Abstract This paper addresses the calculation of the relative permeability of concrete and rocks with a model that is aimed at being implemented in large scale computations for evaluating the tightness of vessels. To this end, it is necessary to rely on some fast procedure and a random hierarchical capillary approach is used. It is based on the extension of an existing model proposed initially to describe the evolution of the intrinsic permeability of mortar undergoing micro-cracking. First, the efficiency of this existing model is tested on several types of concretes and rocks, with permeability spanning over 6 orders of magnitude. Then, the model is adapted to obtain the relative permeability to gas and liquid as a function of the saturation of the porous solid with respect to the liquid phase. The extended model is shown to provide reasonably accurate predictions for several concretes and rocks tested in the literature.

中文翻译：

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从孔径分布预测渗透率和相对渗透率

摘要 本文讨论了混凝土和岩石相对渗透率的计算，该模型旨在在大规模计算中实施以评估容器的密封性。为此，必须依靠一些快速程序并使用随机分层毛细管方法。它基于最初提出的现有模型的扩展，用于描述发生微裂纹的砂浆固有渗透性的演变。首先，该现有模型的效率在多种类型的混凝土和岩石上进行了测试，渗透率超过 6 个数量级。然后，该模型适用于获得作为多孔固体相对于液相的饱和度的函数的气体和液体的相对渗透率。