摘要
以Warren-Root模型为基础,引入分形参数和压缩系数,考虑了压力对具有分形特征的渗透率和孔隙度的影响,验证了变形双重介质分形油藏非线性渗流数学模型。利用离散泛函分析方法,引入不动点原理,就该模型一般形式的差分方程探讨了其解的存在性。研究认为:分形几何理论及方法在正确认识复杂非均质油藏及应力敏感地层油气藏方面具有独到优势。
The nonlinear flow through porous media mathematic model of deformed dual media fractal reservoir, hased on Warren -Root model and the introduction of fractal parameters and compression coefficient, takes the influence of pressure on permeability and porosity with fractal feature into consideration. The existence of the solution of the differential equation of the model is probed according to discrete functional analysis and the fixed point theory. It is indicated that in correctly recognizing the complex heterogeneous oil reservoirs and stress-sensitive formation oil -gas reservoirs, fractal geometrical theory and the method are of unique advantage.
出处
《西南石油大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2007年第1期123-125,共3页
Journal of Southwest Petroleum University(Science & Technology Edition)
基金
教育部高等学校博士学科点专项科研基金项目资助(20040615004)
四川省学术和技术带头人基金项目资助(2200320)
关键词
分形油藏
不稳定渗流模型
有限差分
存在性分析
离散泛函分析法
fractal reservoir
unstable flow through porous media model
finite difference
existence analysis
discrete functional analysis
