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Pore-morphology-based simulations of drainage and wetting processes in porous media

机译：基于孔隙形态学的多孔介质排水和润湿过程模拟

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Soil hydraulic properties relating saturation, water pressure, and hydraulic conductivity are known to exhibit hysteresis, in this paper, we focus on the determination of the water retention curve for a porous medium through a novel pore-scale simulation technique that is based on mathematical morphology. We develop an algorithm that allows for the representation of three-dimensional randomly packed porous media of any geometry (i.e. not restricted to idealized geometries such as spherical or ellipsoidal particles/pore space) so that the connectivity-, tortuosity-, and hysteresis-causing mechanisms are represented in both drainage and wetting processes, and their role in determining macroscopic fluid behavior is made explicit. Using this method, we present simulation results that demonstrate hysteretic behavior of wetting and non-wetting phases during both drainage and wetting cycles. A new method for computing interfacial surface areas is developed. The pore-morphology-based method is critically evaluated for accuracy, sample size effects, and resolution effects. It is found that the method computes interfacial areas more accurately than existing methods and allows for (i) examination of relationships between water pressure, saturation and interfacial area for hysteretic soils, and (ii) comparisons with previously developed theoretical models of soil hydraulic properties. The pore-morphology-based method shows promise for applications in vadose zone hydrology.
机译：已知与饱和度，水压和水力传导率相关的土壤水力学特性表现出滞后性，在本文中，我们着重于通过一种基于数学形态学的新型孔隙尺度模拟技术，确定多孔介质的保水曲线。 。我们开发了一种算法，该算法可以表示任何几何形状的三维随机堆积的多孔介质（即，不限于理想的几何形状，例如球形或椭圆形颗粒/孔空间），从而导致连通性，曲折性和滞后性在排水和润湿过程中均表现出机理，并明确了它们在确定宏观流体行为中的作用。使用这种方法，我们给出了模拟结果，这些结果证明了在排水和润湿周期中润湿阶段和非润湿阶段的滞后行为。开发了一种计算界面表面积的新方法。对基于孔形态的方法进行了严格的准确性，样品量影响和分辨率影响评估。发现该方法比现有方法更准确地计算界面面积，并且允许（i）检查滞后土壤的水压，饱和度和界面面积之间的关系，以及（ii）与先前开发的土壤水力特性理论模型进行比较。基于孔形态学的方法显示了在渗流带水文学中的应用前景。

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