## 3 Test Result Analysis
### Quantitative Analysis of C-M-S Microstructure  
The average variation in the microscopic parameters as a function of dry-wet cycle and temperature is shown in Figure 10. From Figure 10 we noted that the mean pore fractal dimension increased linearly and the mean probability entropy decreased exponentially with increasing in \(N\). This result indicated that the reaction of water with CMS led to soil-defect expansion. The pore fractal dimension increased owing to the water-sensitivity of the minerals; the flaky microcrystallites separated the pores into many micropores, soil-particle aggregation decreased, and irregular collocation weakened. In general, microfractures reduced the C-M-S integrity, thereby leading to a greater degree of particle reorientation. The observed average change in these microstructural parameters proved that dry-wet cycling significantly affected the structure of the CMS. Meanwhile, from Figure 10, we noted that the mean fractal dimension and mean probability entropy remain nearly unchanged when the temperature was below 35 \({}^{\circ}\)C. Above 35 \({}^{\circ}\)C, the mean fractal dimension prominently increased with increasing temperature, corresponding to a significant increase of the pore number of particles under high temperature.  
Next, to explore the correlation between the microscopic and strength parameters of the CMS, we considered the two microscopic parameters (fractal dimension and probability entropy) and the cohesion degradation degree.  
From Figure 11 we observed that the cohesion decreased with increase of the fractal dimension, with this reduction exhibiting a quadratic trend. The fractal dimension was characterized by the internal-structure porosity and arrangement, and the increase of fractal dimension corresponds to the increase of particle porosity and greater dispersion of soil particles. The cohesion of fine-particle soil was mainly owing to the liquid bridge force generated by water bound between soil particles and the combined \"connecting\" forces due to the cementation of capillary water and soil. The presence of bound water surrounding soil particles reduced the cohesive force of the fine-particle soil. Consequently, we could conclude that the liquid bridge force and connection force formed by the bound water were greatly reduced under the conditions of dry-wet cycling and high temperature.  
Figure 10: Variation in the microscopic parameters under dry–wet cycling and temperature.  
In contrast, from Figure 11, we noted that the soil cohesion exhibited a positive correlation with the probability entropy; this result indicated the significant unidirectional influence of dry-wet cycling on the microstructure, which was reflected as a significantly weakened pore orientation degree, weakened dictional arrangement, and reduced soil probability entropy. The smaller probability entropy corresponded to a greater anisotropy rate, which resulted in a decrease of the shear strength.  
The quantitative relationship between cohesion \(c\) and the two microscopic parameters could be expressed as:  
\[c=3.948\times exp(\frac{D_{\rho}}{0.009})+9.245\bigg{\}} \tag{11}\]  
\[c=1722.530H_{n}{}^{2}-575.040H_{n}+54.197\bigg{\}} \tag{12}\]  
\[R^{2}=0.9856\bigg{\}}\]  
where \(c\) denotes the cohesion, \(D_{\rho}\) denote C-M-S fractal dimension, \(H_{n}\) denote C-M-Sprobability entropy.