论文标题
多孔媒体中非牛顿泡沫流的行驶波解决方案
Traveling wave solutions for non-Newtonian foam flow in porous media
论文作者
论文摘要
多孔介质中的注射和原位泡沫成功地控制了气体迁移率，并提高了流体在多孔介质内的扫描效率。描述此问题的数学模型使用两个阶段，即泡沫气体和流体，通常具有泡沫产生和破坏的术语。此外，非牛顿泡沫行为通常是使用hirasaki和Lawson的泡沫粘度公式来建模的。在本文中，我们详细介绍了如何使用恒定的总表面流速以恒定的总表面流速估算多孔培养基中一系列非牛顿泡沫模型的传播曲线和速度。我们以明确的形式重新重新制定了Hirasaki和Lawson的公式，使我们能够找到非牛顿线性动力学模型的波动波解决方案。将解决方案与牛顿版本的解决方案进行比较，使我们能够在多孔介质中对泡沫流的流动性进行定性和定量分析。
The injection and in-situ generation of foam in porous media successfully control gas mobility and improve the fluids' sweep efficiency inside porous media. Mathematical models describing this problem use two phases, foamed gas and fluid, and usually have a term for foam generation and destruction. Moreover, the non-Newtonian foam behavior is frequently modeled using the Hirasaki and Lawson's formula for foamed gas viscosity. In this paper, we detail how the traveling wave analysis can be used to estimate the propagation profiles and velocity for a range of non-Newtonian foam models in porous media at constant total superficial flow velocity. We reformulate Hirasaki and Lawson's formula in an explicit form allowing us to find traveling wave solutions for the non-Newtonian Linear Kinetic model. Comparing the solution with the one for the Newtonian version, allows us to analyze qualitatively and quantitatively the rheology of the foam flow in porous media.
