# Comparative Study of the Seismic Response Characteristics of Three Special Soils
## 2 Materials and Methods
### Establishment of the Soil Profile at the Actual Sites
\begin{table}
\begin{tabular}{c c c c c c c c c c} \hline \hline \multirow{2}{*}{**Soil Number**} & \multirow{2}{*}{**Parameter**} & \multicolumn{8}{c}{**Shear Strain (\(\times\)10\({}^{-4}\))**} \\ \cline{3-10}  & & **0.05** & **0.1** & **0.5** & **1** & **5** & **10** & **50** & **100** \\ \hline \multirow{3}{*}{T1} & G/Gmax & 0.9963 & 0.9926 & 0.9639 & 0.9303 & 0.7275 & 0.5717 & 0.2107 & 0.1178 \\  & \(\lambda\) & 0.0226 & 0.0313 & 0.0544 & 0.0685 & 0.1104 & 0.1293 & 0.1602 & 0.1665 \\  & \(\lambda\) & 0.9966 & 0.9933 & 0.9674 & 0.9368 & 0.7477 & 0.5971 & 0.2286 & 0.1291 \\  & \(\lambda\) & 0.0436 & 0.0534 & 0.0848 & 0.1028 & 0.1541 & 0.1767 & 0.2136 & 0.2214 \\  & \(\lambda\) & 0.0194 & 0.0253 & 0.0464 & 0.0597 & 0.1002 & 0.1187 & 0.1486 & 0.1547 \\  & \(\lambda\) & 0.0982 & 0.9965 & 0.9826 & 0.9658 & 0.8495 & 0.7383 & 0.3607 & 0.2201 \\  & \(\lambda\) & 0.0265 & 0.0332 & 0.0560 & 0.0699 & 0.1135 & 0.1360 & 0.1822 & 0.1944 \\  & \(\lambda\) & 0.9962 & 0.9924 & 0.9633 & 0.9293 & 0.7243 & 0.5678 & 0.2081 & 0.1161 \\  & \(\lambda\) & 0.0156 & 0.0265 & 0.0475 & 0.0606 & 0.1001 & 0.1182 & 0.1479 & 0.1540 \\  & \(\lambda\) & 0.9966 & 0.9932 & 0.9670 & 0.9061 & 0.7256 & 0.5344 & 0.2266 & 0.1278 \\  & \(\lambda\) & 0.0246 & 0.0314 & 0.0550 & 0.0674 & 0.1131 & 0.1334 & 0.1676 & 0.1748 \\  & \(\lambda\) & 0.0961 & 0.9923 & 0.9628 & 0.9282 & 0.6813 & 0.5085 & 0.2055 & 0.1145 \\  & \(\lambda\) & 0.0187 & 0.0247 & 0.0470 & 0.0613 & 0.1064 & 0.1276 & 0.1628 & 0.1750 \\ \hline \hline \end{tabular}
\end{table} 
Table 7: The list of the dynamic shear modulus ratio and damping ratio of each soil layer in the seismic response analysis model of the Haiyuan area. \begin{table}
\begin{tabular}{c c c c c c c c c c} \hline \hline \multirow{2}{*}{**Soil Number**} & \multirow{2}{*}{**Parameter**} & \multicolumn{8}{c}{**Shear Strain (\(\times\)10\({}^{-4}\))**} \\ \cline{3-10}  & & **0.05** & **0.1** & **0.5** & **1** & **5** & **10** & **50** & **100** \\ \hline \multirow{3}{*}{H1} & G/Gmax & 0.9600 & 0.9500 & 0.8000 & 0.7000 & 0.3000 & 0.2000 & 0.1500 & 0.1000 \\  & \(\lambda\) & 0.0250 & 0.0280 & 0.0300 & 0.0350 & 0.0800 & 0.1000 & 0.1100 & 0.1200 \\  & \(\lambda\) & 0.9931 & 0.9862 & 0.9352 & 0.8790 & 0.6005 & 0.4336 & 0.1362 & 0.0735 \\  & \(\lambda\) & 0.0119 & 0.0163 & 0.0334 & 0.0449 & 0.0802 & 0.0952 & 0.1172 & 0.1213 \\  & \(\mathrm{G}\)/Gmax & 1.0000 & 1.0000 & 1.0000 & 1.0000 & 1.0000 & 1.0000 & 1.0000 & 1.0000 \\ Bedrock & \(\lambda\) & 0.0500 & 0.0500 & 0.0500 & 0.0500 & 0.0500 & 0.0500 & 0.0500 & 0.0500 \\ \hline \hline \end{tabular}
\end{table} 
Table 8: The list of the dynamic shear modulus ratio and damping ratio of each soil layer in the seismic response analysis model of the Liuzhou area. \begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline \multirow{2}{*}{**Soil Number**} & \multirow{2}{*}{**Parameter**} & \multicolumn{8}{c}{**Shear Strain (\(\times\)10\({}^{-4}\))**} \\ \cline{3-10}  & & **0.05** & **0.1** & **0.5** & **1** & **5** & **10** & **50** & **100** \\ \hline \multirow{3}{*}{L1} & G/Gmax & 0.9600 & 0.9500 & 0.8000 & 0.7000 & 0.3000 & 0.2000 & 0.1500 & 0.1000 \\  & \(\lambda\) & 0.0250 & 0.0280 & 0.0300 & 0.0350 & 0.0800 & 0.1000 & 0.1100 & 0.1200 \\  & \(\mathrm{G}\)/Gmax & 0.9931 & 0.9862 & 0.9352 & 0.8790 & 0.6005 & 0.4336 & 0.1362 & 0.0735 \\  & \(\lambda\) & 0.0119 & 0.0163 & 0.0334 & 0.0449 & 0.0802 & 0.0952 & 0.1172 & 0.1213 \\  & \(\mathrm{G}\)/Gmax & 1.0000 & 1.0000 & 1.0000 & 1.0000 & 1.0000 & 1.0000 & 1.0000 & 1.0000 \\ Bedrock & \(\lambda\) & 0.0500 & 0.0500 & 0.0500 & 0.0500 & 0.0500 & 0.0500 & 0.0500 & 0.0500 \\ \hline \hline \end{tabular}
\end{table} 
Table 8: The list of the dynamic shear modulus ratio and damping ratio of each soil layer in the seismic response analysis model of the Liuzhou area.