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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 knownnto exhibit hysteresis. In this paper, we focus on the determination of the water retention curve forna porous medium through a novel pore-scale simulation technique that is based on mathematicalnmorphology. We develop an algorithm that allows for the representation of three-dimensionalnrandomly packed porous media of any geometry (i.e. not restricted to idealized geometriesnsuch as spherical or ellipsoidal particles/pore space) so that the connectivity-, tortuosity-, andnhysteresis-causing mechanisms are represented in both drainage and wetting processes, and theirnrole in determining macroscopic fluid behavior is made explicit. Using this method, we presentnsimulation results that demonstrate hysteretic behavior of wetting and non-wetting phases duringnboth drainage and wetting cycles. A new method for computing interfacial surface areas isndeveloped. The pore-morphology-based method is critically evaluated for accuracy, sample sizeneffects, and resolution effects. It is found that the method computes interfacial areas morenaccurately than existing methods and allows for (i) examination of relationships between waternpressure, saturation and interfacial area for hysteretic soils, and (ii) comparisons with previouslyndeveloped theoretical models of soil hydraulic properties. The pore-morphology-based methodnshows promise for applications in vadose zone hydrology.
机译：已知与饱和度，水压和水力传导率有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无规填充的多孔介质（即不限于理想的几何形状，例如球形或椭圆形颗粒/孔空间），以便表示引起连接，曲折和滞后的机制在排水和润湿过程中，它们在确定宏观流体行为中的作用都明确了。使用这种方法，我们提出了模拟结果，该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。严格评估基于孔形态的方法的准确性，样品大小的影响和分离效果。发现该方法比现有方法更准确地计算了界面面积，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。基于孔隙形态学的方法在渗流带水文学中具有广阔的应用前景。

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