Mix ratio optimization of alpine mine backfill based on the response surface method
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摘要: 采用中心復合試驗研究采場溫度、灰砂質量比和固相質量分數對高寒礦山充填料漿的強度特性和流動特性影響規律.利用多項式近似隱式極限狀態方程,建立充填體強度、充填料漿坍落度和充填材料成本響應面回歸模型.以回歸模型響應值的滿意度為輸入,使用加權幾何平均算法求得料漿充填性能整體滿意度,采用基于整體滿意度準則的非線性多目標優化技術對充填配比參數進行優化,得到高寒礦山不同采場溫度范圍下最佳灰砂質量比及充填料漿輸送濃度.結果表明:采場溫度低于5℃時,固相質量分數70%、灰砂質量比1:6的料漿整體滿意度可達0.4~0.5,滿足低溫充填要求,且整體滿意度隨溫度變化較小;當采場溫度增至5℃之上時,溫度提高充填性能整體滿意度迅速增大,固相質量分數65%、灰砂質量比1:6的料漿滿意度增大最快.Abstract: Central composite design (COD) experiments were performed to investigate the effect of stope temper-ature, cement-to-tailings mass ratio and the mass fraction of solid phases in the backfill slurry on the backfill strength characteristics and slurry flow properties for an alpine mine. Response surface regression models of backfill strength, slurry slump and the cost of filling materials were established by the substitution of a polynomial for the implicit limit state equation. Taking the desirability of the above regression models as inputs, the overall desirability of the back-fill slurry's performance was calculated by a weighted geometric average algorithm. The filling mix parameters were optimized by the method of nonlinear multi-objective based on the overall desirability criteria, and the optimal cement-to-railings mass ratio and slurry transportation concentration were obtained for the alpine mine in different temperature situations. It is found that at the stope temperature less than 5℃, the overall desirability of the backfill slurry is in the range from 0.4 to 0.5 when the mass fraction of solid phases in the backfill slurry is 70% and the cement-to-tailings mass ratio is 1:6. Under that condition, the backfill slurry meets the challenge of low temperature and the overall desirability primary keeps invariable with the change in temperature. But at the stope temperature higher than 5℃, the overall desirability improves significantly with the temperature increasing, and it raises fastest when the mass fraction of solid phases in the backfill slurry is 65% and the cement-to-tailings mass ratio is 1:6.
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Key words:
- mining /
- backfill material /
- mixing /
- multi-objective optimization /
- response surface method /
- central composite design
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