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基于均匀化方法和椭球夹杂问题基本解给出了非饱和岩土体的有效热传导特性模型。该模型可以考虑夹杂形态、体积分数和空间分布及夹杂间相互作用对有效热传导特性的影响,反映了由于非均匀夹杂引起有效热传导张量的各向异性特性。讨论了夹杂宽高比以及夹杂与基质热传导系数比对有效热传导张量各向异性系数的影响。将岩土体看作固体基质和孔隙夹杂构成的非均匀材料,探讨了岩土体有效热传导系数随孔隙形态、孔隙率和饱和度的变化规律。最后,应用上述模型对高庙子膨润土(GMZ01)有效热传导系数进行预测并与其他模型预测结果进行对比分析。研究表明,本文模型对GMZ01膨润土有效热传导系数具有较好的预测能力,但更准确的预测需根据膨润土的孔隙结构采用多层次均匀化方法。研究成果对于高放核废料深地质处置库缓冲材料的热-水-力耦合特性具有一定参考价值。
Based on the homogenization method and the fundamental solution to the ellipsoidal inclusion problem, the effective thermal conductivity model for unsaturated soils is presented. The model can consider the influence of inclusion morphology, volume fraction, spatial distribution and inter-inclusion interaction on the effective thermal conductivity, which reflects the anisotropy of effective thermal conduction tensor due to non-uniform inclusion. The influence of the inclusion aspect ratio and the ratio of heat conduction coefficient between inclusion and matrix on the effective anisotropy coefficient of thermal conductivity is discussed. The rock mass is considered as non-uniform material composed of solid matrix and pore inclusions, and the variation rules of effective thermal conductivity of rock and soil with pore morphology, porosity and saturation are discussed. Finally, the above model was used to predict the effective thermal conductivity of GMZ01 and compared with other model predictions. The results show that the proposed model has good predictive ability for the effective heat transfer coefficient of GMZ01 bentonite. However, the more accurate prediction is based on the multi-level homogenization of the pore structure of bentonite. The research results have certain reference value for the thermo-hydro-mechanical coupling characteristics of buffer materials for deep-bank disposal of nuclear waste.