计算砂岩出砂临界压力梯度的新方法

摘要：将毛管束模型引入到出砂问题的研究中来,同时考虑了表皮效应,建立了出砂毛管束物理模型,该模型能够将复杂的多孔介质固液耦合问题转化为宏观的管流流动问题,通过分析砂岩颗粒在毛管束中的受力和运动,建立了砂岩出砂数学模型,分析了出砂过程动态机理,推导了出砂临界压力梯度公式,该公式从理论上对出砂问题进行了定量表征。敏感性分析表明：随着表皮和表皮厚度的增大,临界压力梯度增大;随着砂粒半径的增大,临界压力梯度也随之增大。为了验证公式的有效性,设计了砂岩出砂物理模拟实验,结果表明平均误差为16%,和实验符合较好。     

Capillary-Tube Model and Experiment of Multiphase Flow in Capillary Fringes

IntroductionUrbanization and industrial activities havesignificant potential to cause soil and groundwatercontamination through leakage,spill and disposalof industrial and household chemicals.Organicchemicals are used everywhere in the world andbecause most are very toxic to human beings anddo not easily degrade naturally[13] ,theircontamination of the soil and groundwater iscausing more and more problems worldwide.　Many contaminants are organic liquids with lowwater miscibility,which may mov…