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以前提出的模拟泥质砂岩电特性的解析方法经修改后适用于由油井电磁测井、孔隙度测井的测量值计算胶结指数m、含水饱和度S_w 及泥质分布。泥质通常用砂岩中黏上体积分数p及黏上类型参数β_1/α来描述。对泥质包壳结构来说,这些参数可以同交换阳离子密度Q_v建立关系。依据粒状模型内部等效流动状态导出了 Kozeny-Carman型方程,即用孔隙度弯曲因子φ~(m-0.5)和参数 Q_v表示介质的原始渗透率 k。幂律导出的表达式证明 k随黏土含量而降低,这不仅因为高 Q_v使孔隙通道变窄,还因为高Q_v可改变介质的水力弯曲度。用大量的不同类型砂岩岩石物理实验室数据对此方程进行了统计验证,并对巴西的北里奥格兰德Potiguar盆地一口油井的岩心数据及测井数据进行了分析,取得了满意结果。
The previously proposed analytical method of simulating the electrical properties of shaly sandstone has been modified to be suitable for calculating the cementation index m, water saturation S_w and muddy distribution from the measured values of the electromagnetic well and porosity logging of the well. The shale is usually described by the volume fraction of sticky sand in sandstone and the type parameter β_1 / α. For the argillaceous cladding structure, these parameters can be related to the exchange cation density Q_v. The Kozeny-Carman equation is derived based on the equivalent flow inside the granular model. The porosity permeability factor φ ~ (m-0.5) and the parameter Q_v represent the initial permeability k of the media. The power law leads to the expression that k decreases with clay content, not only because of the high Q_v that narrows the pore passage but also because high Q_v can change the hydraulic curvature of the medium. This equation has been statistically validated using a large number of different types of sandstone petrophysical laboratory data. Core data and logging data from an oil well in the Potiguar Basin in Rio Grande do Norte, Brazil have been analyzed and satisfactory results have been obtained.