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    考虑凝固全过程的煤基绿色充填材料配比多目标优化研究

    Multi-objective optimization study on the mix design of coal-based green backfill materials considering the entire solidification process

    • 摘要: 煤基绿色充填材料具有组分多样性、性能多维性。考虑充填体凝固全过程性能科学抉择充填材料多组分配方,是保证矿山充填质量的首要考量。基于此,采用Box-Behnken试验设计(BBD),以粉煤灰掺量(20%~60%)、浆体质量分数(82%~86%)和矸胶比(3~7)为自变量,建立了充填体凝固全过程性能(泌水率、凝结时间和28 d单轴抗压强度)响应面模型。方差分析结果显示:模型中各项回归系数均达到显著水平,预测误差均控制在5%以内,所建模型具有极高的拟合精度和可靠的预测能力。粉煤灰掺量对泌水率和凝结时间影响显著,掺量增加有利于改善浆体稳定性但延缓凝结进程;浆体质量分数对强度提升最为敏感,较高浓度显著增强了水化反应效率;矸胶比则在强度和凝结性能上体现出与浓度、粉煤灰掺量的显著交互作用。随后,引入非支配排序遗传算法NSGA-II进行多目标优化,获得了100余组Pareto最优配方。以凝结时间适宜、泌水率受控为基本约束条件,以充填体强度和煤基固废利用率最大化为目标,筛选出3组同时满足所有约束条件的代表性配方,例如,一组代表性优化配比在粉煤灰掺量约43%、矸胶比约5的条件下实现了约2.2 MPa的28 d抗压强度,凝结时间约256 min、泌水率约6.7%,均满足施工要求,成功兼顾了高充填强度与高固废利用率。验证了NSGA-II法在充填材料配方设计中的实用性。基于BBD-NSGAII实现了煤基绿色充填材料多组分科学决策,可为类似充填材料配方优化提供参考。

       

      Abstract: Coal-based green filling materials exhibit component diversity and multi-dimensional performance. Considering the entire solidification process of the backfill and scientifically selecting a multi-component formulation is the primary concern for ensuring mine backfill quality. Accordingly, a Box-Behnken design (BBD) was first employed, with fly ash content (20%‒60%), slurry concentration (82%–86%), and gangue-to-binder ratio (3–7) as independent variables to construct response-surface models for the backfill’s overall solidification performance (bleeding rate, setting time, and 28 d uniaxial compressive strength). Analysis of variance indicates that all regression coefficients in the models are statistically significant, prediction errors remain within 5%, and the models demonstrate very high fitting accuracy and reliable predictive capability. Fly ash content significantly influences bleeding rate and setting time; increasing fly ash improves slurry stability but delays setting. Slurry concentration is most sensitive to strength enhancement, with higher concentrations markedly boosting hydration efficiency. The gangue-to-binder ratio shows significant interactions with both concentration and fly ash content regarding strength and setting behavior. Next, the non-dominated sorting genetic algorithm NSGA-II was introduced for multi-objective optimization, yielding over 100 Pareto-optimal formulations. By treating suitable setting time and controlled bleeding rate as basic constraints, and maximizing backfill strength and coal-based solid-waste utilization as objectives, three representative formulations meeting all constraints were selected, validating the practicality of the NSGA-II approach for filling-material design. This BBD-NSGA-II–based method realizes scientific decision-making for multi-component coal-based green filling materials and can serve as a reference for similar formulation optimization.

       

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