基于响应面法的高寒矿山充填配比优化

Mix ratio optimization of alpine mine backfill based on the response surface method

采用中心复合试验研究采场温度、灰砂质量比和固相质量分数对高寒矿山充填料浆的强度特性和流动特性影响规律.利用多项式近似隐式极限状态方程,建立充填体强度、充填料浆坍落度和充填材料成本响应面回归模型.以回归模型响应值的满意度为输入,使用加权几何平均算法求得料浆充填性能整体满意度,采用基于整体满意度准则的非线性多目标优化技术对充填配比参数进行优化,得到高寒矿山不同采场温度范围下最佳灰砂质量比及充填料浆输送浓度.结果表明:采场温度低于5℃时,固相质量分数70%、灰砂质量比1:6的料浆整体满意度可达0.4～0.5,满足低温充填要求,且整体满意度随温度变化较小;当采场温度增至5℃之上时,温度提高充填性能整体满意度迅速增大,固相质量分数65%、灰砂质量比1:6的料浆满意度增大最快.

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.