过程工程学报 ›› 2026, Vol. 26 ›› Issue (9): 1007-1020.DOI: 10.12034/j.issn.1009-606X.225312
李艺涵1(
), 李志潇2, 革晓东3, 胡科先3, 万征平3, 范峥1(
)
收稿日期:2025-12-16
修回日期:2026-03-02
出版日期:2026-04-07
发布日期:2026-09-28
通讯作者:
李艺涵 897871730@qq.com;fanzheng@xsyu.edu.cn
作者简介:李艺涵,硕士研究生,化学工程专业,E-mail: 897871730@qq.com;基金资助:
Yihan LI1(
), Zhixiao LI2, Xiaodong GE3, Kexian HU3, Zhengping WAN3, Zheng FAN1(
)
Received:2025-12-16
Revised:2026-03-02
Online:2026-04-07
Published:2026-09-28
Contact:
Yihan LI 897871730@qq.com;fanzheng@xsyu.edu.cn
摘要:
为实现钻井废液的高效回用,以Zeta电位表征体系稳定性,研究废弃钻井液破胶过程中关键工艺因素对稳定性的影响。首先采用单因素实验系统考察破胶剂用量、反应温度、pH调节剂加注量以及破胶剂中无机盐占比对Zeta电位的影响规律。随后基于Box-Behnken设计构建响应面实验体系,并利用响应面法对关键因素交互作用进行分析,为参数优化提供可解释依据。依据实验数据分别建立BP神经网络、随机森林(RF)回归与高斯过程回归(GPR)三种代理模型,并结合5折交叉验证对模型预测性能与泛化能力进行对比评价。研究表明,BP模型综合表现最优,其整体决定系数R2为0.9629,且5折交叉验证平均决定系数R2为0.8125,显著优于其他代理模型,能较为精准地预测Zeta电位。基于BP神经网络并结合遗传算法(GA)进行全局寻优,得到的最佳工艺为:破胶剂用量3.306 g/L、反应温度57.74℃、pH调节剂加注量3.45 g/L、无机盐占比0.80,对应预测Zeta电位为-10.735 mV。该研究结果为废弃钻井液脱稳以及后续回用提供了理论依据和数据支持。
中图分类号:
李艺涵, 李志潇, 革晓东, 胡科先, 万征平, 范峥. 废弃钻井液破胶过程的交互作用分析与工艺参数优化[J]. 过程工程学报, 2026, 26(9): 1007-1020.
Yihan LI, Zhixiao LI, Xiaodong GE, Kexian HU, Zhengping WAN, Zheng FAN. Interaction effects analysis and process parameter optimization for gel breaking of waste drilling fluid[J]. The Chinese Journal of Process Engineering, 2026, 26(9): 1007-1020.
| Item | Density/(g/cm3) | Plastic viscosity/mPa·s | Funnel viscosity/s | API filtrate volume/mL | pH | Zeta potential/mV | Ca2+ concentration/(mg/L) | Mg2+ concentration/(mg/L) |
|---|---|---|---|---|---|---|---|---|
| Waste drilling fluid | 1.428 | 34.5 | 87.21 | 11 | 12.5 | -41.6 | 685.52 | 156.98 |
表1 废弃钻井液检测结果
Table 1 Test results of waste drilling fluid
| Item | Density/(g/cm3) | Plastic viscosity/mPa·s | Funnel viscosity/s | API filtrate volume/mL | pH | Zeta potential/mV | Ca2+ concentration/(mg/L) | Mg2+ concentration/(mg/L) |
|---|---|---|---|---|---|---|---|---|
| Waste drilling fluid | 1.428 | 34.5 | 87.21 | 11 | 12.5 | -41.6 | 685.52 | 156.98 |
| Level | Breaker dosage/(g/L), A | Reaction temperature/℃, B | pH regulator dosage/(g/L), C | Inorganic salt proportion in breaker/(w/w), D |
|---|---|---|---|---|
| -1 | 2 | 40 | 3 | 0.75 |
| 0 | 3 | 50 | 3.4 | 0.80 |
| 1 | 4 | 60 | 3.8 | 0.85 |
表2 因素水平表
Table 2 Levels of factors
| Level | Breaker dosage/(g/L), A | Reaction temperature/℃, B | pH regulator dosage/(g/L), C | Inorganic salt proportion in breaker/(w/w), D |
|---|---|---|---|---|
| -1 | 2 | 40 | 3 | 0.75 |
| 0 | 3 | 50 | 3.4 | 0.80 |
| 1 | 4 | 60 | 3.8 | 0.85 |
| Run | A/(g/L) | B/℃ | C/(g/L) | D, W/W | Y/mV |
|---|---|---|---|---|---|
| 1 | 3 | 60 | 3.4 | 0.85 | -12.0 |
| 2 | 3 | 50 | 3 | 0.75 | -16.1 |
| 3 | 3 | 50 | 3.8 | 0.75 | -13.1 |
| 4 | 3 | 50 | 3.4 | 0.8 | -11.6 |
| 5 | 3 | 50 | 3.4 | 0.8 | -12.3 |
| 6 | 4 | 50 | 3 | 0.8 | -12.9 |
| 7 | 3 | 50 | 3.8 | 0.85 | -13.6 |
| 8 | 3 | 60 | 3 | 0.8 | -13.5 |
| 9 | 4 | 50 | 3.4 | 0.85 | -12.6 |
| 10 | 3 | 50 | 3.4 | 0.8 | -11.5 |
| 11 | 2 | 50 | 3.8 | 0.8 | -13.3 |
| 12 | 2 | 40 | 3.4 | 0.8 | -15.4 |
| 13 | 3 | 40 | 3.4 | 0.75 | -14.2 |
| 14 | 3 | 50 | 3.4 | 0.8 | -11.2 |
| 15 | 3 | 60 | 3.8 | 0.8 | -11.7 |
| 16 | 2 | 50 | 3 | 0.8 | -16.2 |
| 17 | 3 | 60 | 3.4 | 0.75 | -14.2 |
| 18 | 3 | 40 | 3 | 0.8 | -15.1 |
| 19 | 3 | 40 | 3.8 | 0.8 | -13.2 |
| 20 | 2 | 50 | 3.4 | 0.85 | -14.3 |
| 21 | 4 | 40 | 3.4 | 0.8 | -11.8 |
| 22 | 4 | 60 | 3.4 | 0.8 | -11.9 |
| 23 | 3 | 50 | 3 | 0.85 | -13.7 |
| 24 | 3 | 50 | 3.4 | 0.8 | -12.1 |
| 25 | 4 | 50 | 3.8 | 0.8 | -12.7 |
| 26 | 2 | 50 | 3.4 | 0.75 | -16.8 |
| 27 | 2 | 60 | 3.4 | 0.8 | -14.1 |
| 28 | 4 | 50 | 3.4 | 0.75 | -12.8 |
| 29 | 3 | 40 | 3.4 | 0.85 | -13.4 |
表3 Box-Behnken 设计方案及实验结果
Table 3 Box-Behnken design matrix and experimental results
| Run | A/(g/L) | B/℃ | C/(g/L) | D, W/W | Y/mV |
|---|---|---|---|---|---|
| 1 | 3 | 60 | 3.4 | 0.85 | -12.0 |
| 2 | 3 | 50 | 3 | 0.75 | -16.1 |
| 3 | 3 | 50 | 3.8 | 0.75 | -13.1 |
| 4 | 3 | 50 | 3.4 | 0.8 | -11.6 |
| 5 | 3 | 50 | 3.4 | 0.8 | -12.3 |
| 6 | 4 | 50 | 3 | 0.8 | -12.9 |
| 7 | 3 | 50 | 3.8 | 0.85 | -13.6 |
| 8 | 3 | 60 | 3 | 0.8 | -13.5 |
| 9 | 4 | 50 | 3.4 | 0.85 | -12.6 |
| 10 | 3 | 50 | 3.4 | 0.8 | -11.5 |
| 11 | 2 | 50 | 3.8 | 0.8 | -13.3 |
| 12 | 2 | 40 | 3.4 | 0.8 | -15.4 |
| 13 | 3 | 40 | 3.4 | 0.75 | -14.2 |
| 14 | 3 | 50 | 3.4 | 0.8 | -11.2 |
| 15 | 3 | 60 | 3.8 | 0.8 | -11.7 |
| 16 | 2 | 50 | 3 | 0.8 | -16.2 |
| 17 | 3 | 60 | 3.4 | 0.75 | -14.2 |
| 18 | 3 | 40 | 3 | 0.8 | -15.1 |
| 19 | 3 | 40 | 3.8 | 0.8 | -13.2 |
| 20 | 2 | 50 | 3.4 | 0.85 | -14.3 |
| 21 | 4 | 40 | 3.4 | 0.8 | -11.8 |
| 22 | 4 | 60 | 3.4 | 0.8 | -11.9 |
| 23 | 3 | 50 | 3 | 0.85 | -13.7 |
| 24 | 3 | 50 | 3.4 | 0.8 | -12.1 |
| 25 | 4 | 50 | 3.8 | 0.8 | -12.7 |
| 26 | 2 | 50 | 3.4 | 0.75 | -16.8 |
| 27 | 2 | 60 | 3.4 | 0.8 | -14.1 |
| 28 | 4 | 50 | 3.4 | 0.75 | -12.8 |
| 29 | 3 | 40 | 3.4 | 0.85 | -13.4 |
| Source | Sum of squares | df | Mean square | F value | P value | Significance |
|---|---|---|---|---|---|---|
| Model | 60.1400 | 14 | 4.3000 | 26.9500 | <0.0001 | Significant |
| A | 19.7600 | 1 | 19.7600 | 124.0100 | <0.0001 | Significant |
| B | 2.7100 | 1 | 2.7100 | 16.9900 | 0.0010 | Significant |
| C | 8.1700 | 1 | 8.1700 | 51.2500 | <0.0001 | Significant |
| D | 4.8100 | 1 | 4.8100 | 30.2000 | <0.0001 | Significant |
| AB | 0.4900 | 1 | 0.4900 | 3.0700 | 0.1014 | |
| AC | 1.8200 | 1 | 1.8200 | 11.4400 | 0.0045 | Significant |
| AD | 1.3200 | 1 | 1.3200 | 8.3000 | 0.0121 | Significant |
| BC | 0.0025 | 1 | 0.0025 | 0.0157 | 0.9021 | |
| BD | 0.4900 | 1 | 0.4900 | 3.0700 | 0.1014 | |
| CD | 2.1000 | 1 | 2.1000 | 13.1900 | 0.0027 | Significant |
| A2 | 6.9900 | 1 | 6.9900 | 43.8800 | <0.0001 | Significant |
| B2 | 1.6300 | 1 | 1.6300 | 10.2100 | 0.0065 | Significant |
| C2 | 7.5100 | 1 | 7.5100 | 47.1100 | <0.0001 | Significant |
| D2 | 10.7700 | 1 | 10.7700 | 67.5600 | <0.0001 | Significant |
| Residual | 2.2300 | 14 | 0.1594 | |||
| Lack of fit | 1.4200 | 10 | 0.1419 | 0.6991 | 0.7064 | |
| Pure error | 0.8120 | 4 | 0.2030 | |||
| Cor total | 62.3700 | 28 |
表4 响应面设计方差分析
Table 4 ANOVA for the response surface model
| Source | Sum of squares | df | Mean square | F value | P value | Significance |
|---|---|---|---|---|---|---|
| Model | 60.1400 | 14 | 4.3000 | 26.9500 | <0.0001 | Significant |
| A | 19.7600 | 1 | 19.7600 | 124.0100 | <0.0001 | Significant |
| B | 2.7100 | 1 | 2.7100 | 16.9900 | 0.0010 | Significant |
| C | 8.1700 | 1 | 8.1700 | 51.2500 | <0.0001 | Significant |
| D | 4.8100 | 1 | 4.8100 | 30.2000 | <0.0001 | Significant |
| AB | 0.4900 | 1 | 0.4900 | 3.0700 | 0.1014 | |
| AC | 1.8200 | 1 | 1.8200 | 11.4400 | 0.0045 | Significant |
| AD | 1.3200 | 1 | 1.3200 | 8.3000 | 0.0121 | Significant |
| BC | 0.0025 | 1 | 0.0025 | 0.0157 | 0.9021 | |
| BD | 0.4900 | 1 | 0.4900 | 3.0700 | 0.1014 | |
| CD | 2.1000 | 1 | 2.1000 | 13.1900 | 0.0027 | Significant |
| A2 | 6.9900 | 1 | 6.9900 | 43.8800 | <0.0001 | Significant |
| B2 | 1.6300 | 1 | 1.6300 | 10.2100 | 0.0065 | Significant |
| C2 | 7.5100 | 1 | 7.5100 | 47.1100 | <0.0001 | Significant |
| D2 | 10.7700 | 1 | 10.7700 | 67.5600 | <0.0001 | Significant |
| Residual | 2.2300 | 14 | 0.1594 | |||
| Lack of fit | 1.4200 | 10 | 0.1419 | 0.6991 | 0.7064 | |
| Pure error | 0.8120 | 4 | 0.2030 | |||
| Cor total | 62.3700 | 28 |
| Fold | R2 | RMSE/mV | MAE/mV |
|---|---|---|---|
| 1 | 0.957 | 0.367 | 0.2218 |
| 2 | 0.8607 | 0.2665 | 0.2192 |
| 3 | 0.8033 | 0.2101 | 0.3953 |
| 4 | 0.7926 | 0.455 | 0.4371 |
| 5 | 0.6488 | 0.2973 | 0.2695 |
| Mean±SD | 0.8125±0.1123 | 0.3192±0.0947 | 0.2571±0.1112 |
表5 BP-ANN模型5折交叉验证结果
Table 5 5-fold CV results of the BP-ANN model
| Fold | R2 | RMSE/mV | MAE/mV |
|---|---|---|---|
| 1 | 0.957 | 0.367 | 0.2218 |
| 2 | 0.8607 | 0.2665 | 0.2192 |
| 3 | 0.8033 | 0.2101 | 0.3953 |
| 4 | 0.7926 | 0.455 | 0.4371 |
| 5 | 0.6488 | 0.2973 | 0.2695 |
| Mean±SD | 0.8125±0.1123 | 0.3192±0.0947 | 0.2571±0.1112 |
| Fold | R2 | RMSE/mV | MAE/mV |
|---|---|---|---|
| 1 | 0.7981 | 0.6287 | 0.5489 |
| 2 | 0.7065 | 0.6093 | 0.5486 |
| 3 | 0.8598 | 0.7084 | 0.619 |
| 4 | 0.1986 | 0.7268 | 0.6678 |
| 5 | 0.8845 | 0.4371 | 0.4118 |
| Mean±SD | 0.6895±0.253 | 0.6221±0.1028 | 0.5592±0.0864 |
表6 GPR模型5折交叉验证结果
Table 6 5-fold CV results of the GPR model
| Fold | R2 | RMSE/mV | MAE/mV |
|---|---|---|---|
| 1 | 0.7981 | 0.6287 | 0.5489 |
| 2 | 0.7065 | 0.6093 | 0.5486 |
| 3 | 0.8598 | 0.7084 | 0.619 |
| 4 | 0.1986 | 0.7268 | 0.6678 |
| 5 | 0.8845 | 0.4371 | 0.4118 |
| Mean±SD | 0.6895±0.253 | 0.6221±0.1028 | 0.5592±0.0864 |
| Fold | R2 | RMSE/mV | MAE/mV |
|---|---|---|---|
| 1 | 0.2353 | 0.9079 | 0.7848 |
| 2 | 0.5788 | 0.7525 | 0.8865 |
| 3 | 0.3483 | 0.6788 | 0.5819 |
| 4 | 0.3811 | 0.906 | 0.7459 |
| 5 | 0.478 | 0.5412 | 0.8778 |
| Mean±SD | 0.4043±0.1305 | 0.7573±0.1563 | 0.7754±0.1237 |
表7 RF模型5折交叉验证结果
Table 7 5-fold CV results of the RF model
| Fold | R2 | RMSE/mV | MAE/mV |
|---|---|---|---|
| 1 | 0.2353 | 0.9079 | 0.7848 |
| 2 | 0.5788 | 0.7525 | 0.8865 |
| 3 | 0.3483 | 0.6788 | 0.5819 |
| 4 | 0.3811 | 0.906 | 0.7459 |
| 5 | 0.478 | 0.5412 | 0.8778 |
| Mean±SD | 0.4043±0.1305 | 0.7573±0.1563 | 0.7754±0.1237 |
| Method | A/(g/L) | B/℃ | C/(g/L) | D, w/w | Zeta potential/mV | Relative error | |
|---|---|---|---|---|---|---|---|
| Predicted | Measured | ||||||
| GA-BP | 3.3 | 57.7 | 3.45 | 0.8 | -10.735 | -10.85 | 1.06% |
表8 GA-BP优化与验证结果
Table 8 GA-BP optimization and validation results
| Method | A/(g/L) | B/℃ | C/(g/L) | D, w/w | Zeta potential/mV | Relative error | |
|---|---|---|---|---|---|---|---|
| Predicted | Measured | ||||||
| GA-BP | 3.3 | 57.7 | 3.45 | 0.8 | -10.735 | -10.85 | 1.06% |
| Treatment | Sample | Density/(g/cm3) | Plastic viscosity/mPa·s | Funnel viscosity/s | pH | Zeta potential/mV | Ca2++Mg2+ concentration/(mg/L) |
|---|---|---|---|---|---|---|---|
| With gel breaking | Filtrate | 1.0369 | 8.0 | 40.09 | 8.6 | -10.85 | 638.24 |
| Reconstituted drilling fluid | 1.0694 | 8.3 | 46.83 | 8.5 | -5.68 | 62.42 | |
| Without gel breaking | Reconstituted drilling fluid | 1.1256 | 12.4 | 56.87 | 9.2 | -28.74 | 84.74 |
表9 破胶后滤液、再配钻井液与未破胶再配钻井液的性能对比
Table 9 Comparison of properties of gel-broken filtrate and reconstituted drilling fluids with and without gel breaking
| Treatment | Sample | Density/(g/cm3) | Plastic viscosity/mPa·s | Funnel viscosity/s | pH | Zeta potential/mV | Ca2++Mg2+ concentration/(mg/L) |
|---|---|---|---|---|---|---|---|
| With gel breaking | Filtrate | 1.0369 | 8.0 | 40.09 | 8.6 | -10.85 | 638.24 |
| Reconstituted drilling fluid | 1.0694 | 8.3 | 46.83 | 8.5 | -5.68 | 62.42 | |
| Without gel breaking | Reconstituted drilling fluid | 1.1256 | 12.4 | 56.87 | 9.2 | -28.74 | 84.74 |
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