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基于響應面法的膨脹性充填體強度演化規律及配比優化

Research on the strength evolution law and ratio optimization of expansive backfill based on response surface methodology

  • 摘要: 針對某鐵礦采場充填接頂率低和接頂效果差的問題,通過添加復合膨脹劑可實現采場主動接頂. 采用響應面法,借助Design-Expert軟件中的Box?Behnken design (BBD)方法,開展了膨脹性充填體強度配比試驗,研究了料漿質量分數、膠固粉質量分數和復合膨脹劑質量分數對膨脹性充填體抗壓強度的影響規律. 結果表明,單一因素及各因素間交互作用對膨脹性充填體抗壓強度均有顯著影響,其中膠固粉質量分數影響最大,復合膨脹劑質量分數次之,料漿質量分數最小;料漿質量分數與膠固粉質量分數的交互作用對充填體的早、中期抗壓強度影響最為顯著,膠固粉質量分數與復合膨脹劑質量分數的交互作用對充填體的后期抗壓強度影響最為顯著. 通過目標規劃法確定了膨脹性充填體最優配比:料漿質量分數為69%,膠固粉質量分數為10%,復合膨脹劑質量分數為3×10–4. 利用X射線衍射 (XRD)和掃描電鏡 (SEM)分析發現,復合膨脹劑可使充填體的內部結構疏松而引起膨脹,提高充填接頂率.

     

    Abstract: To address the challenges of low roof-contacted filling rates and poor roof-contacted filling effects in an iron mine stope in the Anhui province, a composite expansive agent is introduced into the last roof-contacted filling slurry. This approach allows for active roof-contacted filling and reduces filling costs simultaneously. This paper analyzes the physical and chemical properties of the test materials to assess the strength evolution law and determine the optimal ratio for expansive backfill. Herein, a response surface methodology (RSM) is employed for performing the strength ratio test of expansive backfill using Box?Behnken design (BBD) in Design-Expert software. Further, the influence rules of slurry mass fraction, cementitious powder mass fraction, and composite expansive agent mass fraction on the compressive strength of expansive backfill are studied. Subsequently, the paper establishes response surface regression models for analyzing the compressive strength of expansive backfill. The results show that the regression coefficients for 3 d, 7 d, and 28 d compressive strength regression equations are 0.9813, 0.9758, and 0.9857, respectively. These figures suggest that the regression models have a high degree of fitting. Further analysis of variance and comparison between measured and predicted values suggest the accuracy and reliability of these models. The results reveal that the compressive strength of expansive backfill is considerably affected not only by a single factor but also by the interaction between various factors. Among the single factors, cementitious powder mass fraction exerts the greatest influence, followed by composite expansive agent mass fraction, while slurry mass fraction has the least effect. The interaction between slurry mass fraction and cementitious powder mass fraction considerably affects the compressive strength during the early and middle stages. Meanwhile, the interaction between the cementitious powder mass fraction and composite expansive agent mass fraction substantially affects the later compressive strength. Based on these findings, this paper applies the goal programming method to optimize the ratio of expansive backfill, and the optimization models are established considering the compressive strength, expansion effect, and filling cost of backfill. The optimal ratio of expansive backfill is determined to be 69% slurry mass fraction, 10% cementitious powder mass fraction, and 3×10–4 composite expansive agent mass fraction, meeting the requirements of compressive strength and roof-contacted filling. Finally, the microstructure of expansive backfill is analyzed using X-ray diffraction (XRD) and scanning electron microscopy (SEM). The results reveal that the composite expansive agent allows the filling slurry to expand and deform during the plastic stage, thereby improving the roof-contacted filling rate. Meanwhile, the composite expansive agent can loosen the internal structure and increase porosity, thereby reducing the compressive strength of backfill.

     

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