## 1 Introduction
### Evolution Behaviors of Mohr-Coulomb Strength Parameters  
#### 2.2.1 Extended Data from Different Granite Samples  
In order to obtain the evolution behaviors of strength parameters of granite after high-temperature and water-cooling treatment, more experimental data on different granite samples should be studied, in addition to the test results on Fangshan granite in this study. Therefore, experimental data from some previously published literatures are also included here. Table 3 summarizes some basic information of the samples and the related treatment conditions, including the sample sizes, mineral contents, heating rates, and cooling water conditions. It should be noted that the Rizhao granite-1 samples are cooled by liquid nitrogen after heating treatment [34]. This research is also presented here for a comparison with the samples suffering water-cooling treatment. In order to systematically compare the strength parameters of different groups of granite samples, the experimental data were normalized in this paper. The normalized cohesion \(c_{\text{N}}\) and normalized internal friction angle \(\varphi_{\text{N}}\) are defined as follows:  
\[c_{\text{N}}=c_{T}/c_{\text{R}} \tag{2}\]  
\[\varphi_{\text{N}}=\varphi_{T}/\varphi_{\text{R}} \tag{3}\]  
where \(c_{T}\) and \(\varphi_{T}\) are cohesion and the internal friction angle of the granite samples after heating temperature of \(T\)\({}^{\circ}\)C and water cooling treatment, respectively, while \(c_{\text{R}}\) and \(\varphi_{\text{R}}\) are cohesion and the internal friction angle of the samples under room temperature, respectively. By this definition, the normalized cohesion and internal friction angle values obtained from the above-mentioned experiments are plotted in Figure 3.  
The variation characteristics of cohesion and the internal friction angle of Fangshan granite have been introduced in Section 2.1. According to Figure 3b, cohesion of Dabie granite under the temperature of 200 \({}^{\circ}\)C is apparently higher than the condition of room temperature, and it does not show significant change from 200 \({}^{\circ}\)C to 500 \({}^{\circ}\)C, thereafter \begin{table}
\begin{tabular}{c c c c c c} \hline \hline
**Samples** & **Sample Size (mm)** & **Mineral Contents 1** & **Heating Rate** & **Cooling Temperature 2** & **References** \\ \hline Fangshan granite & \(\varphi\)25 \(\times\) 50 & \begin{tabular}{c} Qz (38\%), PI (47\%), \\ Mc (11\%), and Mi (4\%) \\ \end{tabular} & 3\({}^{\circ}\)C/min & 20 \({}^{\circ}\)C & This study \\ \hline Dabie granite & \(\varphi\)37 \(\times\) 74 & \begin{tabular}{c} Qz (8.9\%), Pf (45.1\%), \\ Ab (21.1\%), Mi (23.2\%) \\ \end{tabular} & 5\({}^{\circ}\)C/min & RM & [30] \\ \hline Gonghe granite-1 & & & & 20 \({}^{\circ}\)C & \\ \hline Gonghe granite-2 & 50 \(\times\) 50 \(\times\) 50 & \begin{tabular}{c} PI (40\%-50\%), \\ Qz (20\%-25\%), \\ Bt (5\%-10\%) \\ \end{tabular} & 3\(\sim\)5 \({}^{\circ}\)C/h & 60 \({}^{\circ}\)C & [31] \\ \hline Sichuan granite & \(\varphi\)50 \(\times\) 100 & \begin{tabular}{c} Fs (54.1\%), Qz (40.2\%), \\ Bt (5.7\%) \\ \end{tabular} & 5\({}^{\circ}\)C/min & RM & [32] \\ \hline Wuyi granite & \(\varphi\)40 \(\times\) 80 & \
\begin{tabular}{c} Qz (16\%), Mc (51\%), \\ Bt (32\%), Am (1\%) \\ \end{tabular} & 5\({}^{\circ}\)C/min & 25 \({}^{\circ}\)C & [33] \\ \hline Rizhao granite-1 & & & & [34] \\ \hline Rizhao granite-2 & \(\varphi\)50 \(\times\) 100 &
\begin{tabular}{c} Qz (25\%), PI (39\%), \\ Pf (22\%), Bt (14\%) \\ \end{tabular} & 2\(\sim\)4 \({}^{\circ}\)C/min & RM & [35] \\ \hline \hline \end{tabular}  
* Qz— quartz; PI— plagioclase; Mc—micro; Mi—mic; Pf—potassium feldspar; Ab—albit; Bt—biotite; Fs—fedspar. Am—amphhole 2 RM—room temperature.  
\end{table} 
Table 3: Summary of the samples and treatment conditions. it decreases at 600 \({}^{\circ}\)C but it is still very close to the value under room temperature.