The equations of motion in a macroscopically inhomogeneous porous medium saturated by a fluid are derived. As a first verification of the validity of these equations, a two-layer rigid frame porous system considered as one single porous layer with a sudden change in physical properties is studied. A simple wave equation is derived and solved for this system. The reflection and transmission coefficients are calculated numerically using a wave splitting-Green's function approach (WS-GF). The reflected and transmitted wave time histories are also simulated. Experimental results obtained for materials saturated by air are compared to the results given by this approach and to those of the classical transfer matrix method (TMM).
翻译:在液态饱和的大型不相容多孔介质中,产生运动方程式。作为对这些方程式有效性的第一次核查,正在研究一个两层硬框架多孔系统,它被视为单一的单孔层,物理特性突变。为这个系统,可以产生一个简单的波方程式,并解决这个系统。反射和传输系数是用波分裂-绿色函数法(WS-GF)计算的数字。反射和传输波时间历史也模拟。空气饱和材料的实验结果与这一方法以及典型转移矩阵法(TMM)的结果进行了比较。