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考虑多尺度孔隙和体积变形效应的双峰SWCC模型及验证

Bimodal SWCC model considering multiscale pore structure and volume deformation effects and its validation

  • 摘要: 在极端干旱背景下,红土含水率变化范围显著超越区域典型水文变幅,进而导致收缩变形加剧并显著影响其持水性能。基于土体多尺度孔隙结构理论及毛细作用机制,构建了宽含水率范围内融合土体收缩体变的双峰土-水特征曲线预测模型,并明确了参数物理意义;通过昆明红土的土-水特征曲线试验与收缩试验,并引用4类典型土样实验数据验证本模型的普适性。结果表明:1)模型由双段Van Genuchten函数变换叠加构建,参数分别关联大孔/微孔进气值、减湿速率及残余含水率,延续经典物理定义;2)昆明红土的土-水特征曲线呈现显著双峰特征(局部存在缓平台),且干密度对持水性能的影响主要集中在吸力小于34 MPa的范围内,收缩曲线受干密度影响显著且均在含水率达到约20%时趋于稳定;3)该模型在形式上扩展了单峰模型框架,能够良好预测4种典型既有土体及经体变修正的昆明红土,而其拟合参数的差异源于各土体在颗粒级配与矿物组成等指标的不同。研究成果为极端干旱区红土失水收缩过程的持水特性演化机制研究及灾害防控提供了理论参考。

     

    Abstract: Extreme drought has exacerbated soil erosion in laterite regions. Yet existing research exhibits two limitations: (1) It remains unclear on the relationship between volumetric shrinkage and water retention in laterites under the wide moisture-content ranges; (2) The bimodal prediction models are often required to explicitly integrate the volumetric deformation and multi-scale pore structure into the soil-water characteristic curve (SWCC) framework. In this study, a bimodal SWCC equation was established to integrate the volumetric variation, the multi-scale pore structure (considering inter-/intra-aggregate pore systems), and the Young-Laplace capillarity (pore networks as randomly connected capillary bundles). The desiccation also induced the shrinkage evolution patterns. Parameter sensitivity analysis was used to investigate the physical significance of the model parameters. Wide-suction-range experiments (including both SWCC and parallel shrinkage tests) were conducted on Kunming laterite. The low-suction range (400 kPa or below) was determined using a pressure plate apparatus, while the high-suction range (10¹-105 kPa) was measured using the filter paper method. The experimental procedures involved the soil sample desiccation, 14-day constant-temperature and humidity curing, and moisture-content determination for both filter paper and soil. Shrinkage tests were performed using the air-drying method, where the specimen dimensions and mass-based moisture content were measured at 1-4-hour intervals. The engineering applicability was validated using data from four typical regional soils. Kunming laterite data were corrected for the volumetric variation. The results show that the pore ternary classification and the water-filling critical criterion hypothesis effectively defined the boundary between macropores and micropores. Consequently, the pore distribution function was constructed using multi-scale pore superposition. Segmented van Genuchten functions at the suction intervals were then transformed, superimposed, and integrated with the correction functions. A bimodal adjustment function was extended for the volumetric change-integrated bimodal prediction model. Two-parameter datasets were identified to modulate the curve morphology. Desiccation initiation timing (either advancing or delaying) was regulated to accelerate the post-air-entry suction desiccation and residual moisture. According to Fredlund's classical unimodal model, these parameters were defined as the characteristic parameters to control the air-entry value, desaturation rate, and residual moisture content for the macropores and micropores. Data trends from both the pressure plate and filter papers were consistent in the suction overlap region. The filter paper data points were slightly higher than before. The Kunming laterite SWCC exhibited the bimodality with the two air-entry points and a plateau in the moderate suction range. A critical suction threshold of 34 MPa was identified, where the specimens with the higher initial dry density shared the superior water retention below this threshold, while the SWCC converged beyond it. The void ratio evolution during desiccation exhibited an initial dry-density dependence, followed by a two-stage pattern: an initial rapid decrease followed by gradual stabilization. Consistently, all shrinkage curves tended to stabilize when the gravimetric water content decreased to approximately 20%, regardless of the initial dry density. Volumetric shrinkage had a significant impact on water retention performance. Below a suction of 34 MPa, the shrinkage caused an upward shift in the SWCC curve after correction. Once the suction reached or exceeded 34 MPa, the volume was stabilized to avoid the correction. Energy dissipation analysis showed that the desiccation essentially involved the continuous solid-liquid-gas phase transitions under suction-gradient-induced microstructure. Model validation revealed that there was a three-phase behavior in the volumetric water content versus matric suction relationship: Phase I featured macropore-dominated drainage, Phase III reflected micropore-controlled retention, and Phase II (the transition zone) represented the synergistic interaction of macropores and micropores. Evaluation metrics confirmed that the excellent prediction performance was achieved (R2= 0.987-0.999; root mean square error= 0.3145-1.381). The classical unimodal model was also extended into an engineering application. The finding can also provide the theoretical support for the water retention evolution during desiccation shrinkage in the extremely arid laterite regions, particularly for disaster prevention and control.

     

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