## 3 Analysis of Test Data  
### Physical Properties Analysis  
Photos of sandstone specimens treated with different water temperatures are shown in Figure 4  
Figure 3: Clamping method of the specimen. Figure 2: SHPB test device. As can be seen from the picture, the increase in the water temperature lightens the surface color of the specimen. The specimen numbers also gradually became blurred under the temperature-water coupling effect. When touching the specimens' surface gently with the hand, the higher the water temperature, the stronger the surface frosting feeling, and the more granular fine sand floating on the specimen surface. Before and after the temperature-water coupling effect, the physical basic data of the sandstone specimens were calculated, and the results are shown in Table 1.  
\begin{table}
\begin{tabular}{c c c c c c c} \hline \hline \multirow{2}{*}{ \begin{tabular}{c} **Temperature** \\ **\({}^{\circ}\)C** \\ \end{tabular}  } & \multirow{2}{*}{ \begin{tabular}{c} **Specimen** \\ **Number** \\ \end{tabular}  } & \multicolumn{2}{c}{ \begin{tabular}{c} **Before Temperature–Water Coupling** \\ **Mass** \\ **(g)** \\ \end{tabular}  } & \multicolumn{2}{c}{ \begin{tabular}{c} **Density** \\ **(g/mm\({}^{3}\))** \\ \end{tabular}  } & \multicolumn{2}{c}{\ \begin{tabular}{c} **Mass** \\ **(g)** \\ \end{tabular}  } & \multicolumn{2}{c}{ \begin{tabular}{c} **Volume** \\ **(mm\({}^{3}\))** \\ \end{tabular}  } \\ \hline
25 & \begin{tabular}{c} GB33-01 \\ GB33-02 \\ \end{tabular}  & \begin{tabular}{c} 122.98 \\ 123.25 \\ \end{tabular}  & \begin{tabular}{c} 47.05 \\ 47.24 \\ \end{tabular}  & \begin{tabular}{c} 2.61 \\ 2.61 \\ 2.61 \\ 2.62 \\ \end{tabular}  & \begin{tabular}{c} 123.20 \\ 123.63 \\ \end{tabular}  & \ \begin{tabular}{c} 47.10 \\ 47.28 \\ \end{tabular}  & \begin{tabular}{c} 2.62 \\ 2.62 \\ 2.62 \\ \end{tabular}  \\ \hline
35 & \begin{tabular}{c} GB33-03 \\ GB33-04 \\ \end{tabular}  & \begin{tabular}{c} 123.81 \\ 123.58 \\ \end{tabular}  & \begin{tabular}{c} 47.51 \\ 47.09 \\ 47.09 \\ \end{tabular}  & \begin{tabular}{c} 2.61 \\ 2.62 \\ 2.62 \\ \end{tabular}  & \begin{tabular}{c} 124.12 \\ 123.93 \\ 123.93 \\ \end{tabular}  & \ \begin{tabular}{c} 47.54 \\ 47.17 \\ \end{tabular}  & \begin{tabular}{c} 2.61 \\ 2.63 \\ 2.63 \\ \end{tabular}  \\ \hline
45 & \begin{tabular}{c} GB33-05 \\ GB33-06 \\ \end{tabular}  & \begin{tabular}{c} 122.31 \\ 123.51 \\ \end{tabular}  & \begin{tabular}{c} 47.23 \\ 47.14 \\ 47.14 \\ \end{tabular}  & \begin{tabular}{c} 2.59 \\ 2.62 \\ 2.62 \\ \end{tabular}  & \begin{tabular}{c} 122.61 \\ 123.89 \\ 121.44 \\ \end{tabular}  & \ \begin{tabular}{c} 47.30 \\ 47.01 \\ 47.01 \\ \end{tabular}  & \begin{tabular}{c} 2.59 \\ 2.58 \\ \end{tabular}  \\ \hline
55 & \begin{tabular}{c} GB33-07 \\ GB33-08 \\ \end{tabular}  & \begin{tabular}{c} 124.03 \\ 121.11 \\ \end{tabular}  & \begin{tabular}{c} 47.30 \\ 46.91 \\ 46.91 \\ \end{tabular}  & \begin{tabular}{c} 2.62 \\ 2.58 \\ \end{tabular}  & \begin{tabular}{c} 124.37 \\ 121.44 \\ 121.44 \\ \end{tabular}  & \ \begin{tabular}{c} 47.30 \\ 47.01 \\ 47.01 \\ \end{tabular}  & \begin{tabular}{c} 2.63 \\ 2.58 \\ \end{tabular}  \\ \hline
65 & \begin{tabular}{c} GB33-09 \\ GB33-10 \\ \end{tabular}  & \begin{tabular}{c} 121.45 \\ 123.96 \\ \end{tabular}  & \begin{tabular}{c} 47.42 \\ 47.31 \\ 47.31 \\ \end{tabular}  & \begin{tabular}{c} 2.56 \\ 2.62 \\ 2.62 \\ \end{tabular}  & \begin{tabular}{c} 121.83 \\ 124.24 \\ \end{tabular}  & \ \begin{tabular}{c} 47.48 \\ 47.33 \\ 47.33 \\ \end{tabular}  & \begin{tabular}{c} 2.57 \\ 2.62 \\ 2.62 \\ \end{tabular}  \\ \hline
75 & \begin{tabular}{c} GB33-11 \\ GB33-11 \\ GB33-12 \\ \end{tabular}  & \begin{tabular}{c} 123.76 \\ 124.21 \\ 124.12 \\ \end{tabular}  & \begin{tabular}{c} 47.41 \\ 47.51 \\ 47.51 \\ \end{tabular}  & \begin{tabular}{c} 2.61 \\ 2.61 \\ 2.61 \\ \end{tabular}  & \ \begin{tabular}{c} 124.41 \\ 124.45 \\ 124.45 \\ \end{tabular}  & \begin{tabular}{c} 47.62 \\ 47.62 \\ 2.61 \\ \end{tabular}  \\ \hline
85 & \begin{tabular}{c} GB33-13 \\ GB33-14 \\ \end{tabular}  &