Soriano Jordi, Ortín Jordi, Hernández-Machado A
Departament d'Estructura i Constituents de la Matèria, Universitat de Barcelona, Avenida Diagonal 647, E-08028 Barcelona, Spain.
Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Sep;66(3 Pt 1):031603. doi: 10.1103/PhysRevE.66.031603. Epub 2002 Sep 16.
We have studied the kinetic roughening of an oil-air interface in a forced imbibition experiment in a horizontal Hele-Shaw cell with quenched disorder. Different disorder configurations, characterized by their persistence length in the direction of growth, have been explored by varying the average interface velocity v and the gap spacing b. Through the analysis of the rms width as a function of time, we have measured a growth exponent beta approximately 0.5 that is almost independent of the experimental parameters. The analysis of the roughness exponent alpha through the power spectrum has shown different behaviors at short (alpha(1)) and long (alpha(2)) length scales, separated by a crossover wave number q(c). The values of the measured roughness exponents depend on experimental parameters, but at large velocities we obtain alpha(1) approximately 1.3 independently of the disorder configuration. The dependence of the crossover wave number with the experimental parameters has also been investigated, measuring q(c) approximately v(0.47) for the shortest persistence length, in agreement with theoretical predictions.
我们在一个具有淬火无序的水平Hele-Shaw细胞中进行的强制吸渗实验中，研究了油-气界面的动力学粗糙化现象。通过改变平均界面速度v和间隙间距b，探索了不同的无序构型，这些构型由它们在生长方向上的持久长度来表征。通过分析均方根宽度随时间的变化，我们测量到一个生长指数β约为0.5，该指数几乎与实验参数无关。通过功率谱对粗糙度指数α的分析表明，在短长度尺度（α(1)）和长长度尺度（α(2)）上表现出不同的行为，由一个交叉波数q(c)分隔。测量得到的粗糙度指数的值取决于实验参数，但在高速度下，我们得到α(1)约为1.3，与无序构型无关。还研究了交叉波数与实验参数的依赖性，对于最短的持久长度，测量到q(c)约为v(0.47)，这与理论预测一致。
