Generalized Buckley–Leverett theory for two-phase flow in porous media
Generalized Buckley–Leverett theory for two-phase flow in porous media
复制标题
多孔介质中两相流的广义巴克利-莱弗里特理论
DOI：
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
Rudolf Hilfer
中科院分区：
文献类型：
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作者：
Florian Doster;Rudolf Hilfer;Rudolf Hilfer
滞后现象和流体滞留现象给多孔介质中的流动理论提出了尚未解决的问题。多孔介质中不混溶两相驱替的广义宏观混合物理论（Hilfer 2006 b Phys. Rev. E 73 016307）引入了非混溶相和混溶相。它是在这里研究的分析听话的双曲极限。在此极限下，存在类似于传统理论的分流公式。用特征线法在一维空间中解析地求解了黎曼问题。初边值问题表现出类似于传统Buckley-Leverett理论的激波和稀疏波。然而，与传统理论相反，广义理论允许同时排水和吸胀过程。同样允许涉及流动逆转的置换过程。发现了在蒸发和非蒸发流体中两个方向上的激波阵面和稀疏波，可以直接与实验进行比较。
Hysteresis and fluid entrapment pose unresolved problems for the theory of flow in porous media. A generalized macroscopic mixture theory for immiscible two-phase displacement in porous media (Hilfer 2006b Phys. Rev. E 73 016307) has introduced percolating and nonpercolating phases. It is studied here in an analytically tractable hyperbolic limit. In this limit a fractional flow formulation exists, that resembles the traditional theory. The Riemann problem is solved analytically in one dimension by the method of characteristics. Initial and boundary value problems exhibit shocks and rarefaction waves similar to the traditional Buckley–Leverett theory. However, contrary to the traditional theory, the generalized theory permits simultaneous drainage and imbibition processes. Displacement processes involving flow reversal are equally allowed. Shock fronts and rarefaction waves in both directions in the percolating and the nonpercolating fluids are found, which can be compared directly to experiment.
渗透作为宏观毛细管现象的基本概念
影响因子：
2.7
作者：
Hilfer;Doster
通讯作者：
Doster