Viscoelastic polymer solution shows shear thinning behavior at low shear rates and shear thickening behavior at high shear rates in reservoirs. However, models that ignored shear thickening behavior were commonly employed to interpret transient pressure data derived from tested wells in viscoelastic polymer flooding systems; although, viscoelastic polymer solutions show shear thickening behavior in the near-wellbore region due to high shear rate. To better characterize the oilfield with pressure transient analysis in viscoelastic polymer flooding systems, we developed a numerical model that takes into account both shear thinning behavior and shear thickening behavior. A finite volume method was employed to discretize partially differential flow equations in a hybrid grid system including PEBI mesh and Cartesian grid, and the Newton-Raphson method was used to solve the fully implicit nonlinear system. To illustrate the significance of our model, we compared our model with a model that ignores the shear thickening behavior by graphing their solutions on log-log plots. In the flow regime of near-wellbore damage, the pressure derivative computed by our model is distinctly larger than that computed by the model ignoring shear thickening behavior. Furthermore, the effect of shear thickening behavior on pressure derivative differs from that of near-wellbore damage. We then investigated the influence of shear thickening behavior on pressure derivative with different polymer injection rates, injection rates, and permeabilities. The results can provide a benchmark to better estimate near-wellbore damage in viscoelastic polymer flooding systems. Besides, we demonstrated the applicability and accuracy of our model by interpreting transient pressure data from a field case in an oilfield with viscoelastic polymer flooding treatments.

中文翻译：

---

粘弹性聚合物流变学对近井区压力瞬态响应的影响

粘弹性聚合物溶液在储层中显示出低剪切速率下的剪切稀化行为和高剪切速率下的剪切增稠行为。然而，忽略剪切增稠行为的模型通常用于解释粘弹性聚合物驱系统中测试井的瞬态压力数据；然而，由于高剪切速率，粘弹性聚合物溶液在近井筒区域表现出剪切增稠行为。为了通过粘弹性聚合物驱系统中的压力瞬变分析更好地表征油田，我们开发了一个数值模型，该模型同时考虑了剪切稀化行为和剪切稠化行为。在包括 PEBI 网格和笛卡尔网格在内的混合网格系统中，采用有限体积方法离散偏微分流动方程，采用Newton-Raphson方法求解全隐式非线性系统。为了说明我们模型的重要性，我们将我们的模型与忽略剪切增稠行为的模型进行了比较，该模型通过在对数图上绘制它们的解决方案。在近井眼损伤流态中，我们的模型计算的压力导数明显大于忽略剪切增稠行为的模型计算的压力导数。此外，剪切增稠行为对压力导数的影响不同于近井眼损伤。然后，我们研究了剪切增稠行为对不同聚合物注入速率、注入速率和渗透率的压力导数的影响。结果可以为更好地估计粘弹性聚合物驱系统中近井眼损害提供基准。除了，