides, the trend of the theoretical predictions is in good agreement with the experiments also at high temperatures.
机译：本文的理论模型假设多孔介质的晶胞由立方空间组成，立方空间以立方固体圆锥体为中心。通过在立方空间内具有平行等温线的假设下求解热传导方程来评估导热系数。多孔介质中的液态水根据吸附和毛细现象分布在固体颗粒周围。存在于孔中的气体的热导率考虑了水蒸气和干燥空气的热导率，而没有增强的蒸气扩散。该模型简化了相对湿度的变化，从干燥到田间持水量呈线性增加。与实验数据相比，预测结果表明该协议在30-50℃的温度范围内具有很好的一致性，在70℃时可以接受。在高温（90℃）下，预测值高于实验值，并且通过降低气相的热导率可以获得更好的一致性。此外，理论预测的趋势与高温下的实验也吻合良好。

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