摘要
研究了低渗透气藏中气体滑脱效应问题,利用气体滑脱现象对气测渗透率的影响,建立了低渗透多孔介质气体渗流规律的非线性抛物型偏微分方程、非线性边界条件的数学模型,论证了其适定性,得到了该模型解的存在、唯一及稳定的理论证明,为数值计算奠定了基础。
In this paper, the effect of gas slippage in low permeation gas reservoirs is researched. Firstly, as the phenomenon of gas slippage has effected to the rate of permeation in gas measure, the mathematical model of nonlinear parabolic partial differential equation which reflects the rule of low permeation porous medium gas permeance is built according to the effect. Then the well posed of the solution to the nonlinear partial differential equation model in the condition of nonlinear boundary is analyzed in mathematical way. We also theoretically prove the existence, unique and stability of the solution to the model. Those results build the foundation for numerical calculation.
出处
《电子科技大学学报》
EI
CAS
CSCD
北大核心
2004年第4期474-477,共4页
Journal of University of Electronic Science and Technology of China
关键词
低渗透
滑脱
偏微分方程
适定性
low-permeability
slippage
partial differential equation
posed
