| Citation: | Wang Wei, Xu Zhaolin, Li Weizhen, Hou Tao, Li Yahui, Bai Yunyun, Zhu Yushuang. Determination of permeability in tight sandstone reservoirs using Gaussian process regression and high-pressure porosimetry: A case study of the Member-7 of Yanchang Formation in the Jiyuan area of the Ordos Basin[J]. Bulletin of Geological Science and Technology, 2022, 41(4): 30-37. doi: 10.19509/j.cnki.dzkq.2022.0117
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Because of the Klinkenberge effect in tight sandstones, errors exist forusing air permeability to reflect its reality, and it is thus important to determine the absolute permeability of tight sandstone.The Gaussian process regression (GPR), a state-of-the-art machine learning algorithm, has advantages in dealing with nonlinear and multidimensional complex problems in the petroleum industry. In this paper, the tight sandstone of the Member-7 of Yanchang Formation in the Jiyuan area of the Ordos Basin was taken as a sample to adopt the GPR model. In the model, the squared exponential and Matern covariance functions were taken as two covariance functions. The absolute permeability of tight sandstone was predicted by parameters including the porosity, volume ratio of unsaturated mercury, displacement pressure and fractal dimension measured by high-pressure porosimetry experiments, and the precision of different GPR models in predicting permeability were studied in combination with error analysis. The results indicate that GPR with Matern gives high precision with a mean magnitude relative error (MMRE), root mean square error (RMSE) and standard deviation (STD) equal to 32%, 0.16 and 0.57, respectively. Particularly, if the permeability is less than 0.1×10-3
| [1] |
姚泾利, 邓秀芹, 赵彦德, 等. 鄂尔多斯盆地延长组致密油特征[J]. 石油勘探与开发, 2013, 40(2): 150-158. https://www.cnki.com.cn/Article/CJFDTOTAL-SKYK201302002.htm
Yao J L, Deng X Q, Zhao Y D, et al. Characteristics of tight oil in Triassic Yanchang Formation, Ordos Basin[J]. Petroleum Exploration and Development, 2013, 40(2): 150-158(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-SKYK201302002.htm
|
| [2] |
王勇杰, 王昌杰. 低渗透多孔介质中气体滑脱行为研究[J]. 石油学报, 1995, 16(3): 101-105. doi: 10.3321/j.issn:0253-2697.1995.03.008
Wang Y J, Wang C J. A research of gas slip in low permeability porous media[J]. ACTA Petrolei Sinica, 1995, 16(3): 101-105(in Chinese with English abstract). doi: 10.3321/j.issn:0253-2697.1995.03.008
|
| [3] |
田景春, 刘伟伟, 王峰, 等. 鄂尔多斯盆地高桥地区上古生界致密砂岩储层非均质性特征[J]. 石油与天然气地质, 2014, 35(2): 183-189. https://www.cnki.com.cn/Article/CJFDTOTAL-SYYT201402003.htm
Tian J C, Liu W W, Wang F, et al. Heterogeneity of the Paleozoic tight sandstone reservoirs in Gaoqiao area of Ordos Basin[J]. Oil & Gas Geology, 2014, 35(2): 183-189(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-SYYT201402003.htm
|
| [4] |
Swanson B F. A simple correlation between permeabilities and mercury capillary pressures[J]. Journal of Petroleum Technology, 1981, 33(12): 2498-2504. doi: 10.2118/8234-PA
|
| [5] |
Jennings J B. Capillary pressure techniques application to exploration and development geology[J]. AAPG Bulletin, 1987, 71(10): 1196-1209.
|
| [6] |
Pittman E D. Relationship of porosity and permeability to various parameters derived from mercury injection capillary pressure curves for sandstones[J]. AAPG Bulletin, 1992, 76(2): 191-198.
|
| [7] |
王伟, 丁黎, 陈小东, 等. 一种改进的通过压汞来计算致密砂岩渗透率经验方法: 以鄂尔多斯盆地姬塬地区长7致密砂岩为例[J]. 地质科技情报, 2018, 37(4): 153-157. https://www.cnki.com.cn/Article/CJFDTOTAL-DZKQ201804021.htm
Wang W, Ding L, Chen X D, et al. An improved empirical permeability estimator from mercury injection for tight sandstone: A case of Chang 7 tight sandstone in Jiyuan area of Ordos Basin[J]. Bulletin of Geological Science and Technology, 2018, 37(4): 153-157(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-DZKQ201804021.htm
|
| [8] |
Lai J, Wang G. Fractal analysis of tight gas sandstones using high-pressure mercury intrusion techniques[J]. Journal of Natural Gas Science & Engineering, 2015, 24: 185-96.
|
| [9] |
Negash B M, Yaw A D. 基于人工神经网络的注水开发油藏产量预测[J]. 石油勘探与开发, 2020, 47(2): 357-365. https://www.cnki.com.cn/Article/CJFDTOTAL-SKYK202002016.htm
Negash B M, Yaw A D. Artificial neural network based production forecasting for a hydrocarbon reservoir under water injection[J]. Petroleum Exploration and Development, 2020, 47(2): 357-365(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-SKYK202002016.htm
|
| [10] |
Saemi M, Ahmadi M, Varjani A Y. Design of neural networks using genetic algorithm for the permeability estimation of the reservoir[J]. Journal of Petroleum Science and Engineering, 2007, 59(1/2): 97-105.
|
| [11] |
Alireza R, Alireza B, Mohammadi A H, et al. Rigorous prognostication of permeability of heterogeneous carbonate oil reservoirs: Smart modeling and correlation development[J]. Fuel, 2019, 236: 110-123. doi: 10.1016/j.fuel.2018.08.136
|
| [12] |
李俭川, 秦国军, 温熙森, 等. 神经网络学习算法的过拟合问题及解决方法[J]. 振动·测试与诊断, 2002, 22(4): 16-20. https://www.cnki.com.cn/Article/CJFDTOTAL-ZDCS200204002.htm
Li J C, Qin G J, Wen X S, et al. Over-fitting in neural network learning algorithms and its solving strategies[J]. Journal of Vibration, Measurement & Diagnosis, 2002, 22(4): 16-20(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-ZDCS200204002.htm
|
| [13] |
Asante-Okyere S, Shen C, Yao Y Z, et al. Investigating the predictive performance of Gaussian process regression in evaluating reservoir porosity and permeability[J]. Energies, 2018, 11(12): 1-13.
|
| [14] |
付金华, 牛小兵, 淡卫东, 等. 鄂尔多斯盆地中生界延长组长7段页岩油地质特征及勘探开发进展[J]. 中国石油勘探, 2019, 24(5): 601-614. doi: 10.3969/j.issn.1672-7703.2019.05.007
Fu J H, Niu X B, Dan W D, et al. The geological characteristics and the progress on exploration and development of shale oil in Chang 7 Member of Mesozoic Yanchang Formation, Ordos Basin[J]. China Petroleum Exploration, 2019, 24(5): 601-614(in Chinese with English abstract). doi: 10.3969/j.issn.1672-7703.2019.05.007
|
| [15] |
Yang Y, Li W, Ma L. Tectonic and stratigraphic controls of hydrocarbon systems in the Ordos Basin: A multicycle cratonic basin in Central China[J]. AAPG Bulletin, 2005, 89(2): 255-269. doi: 10.1306/10070404027
|
| [16] |
Wu H, Zhang C, Ji Y, et al. Pore throat characteristics of tight sandstone of Yanchang Formation in eastern Gansu, Ordos Basin[J]. Petroleum Research, 2018, 3(1): 33-43. doi: 10.1016/j.ptlrs.2017.11.001
|
| [17] |
吴浩, 刘锐娥, 纪友亮, 等. 致密气储层孔喉分形特征及其与渗流的关系: 以鄂尔多斯盆地下石盒子组盒8段为例[J]. 沉积学报, 2017, 35(1): 151-162. https://www.cnki.com.cn/Article/CJFDTOTAL-CJXB201701015.htm
Wu H, Liu R E, Ji Y L, et al. Fractal characteristics of pore-throat of tight gas reservoirs and its relation with percolation: A case from He 8 Member of the Permian Xiashihezi Formation in Ordos Basin[J]. Acta Sedimentologica Sinica, 2017, 35(1): 151-162(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-CJXB201701015.htm
|
| [18] |
孙斌, 姚海涛, 刘婷. 基于高斯过程回归的短期风速预测[J]. 中国电机工程学报, 2012, 32(29): 104-109. https://www.cnki.com.cn/Article/CJFDTOTAL-ZGDC201229016.htm
Sun B, Yao H T, Liu T. Short-term wind speed forecasting based on Gaussian process regression model[J]. Proceedings of the Chinese Society for Electrical Engineering, 2012, 32(29): 104-109(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-ZGDC201229016.htm
|
| [19] |
何志昆, 刘光斌, 赵曦晶, 等. 高斯过程回归方法综述[J]. 控制与决策, 2013, 28(8): 1121-1129. https://www.cnki.com.cn/Article/CJFDTOTAL-KZYC201308002.htm
He Z K, Liu G B, Zhao X J, et al. Overview of Gaussian process regression[J]. Control and Decision, 2013, 28(8): 1121-1129(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-KZYC201308002.htm
|
| [20] |
梁智, 孙国强, 俞娜燕, 等. 基于高斯过程回归和粒子滤波的短期风速预测[J]. 太阳能学报, 2020, 41(3): 45-51. https://www.cnki.com.cn/Article/CJFDTOTAL-TYLX202003007.htm
Liang Z, Sun G Q, Yu N Y, et al. Short-term wind speed forecasting based on Gaussian process regression and particle filter[J]. Acta Energiae Sdoris Sinica, 2020, 41(3): 45-51(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-TYLX202003007.htm
|
| [21] |
韩峰, 储可宽, 张熠, 等. 西北太平洋双台风引导气流的伴随敏感性分析[J]. 南京大学学报: 自然科学, 2020, 56(5): 35-44. https://www.cnki.com.cn/Article/CJFDTOTAL-NJDZ202005003.htm
Han F, Chu K K, Zhang Y, et al. The adjoint-derived sensitivity analysis of the steering flow of binary in the western North Pacific[J]. Journal of Nanjing University: Nature Science, 2020, 56(5): 35-44(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-NJDZ202005003.htm
|
| [22] |
曾羽佳, 欧阳传湘, 曾庆伟, 等. 超低界面张力体系对低渗岩心非线性渗流规律的影响[J]. 地质科技通报, 2021, 40(5): 307-315. doi: 10.19509/j.cnki.dzkq.2021.0027
Zeng Y J, Ouyang C X, Zeng Q W, et al. Influence of ultra-low interfacial tension system on nonlinear seepage law of low permeability core[J]. Bulletin of Geological Science and Technology, 2021, 40(5): 307-315(in Chinese with English abstract). doi: 10.19509/j.cnki.dzkq.2021.0027
|
| [23] |
李智, 叶加仁, 曹强, 等. 鄂尔多斯盆地杭锦旗独贵加汗区带下石盒子组储层特征及孔隙演化[J]. 地质科技通报, 2021, 40(4): 49-60. doi: 10.19509/j.cnki.dzkq.2021.0404
Li Z, Ye J R, Cao Q, et al. Reservoir characteristics and pore evolution of the Lower Shihezi Formation in Duguijiahan zone, Hangjinqi area, Ordos Basin[J]. Bulletin of Geological Science and Technology, 2021, 40(4): 49-60(in Chinese with English abstract). doi: 10.19509/j.cnki.dzkq.2021.0404
|
| [24] |
Chok N S. Pearson's versus Spearman's and Kendall's correlation coefficients for continuous data[D]. Pittsburgh: University of Pittsburgh, 2010.
|
| [25] |
王敬, 赵卫, 刘慧卿, 等. 缝洞型碳酸盐岩油藏注水井间干扰特征及其影响因素[J]. 石油勘探与开发, 2020, 47(5): 990-999, 1051. https://www.cnki.com.cn/Article/CJFDTOTAL-SKYK202005016.htm
Wang J, Zhao W, Liu H Q, et al. Inter-well interferences and their influencing factors during water flooding in fractured-vuggy carbonate reservoirs[J]. Petroleum Exploration and Development, 2020, 47(5): 990-999, 1051(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-SKYK202005016.htm
|
| [26] |
王伟, 宋源娟, 黄静, 等. 利用高压压汞实验研究致密砂岩孔喉结构分形特征[J]. 地质科技通报, 2021, 40(4): 22-30. doi: 10.19509/j.cnki.dzkq.2021.0402
Wang W, Song Y J, Huang J, et al. Fractal characteristics of pore-throat structure in tight sandstones using high-pressure mercury intrusion porosimetry[J]. Bulletin of Geological Science and Technology, 2021, 40(4): 22-30(in Chinese with English abstract). doi: 10.19509/j.cnki.dzkq.2021.0402
|
| [27] |
Gramatica P. Principles of QSAR models validation: Internal and external[J]. QSAR & Combinatorial Science, 2007, 26(5): 694-701.
|
| [28] |
Hoaglin D C, Welsch R E. The hat matrix in regression and anova[J]. American Statistician, 1978, 32(1): 17-22.
|
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