论文标题
关于在液压断裂问题中的简化流体模型应用
On the application of simplified rheological models of fluid in the hydraulic fracture problems
论文作者
论文摘要
在本文中，我们分析了由非牛顿剪切液驱动的液压骨折问题。对于PKN断裂几何形状，我们考虑了流体的三种不同的流变学模型：i）carreau液，ii）截断的幂律流体，iii）幂律流体。对于这些模型，进行了许多模拟。结果是后处理的，并彼此进行了比较，以便找到相似性/差异的决定性因素。结果表明，在某些条件下，即使基本的幂律流变性也可以很好地替代Carreau特征。尽管对于特定的流体，不能先验得出这样的结论，但是基于流体剪切速率的平均值的后处理是验证简化流变学模型获得的结果可信度的非常好的工具。截断的幂律流变性是Carreau模型的一个很好的选择。它始终产生的结果与等效carreau液所获得的结果非常相似，并且同时提供了相对易于实现的易用性。
In this paper we analyse a problem of a hydraulic fracture driven by a non-Newtonian shear-thinning fluid. For the PKN fracture geometry we consider three different rheological models of fluid: i) the Carreau fluid, ii) the truncated power-law fluid, iii) the power-law fluid. For each of these models a number of simulations are performed. The results are post-processed and compared with each other in order to find decisive factors for similarities/dissimilarities. It is shown that under certain conditions even the basic power-law rheology can be a good substitute for the Carreau characteristics. Although for a particular fluid such a conclusion cannot be made a priori, post-processing based on average values of the fluid shear rates is a very good tool to verify credibility of the results obtained for simplified rheological models. The truncated power-law rheology is a good alternative for the Carreau model. It always produces results that are very similar to those obtained with the equivalent Carreau fluid and simultaneously provides a relative ease of numerical implementation.
