反应渗透不稳定性中的相互作用长度尺度
Interacting length scales in the reactive-infiltration instability
摘要：
反应渗透不稳定性，当多孔基质被流动的流体溶解时，包含两个重要的长度尺度。在这里，我们概述了一个线性稳定性分析，同时将这两个尺度。我们表明，常用的“薄锋”模型是一个更一般的理论，其中还包括对流主导的溶解作为另一种特殊情况下的限制情况。不稳定性的波长从下面被限制，并且对于物理上合理的流速和反应速率，位于1 mm至1 km的范围内。当孔隙率变化较小时，我们得到了生长速率的封闭形式。
英文摘要：
The reactive-infiltration instability, which develops when a porous matrix is dissolved by a flowing fluid, contains two important length scales. Here we outline a linear stability analysis that simultaneously incorporates both scales. We show that the commonly used "thin-front" model is a limiting case of a more general theory, which also includes convection-dominated dissolution as another special case. The wavelength of the instability is bounded from below, and lies in the range 1mm to 1km for physically reasonable flow rates and reaction rates. We obtain a closed form for the growth rate when the change in porosity is small.
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