Numerical Simulation Study on Through-Anchor Cable Reinforcement Control of Inter-Roadway Coal Pillars in Double-Roadway Layouts

Round 1

Reviewer 1 Report

Comments and Suggestions for Authors

The article contains interesting numerical studies on determining the stress state and deformation of a pillar between two workings for underground mining of hard coal deposits. The presented results are scientifically interesting and may be helpful at the design stage of selecting a support to secure the workings. Below are a few minor comments and suggestions:
1. In the introduction, please add information that in conditions of complex tensile and shear loads, one of the best technological solutions is the use of cable anchors, which are characterized by high flexibility (doi:10.3390/app13031326);
2. At the beginning of the second chapter, a few introductory sentences should be presented first, and only then should a Figure be placed. In addition, please expand on the information on natural hazards occurring in the considered area;
3. For Table 1, units should be added. In addition, in particular for Capacity - please explain what it refers to and what unit it has;
4. In the third chapter, please write what constitutive model was used and whether the mining support was modeled - if so, please add information about their parameters; 5. In the fourth chapter, please add the technical characteristics of the yielding component: dimensions, material, operating principle;
6. In the subsection 5.2.2, please add two/three sentences regarding the ranges in meters, the plastic zone around the workings;
7. In the sixth chapter, please add several literature items in which cable anchor was used to strengthen the pillar between the workings - so that the results constitute a form of discussion;
8. In the conclusions, please add two statements regarding the advantages and difficulties in securing coal pillars with cable anchor support in in situ conditions.

Author Response

Note on the revision of "Numerical Simulation Study on Through-Anchor Cable Reinforcement Control of Inter-Roadway Coal Pillars in Double Roadway Layouts"

Greetings to the esteemed editor:

Thank you very much for your valuable revisions, which are essential for improving the quality of the manuscript. The following are the detailed revision instructions for the manuscript.

1. In the introduction, please add information that in conditions of complex tensile and shear loads, one of the best technological solutions is the use of cable anchors, which are characterized by high flexibility (doi:10.3390/app13031326);

A: This part of the manuscript has been revised.Added one of the best technological solutions is the use of cable anchors, which are characterized by high flexibility.

2. At the beginning of the second chapter, a few introductory sentences should be presented first, and only then should a Figure be placed. In addition, please expand on the information on natural hazards occurring in the considered area;

A:Thank you for your suggestion. The Jinjitan Coal Mine is located in Yulin City, Shaanxi Province, China, as shown in Figure 1.The 12-2 upper 113 and 111 working faces currently being mined at the Jinjiatan Coal Mine (hereinafter referred to as the "113 and 111 working faces") are part of the longwall faces in the east wing of the mine's No. 1 panel area.The working face has an inclined length of 300 meters and a strike length of 4847.6 meters. It primarily recovers the 2-2 and 2-2 upper coal seams, with a thickness range of 8.3 to 12.2 meters and an average thickness of 10.25 meters.

Figure 1. Geographical Location Map of Jinjitan Coal Mine

3. For Table 1, units should be added. In addition, in particular for Capacity - please explain what it refers to and what unit it has;

A: This part of the manuscript has been revised:Capacity（kN/m³）.

4. In the third chapter, please write what constitutive model was used and whether the mining support was modeled - if so, please add information about their parameters; 5. In the fourth chapter, please add the technical characteristics of the yielding component: dimensions, material, operating principle;

A:Thank you for your suggestion. My revisions：Based on the geological conditions and lithological characteristics obtained from borehole logs, a numerical simulation model was established using FLAC3D software to accurately represent the geological features of the working face. The model incorporates distinct rock strata, each assigned with corresponding physical parameters based on field data. The gravitational acceleration was set at 9.8 m/s², and the Mohr-Coulomb constitutive model was adopted for material characterization. The physical and mechanical parameters of various rock strata in the coal seam, as derived from borehole data, are presented in Table 1.

6. In the subsection 5.2.2, please add two/three sentences regarding the ranges in meters, the plastic zone around the workings;

A:Thank you for your suggestion. My revisions：The most unfavorable shear and tensile-controlled plastic zone near the free face transforms into a shear plastic zone under the triaxial stress state, The shear plastic zone is 2.5~2.8m on each side of the left and right sides,which contributes to the overall stability of the coal pillar, as shown in Figure 13.

7. In the sixth chapter, please add several literature items in which cable anchor was used to strengthen the pillar between the workings - so that the results constitute a form of discussion;

A：Thank you for your suggestion. My revisions：This study introduces a significant advancement in narrow coal pillar reinforcement by implementing a novel approach in FLAC3D modeling. Unlike conventional through-type reinforcement methods previously reported [30-32], our methodology integrates two innovative technologies: the Negative Poisson's Ratio (NPR) constant-resistance large deformation anchor cable system for energy absorption and the yield-absorbing anchor cable technology. This integrated approach enables active control of theoretical and technical parameters, effectively preventing and mitigating potential disasters. The implementation of this system has demonstrated remarkable improvements, not only significantly enhancing coal recovery rates but also effectively addressing the longstanding challenge of narrow coal pillar stability. The successful application of this methodology provides valuable insights and serves as a reference for similar mining operations worldwide.

[30]Li, J.; Chen, S.; Yu, F.; Jiang, L. Reinforcement Mechanism and Optimisation of Reinforcement Approach of a High and Steep Slope Using Prestressed Anchor Cables. Sci. 2020, 10, 266.

[31]Li, L.; Qian, D.; Yang, X.; Jiao, H. Pressure Relief and Bolt Grouting Reinforcement and Width Optimization of Narrow Coal Pillar for Goaf-Side Entry Driving in Deep Thick Coal Seam: A Case Study.Minerals 2022,12,1292.

[32]Yang, S.; Wang, J.; Ning, J.; Qiu, P. Experimental Study on Mechanical Properties, Failure Behavior and Energy Evolution of Different Coal-Rock Combined Specimens. Sci. 2019, 9, 4427.

8. In the conclusions, please add two statements regarding the advantages and difficulties in securing coal pillars with cable anchor support in in situ conditions.

A:Thank you for your suggestion.My revisions：（4）The innovative cross-penetration reinforcement system utilizing Negative Poisson's Ratio (NPR) constant-resistance large deformation anchor cables combined with yield-absorbing anchor cables demonstrates significant advantages: it effectively constrains the instability deformation of narrow coal pillars and enhances their overall load-bearing capacity, particularly showing remarkable performance in high-stress environments. However, this advanced technique presents certain implementation challenges, primarily the requirement for simultaneous reinforcement installation during roadway excavation, which necessitates precise coordination between excavation and support operations.

We hope that these revisions address your concerns and have strengthened the manuscript. We have also attached a marked-up version of the revised manuscript to this email to show you exactly what changes have been made.

Once again, we appreciate your insightful feedback and the time you have dedicated to reviewing our work. Please let us know if you have any further questions or concerns.

Sincerely,

Shunyu Xu

Author Response File: Author Response.pdf

Reviewer 2 Report

Comments and Suggestions for Authors

In this paper, the reinforcement control of coal pillars between the roadways in the layout of the double roadway reinforced by through anchor cable is studied. However, there are still some problems that need to be further improved in the verification of some conclusions and innovation:

(1) P. 2, Lines 45-47: "Studies have shown that the failure of narrow coal pillars can be categorized into two types: ultimate strength failure and progressive failure." It would be beneficial to include references to these studies or provide a brief overview of the methodologies used in these studies.

(2) P. 3, Lines 85-87: "This study selects the 113 and 111 working faces of the Jinjitan Coal Mine as the research objects." The paper should explain why these specific working faces were chosen and how representative they are of typical conditions in the mine.

(3) P. 5, Lines 139-141: "Based on the production geological conditions of the case working face, a FLAC3D numerical model was established." The paper should provide more details on the model setup, including the boundary conditions, mesh size, and how the material properties were assigned.

(4) P. 6, Lines 163-165: "The 4–6m and 14–16m sections are stress reduction zones and elastic zones, where the stress levels gradually decrease, and the coal pillar progressively enters a more stable mechanical state." The paper should discuss the implications of these findings for the overall stability of the coal pillar and how they influence the reinforcement strategy.

(5) P. 12, Lines 301-304: "The comparison of reinforcement schemes, including conventional bolt reinforcement, pressure-relief anchor cable, constant-resistance large deformation anchor cable cross-passing reinforcement, and the alternating combination of pressure-relief and constant-resistance large deformation anchor cables, is shown in Figure 15." The paper should discuss the criteria used to evaluate the effectiveness of each reinforcement scheme and how these criteria were determined.

(6) P. 6, lines 189-194: "The negative Poisson's ratio (NPR) constant resistance large deformation anchor rope and the pressure relief anchor rope passing through the coal pillar are intertwined and intersected, resulting in a reduction in the peak stress value of the coal pillar from 68.5 MPa to 35.3 MPa. However, the reliability and practical application of this result has not been specified. Relevant experimental data or field application results should be supplemented to verify the reliability and practical application effect of this conclusion.

(7) Some sentences in the text need further refinement.

Comments on the Quality of English Language

In this paper, the reinforcement control of coal pillars between the roadways in the layout of the double roadway reinforced by through anchor cable is studied. However, there are still some problems that need to be further improved in the verification of some conclusions and innovation:

(1) P. 2, Lines 45-47: "Studies have shown that the failure of narrow coal pillars can be categorized into two types: ultimate strength failure and progressive failure." It would be beneficial to include references to these studies or provide a brief overview of the methodologies used in these studies.

(2) P. 3, Lines 85-87: "This study selects the 113 and 111 working faces of the Jinjitan Coal Mine as the research objects." The paper should explain why these specific working faces were chosen and how representative they are of typical conditions in the mine.

(3) P. 5, Lines 139-141: "Based on the production geological conditions of the case working face, a FLAC3D numerical model was established." The paper should provide more details on the model setup, including the boundary conditions, mesh size, and how the material properties were assigned.

(4) P. 6, Lines 163-165: "The 4–6m and 14–16m sections are stress reduction zones and elastic zones, where the stress levels gradually decrease, and the coal pillar progressively enters a more stable mechanical state." The paper should discuss the implications of these findings for the overall stability of the coal pillar and how they influence the reinforcement strategy.

(5) P. 12, Lines 301-304: "The comparison of reinforcement schemes, including conventional bolt reinforcement, pressure-relief anchor cable, constant-resistance large deformation anchor cable cross-passing reinforcement, and the alternating combination of pressure-relief and constant-resistance large deformation anchor cables, is shown in Figure 15." The paper should discuss the criteria used to evaluate the effectiveness of each reinforcement scheme and how these criteria were determined.

(6) P. 6, lines 189-194: "The negative Poisson's ratio (NPR) constant resistance large deformation anchor rope and the pressure relief anchor rope passing through the coal pillar are intertwined and intersected, resulting in a reduction in the peak stress value of the coal pillar from 68.5 MPa to 35.3 MPa. However, the reliability and practical application of this result has not been specified. Relevant experimental data or field application results should be supplemented to verify the reliability and practical application effect of this conclusion.

(7) Some sentences in the text need further refinement.

Author Response

Note on the revision of "Numerical Simulation Study on Through-Anchor Cable Reinforcement Control of Inter-Roadway Coal Pillars in Double Roadway Layouts"

Greetings to the esteemed editor:

Thank you very much for your valuable revisions, which are essential for improving the quality of the manuscript. The following are the detailed revision instructions for the manuscript.

some problems

(1), Lines 45-47: "Studies have shown that the failure of narrow coal pillars can be categorized into two types: ultimate strength failure and progressive failure." It would be beneficial to include references to these studies or provide a brief overview of the methodologies used in these studies.

A:Thank you for your suggestion. My revisions：Research findings demonstrate that the failure mechanisms of narrow coal pillars can be classified into two primary types: ultimate strength failure and progressive failure. The ultimate strength failure theory proposes a yield pillar design approach, which focuses on optimizing pillar dimensions while implementing reinforcement measures such as grouting and rock bolting. These techniques enhance the pillar's deformation resistance and overall strength, thereby achieving effective control. On the other hand, the progressive failure theory advocates for a rigid pillar design strategy, emphasizing continuous monitoring and systematic reinforcement to maintain long-term pillar stability.

(2), Lines 85-87: "This study selects the 113 and 111 working faces of the Jinjitan Coal Mine as the research objects." The paper should explain why these specific working faces were chosen and how representative they are of typical conditions in the mine.

A:The working face is characterized by a monocline structure, with the dip direction toward the northeast and a lower dip toward the southwest. The coal seam strikes approximately north and dips toward the west, with an average dip angle of less than 1°.

(3), Lines 139-141: "Based on the production geological conditions of the case working face, a FLAC3D numerical model was established." The paper should provide more details on the model setup, including the boundary conditions, mesh size, and how the material properties were assigned.

A:Thank you for your suggestion. My revisions：Based on the geological conditions and lithological characteristics obtained from borehole logs, a numerical simulation model was established using FLAC3D software to accurately represent the geological features of the working face. The model incorporates distinct rock strata, each assigned with corresponding physical parameters based on field data. The gravitational acceleration was set at 9.8 m/s², and the Mohr-Coulomb constitutive model was adopted for material characterization. The physical and mechanical parameters of various rock strata in the coal seam, as derived from borehole data, are presented in Table 1.

(4) Lines 163-165: "The 4–6m and 14–16m sections are stress reduction zones and elastic zones, where the stress levels gradually decrease, and the coal pillar progressively enters a more stable mechanical state." The paper should discuss the implications of these findings for the overall stability of the coal pillar and how they influence the reinforcement strategy.

A:Thank you for your suggestion. My revisions：The 4–6m and 14–16m sections are stress reduction zones and elastic zones, where the stress levels gradually decrease, and the coal pillar progressively enters a more stable mechanical state.The formation of the stress-relief zone and the elastic zone significantly impacts the overall stability of the coal pillar: the stress-relief zone reduces the risk of localized failure by releasing stress at the edges of the coal pillar, while the elastic zone ensures overall stability by maintaining the high load-bearing capacity of the core region. As the stress level gradually decreases, the coal pillar transitions into a more stable mechanical state, further enhancing its resistance to deformation and failure. These mechanical characteristics directly influence reinforcement strategies: for the stress-relief zone, techniques such as bolting and cable anchoring are required to enhance its residual strength; for the elastic zone, the focus should be on monitoring stress concentration to prevent it from entering a plastic failure stage. Overall, reinforcement strategies should dynamically adjust support methods based on the elastic stress distribution and deformation characteristics of the coal pillar, ensuring its long-term stability and safe mining operations.

(5)Lines 301-304: "The comparison of reinforcement schemes, including conventional bolt reinforcement, pressure-relief anchor cable, constant-resistance large deformation anchor cable cross-passing reinforcement, and the alternating combination of pressure-relief and constant-resistance large deformation anchor cables, is shown in Figure 15." The paper should discuss the criteria used to evaluate the effectiveness of each reinforcement scheme and how these criteria were determined.

A:Thank you for your suggestion. My revisions：The stability of narrow coal pillars is primarily determined by the distribution of high stress, as indicated by the blue regions in the stress diagram. In the absence of protective coal pillars, narrow coal pillars are subjected to penetrating high stress. By enhancing reinforcement measures, such as bolting or grouting, this penetrating high stress can be effectively mitigated, thereby achieving long-term stability of the narrow coal pillars. This approach ensures that the stress distribution is optimized, reducing the risk of pillar failure and maintaining the structural integrity of the mining environment.

(6)lines 189-194: "The negative Poisson's ratio (NPR) constant resistance large deformation anchor rope and the pressure relief anchor rope passing through the coal pillar are intertwined and intersected, resulting in a reduction in the peak stress value of the coal pillar from 68.5 MPa to 35.3 MPa. However, the reliability and practical application of this result has not been specified. Relevant experimental data or field application results should be supplemented to verify the reliability and practical application effect of this conclusion.

A: Thank you for your suggestion. This part of the manuscript has been revised. My revisions：

6.4 Field monitoring

The field application involved reinforcing a 12-meter narrow coal pillar using a cross-penetration system that integrates Negative Poisson's Ratio (NPR) constant-resistance large deformation anchor cables with yield-absorbing anchor cables. During the advancement of Panel 111, when the working face reached 30 meters, a comprehensive monitoring program was implemented. This included the use of a borehole inspection system to examine fracture development within a 6-meter deep borehole drilled into the coal pillar side of the return airway. The results of the borehole inspection, which are presented in Figure 20, provide critical insights into the fracture network characteristics and spatial distribution patterns within the reinforced coal pillar structure, offering valuable data for assessing the effectiveness of the reinforcement system.

Figure 20. Peephole view of coal pillar side drilling in the return roadway

The borehole inspection results revealed well-preserved borehole walls within the elastic zone of the coal pillar, demonstrating that mining-induced stresses and abutment pressure had not caused significant disturbance in this region. These findings provide compelling evidence for the technical reliability and practical applicability of the cross-penetration reinforcement system, which combines Negative Poisson's Ratio (NPR) constant-resistance large deformation anchor cables with yield-absorbing anchor cables for 12-meter narrow coal pillar stabilization. The system's effectiveness in maintaining the structural integrity of the coal pillar under complex stress conditions not only validates the theoretical foundation of this innovative approach but also establishes its practical value for engineering applications in similar mining environments, particularly in addressing stability challenges associated with narrow coal pillars.

(7)Some sentences in the text need further refinement.

A: Thank you for your suggestion. This part of the manuscript has been revised.

To the quality of the English language：

A: Thank you for your suggestion. This part of the manuscript has been revised.

We hope that these revisions address your concerns and have strengthened the manuscript. We have also attached a marked-up version of the revised manuscript to this email to show you exactly what changes have been made.

Once again, we appreciate your insightful feedback and the time you have dedicated to reviewing our work. Please let us know if you have any further questions or concerns.

Sincerely,

Shunyu Xu

Author Response File: Author Response.pdf

Reviewer 3 Report

Comments and Suggestions for Authors

The paper presents a numerical simulation for optimizing the narrow coal pillar reinforcement in double roadway layouts using FLAC3D. The authors introduced five different reinforcement patterns to improve the stability of coal pillars under mining-induced stresses.

The study is relevant to underground mining engineering and has a good contribution to optimizing coal pillar design. The methodology is appropriate, and the numerical simulations are well documented. However, the paper could benefit from clearer explanations of certain aspects, such as the selection criteria for the 12m coal pillar width, deeper discussion on practical applications, and grammatical improvements.
-The introduction is informative, but it lacks a more structured comparison of previous reinforcement techniques. A clearer technical research gap should be stated.
-The methodology aligns with the targeted objectives, and FLAC3D simulations are well-executed.

-Some details regarding model validation and the predicted parameter sensitivity should be provided in the form of a flow chart.

-Figures are well-structured, but some axis labels and annotations are small and difficult to read.

 

 

Author Response

Note on the revision of "Numerical Simulation Study on Through-Anchor Cable Reinforcement Control of Inter-Roadway Coal Pillars in Double Roadway Layouts"

Greetings to the esteemed editor:

Thank you very much for your valuable revisions, which are essential for improving the quality of the manuscript. The following are the detailed revision instructions for the manuscript.

-The introduction is informative, but it lacks a more structured comparison of previous reinforcement techniques. A clearer technical research gap should be stated.

A: This part of the manuscript has been revised.

-The methodology aligns with the targeted objectives, and FLAC3D simulations are well-executed.

A:Thank you very much for your valuable revisions. This part of the manuscript has been revised.

-Some details regarding model validation and the predicted parameter sensitivity should be provided in the form of a flow chart.

A:Thank you very much for your valuable revisions.

-Figures are well-structured, but some axis labels and annotations are small and difficult to read.

A: This part of the manuscript has been revised.

We hope that these revisions address your concerns and have strengthened the manuscript. We have also attached a marked-up version of the revised manuscript to this email to show you exactly what changes have been made.

Once again, we appreciate your insightful feedback and the time you have dedicated to reviewing our work. Please let us know if you have any further questions or concerns.

Sincerely,

Shunyu Xu

Author Response File: Author Response.pdf

Round 2

Reviewer 2 Report

Comments and Suggestions for Authors

The study presents a novel approach to optimizing narrow coal pillar reinforcement using advanced anchor cable systems, combining Negative Poisson’s Ratio (NPR) constant-resistance large deformation anchor cables and pressure-relief anchor cables. The integration of FLAC3D simulations with field validation provides a robust methodology. However, several critical aspects require clarification and enhancement to strengthen the scientific rigor and practical relevance of the findings:

(1) P. 3, Lines 98-99: " This study selects the 113 and 111 working faces of the Jinjitan Coal Mine as the research objects." The basis for selecting work faces 113 and 111 is still insufficient; it is recommended to supplement the key parameters of the work faces with those of other areas of the mine to illustrate their representativeness of typical conditions in the mine..

(2) P. 10, Lines 276-281: " The reinforcement scheme using a combination of NPR constant-resistance large deformation anchor cables and pressure-relief anchor cables, with a cross-through layout, results in a peak stress of 35.3 MPa..." The process of pressure variation has not been displayed; it is recommended to add a dynamic diagram of stress evolution.

(3) P. 15, Lines 406-408: " The borehole inspection results revealed well-preserved borehole walls within the elastic zone of the coal pillar, demonstrating that mining-induced stresses and abutment pressure had not caused significant disturbance in this region..." Only single-point static data cannot intuitively display the changes in hole parameters. It is necessary to add a comparison of three-dimensional laser scanning point cloud images, such as marking the green areas with deformations of less than 2mm, to make it more convincing..

(4) Some sentences in the text need further refinement.

Comments on the Quality of English Language

The study presents a novel approach to optimizing narrow coal pillar reinforcement using advanced anchor cable systems, combining Negative Poisson’s Ratio (NPR) constant-resistance large deformation anchor cables and pressure-relief anchor cables. The integration of FLAC3D simulations with field validation provides a robust methodology. However, several critical aspects require clarification and enhancement to strengthen the scientific rigor and practical relevance of the findings:

(1) P. 3, Lines 98-99: " This study selects the 113 and 111 working faces of the Jinjitan Coal Mine as the research objects." The basis for selecting work faces 113 and 111 is still insufficient; it is recommended to supplement the key parameters of the work faces with those of other areas of the mine to illustrate their representativeness of typical conditions in the mine..

(2) P. 10, Lines 276-281: " The reinforcement scheme using a combination of NPR constant-resistance large deformation anchor cables and pressure-relief anchor cables, with a cross-through layout, results in a peak stress of 35.3 MPa..." The process of pressure variation has not been displayed; it is recommended to add a dynamic diagram of stress evolution.

(3) P. 15, Lines 406-408: " The borehole inspection results revealed well-preserved borehole walls within the elastic zone of the coal pillar, demonstrating that mining-induced stresses and abutment pressure had not caused significant disturbance in this region..." Only single-point static data cannot intuitively display the changes in hole parameters. It is necessary to add a comparison of three-dimensional laser scanning point cloud images, such as marking the green areas with deformations of less than 2mm, to make it more convincing..

(4) Some sentences in the text need further refinement.

Author Response

Note on the revision of "Numerical Simulation Study on Through-Anchor Cable Reinforcement Control of Inter-Roadway Coal Pillars in Double Roadway Layouts"

Greetings to the esteemed editor:

Thank you very much for your valuable revisions, which are essential for improving the quality of the manuscript. The following are the detailed revision instructions for the manuscript.

Note on the revision of "Numerical Simulation Study on Through-Anchor Cable Reinforcement Control of Inter-Roadway Coal Pillars in Double Roadway Layouts"

Greetings to the esteemed editor:

Thank you very much for your valuable revisions, which are essential for improving the quality of the manuscript. The following are the detailed revision instructions for the manuscript.

(1) P. 3, Lines 98-99: " This study selects the 113 and 111 working faces of the Jinjitan Coal Mine as the research objects." The basis for selecting work faces 113 and 111 is still insufficient; it is recommended to supplement the key parameters of the work faces with those of other areas of the mine to illustrate their representativeness of typical conditions in the mine..

A:Thank you for your suggestion. My revisions：This study focuses on Panels 113 and 111 in Jinjitan Coal Mine as primary research subjects, which were selected based on their exceptional geological characteristics compared to other working faces in the mining area. These panels exhibit several advantageous geological features, including the absence of overlying gas reservoirs, negligible groundwater presence, and nearly horizontal coal seam inclination, making them ideal for comprehensive geological and engineering investigations.

(2) P. 10, Lines 276-281: " The reinforcement scheme using a combination of NPR constant-resistance large deformation anchor cables and pressure-relief anchor cables, with a cross-through layout, results in a peak stress of 35.3 MPa..." The process of pressure variation has not been displayed; it is recommended to add a dynamic diagram of stress evolution.

A:Thank you for your suggestion.We fully acknowledge the reviewer's valuable suggestion regarding the inclusion of dynamic stress evolution diagrams, which would indeed enhance the comprehensibility of our findings. However, due to the extensive scale of our experimental model and the constrained timeframe for revisions, we regret that we are unable to incorporate this improvement in the current manuscript. Nevertheless, we have provided comprehensive stress data analysis through five comparative stress model diagrams, as presented in Figure 16. These results demonstrate the effectiveness of our proposed reinforcement scheme combining NPR constant-resistance large deformation anchor cables with yield-absorbing anchor cables, offering substantial validation for optimizing narrow coal pillar reinforcement. Moving forward, we will prioritize the enhancement of experimental prototypes and place greater emphasis on developing dynamic stress evolution visualizations. We sincerely appreciate the expert's constructive feedback and will incorporate these improvements in our subsequent experimental investigations to further strengthen our research methodology.

(3) P. 15, Lines 406-408: " The borehole inspection results revealed well-preserved borehole walls within the elastic zone of the coal pillar, demonstrating that mining-induced stresses and abutment pressure had not caused significant disturbance in this region..." Only single-point static data cannot intuitively display the changes in hole parameters. It is necessary to add a comparison of three-dimensional laser scanning point cloud images, such as marking the green areas with deformations of less than 2mm, to make it more convincing..

A:Thank you for your suggestion.We concur with the reviewer's insightful observation that additional research data or further experimental results would significantly enhance the comprehensiveness and persuasiveness of our findings. However, we regret to inform that our field investigation was limited to borehole inspection monitoring, and we were unable to conduct three-dimensional laser scanning due to technical constraints. We sincerely apologize for this limitation in our current research methodology. We deeply appreciate the expert's valuable suggestion, which has identified an important area for methodological improvement in our future studies. This constructive feedback will be carefully considered in our subsequent experimental research, where we will implement more comprehensive monitoring techniques to strengthen the robustness of our findings.

(4) Some sentences in the text need further refinement.

A: Thank you for your suggestion. This part of the manuscript has been revised.

We hope that these revisions address your concerns and have strengthened the manuscript. We have also attached a marked-up version of the revised manuscript to this email to show you exactly what changes have been made.

Once again, we appreciate your insightful feedback and the time you have dedicated to reviewing our work. Please let us know if you have any further questions or concerns.

Sincerely,

Shunyu XU

Author Response File: Author Response.pdf