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翟钱, 田刚, 朱益瑶, 戴国亮, 赵学亮, 龚维明, 杜延军. 考虑滞后性的土-水特征曲线物理-统计模型研究[J]. 岩土工程学报, 2023, 45(10): 2072-2080. DOI: 10.11779/CJGE20220865
引用本文: 翟钱, 田刚, 朱益瑶, 戴国亮, 赵学亮, 龚维明, 杜延军. 考虑滞后性的土-水特征曲线物理-统计模型研究[J]. 岩土工程学报, 2023, 45(10): 2072-2080. DOI: 10.11779/CJGE20220865
ZHAI Qian, TIAN Gang, ZHU Yiyao, DAI Guoliang, ZHAO Xueliang, GONG Weimin, DU Yanjun. Physical-statistical model for estimation of hysteresis of soil-water characteristic curve[J]. Chinese Journal of Geotechnical Engineering, 2023, 45(10): 2072-2080. DOI: 10.11779/CJGE20220865
Citation: ZHAI Qian, TIAN Gang, ZHU Yiyao, DAI Guoliang, ZHAO Xueliang, GONG Weimin, DU Yanjun. Physical-statistical model for estimation of hysteresis of soil-water characteristic curve[J]. Chinese Journal of Geotechnical Engineering, 2023, 45(10): 2072-2080. DOI: 10.11779/CJGE20220865

考虑滞后性的土-水特征曲线物理-统计模型研究

Physical-statistical model for estimation of hysteresis of soil-water characteristic curve

  • 摘要: 非饱和土的持水和渗透特性具有明显的滞后现象,即非饱和土的水力特性在脱湿过程与其在浸润过程会表现出明显的差异性。现有土-水特征曲线(SWCC)滞后模型多为经验模型,其结果在很大程度上依赖模型参数的选取。换言之,这些经验模型多为数学模型,模型参数缺失相应的实际物理意义。采用矩阵形式模拟修正毛细物理模型,通过数理统计的手段计算脱湿和浸润过程,土体中不同尺寸孔隙的水分含量,并累加各孔隙汇总的水分含量得到不同吸力状态土体的含水率。在计算浸润过程孔隙中水分含量时,深入分析留截空气、“墨水瓶”效应和“雨滴”效应对滞后现象的影响,并提出相应的计算公式。选取国内外SWCC脱湿与浸润的试验数据,和本文模型结果作对比。对比结果显示,物理-统计模型计算结果与试验数据吻合度较高,可作为预测SWCC滞后曲线行之有效的一种方法。

     

    Abstract: The hysteresis phenomenon is commonly observed associated with both the soil-water characteristic curve (SWCC) and the hydraulic conductivity function (HCF) of unsaturated soils. In other words, the volumetric water content and the hydraulic conductivity in the wetting process are commonly different than those in the drying processs. There are various empirical models avaiable for the estimation of the hysteresis of SWCC, and the estimated results by those empirical models are much dependent on the model parameters, which have weak physical meanings. A matrix is adopted for the simulation of the improved capillary model, and the water amount in the tubes with different radii is calculated using the statistical method. The water contents corresponding to different suction levels in the drying and wetting processes are obtained by summation of the water amount in the tubes with different radii. In the wetting process, the effects of the factors (such as the entrapped air, ink-bottle effect and the "rain-drop" effect) on the hysteresis of SWCC are quantified. The SWCC data collected from the literatures published both at home and abroad are adopted for the verification. It is observed that the predicted results by the proposed model have good agreement with the experimental data from the literatures.

     

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