K_0及三轴应力状态下压实膨胀土膨胀模型研究

Swelling model study of expansive soil at K_0 and triaxial stress state

以不同初始压实状态下的南阳中膨胀土为对象,在常规固结仪上开展侧限膨胀试验及采用GDS三轴仪进行恒定偏差应力的三轴膨胀试验,通过多元非线性拟合分析,分别获得考虑初始压实度、含水率、上覆压力耦合关联影响的K0膨胀模型以及体积膨胀率与球应力(体积应力)关系的三轴膨胀经验模型。基于K0膨胀模型,提出了压实土膨胀潜势能的定量计算公式,并推导出膨胀土边坡处理层厚度的理论计算方法。基于膨胀体积应变只随球应力变化而不受偏差应力影响的假设条件,分析了同一起始条件下,膨胀土K0模型与三轴膨胀模型的内在关联,并建立了通过K0模型推算三轴应力条件下体积膨胀率的理论方法。试验结果表明:采用多因素耦合的K0膨胀模型预测压实土膨胀势具有较好的准确度及合理性;联系K0模型与三轴膨胀模型的纽带在于假设侧限膨胀全程存在一个平均静止侧压力系数,采用反演方法得到平均侧压力系数呈现随上覆压力增大而减小的趋势,这种变化规律的根本原因则在于侧向膨胀力随上覆压力的增大而减小。

A series of swelling tests is performed on a typical Nanyang expansive soil with medium swelling capacity compacted at various initial densities and water contents. The swelling tests are separately conducted using the conventional oedometer to confine the lateral swelling of the soil specimens, and using the GDS triaxial apparatus to allow the free volumetric swelling. The multiple nonlinear mathematical method is adopted to obtain the lateral swelling model（i.e. K0 model）, which fully considers the coupled effect of initial degree of compaction, moisture content and overburden pressure on the swelling strain. Also, an empirical model for the relationship between spherical stress and volumetric strain is proposed by triaxial swelling test. Based on the K0 swelling model, a formula is proposed to quantitatively evaluate the swell potential, and also a theoretical calculation method is derived to determine the processing layer thickness of expansive soil slope. Based on the assumption that volumetric swelling strain only changes with spherical stress and is not affected by the deviatoric stress, the correlations between the K0 model and triaxial model are analyzed, and a method to calculate the volumetric swelling strain by only employing the K0 model is given. Experimental results show that the proposed K0 model with multifactor coupling is reasonable to predict the swelling potential of compacted expansive soil. It is found that the key factor to link the K0 model and triaxial swelling model is assuming an average static lateral pressure coefficient. The average static lateral pressure coefficient tends to decreases with increasing overburden pressure by inversion method. This tendency of average static lateral pressure coefficient is believed to rely on the fact that lateral swelling pressure decreases with the increase of overburden pressure.