## 4 Numerical Study
\begin{table}
\begin{tabular}{c c c c c c} \hline \hline
**Adjacent Models** & **Kocaeli** & **Kobe** & **Parkfield** & **El Centro** & **San Fernando** \\ \hline \multirow{6}{*}{B\({}_{1}\)} & B\({}_{1}\) & 51.17 & 12.95 & 43.58 & 19.71 & 23.82 \\  & B\({}_{2}\) & 47.82 & 13.86 & 34.00 & 18.03 & 21.29 \\ \cline{1-1}  & B\({}_{3}\) & 41.68 & 11.15 & 33.70 & 15.78 & 17.35 \\ \cline{1-1}  & B\({}_{4}\) & 41.20 & 11.14 & 34.34 & 16.01 & 17.10 \\ \cline{1-1}  & B\({}_{5}\) & 37.52 & 11.40 & 31.90 & 15.37 & 17.21 \\ \cline{1-1} \cline{2-6}  & B\({}_{1}\) & 47.82 & 13.86 & 34.00 & 18.03 & 21.29 \\ \cline{1-1}  & B\({}_{2}\) & 44.22 & 14.71 & 20.44 & 16.16 & 18.43 \\ \cline{1-1} \cline{2-6} B\({}_{2}\) & B\({}_{3}\) & 37.50 & 12.19 & 19.93 & 13.62 & 13.68 \\ \cline{1-1}  & B\({}_{4}\) & 36.96 & 12.18 & 20.99 & 13.88 & 13.36 \\ \cline{1-1}  & B\({}_{5}\) & 32.81 & 12.42 & 16.71 & 13.14 & 13.50 \\ \hline \hline \end{tabular}
\end{table} 
Table 4: Calculated separation distance for different models under various ground motions (cm). \begin{table}
\begin{tabular}{c c c c c c} \hline \hline
**Earthquake** & **Date** & **Magnitude** & **Station** & **Component** &
\begin{tabular}{c} **PGA** \\ **(cm/s\({}^{2}\))** \\ \end{tabular} \\ \hline Kocaeli & 17.08.1999 & 7.6 & Sakarya & EW & 369.28 \\ Kobe & 17.01.1995 & 7.2 & JMA (Kobe) & NS & 817.82 \\ Parkfield & 28.06.1966 & 6.2 & Jennings (CG) & NS & 462.00 \\ El Centro & 18.05.1940 & 6.9 & El Centro & NS & 307.00 \\ San Fernando & 09.02.1971 & 6.6 & Pacoima Dam & N16\({}^{o}\)W & 1202.62 \\ \hline \hline \end{tabular}
\end{table} 
Table 2: Ground motion records used in the analysis. \begin{table}
\begin{tabular}{c c c c c c} \hline \hline
**Model** & **Kocaeli** & **Kobe** & **Parkfield** & **El Centro** & **San Fernando** \\ \hline B\({}_{1}\) & 36.18 & 9.16 & 30.78 & 13.94 & 16.84 \\ B\({}_{2}\) & 31.27 & 10.4 & 14.45 & 11.43 & 13.03 \\ B\({}_{3}\) & 20.70 & 6.35 & 13.73 & 7.40 & 4.17 \\ B\({}_{4}\) & 19.71 & 6.34 & 15.22 & 7.87 & 2.95 \\ B\({}_{5}\) & 9.94 & 6.79 & 8.39 \begin{table}
\begin{tabular}{c c c c c c c} \hline \hline
**Adjacent Models** & **Kocaeli** & **Kobe** & **Parkfield** & **El Centro** & **San Fernando** \\ \hline \multirow{4}{*}{B\({}_{1}\)} & B\({}_{1}\) & 41.68 & 11.15 & 33.70 & 15.78 & 17.35 \\  & B\({}_{2}\) & 37.50 & 12.19 & 19.93 & 13.62 & 13.68 \\  & B\({}_{3}\) & 29.27 & 8.98 & 19.42 & 10.47 & 5.90 \\  & B\({}_{4}\) & 28.58 & 8.97 & 20.50 & 10.80 & 5.11 \\  & B\({}_{5}\) & 22.96 & 9.30 & 16.09 & 9.84 & 5.47 \\ \cline{2-6}  & B\({}_{1}\) & 41.20 & 11.14 & 34.34 & 16.01 & 17.10 \\  & B\({}_{2}\) & 36.96 & 12.18 & 20.99 & 13.88 & 13.36 \\  & B\({}_{3}\) & 28.58 & 8.97 & 20.50 & 10.80 & 5.11 \\  & B\({}_{4}\) & 27.87 & 8.97 & 21.52 & 11.13 & 4.17 \\  & B\({}_{5}\) & 22.07 & 9.29 & 17.38 & 10.19 & 4.61 \\ \cline{2-6}  & B\({}_{1}\) & 37.52 & 11.40 & 31.90 & 15.37 & 17.21 \\  & B\({}_{2}\) & 32.81 & 12.42 & 16.71 & 13.14 & 13.50 \\ \cline{2-6}  & B\({}_{3}\) & 22.96 & 9.30 & 16.09 & 9.84 & 5.47 \\  & B\({}_{4}\) & 22.07 & 9.29 & 17.38 & 10.19 & 4.61 \\  & B\({}_{5}\) & 14.06 & 9.60 & 11.87 & 9.16 & 5.01 \\ \hline \hline \end{tabular}
\end{table} 
Table 4: \(Cont.\)  
\begin{table}
\begin{tabular}{c c c c c c c} \hline \hline
**Adjacent Models** & **Kocaeli** & **Kobe** & **Parkfield** & **El Centro** & **San Fernando** \\ \hline \multirow{4}{*}{B\({}_{1}\)} & B\({}_{1}\) & 0 & 0 & 0 & 0 \\  & B\({}_{2}\) & 46.40 & 13.20 & 33.40 & 17.45 & 21.03 \\  & B\({}_{3}\) & 41.05 & 10.86 & 33.25 & 15.34 & 16.97 \\  & B\({}_{4}\) &