Sadjadi Zeinab, Rieger Heiko
Theoretical Physics, Saarland University, 66041 Saarbrücken, Germany.
Phys Rev Lett. 2013 Apr 5;110(14):144502. doi: 10.1103/PhysRevLett.110.144502. Epub 2013 Apr 2.
We present a scaling theory for the long time behavior of spontaneous imbibition in porous media consisting of interconnected pores with a large length-to-width ratio. At pore junctions, the meniscus propagation in one or more branches can come to a halt when the Laplace pressure of the meniscus exceeds the hydrostatic pressure within the junction. We derive the scaling relations for the emerging arrest time distribution and show that the average front width is proportional to the height, yielding a roughness exponent of exactly β = 1/2 and explaining recent experimental results for nanoporous Vycor glass. Extensive simulations of a pore network model confirm these predictions.
我们提出了一种关于多孔介质中自发渗吸长时间行为的标度理论，该多孔介质由具有大长宽比的相互连接的孔隙组成。在孔隙交汇处，当弯月面的拉普拉斯压力超过交汇处内的静水压力时，弯月面在一个或多个分支中的传播可能会停止。我们推导出了出现的停滞时间分布的标度关系，并表明平均前沿宽度与高度成正比，得出粗糙度指数恰好为β = 1/2，这解释了最近关于纳米多孔Vycor玻璃的实验结果。对孔隙网络模型的大量模拟证实了这些预测。
