JAMP  Vol.2 No.12 , November 2014
Improved Model for Soil as a Two-Phase Mixture Based on Smoothed Particle Hydrodynamics (SPH)
Abstract: It is desired to resolve soil contamination with reduced costs. “Insoluble treatment” is a soil improvement method for heavy metal containing soil, which uses soil mixers to mix soil and soil improvement liquid agents. To reduce the costs of this method, soil mixers have to be optimized. However, it is not achieved due to the lack of theoretical knowledge on mixing solid with liquid. Therefore, a numerical model to simulate the dynamic behavior of solid and liquid is on the development in this study using Smoothed Particle Hydrodynamics (SPH) method. To validate the numerical model, several experiments were carried out and numerically reproduced. The comparisons of the results showed that the numerical model replicated a liquid flow with an error rate of 2.1% and a seepage flow with an error rate up to 26.1%. Especially, the water distribution in the soil pores was highly improved with absolute gaps in volumetric water content up to 4.4% in the porosity range of 10% - 90%. For the water absorption into dry sand, the simulation result became more realistic by concerning soil suction.
Cite this paper: Nakamura, K. , Satomi, T. and Takahashi, H. (2014) Improved Model for Soil as a Two-Phase Mixture Based on Smoothed Particle Hydrodynamics (SPH). Journal of Applied Mathematics and Physics, 2, 1053-1060. doi: 10.4236/jamp.2014.212120.

[1]   Environmental Management Bureau (2014) The Results of the Survey on the Enforcement Status of the Soil Contamination Countermeasures Act & Numbers and Trends of Soil Contamination Investigations and Countermeasures. Ministry of the Environment, Japan.

[2]   Liu, G.R. and Liu, M.B. (2003) Smoothed Particle Hydrodynamics: A Meshfree Particle Method. World Scientific Co. Pte. Ltd., Singapore.

[3]   Cundall, P.A. and Strack, O.D.L. (1979) A Discrete Numerical Model for Granular Assemblies. Geotechnique, 29, 47- 65.

[4]   Maruhashi, F. (2004) Study of the Simulator for Mixing Solids and Liquids with Excavated Soils and Liquid Agents in a Contaminated Soil Improvement Machine. M. E. Thesis, Tohoku University, Japan.

[5]   Coetzee, C.J. and Els, D.N.J. (2009) Calibration of Granular Material Parameters for DEM Modeling and Numerical Verification by Blade-Granular Material Interaction. Journal of Terramechanics, 46, 15-26.

[6]   Koshizuka, S. and Oka, Y. (1996) Moving Particle Semi-Implicit Method for Fragmentation of Incompressible Fluid. Nuclear Science and Engineering, 123, 421-434.

[7]   Lucy, L.B. (1977) A Numerical Approach to the Testing of the Fission Hypothesis. Astronomical Journal, 82, 1013- 1024.

[8]   Gingold, R.A. and Monaghan, J.J. (1977) Smoothed Particle Hydrodynamics: Theory and Application to Non-Spheri- cal Stars. Monthly Notices of the Royal Astronomical Society, 180, 375-389.

[9]   Maeda, K. and Sakai, M. (2004) Development of Seepage Failure Analysis Method of the Granular Ground by Smoothed Particle Hydrodynamics. Journal of JSCE (Applied Mechanics), 7, 775-786.

[10]   Bui, H.H., Sako, K. and Fukagawa, R. (2007) Numerical Simulation of Soil-Water Interaction Using Smoothed Particle Hydrodynamics (SPH) Method. Journal of Terramechanics, 44, 339-346.

[11]   Monaghan, J.J. (1994) Simulating Free Surface Flows with SPH. Journal of Computational Physics, 110, 399-406.

[12]   van Genuchten, R. (1978) Calculating the Unsaturated Hydraulic Con-ductivity with a New Closed-Form Analytical Model. Residential Report, Princeton University, Princeton.

[13]   van Genuchten, M.Th. (1989) A Closed-Form Equation for Predicting the Hydraulic Conductivity of Unsaturated Soils. Soil Science Society of America Journal, 44, 892-898.

[14]   Ishihara, K. (2001) Soil Mechanics. 2nd Edition, Maruzen, Japan.