摘要
应用Ｇｒｅｅｎ函数方法研究了非均质多孔介质的尺度跃迁，对大尺度上的等效渗透率给出了级数形式的表达式。对于服从对数正态分布的渗透率分布，应用随机场理论和级数部分求和技术研究了渗透率的尺度跃迁，得到了等效渗透率的表达公式，其表达式包含了局部关联上的所有信息。对于三维无限区域上的等效渗透率给出了简单的估计。
Scaling\|up of permeability in an heterogeneous porous medium is studied by using
a formalism of Green's function. A formal expression for effective permeability of medium is
given in the form of a series expansion. The case of a log\|normal distributed medium of infinite
extent is studied by using the random field\|theoretical method and partial series resummation
technique, and a formula up to all orders in local correlation is derived. For the effective
permeability of medium in three\|dimension space, a simple estimation is demonstrated. The
method can be systematically improved when more complex situations are studied.\=
出处
《石油大学学报（自然科学版）》
CSCD
1999年第4期45-48,共4页
Journal of the University of Petroleum,China(Edition of Natural Science)
基金
石油大学基础研究基金
关键词
石油开发
油藏
渗透率
非均质
孔介质
GREEN函数
petroleum exploitation
reservoir
permeability
heterogeneity
porous media
log\|normal distribution
Green's function\=
