毛管压力曲线与相渗曲线相互转化的分形实现

Fractal theory for transformation between capillary pressure curve and
relative permeability curve

杨露 冯文光 李海鹏

成都理工大学油气藏地质及开发工程国家重点实验室，四川 成都 610059

State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation,Chengdu University of Technology,
Chengdu 610059,China

岩石结构是多层次嵌套的多孔结构，每一层次之间是自相似或近似相似或统计意义上的相似，所以说岩石结构是典型的分形结构。将分形几何学的原理运用到储层岩心的孔隙结构研究当中，并提出了一种简单实用的计算束缚水饱和度的新方法，在此基础上分别计算得到了分形维数。把分维值作为桥梁，实现了毛细管压力曲线和相渗曲线之间的相互转化，这比传统的只能利用毛细管压力曲线求相对渗透率曲线的手段更有优势，从而说明分形理论有可能成为研究岩心孔隙结构的重要手段。

Rock structure is multiple nested pore structure. There is similitude or approximate similitude or statistical similitude between
every hierarchy, so pore structure is typical fractal structure. This paper studies the rock pore structure of reservoir with fractal
geometry and proposes a new method of getting bound water saturation. It is easy to get the fractal dimension through calculating. It
is more useful to utilize the fractal dimension as a bridge to implement the transformation between capillary pressure curve and
relative permeability curve compared with the traditional approach of getting relative permeability curve by capillary pressure curve.
Consequently, it is proved that fractal theory may be an important tool to study the rock pore structure