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Simulation of Seepage through Fixed Porous Media Using the Smoothed Particle Hydrodynamics Method

机译:光滑粒子流体动力学方法模拟固定多孔介质的渗流

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Seepage of water through soil media, if not controlled, may lead to erosion of earth dams and their foundations and eventually can result in instability and failure. Thus, understanding of flow of water through porous media and accurately modeling of this phenomenon are of great importance in geotechnical engineering. In this study, smoothed particle hydrodynamics (SPH) method is utilized to simulate a 2D pressure-driven vertical flow through fixed porous media. To model fluid motion, the spatially averaged Navier-Stokes equations are implemented into SPH formulations. The spatial heterogeneity and anisotropy of pore space are introduced in the model using local porosity values imported from granular samples created using the discrete element method (DEM). Fluid-solid coupling is considered using classic semi-empirical equations. A SPH model is developed using one-way coupling method, to simulate flow of water through fixed porous media under various hydraulic gradients caused by different mechanisms (e.g., pressure gradient, body force). The effects of porosity values and hydraulic gradients on discharge velocity are studied. The results are compared against published simulation results to validate the developed SPH model.
机译:如果不加以控制,水通过土壤介质的渗漏可能会导致土坝及其地基的侵蚀,并最终导致不稳定和破坏。因此,了解水在多孔介质中的流动以及对该现象的精确建模在岩土工程中非常重要。在这项研究中,平滑粒子流体动力学(SPH)方法被用于模拟通过固定多孔介质的二维压力驱动的垂直流。为了对流体运动建模,将空间平均的Navier-Stokes方程实现为SPH公式。使用从使用离散元方法(DEM)创建的颗粒状样品中导入的局部孔隙率值,在模型中引入孔隙空间的空间异质性和各向异性。使用经典的半经验方程式来考虑流固耦合。使用单向耦合方法开发了SPH模型,以模拟在不同机制(例如压力梯度,体力)引起的各种水力梯度下,水流过固定多孔介质的过程。研究了孔隙度值和水力梯度对排出速度的影响。将结果与已发布的仿真结果进行比较,以验证开发的SPH模型。

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