碎屑岩储层渗透率分布分维计算及其意义

CALCULATION OF FRACTAL DIMENSION OF THE PERMEABILITY DISTRIBUTION IN CLASTIC ROCK RESERVOIRS AND ITS SIGNIFICANCE

碎屑岩储层渗透率分布非均匀性是直接影响油气开采效果的客观因素。笔者认为储层渗透率分布具有分形特征,其分维值介于2与3之间。实例研究表明,分维能描述渗透率分布的非均匀性,其值随非均匀程度增加而增加。分维还能反映沉积能量分布和成岩作用对渗透率分布的影响。分维将是一个研究碎屑岩储层渗透率分布的数学和成因特征的重要参数。研究分维与石油工程参数的关系具有现实意义。

The heterogeneity of the permeability distribution in clastic rock reservoirs is the objective factor that directly affects the efficiency of petroleum production. The paper proposes that the permeability distribution in reservoirs has the fractal character, with its fractal dimension ranging between 2 and 3. Study on the examples suggests that fractal dimension can describe the heterogeneity of the permeability distribution and that its value increases with increasing heterogeneous degree. Fractal dimension also reflects the impact of deposit energy distribution and diagenesis on the permeability distribution. Fractal dimension will be an important parameter of studying the mathematical and genetical characters of the permeability distribution in clastic rock reservoirs. The study of the relationship between fractal dimension and petroleum engineering parameters is of practical significance.