## 4 Simulation of Stress and Strain Fields
More detailed information about these earthquakes, including information about the focal mechanism, is presented in Table 1. Epicenter locations are shown in Figure 3. Numbers of earthquakes in Figure 3 correspond to the ones in Table 1.  
Figure 2: Schematic representation of an additional coordinate system centered at the earthquake epicenter (asterisk). The dotted line is the projection of the fault plane onto the Earth’s surface (\(z=0\)). \begin{table}
\begin{tabular}{c c c c c c c c c c} \hline \hline
**No** & **Date, Time** & \begin{tabular}{c} **Coordinates** \\ **of the** \\ **Epicenter** \\ \end{tabular} & **Depth, km** & **Mw** & \begin{tabular}{c} **Strike** \\ **Angle \({}^{1}\), \(\beta\)** \\ \end{tabular} & \begin{tabular}{c} **Dip** \\ **Angle \({}^{1}\), \(\alpha\)** \\ \end{tabular} & \
\begin{tabular}{c} **Angle of** \\ **Displace-** \\ **ment \({}^{1}\), \(\delta\)** \\ \end{tabular} &
\begin{tabular}{c} **Focal** \\ **Mechanism** \\ \end{tabular} \\ \hline
1 & \
\begin{tabular}{c} 1977/12/2, \\ 12.5722.6 \\ \end{tabular} &
\begin{tabular}{c} 52.32\({}^{\circ}\) N, \\ 160.48\({}^{\circ}\) E \\ \end{tabular} & 40.0 & 5.6 & 217 & 35 & 96 & \\ \hline
2 & \
\begin{tabular}{c} 1977/12/21, \\ 16.3940.9 \\ \end{tabular} &
\begin{tabular}{c} 52.60\({}^{\circ}\) N, \\ 160.52\({}^{\circ}\) E \\ \end{tabular} & 55.6 & 5.6 & 218 & 38 & 93 & \\ \hline
3 & \
\begin{tabular}{c} 1979/6/25, \\ 18.4557.2 \\ \end{tabular} &
\begin{tabular}{c} 52.68\({}^{\circ}\) N, \\ 160.06\({}^{\circ}\) E \\ \end{tabular} & 57.3 & 5.0 & 210 & 19 & 76 & \\ \hline
4 & \
\begin{tabular}{c} 1979/9/1, \\ 17.5459.9 \\ \end{tabular} &
\begin{tabular}{c} 52.86\({}^{\circ}\) N, \\ 160.66\({}^{\circ}\) E \\ \end{tabular} & 15.0 & 5.5 & 309 & 25 & \(-150\) & \\ \hline
5 & \
\begin{tabular}{c} 1980/1/23, \\ 1:5149.8 \\ \end{tabular} &
\begin{tabular}{c} 52.22\({}^{\circ}\) N, \\ 160.69\({}^{\circ}\) E \\ \end{tabular} & 20.3 & 5.8 & 213 & 26 & 86 & \\ \hline
6 & \
\begin{tabular}{c} 1980/1/23, \\ 2:34:17.6 \\ \end{tabular} &
\begin{tabular}{c} 52.25\({}^{\circ}\) N, \\ 160.79\({}^{\circ}\) E \\ \end{tabular} & 15.0 & 5.7 & 192 & 21 & 57 & \\ \hline
7 & \
\begin{tabular}{c} 1980/1/23, \\ 6:52:53.7 \\ \end{tabular} &
\begin{tabular}{c} 52.23\({}^{\circ}\) N, \\ 160.84\({}^{\circ}\) E \\ \end{tabular} & 19.6 & 5.5 & 216 & 28 & 90 & \\ \hline
8 & \
\begin{tabular}{c} 1980/1/23, \\ 8:12:31.6 \\ \end{tabular} &
\begin{tabular}{c} 52.23\({}^{\circ}\) N, \\ 160.65\({}^{\circ}\) E \\ \end{tabular} & 15.0 & 5.6 & 219 & 21 & 92 & \\ \hline
9 & \
\begin{tabular}{c} 1980/1/23, \\ 10:7:17.1 \\ \end{tabular} &
\begin{tabular}{c} 52.26\({}^{\circ}\) N, \\ 160.57\({}^{\circ}\) E \\ \end{tabular} & 17.2 & 5.2 & 205 & 22 & 77 & \\ \hline \hline \end{tabular}  
\end{table} 
Table 1: Data on nine small-focus earthquakes that occurred during the period from 1 January 1976 to 30 June 2022 in the area under the study (latitude interval: \([52^{\circ},53^{\circ}]\), longitude interval: \([160^{\circ},161^{\circ}]\)). Figure 3: Map of Kamchatka peninsula with location of earthquake epicenters presented in the CMT catalog and occurred during the period from 1 January 1976 to 30 June 2022 (black circles) in the area under the study and location of simulated earthquake epicenters (red squares). Location of earthquake epicenters are shown in scaled part of map. The black triangle on the map indicates the location of the Karymshina observation site. Only one of them (Earthquake No. 4 in Table 1) significantly differed in the orientation of the fault plane. All other earthquakes were very similar in these parameters. It was removed from the sample and the following statistical estimates of the orientation angles were obtained:  
\[\bar{\alpha}=211.25^{\circ},\ S(\alpha)=8.48^{\circ}, \tag{9}\] \[\bar{\beta}=26.25^{\circ},\ S(\beta)=6.55^{\circ},\] (10) \[\bar{\delta}=83.38^{\circ},\ S(\delta)=12.08^{\circ}, \tag{11}\]  
where \(\bar{\alpha},\bar{\beta},\bar{\delta}\) are average values of angles, \(S(\alpha),S(\beta),S(\delta)\) are standard deviations.