The Saffman-Taylor instability of polymeric fluids flooding through saturated heterogeneous porous media is studied numerically. The displacement of a Newtonian fluid by a viscoelastic liquid is examined using a Hartley transformation and a fourth-order Adams-Bashforth technique. The flow is assumed to be miscible, and the Carreau-Yasuda equation is used to model the shear-thinning viscometric functions. The effects of different rheological properties and domain parameters on flow instability are studied in detail. It is found that a channeling regime is possible as the main difference between displacements through homogeneous and heterogeneous media.

中文翻译：

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弹性和非线性粘度对非均质多孔介质中指状不稳定性的影响

对通过饱和非均质多孔介质的聚合物流体驱油的萨夫曼-泰勒不稳定性进行了数值研究。使用 Hartley 变换和四阶 Adams-Bashforth 技术检查粘弹性液体对牛顿流体的位移。假定流动是可混溶的，并使用 Carreau-Yasuda 方程对剪切稀化粘度函数进行建模。详细研究了不同流变特性和域参数对流动不稳定性的影响。研究发现，沟道机制可能是均匀介质和非均匀介质位移之间的主要区别。