考虑颗粒破碎的土石混合体孔隙曲折度计算模型
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1.长沙理工大学 土木与环境工程学院;2.广西交科集团有限公司;3.中国建筑第五工程局有限公司;4.广西南宁二环高速公路有限公司

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国家自然科学基金(52378440, 42477143, 42207204);交通运输行业重点科技项目(2022-MS1-032, 2022-MS5-125);湖南省自然科学基金(2023JJ10045, 2023JJ40023);广西重点研发计划(AB23075184);长沙理工大学专业学位研究生“实践创新与创业能力提升计划”资助项目(CLSJCX23023)


Pore Tortuosity Calculation Model of Soil-Rock Mixture Considering Particle Breakage
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1.School of Civil and Environmental Engineering,Changsha University of Science and Technology;2.Guangxi Transportation Science and Technology Group Co., Ltd.;3.China Construction Fifth Engineering Bureau Co., Ltd.;4.Guangxi Nanning Second Ring Expressway Co., Ltd.

Fund Project:

National Natural Science Foundation of China (52378440, 42477143, 42207204); the Key Science and Technology Program in the Transportation Industry (2022-MS1-032, 2022-MS5-125); the Natural Science Foundation of Hunan Province (2023JJ10045, 2023JJ40023); the Guangxi Key Research and Development Program (AB23075184); Graduate Research Innovation of Changsha University of Science and Technology (CLSJCX23023)

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    摘要:

    孔隙曲折度反映了流体在土体内流动路径的复杂程度,是研究土体渗透性能的重要参数。但现有的孔隙曲折度模型大多为通用模型,较难适用于土石混合体这类具有粒径跨度大、孔隙结构复杂等显著特征的土体。为探究适用于土石混合体并可考虑颗粒破碎所导致的级配变化对孔隙曲折度影响的计算模型,本文将土颗粒假设为尺寸不一的圆形,运用对数正态分布函数来表征不同颗粒级配,以阻碍角和各向异性参数来描述颗粒排布结构,基于流体在土石混合体中的层流流动,建立了多因素影响下的孔隙曲折度计算模型。并基于编程软件与数值模拟方法对不同级配与初始孔隙率的土石混合体进行了渗流模拟,理论计算值与数值模拟值的相对误差均在2%以内,证明了本文计算模型的合理性。模型影响因素分析结果表明:颗粒级配变化会显著影响孔隙曲折度,孔隙曲折度会随着粗颗粒含量的增大而减小,且大粒径颗粒的缺失亦会显著降低孔隙曲折度;随着阻碍角和各向异性参数的增大,孔隙曲折度增大。孔隙率与其余影响因素间呈显著的负交互作用,当孔隙率较大时,孔隙曲折度均趋近于1,此时孔隙率对曲折度起主导作用。上述因素对土石混合体内孔隙曲折度的影响程度依次为颗粒级配(质量分形维数)>各向异性参数>孔隙率>阻碍角,其中质量分形维数与各向异性参数的灰关联值均大于0.95,表现出强相关性。

    Abstract:

    Pore tortuosity represents the complexity of fluid flow paths in soil and is a key parameter for analyzing soil infiltration properties. However, most existing pore tortuosity models are general-purpose, making them less suitable for soil-rock mixtures, which exhibit distinct characteristics such as a wide grain size distribution and complex pore structure. To develop a computational model for soil-rock mixtures that accounts for the effects of coarse particle crushing on pore tortuosity, soil particles were assumed to be circular with varying sizes. And a lognormal distribution function was used to represent soil gradation in different cases, while obstruction angle and anisotropy parameter were introduced to characterize the particle dispersion pattern. A pore tortuosity calculation model influenced by multiple factors was finally developed based on the laminar flow of fluids in soil-rock mixtures. Using programming software and numerical simulation methods, seepage simulations were performed on soil-rock mixtures with varying soil gradation and initial porosity. The relative error between the theoretical and simulation results was within 2%, demonstrating the validity of the proposed model. The analysis of the model influencing factors indicated that changes in particle gradation significantly affect pore tortuosity. Pore tortuosity decreased as coarse particle content increased, and the absence of macroparticles further reduced pore tortuosity. As the obstruction angle and anisotropy parameters increased, the pore tortuosity also increased. A significant negative interaction was observed between porosity and the other factors. When porosity is high, pore tortuosity converges to 1, indicating that porosity becomes the dominant factor affecting pore tortuosity. Among the above four influencing factors, the degree of influence on pore tortuosity in the soil-rock mixture followed the order: particle gradation (mass fractal dimension) > anisotropy parameter > porosity > obstruction angle. The grey correlation values of the mass fractal dimension and anisotropy parameter exceeded 0.95, indicating a strong correlation.

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  • 收稿日期:2025-01-26
  • 最后修改日期:2025-03-13
  • 录用日期:2025-06-01
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