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| Numerical solution of onedimensional consolidation for saturated soil based on lattice Boltzmann method |
| WANG Zhiliang1, XIN Libin1, SHEN Linfang1, LI Mingyu2 |
| 1.Faculty of Civil Engineering and Architecture, Kunming University of Science and Technology, Kunming, Yunnan 650500, China; 2.School of Civil Engineering, Zhengzhou University, Zhengzhou, Henan 450001, China |
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Abstract In order to study onedimensional Terzagjhi consolidation theory for saturated soil, the equilibrium distribution function of discrete velocity direction is derived based on D1Q2 model. At the same time, the lattice Boltzmann model with discrete time and space is established by applying the BGK approximation to deal with collision term of the Boltzmann equation. Then the microscopic lattice Boltzmann model is reduced to the macroscopic onedimensional consolidation differential equation by using ChapmanEnskog multiscale expansion technique and Taylor formula series expansion method. To make the analysis convenient, the dimensionless method is used to deal with the onedimensional consolidation equation for saturated soil. And the transformation between the physical unit and the lattice one is constructed. Finally, according to lattice Boltzmann method the corresponding calculation program is compiled with visual C[KG-*2]+[KG-*3]+ language, [JP2]at the different time steps the distribution of excess pore water pressure for saturated soil is calculated in case of one side drainage and both sides drainage. The numerical [JP3]results are compared with the classical analytical solutions. Research has shown that the numerical solution of this method is in good agreement with the theoretical solution. The effectiveness of lattice Boltzmann method is verified in the application of onedimensional consolidation for saturated soil.
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Received: 19 September 2016
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