A peridynamic model of flow in porous media |
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| Institution: | 1. Department of Agricultural and Biological Engineering, Purdue University, West Lafayette, IN, USA;2. Department of Biological and Agricultural Engineering, Texas A&M University, College Station, TX, USA;3. Zachry Department of Civil Engineering, Texas A&M University, College Station, TX, USA;1. Department of Aerospace and Mechanical Engineering, The University of Arizona, Tucson, AZ 85721, USA;2. Intel Corporation, Chandler, AZ 85226, USA;1. Department of Aerospace and Mechanical Engineering, The University of Arizona, Tucson, AZ 85721, USA;2. Fuels Modeling & Simulation, Idaho National Laboratory, Idaho Falls, ID 83402, USA;1. Department of Aerospace and Mechanical Engineering, The University of Arizona, Tucson, AZ 85721, USA;2. Naval Air Systems Command (NAVAIR), Patuxent River, MD 20670, USA;3. Department of Engineering Mechanics, Hohai University, Nanjing, PR China;1. Department of Chemical Engineering, The University of Utah, UT 84112, USA;2. Department of Mining Engineering, The University of Utah, UT 84112, USA;3. Energy and Geoscience Institute, University of Utah, USA |
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| Abstract: | This paper presents a nonlocal, derivative free model for transient flow in unsaturated, heterogeneous, and anisotropic soils. The formulation is based on the peridynamic model for solid mechanics. In the proposed model, flow and changes in moisture content are driven by pairwise interactions with other points across finite distances, and are expressed as functional integrals of the hydraulic potential field. Peridynamic expressions of the rate of change in moisture content, moisture flux, and flow power are derived, as are relationships between the peridynamic and the classic hydraulic conductivities; in addition, the model is validated. The absence of spacial derivatives makes the model a good candidate for flow simulations in fractured soils and lends itself to coupling with peridynamic mechanical models for simulating crack formation triggered by shrinkage and swelling, and assessing their potential impact on a wide range of processes, such as infiltration, contaminant transport, and slope stability. |
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| Keywords: | Flow Unsaturated soil Soil cracking Peridynamics Non-local model Derivative-free model |
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