An adaptive model for the description of flows in highly heterogeneous porous media is developed in~\cite{FP21,FP23}. There, depending on the magnitude of the fluid's velocity, the constitutive law linking velocity and pressure gradient is selected between two possible options, one better adapted to slow motion and the other to fast motion. We propose here to validate further this adaptive approach by means of more extensive numerical experiments, including a three-dimensional case, as well as to use such approach to determine a partition of the domain into slow- and fast-flow regions.

翻译：文献[FP21,FP23]开发了一种用于描述高非均质多孔介质流动的自适应模型。在该模型中，根据流体速度的大小，在两种可能的本构关系（一种更适用于慢速流动，另一种更适用于快速流动）之间选择连接速度与压力梯度的本构关系。本文旨在通过更广泛的数值实验（包括三维算例）进一步验证该自适应方法，并利用该方法划分出域内的慢速流动区域与快速流动区域。