响应曲面法优化铅冶炼水淬渣回收有价金属

李辉; 邹琳; 曲超

doi:10.3969/j.issn.1000-6532.2025.01.018

响应曲面法优化铅冶炼水淬渣回收有价金属

山东恒邦冶炼股份有限公司，山东　烟台　264109

详细信息

作者简介: 李辉（1985-），男，硕士研究生，工程师，主要研究方向为湿法冶金

中图分类号: TD981；TF09

收稿日期: 2022-04-04

刊出日期: 2025-02-25

Optimization of Recovery of Valuable Metals from Lead Smelting Water Quenching Slags by Response Surface Methodology

Shandong Humon Smelting Co., Ltd., Yantai 264109, Shandong, China

Received Date: 04 April 2022

Publish Date: 25 February 2025

摘要

摘要:
在酸性条件下氧压浸出水淬渣，通过响应曲面法的模型优化设计和分析，研究了浸出过程中氧压温度、硫酸浓度、液固比对选择性浸出率的影响，得到较佳优化浸出的工艺条件，并获得了二阶多项式模型。在氧压温度171.4 ℃、硫酸浓度48.62 g/L、液固比6.42 的较佳优化条件下，选择性浸出率模型预测值分别为95.59%，实验真实值平均浸出率为95.61%。
- 水淬渣 /
- 响应曲面 /
- 氧压浸出 /
- 选择性浸出
Abstract:
Water quenching slags were leached by oxygen pressure at the acidic conditions. The effects of ratio of oxygen pressure temperature, sulfuric acid concentration, liquid-solid ratio on the selective leaching were investigated using response surface methodology for optimal and analysis. Optimal process parameters on Mn leaching from water quenching slags and two order polynomial equation of model were obtained. At the optimal conditions as follows, the oxygen pressure temperature of 171.4 ℃, sulfuric acid concentration of 48.62 g/L, liquid-solid ratio of 6.42. The results show that the theoretical leaching ratio of model predicts can reach 95.59%, while the experimental average values are 95.61%.
- Water quenching slags /
- Response surface methodology /
- Oxygen pressure leaching /
- Selective leaching

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图 1 水淬渣的XRD

Figure 1.

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图 2 水淬渣的SEM

Figure 2.

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图 3 选择性浸出率的实际值与预测值的对比

Figure 3.

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图 4 影响因子为氧压温度和硫酸浓度的等高线与响应曲面

Figure 4.

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图 5 影响因子为氧压温度和液固比的等高线与响应曲面

Figure 5.

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图 6 影响因子为硫酸浓度和液固比的等高线与响应曲面

Figure 6.

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表 1 水淬渣的主要化学成分/%

Table 1. Main composition of water quenching slags

Cu	Pb	Zn	Fe	SiO₂	MgO	CaO	As
1.41	0.03	6.21	24.93	20.28	1.74	17.30	0.01

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表 2 水淬渣中Cu物相分析结果

Table 2. Phase analysis results of Cu in lead smelting water quenching slags

名称	硫化铜	氧化铜	金属铜	其他铜	共计
含量/%	0.89	0.17	0.21	0.14	1.41
占有率/%	63.12	12.07	14.89	9.92	100.00

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表 3 水淬渣中Fe物相分析结果

Table 3. Phase analysis results of Fe in lead smelting water quenching slags

名称	硅酸铁	磁性氧化铁	金属铁	氧化铁	硫化铁	共计
含量/%	14.17	7.64	0.21	2.77	0.14	24.93
占有率/%	56.84	30.65	0.84	11.11	0.56	100.00

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表 4 中心组合设计响应曲面实验的因素水平及编码值对照

Table 4. Level and coded symbols of variable for central composite design test

种类	因子	编码变量水平					t步进值
种类	因子	a=-1.68	-1	0	1	a=+1.68	t步进值
氧压温度/℃	A	153.18	160	170	180	186.82	10
硫酸浓度/（g/L）	B	23.18	30	40	50	56.62	10
液固比/（L/S）	C	4.32	5	6	7	7.68	1

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表 5 中心组合设计及结果

Table 5. Arrangement and results of central composite design

序号	影响因子			浸出率 /%		选择性浸出率Z/%
序号	A/℃	B/（g/L）	C/（L/S）	Cu	Fe	选择性浸出率Z/%
1	186.82	40.00	6.00	96.20	0.89	95.31
2	170.00	40.00	7.68	94.46	1.25	93.21
3	160.00	50.00	7.00	96.23	1.56	94.67
4	170.00	40.00	4.32	91.06	1.06	90.00
5	180.00	50.00	7.00	96.62	1.65	94.97
6	180.00	50.00	5.00	95.92	1.19	94.73
7	180.00	30.00	7.00	94.39	0.50	93.89
8	170.00	40.00	6.00	96.36	1.56	94.80
9	160.00	30.00	7.00	90.95	1.25	89.70
10	170.00	40.00	6.00	94.80	1.01	93.79
11	160.00	30.00	5.00	88.04	1.16	86.88
12	170.00	40.00	6.00	94.71	1.04	93.67
13	170.00	40.00	6.00	94.98	1.10	93.88
14	170.00	40.00	6.00	95.07	1.10	93.97
15	180.00	30.00	5.00	91.64	2.68	88.96
16	170.00	40.00	6.00	94.85	1.00	93.85
17	170.00	56.82	6.00	96.81	1.94	94.87
18	160.00	50.00	5.00	96.15	2.28	93.87
19	170.00	23.18	6.00	87.88	0.39	87.49
20	153.18	40.00	6.00	93.65	0.84	92.81

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表 6 选择性浸出率模型可信度分析

Table 6. Credibility analysis of selective leaching ratio

标准差	平均值	C.V./%	Press	R₂	R²_Adj	R²_Pred	信噪比
0.35	92.72	0.37	10.27	0.990 5	0.981 9	0.919 1	35.663

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表 7 选择性浸出率的方差分析结果

Table 7. Analysis of variance(ANOVA) for selective leaching ratio

方差分析	平方和	自由度	均方值	F值	Pb>F
模型	125.48	9	13.94	115.42	0.000 3
A	9.91	1	9.91	82.05	<0.000 1
B	71.38	1	71.38	590.87	<0.000 1
C	14.74	1	14.74	122.03	<0.000 1
AB	3.26	1	3.26	27.02	0.000 4
AC	0.3	1	0.3	2.49	0.145 9
BC	5.63	1	5.63	46.59	<0.000 1
A²	0.11	1	0.11	0.90	0.365 0
B²	12.50	1	12.50	103.48	<0.000 1
C²	8.79	1	8.79	72.78	<0.000 1
残差	1.21	10	0.12

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参考文献(10)

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响应曲面法优化铅冶炼水淬渣回收有价金属

山东恒邦冶炼股份有限公司，山东 烟台 264109

作者简介: 李辉（1985-），男，硕士研究生，工程师，主要研究方向为湿法冶金

Optimization of Recovery of Valuable Metals from Lead Smelting Water Quenching Slags by Response Surface Methodology

Shandong Humon Smelting Co., Ltd., Yantai 264109, Shandong, China

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山东恒邦冶炼股份有限公司，山东　烟台　264109