## 7 Conclusions  
This paper focuses on the engineering conditions of the Anhui MaGang Zhongjiu Iron Mine. This study applies [PERSON]'s law equations to analyze the seepage flows of slurry water in a porous medium. It also utilizes Navier-Stokes equations to study the laminar two-phase flow theory coupled with the horizontal set function. With COMSOL Multiphysics, a program for coupled multiphysics field analysis, the formation effect of single-hole and group-hole grouting curtain bodies and the numerical modeling of the slurry plane diffusion law in the ore-rock contact zone were completed. By analyzing the simulation results, two methods to optimize the grouting parameters of group holes are proposed and verified using numerical simulations. Ultimately, the findings of this research are applied to a specific project. The following primary findings were obtained:  
The results indicate that as the grouting rate increases and the water pressure decreases, the thickness of the curtain body increases, and the surface morphology becomes smoother. The curtain body in the contact zone between the front and rear surfaces fits well together, forming a cohesive unit. In the contact zone between the ore and rock, the spread of the slurry is significantly influenced by gravity, with a tendency for the slurry to diffuse downward. This tendency increases as the grouting rate increases. Increasing the grouting rate effectively addresses the issue of insufficient slurry spread. To address the issue of inadequate slurry spreading, one can either increase the rate at which grouting is performed or decrease the distance between the grouting holes. In this project, a total of 10 drill holes were set up with an arrangement based on the section's shape. Holes 1 to 8 were designated as grouting holes, while holes 9 and 10 were designated as inspection holes. The exploratory holes discharged less than 1 m\({}^{3}\)/h of water after grouting, indicating the formation of an effective grouting curtain. This grouting curtain successfully prevented water leakage.  
This work presents a study on the application of overtopping curtain grouting in the mineral-rock contact zone in a water-rich environment. This research has yielded certain outcomes, but it is important to acknowledge its limits. Several academics have already proposed a more precise model of clayey soil material in their research [22; 23]. Utilizing a more exact ontological model can facilitate more comprehensive research in future articles. Furthermore, our study reveals that the slurry in the contact zone exhibits a propensity to descend as a result of gravity. Exploring ways to harness this downward movement to enhance grouting efficiency is a promising avenue for further research.  
Conceptualization, B.K.; methodology, J.Z.; software, B.K.; resources, L.H.; data curation, B.K.; writing--original draft preparation, B.K.; writing--review and editing, L.H.; funding acquisition, L.H. All authors have read and agreed to the published version of the manuscript. This research received no external funding. This research received no external funding. Not applicable. Not applicable. Not applicable.  
Data Availability Statement: The original contributions presented in the study are included in the article, and further inquiries can be directed to the corresponding author.  
The authors declare no conflicts of interest.