## 1 Introduction
The rapid development of the finite element method (FEM) has provided an efficient means of numerical simulation for complex engineering problems, thereby avoiding the high cost and long cycle time associated with experimental methods [15]. Furthermore, computational fluid dynamics (CFD) technology has become a crucial tool for the analysis of fluid processes, particularly in situations where experimental measurements are unattainable due to various constraints that hinder their implementation. For example, [PERSON] [16] used CFD to study ocular aqueous humor flow in the anterior chamber by inserting an Ahmed Glaucoma Valve and provided promising insights into improving patient prognosis and safety in glaucoma treatment. The response surface method offers the advantages of requiring fewer experiments and shorter cycle times [15; 17]. It also demonstrates superior accuracy and convenience in comparison to alternative experimental methodologies [18]. Scholars in the field have utilized the response surface method to optimize the design of nozzle jet parameters by conducting numerical simulations on the hydrodynamic characteristics of water jet nozzles. In 2020, [PERSON] [19] employed an orthogonal experimental design approach to optimize water jet nozzle geometry, aiming to maximize cutting capacity and minimize erosion rate. In 2017, [PERSON] [20] examined the impact of various nozzle structures on flow field characteristics. In 2024, [PERSON] [21] utilized an orthogonal experimental approach to determine the optimal parameters for nozzle structure and compared the cleaning effectiveness of different jet pressures and target distances on adherent compounds on car body surfaces. The author obtained three sets of pressure values of high-pressure water injection speed than before the optimization increased by 2%, while the input pressure was 10 MPa and the target distance 250 mm; the cleaning results were enhanced. In 2019, [PERSON] [22] employed an orthogonal experimental design, numerical simulation, and water jet impingement testing to identify the optimal parameters for conical nozzles. However, it is evident from the review of the existing literature that previous scholars have not investigated the impact of multifactorial cleaning and decontamination indices on the adherence of contaminants to the surfaces within walking track gaps. This research examined the adherent substrate located between the walking tracks of mining trucks as its primary subject of investigation. By combining the response surface and finite element methods, one can ascertain whether the parameter combination that has the biggest impact on the response value can be found within the range of values of the three influencing factors by analyzing the influence of each optimization variable on the pressure of the jet striking the crawler teeth. This allows one to determine the best combination of parameter values. The proposed design serves as a systematic framework for parameter optimization in the cleaning and decontamination process, and the research method and results provide theoretical references for the optimal design of mining truck desorption efficiency, which is critical for increasing mining efficiency and lowering energy consumption.