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  • 基于RSM的煤基充填膠凝材料強度演化規律及配比優化研究

    Strength evolution law and ratio optimization of coal-based filling cementitious materials based on the response surface method

    • 摘要: 為探究脫硫石膏質量分數、粉煤灰質量分數和水膠比對膠凝材料性能影響,優化充填料漿膠凝材料配比,提高固廢綜合利用率,本研究基于響應面法開展膠凝材料凈漿試塊制備試驗,通過極差分析探究不同齡期強度的影響因素排序及最優配比,結合總功效系數分析綜合考慮多個齡期強度進行配比優化,構建以強度為響應值的回歸模型,揭示單因素及交互作用對強度的影響規律. 研究結果表明,影響早中后期強度的主要因素分別為脫硫石膏質量分數、粉煤灰質量分數及水膠比;水膠比是綜合三個齡期強度的主要影響因素,膠凝材料優化配比為脫硫石膏質量分數15%、粉煤灰質量分數50%、水膠比(質量比)0.32. 各齡期多元非線性二次響應面回歸模型擬合效果顯著,根據各齡期回歸模型與主觀權重得到的總目標函數有最大值48.3 MPa和最小值21.2 MPa;早中后期強度均對脫硫石膏質量分數和粉煤灰質量分數的交互作用最為敏感;粉煤灰–水泥–脫硫石膏基膠凝材料的主要水化產物為C–S–H凝膠、Ca(OH)2和鈣礬石,粉煤灰質量分數過高會導致部分粉煤灰未參與水化反應,造成強度下降.

       

      Abstract: The safety and efficiency of mining operations depend on the strength of backfill, and cementitious materials play a key role in achieving high-strength backfill. The stockpiling of fly ash (FA) and desulfurization gypsum (DG) poses serious environmental pollution risks and urgently requires effective treatment to achieve sustainable resource utilization. This study develops a cementitious composite system that integrates FA, DG, and cement. It systematically investigates the effects of DG mass fraction, FA mass fraction and water-to-binder mass ratio (w/b) on the properties of cementitious materials to optimize the mix ratio of backfill slurry binders and enhance comprehensive utilization of solid waste. In this study, a three-factor, three-level orthogonal experiment was designed using the response surface methodology (RSM) to prepare cementitious paste test blocks and to test their compressive strength at 3, 7, and 28 d (hereafter denoted as 3 d, 7 d, and 28 d). Based on the experimental results, range analysis was employed to determine the ranking of influencing factors and to identify the optimal mix ratios for each curing age. Additionally, overall efficacy coefficient analysis was used to optimize the mix design by comprehensively considering the strengths across multiple curing ages. A multivariate nonlinear regression analysis was conducted to develop regression models with strength as the response variable, revealing the effects of individual factors and their interactions on strength at different curing ages. Meanwhile, a weighted objective function incorporating all three curing ages was established through the assignment of subjective weight coefficients. Finally, X-ray diffraction (XRD) and scanning electron microscopy with energy-dispersive spectroscopy (SEM–EDS) analyses were conducted to investigate the microstructural mechanisms underlying the consolidation of cementitious materials. The research results indicate that the compressive strengths of all specimen groups meet the engineering application requirements for cementitious materials. The primary factors influencing early- (3 d), medium- (7 d), and late-stage (28 d) strengths are mass fraction of DG, mass fraction of FA, and water-to-binder mass ratio, respectively. Range analysis reveals the optimal mix proportions as 10% DG, 50% FA, and w/b=0.32 for 3 d strength; 10% DG, 67% FA, and w/b=0.36 for 7 d strength; and 20% DG, 50% FA, and w/b=0.32 for 28 d strength. Considering all three ages, the water-to-binder mass ratio is the most influential factor, with the optimal composite mix determined to be 15% DG, 50% FA, and a w/b of 0.32. The regression coefficients (R2) of the multivariate nonlinear quadratic response surface models for each age are close to 1, indicating excellent fitting accuracy. The total objective function derived from the regression models and subjective weights yields a maximum value of 48.3 MPa and a minimum value of 21.2 MPa. Strength at all ages is most sensitive to the interaction between mass fraction of DG and FA. XRD and SEM analyses confirm that the primary hydration products of the FA–cement–DG system are C–S–H gel, Ca(OH)2, and ettringite (AFt, calcium aluminate trisulfate hydrate). With increasing curing age, enhanced hydration and increased product formation fill internal pores, leading to gradual strength development. Excessive mass fraction of FA reduces strength due to the incomplete participation of FA in hydration reactions. This research provides theoretical guidance for optimizing the mix design of FA-based cementitious materials in mine backfill applications, particularly regarding the rational allocation of DG mass fraction, FA mass fraction, and water-to-binder mass ratio to balance early and long-term strength requirements.

       

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