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化工学报  2014 

致密破碎多孔介质渗透率测量方法研究

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Keywords: 渗透率,多孔介质,Klinkenberg滑移,数值模拟,压力脉冲

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Abstract:

基于均匀各向同性多孔介质、达西渗流和理想气体假设,考虑Klinkenberg效应建立了针对具有纳米尺度孔径的低渗透率多孔介质中的渗流模型。针对致密球形破碎样品的压力脉冲实验,建立了相应的边界条件,同时利用有限差分方法获得其实验腔的压力变化曲线的数值解。通过对渗流方程进行无量纲化,引入了与孔隙率、渗透率和滑移参数有关的无量纲参数Z、Z*和b-K。通过改变参数Z、Z*和b-K研究了样品边界处压力的变化规律,给出了一种数据处理方法,对于致密球形破碎多孔介质的压力脉冲实验,通过对实验测量的样品边界处压力曲线的分析,结合偏微分方程正问题的数值解,可以确定样品的孔隙率,渗透率和滑移参数,从而更为简便地分析压力脉冲衰减曲线实验数据,得到致密多孔介质样品渗透率。

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