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考虑虚拟边界与应力耦合的页岩渗透率模型

Shale permeability model considering virtual boundary and stress coupling
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摘要 为探讨页岩气开采过程中页岩渗透率的变化情况,基于毛细管层序模型,采用虚拟边界与应力耦合相结合的方法,按照一定权重系数将应力推导黏性流动和克努森扩散相加,建立了页岩纳米孔体相气体传输模型。结果表明:新建渗透率模型计算曲线与试验实测值吻合较好,可以较好揭示页岩纳米孔体相气体流动情况;与Lu模型和S&D模型相比,新建模型考虑虚拟边界与应力的耦合,表观渗透率模型计算曲线与试验结果更为吻合,且能很好地反映实测值与孔隙压力所呈现的变化规律,具有较好的优越性;页岩力学参数(弹性模量、泊松比)、Langmuir应变常数及裂隙压缩系数对页岩渗透率起抑制作用,主要表现为其值越大,页岩渗透率越小;初始渗透率对页岩渗透率起促进作用,表现为其值越大,页岩渗透率越大。研究成果可为页岩气开发提供理论支撑。 In order to study shale permeability variation during shale gas production,based on capillary layered se-quence model,a shale nanopore bulk gas transport model is established by combining virtual boundaries and stress coupling and adding stress-derived viscous flow and Knudsen diffusion according to certain weighting factors.The results show that the calculated curve of new established permeability model is in good agreement with measured value,which can better reveal gas flow in shale nanopore bulk phase.Compared with Lu model and S&D model,the newly model in this paper considers coupling of virtual boundary and stress,and calculated curve of apparent permeability model is more consistent with experimental results,and it can well reflect variation law of measured values with pore pressure,showing much advantages.Mechanical parameters of shale(elastic modulus and Poisson’s ratio),Langmuir strain constant and fissure compressibility factor have inhibitory effect on shale permeability,mainly manifesting that the higher the values are,the lower the shale permeability is.Initial permeability has pro-moting effect on shale permeability,manifesting that the higher its value is,the higher the shale permeability is.The research provides theoretical support for shale gas development.
作者 叶平平 李波波 吴学海 宋浩晟 段淑蕾 成巧耘 YE Pingping;LI Bobo;WU Xuehai;SONG Haosheng;DUAN Shuei;CHENG Qiaoyun(Mining College of Guizhou University,Guiyang 550025,China;National&Local Joint Laboratory of Engineering for Effective Utilization of Regional Dominant Mineral Resources from Karst Areas,Guizhou University,Guiyang 550025,China;Guizhou Key Laboratory of Comprehensive Utilization of Non-metallic Mineral Resources,Guiyang 550025,China)
出处 《大庆石油地质与开发》 CAS 北大核心 2024年第5期166-174,共9页 Petroleum Geology & Oilfield Development in Daqing
基金 国家自然科学基金项目“含水状态下各向异性煤岩吸附-渗透率耦合模型与渗流演化机制”(52274183) 国家自然科学基金项目“多场耦合作用下考虑支撑剂压嵌效应的煤岩渗透率演化机理研究”(52064007) 贵州省基础研究(自然科学)项目“水力压裂下多场耦合作用的煤岩渗透率演化机理研究”(黔科合基础-ZK [2021]重点052)。
关键词 页岩气开采 渗透率 虚拟边界 层序模型 应力/应变 黏性流动 克努森扩散 shale gas production permeability virtual boundary sequence model stress/strain viscous flow Knudsen diffusion Petroleum Geology&Oilfield Development in
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