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<p>This paper outlines a hierarchical computational strategy for solving large-scale tabular deposits using the displacement discontinuity boundary element method. This scheme facilitates the detailed analysis of local regions of interest, where current mining activity is in progress. The suggested approach requires an overall solution of the mine layout with a coarse element mesh to be obtained, which is then used to generate the background stress field for fine-scale solutions in selected regions of interest. The fine mesh solutions are established using the appropriate induced external coarse solution stress influence calculated in the selected region of interest using high order elements. The fine-scale solutions may involve detailed excavation extensions or time-dependent crushing of the fracture zone adjacent to the mined excavation edges. This analysis may require periodic re-calculation of the coarse scale background influence. An additional influence matrix partitioning scheme is also proposed as a strategy to incorporate automatically the effect of the induced background stress influence. A case study simulating the time-dependent convergence of a mining panel in a large-scale shaft pillar geometry is used to illustrate these hierarchical solution schemes.</p>

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Application of a Hierarchical Solution Scheme to the Analysis and Design of Large-Scale Tabular Mine Layouts

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年9月10日

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  • J. A. L. Napier,
  • D. F. Malan,
  • Y. Jooste

摘要

This paper outlines a hierarchical computational strategy for solving large-scale tabular deposits using the displacement discontinuity boundary element method. This scheme facilitates the detailed analysis of local regions of interest, where current mining activity is in progress. The suggested approach requires an overall solution of the mine layout with a coarse element mesh to be obtained, which is then used to generate the background stress field for fine-scale solutions in selected regions of interest. The fine mesh solutions are established using the appropriate induced external coarse solution stress influence calculated in the selected region of interest using high order elements. The fine-scale solutions may involve detailed excavation extensions or time-dependent crushing of the fracture zone adjacent to the mined excavation edges. This analysis may require periodic re-calculation of the coarse scale background influence. An additional influence matrix partitioning scheme is also proposed as a strategy to incorporate automatically the effect of the induced background stress influence. A case study simulating the time-dependent convergence of a mining panel in a large-scale shaft pillar geometry is used to illustrate these hierarchical solution schemes.