## 4 Conclusions  
This research employed numerical simulation and response surface analysis to investigate the impact of jet pressure, jet target distance, and impact angle on the efficacy of cleaning and decontamination processes for mining vehicles. The research focused on enhancing the performance of a water jet on a track for mining vehicles operating on soft-bottom substrates in deep-seabed environments. The study also optimized the influential parameters to improve overall performance. The optimal combination of parameters studied has far-reaching implications for water jet decontamination technology, which not only significantly improves the effectiveness and efficiency of decontaminating deposits on the surface of moving track teeth, but also plays an important role in promoting economic and environmental sustainability. Furthermore, this study presents a novel theoretical foundation for the development of water jet decontamination technology for deep-sea mining vehicles, as well as a practical solution with a high efficiency and low cost, which has significant implications for resource conservation and environmental protection. The main conclusions are as follows:  
1. The experimental scheme and response values were obtained under different parameter conditions through response surface design and numerical simulation methods. The experimental results were statistically analyzed using Design Expert software. Additionally, a numerical model describing the influence of the affected parameters on the pressure of the jet striking track teeth was successfully established using the theory of least squares.
2. The ANOVA results and response surface plots indicate that the three factors have varying degrees of impact on the cleaning and decontamination performance of high-pressure water jets. Specifically, the jet pressure and jet target distance have a highly significant effect on the pressure of the jet's striking track teeth, while the jet angle also has a significant effect. Furthermore, there is an interaction between the factors, particularly between jet pressure and jet target distance, as well as between jet pressure and jet angle, which has a substantial impact on the pressure exerted by the jet on the track teeth.  
3. The optimal test parameters for evaluating the efficacy of water jet cleaning and decontamination performance on the track are identified as an injection pressure of 0.983 MPa, a target distance of 0.14 m, and an impact angle of 89.5\({}^{\circ}\). The independent variable in this study was chosen based on the real length of the tracking teeth of deep-sea mining vehicles, but due to the limited sample size, a comprehensive data analysis was not conducted. The response surface methodology did not fully consider the variable influencing factors in the study. When simulating the effect of influencing factors on track scouring at 5000 m in the deep sea, the extreme environmental conditions and a lack of relevant data in the literature may result in relative mistakes. Future research will investigate the effect of nozzle shape in optimizing the cleaning efficiency of water jets and confirm this experimentally to greatly enhance the decontamination performance and optimize experimental results.  
Conceptualization, X.Q. and M.W.; Writing--review and editing, X.Q. and M.W.; Methodology, X.Q. and M.W. Project administration, B.C. and Y.A. Investigation, B.C. and Y.A. All authors have read and agreed to the published version of the manuscript.  
This research received no external funding.  
Not applicable.  
The data presented in this study are available on request from the corresponding author.  
Authors [PERSON] and [PERSON] were employed by the company Changsha Institute of Mining Research Co., Ltd. The remaining authors declare that the re-search was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.