# Comparative Study of the Seismic Response Characteristics of Three Special Soils
## 5 Calculation Results and Analysis
### Analysis of the Calculation Results of the Actual Soil Profiles
\begin{table}
\begin{tabular}{c c c c c c c c c c} \hline \hline  & **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}{*}{Measured Value} & G/G\({}_{\text{max}}\) & 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 \\  & \(\text{G}/\text{G}_{\text{max}}\) & 0.9990 & 0.9980 & 0.9890 & 0.9770 & 0.8960 & 0.8120 & 0.4630 & 0.3010 \\  & \(\lambda\) & 0.0252 & 0.0349 & 0.0718 & 0.0936 & 0.1596 & 0.1855 & 0.2350 & 0.2540 \\  & \(\text{G}/\text{G}_{\text{max}}\) & 0.9934 & 0.9865 & 0.9372 & 0.8844 & 0.6354 & 0.4878 & 0.1863 & 0.1083 \\  & \(\lambda\) & 0.0117 & 0.0150 & 0.0297 & 0.0411 & 0.0827 & 0.1046 & 0.1453 & 0.1555 \\  & \(\text{G}/\text{G}_{\text{max}}\) & 0.9800 & 0.9600 & 0.8250 & 0.7100 & 0.3200 & 0.2000 & 0.0493 & 0.0250 \\  & \(\lambda\) & 0.0002 & 0.0005 & 0.0028 & 0.0058 & 0.0267 & 0.0457 & 0.0740 & 0.0754 \\ \hline \hline \end{tabular}
\end{table} 
Table 13: List of values for dynamic shear modulus ratio and damping ratio of laterite. \begin{table}
\begin{tabular}{c c c c c c c c c c} \hline \hline  & **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}{*}{Measured Value} & G/G\({}_{\text{max}}\) & 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 \\  & \(\text{G}/\text{G}_{\text{max}}\) & 0.9978 & 0.9956 & 0.9787 & 0.9583 & 0.8229 & 0.7010 & 0.3251 & 0.1955 \\  & \(\lambda\) & 0.0658 & 0.0742 & 0.0996 & 0.1136 & 0.1672 & 0.1868 & 0.2245 & 0.2330 \\  & \(\text{G}/\text{G}_{\text{max}}\) & 0.9959 & 0.9919 & 0.9611 & 0.9257 & 0.7218 & 0.5704 & 0.2192 & 0.1227 \\  & \(\lambda\) & 0.0368 & 0.0453 & 0.0734 & 0.0901 & 0.1358 & 0.1562 & 0.1879 & 0.1957 \\  & \(\text{G}/\text{G}_{\text{max}}\) & 0.9878 & 0.9758 & 0.8897 & 0.8013 & 0.4455 & 0.2874 & 0.0747 & 0.0388 \\  & \(\lambda\) & 0.0151 & 0.0201 & 0.0385 & 0.0506 & 0.0904 & 0.1108 & 0.1490 & 0.1572 \\ \hline \hline \end{tabular}
\end{table} 
Table 11: List of values for dynamic shear modulus ratio and damping ratio of clay. values obtained from the various dynamic parameters of the soft soil is small, mostly between \(-5\%\) and \(3\%\). When the input ground motion intensity is \(0.2\) g and \(0.4\) g, when the kinetic parameters of silty clay are taken as the minimum, the calculated platform value of the design response spectrum is quite different from the measured platform value, with deviations of \(-16\%\) and \(-17\%\), respectively; for loess, the platform value deviates mostly between \(-10\%\) and \(10\%\); finally, the design response spectrum platform value of red clay fluctuates greatly, where the absolute range of the deviation obtained from different kinetic parameters is \(0\)-\(24\%\). When the ground motion intensity is \(0.2\) g and the dynamic parameters are the maxima, the calculated platform value of the design response spectrum is different from the actual measured platform value, and the deviation is \(-24\%\). (3) When the dynamic parameter values are different, the peak accelerations of the three special soils have only small differences, with deviations mostly between \(-10\%\) and \(10\%\), and the difference between the peak accelerations of the silty clay is the smallest (the deviation is between \(-1\%\) and \(3\%\)). The maximum deviation occurs on the plane surface of the soft soil layer. When the input ground motion intensity is \(0.05\) g and \(0.2\) g and the silty clay dynamic parameters are set to the minima, the calculated peak acceleration is quite different from the measured peak acceleration, and the deviations are \(14\%\) and \(11\%\), respectively.