摘要
从渗透率、孔隙度的概率分布特征入手，结合现有的分形插值理论，对分形插值的各个环节进行了细致的理论分析，并提出了改进方法。引入Box-Cox变换，将非正态分布转化为正态分布，提高了计算分形特征指数H和进行分形模型识别的准确度。同时将分形模拟工作集中在分维Brown运动（Fbm）和分维Gauss噪声（Fgn）模型上，便于插值后数据结构的检验，大大简化了分形建模和模拟工作。给出了Fbm和Fgn模型识别的定量标准，即可以用谱分析方法加以识别，当谱分析斜率1≤β≤3时，数据序列为Fbm，当-1≤β≤1时，数据序列为Fgn。此外，论述了对分形插值理论可采用3种插值方式进行分形模拟。同时，简单介绍了分形特征指数的求取方法及应注意的若于问题。最后，对分形模拟的具体步骤及插值结果的检验方法作了详细的介绍。
The characteristics of probability distribution of permeability and porosity are firstly analyzed in this paper. Combined withthe present theories of the fractal interpolation, theoretical analyses of all its aspects are made carefully. The improvedmethods are presented-The Box-Cox conversion is introduced to simplify the fractal simulationl The quantitative criteria forrecoghzing fractal Brown movement model and fractal Gaussian noise model are given. At the same time, the calculatingmethods of the fractal characteristic index (H) and quite a few problems that must be noted are simply described. At last, theprocedures of the fractal simulation are illustrated in detail.
出处
《石油勘探与开发》
SCIE
EI
CAS
CSCD
北大核心
1997年第3期66-69,共4页
Petroleum Exploration and Development
关键词
渗透率
孔隙度
分形学
插值法
石油
勘探
Permeability, Porosity, Simulation, Distribution, Theory, Fractal, Interpolation
