页岩气非线性渗流的有限元模拟方法  

A finite-element method for nonlinear seepage flow of shale gas

作　　者：杨连枝[1] 何蕃民 岳明[1] 

机构地区：[1]北京科技大学应用力学研究所,北京100083 [2]四川能投电力开发有限公司,成都611130

出　　处：《中国科学：技术科学》2016年第2期127-134,共8页Scientia Sinica(Technologica)

基　　金：国家重点基础研究发展计划(编号:2013CB228002)资助项目

摘　　要：基于考虑解吸、扩散和滑移作用的页岩气非线性渗流理论模型,构建了以压力为自变量的页岩气非线性渗流的三维有限元方程.通过一个忽略解吸效应的页岩气稳定渗流算例和一个考虑解吸附效应的页岩气非稳定渗流算例,求解井筒附近压力场,以及压力和气井产量随时间的变化,并与文献中的理论解进行对比,验证数值方法的合理性.结果表明,本文提供的页岩气非稳定渗流数值计算方法,其结果与理论解吻合,且收敛性好,可用于页岩气开发中气井周围压力变化和气井产量的预测,为页岩气井设计和页岩气开采提供重要的手段.On the basis of nonlinear shale gas flow model considering the diffusion, slippage and desorption effects, a three-dimensional general numerical algorithm in the context of finite element scheme with pressure as the independent variable was developed. Two examples were investigated to illustrate the accuracy of this finite element scheme. One was to solve the steady pressure field of one shale gas reservoir without considering desorption effect. The other was to study transient pressure and flux of the shale gas reservoir with desorption effect considered. Compared with the analytical solutions from references, it can be seen that numerical solutions of the algorithm were consistent with the analytical solutions, and the convergence was easy to approach. The numerical algorithm in this paper can be used to forecast the pressure field and the flux of the gas reservoirs, and provides an important method for designing and developing shale gas reservoirs.

关 键 词：页岩气 非线性 非稳定 渗流 有限元 

分 类 号：TE312[石油与天然气工程—油气田开发工程]