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阿尔奇公式中a、m与渗透率的关系——毛管理论在岩石电阻率研究中的应用 被引量:14

Relationship Between Permeability and Factors "a" "m" in Archie Equation-Capillary Theory in The Study of Rock Resistivity
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摘要 阿尔奇公式的α系数和m指数是两个变化的参数.当前解释中把其当作不变参数看待。模型研究中没有考虑岩石的多孔性特征,仅简单地把泥质等因素堆积在一起,没有考虑它们之间的相互影响和综合影响.没有明确地证明α和m与渗透率有函数关系。毛管理论是微观研究孔隙结构的一种理论.认为多孔介质是由无限多平行的毛管组成的.岩石电阻是由无限多的毛管电阻并联组成的.岩石电阻率是毛管孔径分布特征参数的函数.α和m都是毛管孔径或渗透率的函数,但仅用毛管概念还不能证明饱和度指数n大于1.0而近于2.0.应进一步从微观角度研究毛管内液体的导电机理和流体电阻率。 Two changing parameters of Archie Equation are factors 'a' and 'm'. But they aretaken as constant in current log interpretation. Poriness of rock, interaction of various fac-tors which influence permeability and integral effect are not taken into consideration in themodel. And the functional relationship between factors 'a' 'm' and permeability are notclearly proved. Capillary theory is a theory with which microscopic study of pore structure ismade. In this theory porous medium is considered to be made of infinite parallelcapillaries. Resistivity of the rock is obtained by substituting infinite parallel resistors for ca-pillaries and calculating the effectivc resistance of the network. Rock resistivity is a functionof the distribution behavior of capillary diameter. Factors 'a' and 'm' is a function or capil-lary diameter or permeability. But only the capillary concept can not prove that saturationexponent 'n' is bigger than 1.0 and approximately equal to 2. Electrical conduction mecha-nism of the fluid in capillary and fluid resistivity should be further studied microscopic viewpoint.
作者 原海涵
机构地区 长庆石油学校
出处 《地球物理测井》 CSCD 1990年第5期347-357,共11页
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