Sintered materials are used as permeable filters and flow controllers, for which a validated and general model of porosity and permeability is required. Here, we prepare samples built from mono- and polydisperse glass bead populations sintered for known times at high temperature, and then measure the sample porosity and permeability. We supplement our new dataset with published permeability data for sintered systems including high-temperature in situ determinations of permeability during sintering. We test a range of mathematical models for the change in permeability with porosity as sintering progresses from a value for the initial granular particle packing geometry, down to the percolation threshold at low porosity. We find good agreement between our datasets and a preferred theoretical approach – a percolation theory model – with no explicit requirement for empirical adjustment. However, we propose semi-empirical steps that generalize this theory to a universal description across all porosities. Finally, we quantify the inertial component of fluid transport at high flow rates through these materials. Our model framework is made available via a user-friendly downloadable spreadsheet which takes particle size distribution as an input and provides permeability as an output.

烧结材料用作可渗透过滤器和流量控制器，为此需要经过验证的通用孔隙率和渗透率模型。在这里，我们准备了由在高温下烧结已知时间的单分散和多分散玻璃珠群制成的样品，然后测量样品的孔隙率和渗透率。我们使用已发布的烧结系统渗透率数据（包括原位高温）来补充我们的新数据集烧结过程中渗透性的测定。我们测试了一系列数学模型，以了解随着烧结从初始颗粒填充几何形状的值下降到低孔隙率下的渗滤阈值时渗透率随孔隙率的变化。我们发现我们的数据集与首选理论方法（渗透理论模型）之间有很好的一致性，没有明确的经验调整要求。然而，我们提出了将这一理论推广到所有孔隙度的普遍描述的半经验步骤。最后，我们量化了通过这些材料的高流速流体传输的惯性分量。我们的模型框架通过用户友好的可下载电子表格提供，该电子表格将粒度分布作为输入并提供渗透率作为输出。