建立了非均质地层中考虑弛张特性的黏弹性稠油驱替的一维数学模型 ,并进行了解析求解 ,所得结果与一般非牛顿原油的驱替进行了比较 ,着重分析了在非均质地层中原油弛张特性对原油采收率的影响 .分析表明 :一定条件下 ,具有不同渗透率小层的地层内驱替黏弹性原油时 ,其采收率比驱替等黏度牛顿原油的要高 ,并且 ,相对采收率 (水驱黏弹性原油的采收率与驱替等黏度牛顿原油的采收率之比 )与地层非均质的变化呈非单调关系 A one-dimensional mathematical model of viscoelastic heavy oil displacement in the heterogeneous stratum considering the relaxation behavior was established and solved analytically. The results were compared with those of non-Newtonian crude oil, The results show that under certain conditions, when the viscoelastic crude oil is flooded in the formations with different permeability, the recovery rate is higher than that of the oil with the same viscosity as the displacement of Newtonian crude oil , And the relative recovery (the ratio of oil recovery of viscoelastic crude oil to oil recovery of viscous Newtonian oil) is non-monotonic with the heterogeneity of strata