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A Formal Homogenization Approach to Piping Flow Erosion with Deposition in a Spatially Heterogeneous Soil
Journal of Advances in Mathematics and Computer Science
We model and simulate piping erosion phenomena with deposition in a spatially heterogeneous soil mass motivated by seepage flow. The soil is considered to be a porous media with periodic positioning of pores spread around cylindrical structures or microstructures making the heterogeneities periodic in space.The period of the heterogeneities defines a microscopic length scale ϵ of the microscopic problem and this allows the use of periodic homogenization methods.We studied the asymptoticdoi:10.9734/jamcs/2020/v35i330257 fatcat:2hunppuf6bhhlc2eqvv2duni3a