基于数字岩心技术的气体解析/扩散格子Boltzmann模拟

doi:10.7623/syxb201503011

石油学报 ›› 2015, Vol. 36 ›› Issue (3): 361-365.DOI: 10.7623/syxb201503011

基于数字岩心技术的气体解析/扩散格子Boltzmann模拟

张磊, 姚军, 孙海, 孙致学, 高莹, 赵建林

中国石油大学石油工程学院山东青岛 266580

收稿日期:2014-08-03 修回日期:2014-12-31 出版日期:2015-03-25 发布日期:2015-03-11
通讯作者: 姚军,男,1964年3月生,1984年毕业于华东石油学院采油工程专业,2000年获石油大学(华东)油气田开发工程专业博士学位,现为中国石油大学(华东)教授、博士生导师,主要从事油气田开发工程的教学和科研工作。Email:rcogrf_upc@126.com
作者简介:张磊,男,1984年9月生,2006年毕业于中国石油大学(华东)信息与计算科学专业,现为中国石油大学(华东)油气田开发工程专业博士研究生,主要从事多孔介质微观流动模拟方面的研究。Email:zhlei84@163.com
基金资助:
国家自然科学基金重点项目(No.51234007)、国家自然科学基金重大项目(No.51490654)、山东省自然科学基金项目(ZR2014EEP018,2013ZRE28068)和中国石油大学(华东)自主创新科研计划项目(14CX06090A)资助

Lattice Boltzmann simulation of gas desorption and diffusion based on digital core technology

Zhang Lei, Yao Jun, Sun Hai, Sun Zhixue, Gao Ying, Zhao Jianlin

School of Petroleum Engineering, China University of Petroleum, Shandong Qingdao 266580, China

Received:2014-08-03 Revised:2014-12-31 Online:2015-03-25 Published:2015-03-11

摘要/Abstract

摘要：

在页岩气和煤层气等非常规储层中普遍存在着气体解析/扩散现象,为了描述微观尺度下的流动模拟,通过在格子Boltzmann方法的演化方程中添加源汇项,模拟了多孔介质中的解析/扩散现象。并以Langmuir等温吸附定律为例进行模拟,模型计算结果与宏观扩散方程的有限差分结果基本一致,但有限差分方法对时间步长要求较高,计算量比格子Boltzmann方法大,格子Boltzmann方法在迭代次数上具有明显的优势。最后基于CT扫描的二维数字岩心,模拟了气体在复杂结构多孔介质中气体解析/扩散过程。这种处理方式避免了复杂的边界条件,计算量不会明显增加,并可以用来模拟具有复杂孔隙结构的真实岩心中的解析/扩散现象,同时可以根据不同储层中气体满足的解析/吸附规律来配置源汇项。

关键词: 数字岩心, 解析/吸附, 扩散, 格子Boltzmann方法, 源汇项

Abstract:

Gas desorption and diffusion phenomenon widely exists in unconventional reservoirs such as shale gas and coalbed methane. In order to describe the flow simulation on a micro-scale, a source-sink term is added to evolution equation of the lattice Boltzmann method, so as to simulate gas desorption and diffusion phenomenon in porous media. Meanwhile, Langmuir isothermal adsorption is taken as a case for simulation. The model calculation results are basically consistent with the finite difference results of macro diffusion equation. However, the finite difference method has a higher requirement for time step with more calculated amount than the lattice Boltzmann method. The latter method has a significant advantage in iterations. Finally, 2D digital core based on CT scanning was used to simulate gas desorption and diffusion process in porous media with complex structure. This processing method is able to avoid complex boundary conditions, and the calculated amount will not increase significantly, but can be used to simulate gas desorption and diffusion phenomenon in real cores with complex porous structure. In the meantime, a source-sink term can be configured according to gas desorption and diffusion laws in different reservoirs.

Key words: digital core, desorption and adsorption, diffusion, lattice Boltzmann method, source/sink term

中图分类号:

TE311

张磊, 姚军, 孙海, 孙致学, 高莹, 赵建林. 基于数字岩心技术的气体解析/扩散格子Boltzmann模拟[J]. 石油学报, 2015, 36(3): 361-365.

Zhang Lei, Yao Jun, Sun Hai, Sun Zhixue, Gao Ying, Zhao Jianlin. Lattice Boltzmann simulation of gas desorption and diffusion based on digital core technology[J]. Acta Petrolei Sinica, 2015, 36(3): 361-365.

参考文献

[1] 邹才能,朱如凯,吴松涛,等.常规与非常规油气聚集类型、特征、机理及展望——以中国致密油和致密气为例[J].石油学报,2012,33(2):173-187.
Zou Caineng,Zhu Rukai,Wu Songtao,et al.Types,characteristics,genesis and prospects of conventional and unconventional hydrocarbon accumulations:taking tight oil and tight gas in China as an instance[J].Acta Petrolei Sinica,2012,33(2):173-187.
[2] Jia Chengzao,Zheng Min,Zhang Yongfeng.Unconventional hydrocarbon resources in China and the prospect of exploration and development[J].Petroleum Exploration and Development,2012,39(2):139-146.
[3] Zou Caineng,Dong Dazhong,Wang Shejiao,et al.Geological characteristics,formation mechanism and resource po tential of shale gas in China[J].Petroleum Exploration and Development,2010,37(6):641-653.
[4] 梁涛,常毓文,许璐,等.北美非常规油气蓬勃发展十大动因及对区域油气供需的影响[J].石油学报,2014,35(5):890-900.
Liang Tao,Chang Yuwen,Xu Lu,et al.Top ten causes of unconventional oil and gas resources boom in North America and its influence on regional supply and demand[J].Acta Petrolei Sinica,2014,35(5):890-900.
[5] 姚军,孙海,黄朝琴,等.页岩气藏开发中的关键力学问题[J].中国科学:物理学力学天文学,2013,43(12):1527-1547.
Yao Jun,Sun Hai,Huang Zhaoqin,et al.Key mechanical problems in the development of shale gas reservoirs[J].Scientia Sinica:Physica,Mechanica & Astronomic,2013,43(12):1527-1547.
[6] 张东晓,杨婷云.页岩气开发综述[J].石油学报,2013,34(4):792-801.
Zhang Dongxiao,Yang Tingyun.An overview of shale-gas production[J].Acta Petrolei Sinica,2013,34(4):792-801.
[7] 杨峰,宁正福,胡昌蓬,等.页岩储层微观孔隙结构特征[J].石油学报,2013,34(2):301-311.
Yang Feng,Ning Zhengfu,Hu Changpeng,et al.Characterization of microscopic pore structures in shale reservoirs[J].Acta Petrolei Sinica,2013,34(2):301-311.
[8] Succi S.The lattice Boltzmann equation:for fluid dynamics and beyond[M].Clarendon:Oxford University Press,2011:1-304.
[9] Succi S,Foti E,Higuera F.Three-dimensional flows in complex geometries with the lattice Boltzmann method[J].Europhysics Letters,1989,10(5):433-438.
[10] Qian Y H,Humières D D,Lallemand P.Lattice BGK models for Navier-Stokes equation[J].Europhysics Letters,1992,17(6):479-484.
[11] Chen S,Doolen G D.Lattice Boltzmann method for fluid flows[J].Annual Review of Fluid Mechanics,1998,30(1):329-364.
[12] Chen L,Kang Q,Mu Y,et al.A critical review of the pseudopotential multiphase lattice Boltzmann model:methods and applications[J].International Journal of Heat and Mass Transfer,2014,76:210-236.
[13] Zhang J.Lattice Boltzmann method for microfluidics:models and applications[J].Microfluidics and Nanofluidics, 2011,10(1):1-28.
[14] Chen L,Kang Q,He Y,et al.Pore-scale simulation of coupled multiple physicochemical thermal processes in micro reactor for hydrogen production using lattice Boltzmann method[J].International Journal of Hydrogen Energy,2012,37 (19):13943-13957.
[15] Guo Z L,Shi B C,Wang N C.Fully Lagrangian and lattice Boltzmann methods for the advection-diffusion equation[J].Journal of Scientific Computing,1999,14(3):291-300.
[16] 张磊,姚军,孙海,等.利用格子Boltzmann方法计算页岩渗透率[J].中国石油大学学报:自然科学版,2014,38(1):87-91.
Zhang Lei,Yao Jun,Sun Hai,et al.Permeability calculation in shale using lattice Boltzmann method[J].Journal of China University of Petroleum:Edition of Natural Science,2014,38(1):87-91.
[17] 孙海,姚军,张磊,等.基于孔隙结构的页岩渗透率计算方法[J].中国石油大学学报:自然科学版,2014,38(2):92-98.
Sun Hai,Yao Jun,Zhang Lei,et al.Permeability calculation in shale using lattice Boltzmann method[J].Journal of China University of Petroleum:Edition of Natural Science,2014,38(2):92-98.
[18] 张磊,康钦军,姚军,等.页岩压裂中压裂液返排率低的孔隙尺度模拟与解释[J].科学通报,2014,59(32):3197-3203.
Zhang Lei,Kang Qinjun,Yao Jun,et al.The explanation of low recovery of fracturing fluid in shale hydraulic fracturing by pore-scale simulation[J].Chinese Science Bulletin,2014,59(32):3197-3203.
[19] Guo Z,Zheng C,Shi B.Discrete lattice effects on the forcing term in the lattice Boltzmann method[J].Physical Review E,2002,65(4):046308.
[20] Shi B,Deng B,Du R,et al.A new scheme for source term in LBGK model for convection-diffusion equation[J].Computers & Mathematics with Applications,2008,55(7):1568-1575.
[21] Mohamad A A.Lattice Boltzmann method:fundamentals and engineering applications with computer codes[M].London:Springer,2011:1-178.

基于数字岩心技术的气体解析/扩散格子Boltzmann模拟

Lattice Boltzmann simulation of gas desorption and diffusion based on digital core technology

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