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页岩气在纳微孔道中的流动模拟研究
曾彦,宁正福,齐荣荣,黄亮,吕朝辉
1 中国石油大学(北京)石油工程教育部重点实验室, 北京 102249 2 中国石油大学(北京)油气资源与工程国家重点实验室, 北京 102249
Simulation of transport of shale gas through the nanopores of shales
ZENG Yan, NING Zhengfu, QI Rongrong, HUANG Liang, LV Chaohui
1 MOE Key Laboratory of Petroleum Engineering, China University of Petroleum-Beijing, Beijing 102249, China 2 State Key Laboratory of Petroleum Resources and Engineering, China University of Petroleum-Beijing, Beijing 102249, China

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摘要  富有机质页岩中存在大量的纳米孔隙,连续介质流的Navier-Stokes方程难以准确描述纳米孔隙中的气体流动行为。为此,采用格子Boltzmann方法模拟了气体在页岩纳微孔道中的流动。结果表明:页岩气在纳微孔道中的流动存在显著的纳米尺度现象,表现为气体的平均流速大于Poiseuille公式计算值;纳微孔道中气体的稀薄效应显著,孔壁处的气体速度不为零;且孔道直径越小,孔壁的滑移速度越大,甚至大于孔道中的气体速度、流速剖面也由抛物线型转变为柱塞状。页岩气在纳米孔中流动时发生“双滑脱效应”,流体粒子与孔壁发生碰撞,获得动能后反弹进入孔道中,增强整个纳微孔道气体的流动。“双滑脱效应”导致页岩气的渗透率大于等效液体渗透率,并引起克氏渗透率图中,气体渗透率与平均压力的倒数偏离直线关系。
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关键词 : 页岩, 纳米孔, 格子Boltzmann方法, 流动模拟, 纳米尺度, 双滑脱效应
Abstract

  Abundant nanopores were observed in gas shales using field emission scanning electron microscopy. The Navier-Stokes equation based on the continuum assumption breaks down at the nanometer scale. The transport mechanisms of gas in nanopores of shales have been simulated using the Lattice Boltzmann Method. The simulation result shows that the microscale phenomenon of gas in nanopores of shales leads to bigger average flow rates than that from the classic Poiseuille equation. The rarefaction effect is very remarkable, and the slip velocity on the wall boundary is not equal to zero. The smaller the pore diameter is, the larger the slip velocity is, so much so that the slip velocity becomes bigger than gas velocity in the nanopores, and the parabola flow velocity profile transforms from parabola to plunger. The “double skip effect” which results from the rebounding gas molecules with kinetic energy entering into the nanopores enhances the flow of gas in the whole nanopores, which bring about increased actual permeability, and the permeability of nanopores is bigger than that from liquid permeability. In addition, the “double skip effect” leads to nonlinear deviation from the classic Klinkenberg slip theory, especially in low flow pressure and smaller pore diameter.

Key words: shale nanopore Lattice Boltzmann Method flow simulation nanoscale double skip effect
收稿日期: 2016-08-19     
PACS:    
基金资助:国家自然科学基金“页岩气储层吸附解吸机理研究”(51274214)、教育部科学技术研究重大计划“页岩气流动机理与产能预测模型研究”(311008)、油气资源与探测国家重点实验室自主研究课题“页岩气吸附与解吸机理研究”(PRP/indep-3-1108)联合资助。
通讯作者: 宁正福 nzf@cup.edu.cn
引用本文:   
曾彦,宁正福,齐荣荣,黄亮,吕朝辉. 页岩气在纳微孔道中的流动模拟研究[J]. 石油科学通报, 2017, 2(1): 64-75. ZENG Yan, NING Zhengfu, QI Rongrong, HUANG Liang, LV Chaohui. Simulation of transport of shale gas through the nanopores of shales. Petroleum Science Bulletin, 2017, 2(1): 64-75.
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