Abstract: The Archie formulae for some ideal rock models were derived according to the Ohm Law using the Calculus technique.The affecting factors on the cementing exponent and the saturation exponent were numerically analyzed.It is proved that the saturation exponent kept relatively constant in oil-wet reservoirs while it changes a lot with water saturation in water-wet reservoirs.The relationship between the saturation exponent in water-wet reservoir and saturation exponent in oil-wet reservoir was derived.It can be concluded that watered-out extent will affect the Archie formulae dramatically. It should be given great attention in the well logs analysis of waterflooded zones.

Key words: Archie formula, cementing exponent, saturation exponent, oil-wet reservoir, water-wet reservoir, numerical simulation

摘要： 根据欧姆定律及微积分原理,推导出几种理想情况下的Archie(阿尔奇)公式,模拟分析了胶结指数以及饱和度指数的影响因素.模拟结果表明,亲油储层饱和度指数高于亲水储层,亲油储层饱和度指数相对稳定,而亲水储层饱和度指数受饱和度变化的影响较大,建立了两者的数学关系式.储层水淹程度对Archie公式的影响很大,在水淹层测井解释时须给予重视.

关键词: Archie公式, 胶结指数, 饱和度指数, 亲油储层, 亲水储层, 数值模拟