基于球体模型的渗透率有效应力系数的理论与实验

摘要

By using elastic mechanics and percolation theory, the expression of effective stress coefficient for permeability is deduced based on sphere model. The permeability of low-permeability tight sandstone core is tested using steady-state method, nitrogen as medium. And binary linear regression is applied to calculation of the effective stress coefficient for permeability. The result is approximate to the the- oretical value, indicating the theoretical model is reliable and applicable.%结合弹性力学和渗流理论，推导了基于球体模型的渗透率有效应力系数的数学表达式，并基于稳态法，以氮气为实验介质，对低渗致密砂岩岩样进行了渗透率测试，利用二元线性回归计算渗透率有效应力系数，所得结果与理论值相近，证实了理论模型的可靠性。