• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文会议>International Conference on Advances in Fluid Mechanics >Displacement of non-Newtonian compressible fluids in plane porous media flow
【24h】

Displacement of non-Newtonian compressible fluids in plane porous media flow

机译：平面多孔介质流动中非牛顿可压缩液的位移

获取原文
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

Displacement of non-Newtonian fluid in porous media is of paramount importance in the flow modeling of oil reservoirs. Although numerical solutions are available, there exists a need for closed-form solutions in simple geometries. Here we revisit and expand the work of Pascal and Pascal [4], who analyzed the dynamics of a moving stable interface in a semi-infinite porous domain saturated by two fluids, displacing and displaced, both non-Newtonian of power-law behavior, assuming continuity of pressure and velocity at the interface, and constant initial pressure. The flow law for both fluids is a modified Darcy's law. Coupling the nonlinear flow law with the continuity equation considering the fluids compressibility, yields a set of nonlinear second-order PDEs. If the fluids have the same consistency index n, the equations can be transformed via a self-similar variable; incorporation of the conditions at the interface shows the existence of a compression front ahead of the moving interface. After some algebra, one obtains a set of nonlinear equations, whose solution yields the location of the moving interface and compression front, and the pressure distributions. The previous equations include integrals which can be expressed by analytical functions if n is of the form k/(k+1) or (2k-1)/(2k+1), with k a positive integer. Explicit expressions are provided for k = 1, 2; for other values, results are easily obtained via recursive formulae. All results are presented in dimensionless form; the pressure distribution and interface positions are studied and discussed as a function of the self-similar variable for different values of the mobility and compressibility ratios.
机译：非牛顿流体在多孔介质中的位移在储油储存器的流动建模中至关重要。虽然有数字解决方案可用，但需要在简单的几何形状中闭合溶液。在这里，我们重新审视并扩大了Pascal和Pascal [4]的工作，他们分析了由两个流体，流离失所的饱和和流离失所的半无限多孔结构域中移动稳定界面的动态，包括非牛顿行为，假设界面处的压力和速度的连续性，以及恒定的初始压力。两种流体的流动法是一个改进的达西法律。将非线性流动定律与考虑流体压缩性的连续性等式耦合，产生一组非线性二阶PDE。如果流体具有相同的一致性折射率N，则可以通过自相似变量转换等式。在界面处的条件结合显示了移动接口前面的压缩前部的存在。在一些代数之后，获得一组非线性方程，其解决方案产生移动界面和压缩前部的位置和压力​​分布。先前的等式包括可以通过分析功能表示的积分，如果n为k /（k + 1）或（2k-1）/（2k + 1），则具有k个正整数。为k = 1,2提供显式表达式;对于其他值，结果通过递归公式容易地获得。所有结果都以无量纲形式提出;研究了压力分布和接口位置，并作为自类似变量的函数，用于不同的移动性和可压缩比的不同值。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号