关键词: 水力压裂, 转向剂, 人工隔层, 数值计算, 数学模型, 工程应用

Abstract: It has already achieved remarkable effect for diverting agent to control height of hydraulic fracturing crack in field engineering. At present, the studies on this technique mainly include the appraisal of field application effect, qualitative description of the basic principle and the laboratory experiment. So it is necessary to do numerical calculation for the effect of artificial barrier. According to slurry settlement theory, a mathematical model was set up about subsidence-stratification for the diverting agent. On the basis of the continuity equation of fluid flow combined with the Darcy's law and the subsidence-stratification mathematical model for the diverting agent, a mathematical expression for the pressure drop of barrier was put forward and used to determine effect for artificial barrier quantitatively. The application example indicated that this computational method might be applied to design compression fracture and make sure craft implementation of technology.

Key words: hydraulic fracturing, diverting agent, artificial barrier, numerical calculation, mathematical model, engineering application