A Generalized Convection-Diffusion Model for Subgrid Transport in Porous Media
A Generalized Convection-Diffusion Model for Subgrid Transport in Porous Media
复制标题
多孔介质中亚网格输运的广义对流扩散模型
DOI：
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复制
发表时间：
2003
影响因子：
1.6
通讯作者：
L. Durlofsky
中科院分区：
文献类型：
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作者：
Y. Efendiev;L. Durlofsky
非均质地下地层中的输运模型通常需要对亚网格效应进行某种处理。在这项工作中，一个广义的非线性对流扩散模型的亚网格输运在二维系统的发展和应用。该模型，虽然有点启发式，是由以前的研究结果在随机和确定性的框架内的动机。对亚网格扩散项和对流项进行了数值计算。该模型适用于几个例子的情况下，涉及非均质渗透率场和不同的全球边界条件。线性和非线性细尺度通量函数被认为是。粗尺度的含油量（在生产流体中的石油馏分）和全球饱和度fieldgenerated使用新的子网格模型的结果被证明是一致的，更好的协议与参考细尺度的解决方案比粗尺度的结果，使用标准的子网格处理。需要治疗更多的方法的扩展.
Models for transport in heterogeneous subsurface formations usually require some type of treatment for subgrid effects. In this work, a generalized nonlinear convection-diffusion model for subgrid transport in two-dimensional systems is developed and applied. The model, although somewhat heuristic, is motivated by previous findings within both the stochastic and the deterministic frameworks. The numerical calculation of the diffusive and convective subgrid terms is described. The model is applied to several example cases involving heterogeneous permeability fields and different global boundary conditions. Both linear and nonlinear fine scale flux functions are considered. Coarse scale results for oil cut (fraction of oil in the produced fluid) and the global saturation fieldgenerated using the new subgrid model are shown to be in consistently better agreement with reference fine scale solutions than are coarse scale results using standard subgrid treatments. Extensions of the method required to treat more...