Anisotropy distorts the spreading of a fixed volume porous gravity current

IF 2.9 3区 综合性期刊 Q1 MULTIDISCIPLINARY SCIENCES
Graham P. Benham
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引用次数: 0

Abstract

We consider the release and subsequent gravity-driven spreading of a dense finite volume of fluid in an anisotropic porous medium bounded by an impermeable substrate. When the permeability in the vertical direction is much smaller than in the horizontal direction, as is the case in many real geological reservoirs, this restricts the spread of the current to a very thin layer near the impermeable base. Using a combination of asymptotic analysis and finite difference computations of Darcy flow, we show that there exist two distinct flow regimes. At early times, the bulk of the current descends slowly and uniformly, injecting fluid into thin finger-like regions near the base. At much later times, the current transitions to the classical gravity-driven solution and continues to spread with a self-similar shape. One interesting consequence is that the swept volume of the current grows differently depending on the anisotropy of the medium. This has important consequences for managing contaminant spills, where it is important to minimize the contacted volume of the aquifer, or during geological CO 2 sequestration where a larger contacted volume results in more CO 2 being stored.
各向异性扭曲了固定体积多孔重力电流的扩散
我们考虑了由不透水基材包围的各向异性多孔介质中致密有限体积流体的释放和随后的重力驱动扩散。当垂直方向的渗透率远小于水平方向时,就像在许多真实的地质储层中一样,这限制了电流在不透水基底附近的非常薄的一层。利用渐近分析和有限差分计算相结合的方法,我们证明了达西流存在两种不同的流型。在早期,大部分电流缓慢而均匀地下降,将液体注入基部附近的细手指状区域。在很晚的时候,电流转变为经典的重力驱动的解决方案,并继续以自相似的形状传播。一个有趣的结果是,电流的扫过体积随着介质的各向异性而变化。这对管理污染物泄漏具有重要的影响,在这种情况下,重要的是尽量减少含水层的接触体积,或者在地质二氧化碳封存期间,较大的接触体积导致更多的二氧化碳被储存。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
6.40
自引率
5.70%
发文量
227
审稿时长
3.0 months
期刊介绍: Proceedings A has an illustrious history of publishing pioneering and influential research articles across the entire range of the physical and mathematical sciences. These have included Maxwell"s electromagnetic theory, the Braggs" first account of X-ray crystallography, Dirac"s relativistic theory of the electron, and Watson and Crick"s detailed description of the structure of DNA.
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