基于灰色关联分析的出砂室内实验研究

Laboratory Experiments of Sand Production Based on Gray Relational Analysis

基于物质守恒方程,设计室内填砂管实验模拟地层不同出砂情况,研究出砂对含水的影响,并利用灰色关联分析法分析出砂、含水与其他实验参数的关联程度。研究发现未出砂、出砂0.5%、出砂1%地层孔隙度随驱替分别呈下降、上升、先升后降趋势;含水饱和度随驱替迅速上升并逐渐稳定,对出砂情况变化不敏感;渗透率随出砂量增加呈上升趋势,并在整个驱替过程中保持稳定。灰色关联分析发现:含水饱和度对出砂影响最大,其次为孔隙度、目数、压差和渗透率;孔隙度对含水饱和度的影响最大,其他依次为压差、目数、渗透率、出砂量。基于灰色关联分析的结果,提出防砂控水的措施,以指导现场施工。

Based on the conservation of mass equation, indoor sand-filled pipe experiment was designed to simulate the situation of different sand production in formation. The effect of sand production on the water content was studied, and grey correlation analysis method was used to analyze the associate degrees of sand producing, water content and other experimental parameters. Study finds the porosity of no sand production, 0. 5% sand produc- tion and 1% sand production formation separately appear the trend of fall, rise, first increase and then decrease along with displacement; water saturation rapidly increased along with displacement and gradual stability, not sensitive to changes of sand production; upward trend in the increased permeability with sand production, keep stable during the whole displacement process. Grey correlation analysis present： water saturation has greatest influence on sand production, and then followed by porosity, mesh number, pressure difference and permeability; porosity has greatest influence on water saturation, and then followed by pressure difference, mesh number, per- meability and sand production rate. Based on grey correlation analysis, sand prevention and water control measures were proposed to guide field construction.