
第 32 卷 第 9 期 岩石力学与工程学报 Vol.32 No.9
2013 年 9 月 Chinese Journal of Rock Mechanics and Engineering Sept.,2013
收稿日期:2012–12–12;修回日期:2013–02–05
基金资助:国家自然科学基金重大国际(地区)合作项目(51210006)
作者简介:盛 茂(1985–),男,2008 年毕业于中国石油大学(北京)石油工程专业,现为博士研究生,主要从事页岩气井压裂数值模拟方面的研究工
作。E-mail:bjshm2005@gmail.com。通讯作者:李根生(1961–),男,现任教授、博士生导师,主要从事钻完井、油气井增产等方面的教学与研究工
作。E-mail:ligs@cup.edu.cn
页岩气藏流固耦合渗流模型及有限元求解
盛 茂
1
,
2
,李根生
1
,黄中伟
1
,田守
嶒
1
,SHAH S
2
(1. 中国石油大学 油气资源与探测国家重点实验室,北京 102249;2. 俄克拉荷马大学 石油与地质工程系,美国 诺曼 73069)
摘要:页岩气渗流模型是页岩气藏动态分析和数值模拟的基础。将裂缝性页岩气藏视为基质孔隙–裂缝双重介质,
同时考虑岩石骨架变形对气体渗流场的影响,建立页岩气藏流固耦合渗流模型。模型假设基质孔隙内作克努森流
动,裂缝中作达西渗流,综合考虑页岩气壁面滑脱流动与孔内扩散作用、吸附与脱附、应力敏感性等渗流机制。
采用有限元法离散控制方程及全隐式耦合求解方法,编制计算机程序。考虑真实页岩参数取值,利用该模型进行
算例分析。结果表明,页岩气藏压力下降速率小于常规裂缝性气藏压力下降速率;裂缝渗透率是影响裂缝渗流压
力衰减的主要因素,需考虑页岩裂缝导流能力与基质产气速率的匹配关系;原始地层压力越小,裂缝渗流压力衰
减越慢。所建模型可为页岩气藏模拟器开发及动态分析提供理论基础。
关键字:岩石力学;页岩气;气体流动;双重介质;流固耦合;有限元
中图分类号:TU 45 文献标识码:A 文章编号:1000–6915(2013)09–1894–07
HYDRO-MECHANICAL COUPLING MODEL OF SHALE GAS RESERVOIR
AND ITS FINITE ELEMENT ANALYSIS
SHENG Mao
1
,
2
,LI Gensheng
1
,HUANG Zhongwei
1
,TIAN Shouceng
1
,SHAH S
2
(1. State Key Laboratory of Petroleum Resources and Prospecting,China University of Petroleum,Beijing 102249,China;
2. School of Petroleum and Geological Engineering,University of Oklahoma,Norman
73069,USA)
Abstract:A comprehensive gas-flow model for shale gas reservoir is significantly important for the dynamic
analysis of gas production and reservoir simulations. This paper proposed a hydro-mechanical model for shale gas
reservoir that was considered as dual permeability media of matrix pore and fracture. The Knudsen flow in porous
matrix and Darcy flow in fracture network were assumed. The model involves multiple flow regimes,gas
adsorption/desorption,and stress-sensitive effect. Finite element method was used to discretize the governing
equations by fully implicit discretization schemes,and thus corresponding code was made. A numerical example
was presented using the proposed model and field shale parameters. Results show that the pressure-declined rate
of shale gas reservoir is less than that of conventionally fractured reservoirs. Fracture permeability is a primary
factor of reservoir pressure depletion. It is necessary to make the flow conductivity of fractures match with the gas
production from shale matrix. The initial pressure has a major effect on the fracture pressure depletion,which
indicates that the less initial pressure is,the less fracture pressure depletion is. The presented model and code are
helpful for understanding shale gas production and developing the shale-gas reservoir simulator.
Key words:rock mechanics;shale gas;gas transport;dual permeability media;hydro-mechanical coupling;
finite elements