## 3 Results and Discussion
\begin{table}
\begin{tabular}{c c c c c c c} \hline \hline \multirow{2}{*}{**N**} & \multicolumn{4}{c}{**Right Bank of the Tributary**} & \multicolumn{4}{c}{**Left Bank of the Tributary**} \\ \cline{2-7}  & **X** & **Y** & **Chainage** & **X** & **Y** & **Chainage** \\ \hline
18 & 1284.1556 & 6119.3481 & 97,840.8694 & 1464.1425 & 6435.2147 & 97,840.8694 \\ \hline
19 & 1298.3335 & 6105.0460 & 97,900.0000 & 1537.0262 & 6374.5377 & 97,900.0000 \\ \hline
20 & 1612.3434 & 5829.8179 & 98,337.0200 & 1862.8740 & 6132.7683 & 98,337.0200 \\ \hline
21 & 1976.8939 & 5551.7149 & 98,806.1042 & 2216.3072 & 5907.3016 & 98,806.1042 \\ \hline
22 & 2593.5036 & 5195.8200 & 99,543.0004 & 2820.5979 & 5623.8459 & 99,543.2224 \\ \hline
23 & 2818.0427 & 5089.2436 & 99,800.0000 & 3036.1392 & 5543.6112 & 99,800.0000 \\ \hline
24 & 3111.1948 & 4949.0499 & 100,131.7700 & 3294.1444 & 5418.6725 & 100,131.7700 \\ \hline
25 & 3589.5703 & 4803.1260 & 100,642.0193 & 3715.3515 & 5291.1784 & 100,642.0193 \\ \hline
26 & 3926.3843 & 4731.5261 & 101,000.0000 & 4030.9664 & 5224.5561 & 101,000.0000 \\ \hline \hline \end{tabular}
\end{table} 
Table 3: _Cont._In floods, for river sections of different topologies, it is necessary to model the propagation of a flood wave. The area of maximum wave height (crest) usually moves at a lower speed compared to the wave front (see Figure 3). Figure 3 shows the sequence of propagation of the outflow wave (flood wave) along the river bed at different points in time. Figure 3a: a sharp peak in flow (\(\sim\)2000 m\({}^{3}\)/s) is observed at the beginning of the section (about 90-100 km). The maximum water level is observed in the initial zone, then gradually decreases downstream. In Figure 3b, the peak of the outflow wave flow has shifted downstream and has also become less pronounced (\(\sim\)1400 m\({}^{3}\)/s), demonstrating the transformation of the wave. Water levels continue to decrease, but the zone of maximum rise has also shifted downstream. In Figure 3c, further movement of the wave downstream is observed, the peak flow rate is already lower (\(\sim\)900 m\({}^{3}\)/s), and the wave shape has smoothed out and decreased significantly. The zone of maximum levels continues to gradually move further downstream, clearly demonstrating the attenuation of the wave. In Figure 3d, the flood wave has weakened significantly (flow rate does not exceed \(\sim\)400 m\({}^{3}\)/s). Maximum water levels have noticeably decreased and leveled out, and the distribution of levels has become more uniform. In Figure 3e, the flood wave has almost completely weakened (the flow rate is minimal, less than \(\sim\)200 m\({}^{3}\)/s). The water level has almost returned to its original values, and the wave has completed its process of attenuation and transformation. Wave propagation includes various phases, each characterized by changing wave speeds and behaviors. The rear part of the wave, or wave tail, moves more slowly than the crest and the initial wave front. Due to the difference in speeds of these characteristic points, the wave gradually lengthens along the river bed. Accordingly, a decrease in wave height and an increase in its travel time are observed. The lengthening of the wave depends on its height, the slope of the river, the geometry of the  
Figure 2: Modeling of the Kurchum River section. 1—right bank of the Maralikha River; 2—left bank of the Maralikha River; 3—right bank before the confluence of the Kurchum River; 4—right bank after the confluence of the Kurchum River; 5—right bank after the confluence of the Kurchum River; 6—left bank of the Kurchum River before the break point; 7—left bank of the Kurchum River. channel and floodplain, and the roughness of the river bottom. In some areas, especially where the shape or slope of the channel changes sharply, a temporary acceleration of the wave crest can be observed, which leads to its \"skewing\" when the rise phase is relatively shorter than the decline phase. Figure 3: _Cont._  
The formation of a flood zone is a key aspect of dam failure events (see Figure 4).