# Study on the Optimization of Pile Length of Micropiles in Soil Landslides
## 3 Results and Discussion  
In this study, the design calculation method of a miniature pile and the optimization method of pile length are investigated comprehensively, and the algorithm of the miniature pile and pile length are optimized and improved by using numerical simulation modeling. (1) Based on the load sharing theory and elastic foundation beam theory, the micropile calculation method of \"whole to local split calculation\" is summarized, the finite difference \begin{table}
\begin{tabular}{c c c c c c} \hline \hline
**Number of Calculations** & **1** & **2** & **3** & **4** & **5** \\ \hline Pile length (m) & 18 & 10 & 14 & 16 & 15 \\ Safety factor & 1.43 & 1.11 & 1.39 & 1.43 & 1.41 \\ \hline \hline \end{tabular}
\end{table} 
Table 8: List of optimization results. Figure 10: Calculation of shear force at optimum pile length. Figure 9: Calculation results of bending moment at optimal pile length. solution method for programming calculation is derived, the calculation formula is derived, and the calculation process is programmed. (2) Based on the theoretical calculation results of the minipile, a mathematical model for pile length optimization was established, and numerical simulation using numerical simulation software was used for the optimization solution. The process is solved by programming numerical simulation fast modeling, automatic creation of optimization commands, and optimization result output analysis modules. (3) According to the proposed minipile calculation method and optimization method, a specific analysis is carried out for an engineering example, and a series of studies, such as minipile design calculation and pile length optimization for this project, were completed. The engineering feasibility of the proposed minipile design calculation and optimization method has been demonstrated through practical application. The optimization process incorporates innovative ideas and implementation modules, which can serve as a reference for similar geotechnical engineering structure optimization problems. (4) For this experiment, we have chosen to illustrate the problem with a general typical form of landslide, and the same applies to special cases, which we have considered in the modeling process. Moreover, this test is only applicable to the initial fast and flexible management of small landslides and is not applicable to large landslides, applying anti-slip piles and multi-row anti-slip pile management systems. (5) In this study, the optimization calculation process, although the design variables as the geometric parameters of the structure body, but in the calculation process is the whole system (miniature piles and landslide body constitute the overall structure) to calculate the realization, to carry out the structural calculation is based on the relevant Chinese norms, fully taking into account the interaction between the piles and the landslide body influence. The safety and stability coefficients obtained from the calculations are not those of the piles themselves but those of the system environment. (6) Due to the complexity of the miniature anti-slip pile governance system, the optimization model research body of literature is relatively small, the mainstream of the so-called optimization method for the list of individual methods and similar research results for comparison, the optimization method in this study is the optimization algorithm of the model, where the parameters and so on are derived from the calculation of the formula. Mainstream-related optimization results and costs can not be directly compared with the text of this research study's results, so it needs to be followed by further research studies. Writing--original draft preparation, H.C.; writing--review and editing, G.S., J.D., H.W., R.X., Y.H., W.Y. and G.W. ; data curation, G.W. and J.D. ; software, H.W. and W.Y. ; methodology, R.X. ; Conceptualization, Y.H. ; supervision, Y.H. ; formal analysis, W.Y. ;validation, G.W. ;All authors have read and agreed to the published version of the manuscript.