论文标题
用支撑剂传输模型的增强液压破裂的增强伪-3D模型的耦合
The coupling of an enhanced pseudo-3D model for hydraulic fracturing with a proppant transport model
论文作者
论文摘要
本文介绍了液压压裂和支撑剂传输的耦合模型。前者是用增强的伪3D模型来描述的，该模型考虑了两个对称应力屏障之间的身高增长，而后者则由二维传输模型给出，这是源自椭圆形方程的流体压力和对流方程的求解方程。这两个子模块使用在液压部分中的隐式时间积分进行数值求解，并在传输部分中逐步踏上时间。除此之外，插值还用于将两种具有不同网格的模型近情化。为不同的配置提供了几个数值模拟的结果，以证明这两个模块之间的相互作用。特别是，开发的耦合方案使我们能够研究与裂缝内复杂流体流相关的现象，例如萨夫曼 - 泰勒不稳定的情况。
This paper presents the coupled model of a hydraulic fracturing and proppant transport. The former is described in terms of enhanced pseudo-3D model that considers height growth across two symmetric stress barriers, while the latter is given by two-dimensional transport model, stemming from the solution of an elliptical equation for fluid pressure and advection equation for the proppant transport. These two sub-modules are solved numerically using implicit time integration in hydraulic part and explicit time stepping in the transport part. In addition to that, interpolation is used to couple the two models with different grids. Results of several numerical simulations are presented for different configurations to demonstrate the interplay between these two modules. In particular, the developed coupled scheme allows us to study phenomena associated with complex fluid flow within the fracture, such as for the case of Saffman-Taylor instability.
