| Citation: |
CAI Peichen, QUE Yun, JIANG Zhenliang, YANG Pengfei. Lattice Boltzmann meso-seepage research of reconstructed soil based on the quartet structure generation set[J]. Hydrogeology & Engineering Geology, 2022, 49(2): 33-42. doi: 10.16030/j.cnki.issn.1000-3665.202106036
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Lattice Boltzmann meso-seepage research of reconstructed soil based on the quartet structure generation set
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Abstract
Reconstruction of the porous media model is the basis and key to the study of the meso-seepage mechanism of soil. The soil models are constructed by the quartet structure generation set (QSGS), and the lattice Boltzmann method (LBM) is used to examine the meso-seepage mechanism of the reconstructed soil under different conditions through MATLAB self-programming. The results show that the degree of pore connectivity increases significantly as the model size increases. The 300×300 grid size model has the largest increase in the connected porosity (34.38%). If the model size continues to be expanded, the increase is not obvious. Fluid particles can form the main seepage channel in the area with good pore connectivity and large pore size, and there is a fingering effect. The flow velocity in the middle of the pore channel is the largest, up to 0.0324. The flow velocity is getting smaller and smaller when it gets closer and closer to the pore wall. The velocity of the large porosity soil is larger than that of the small porosity soil, and the velocity of the low porosity soil is more stable than that of the large porosity soil. Comparing the calculation results of LBM simulation permeability with those of the typical K-C formula, it is found that the higher the porosity, the more accurate the calculation of permeability (n=0.78, the error is 10.22%). The smaller the soil particles, the narrower the seepage channels and the denser the distribution. The corresponding velocity field distribution is more uniform, and the flow velocity is also smaller. The research results can better reveal the meso-seepage mechanism of the reconstructed soil, and can also provide a certain reference for the existing meso-soil pore flow research methods.
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References
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CAI Peichen, QUE Yun, JIANG Zhenliang, YANG Pengfei. Lattice Boltzmann meso-seepage research of reconstructed soil based on the quartet structure generation set[J]. Hydrogeology & Engineering Geology, 2022, 49(2): 33-42. doi: 10.16030/j.cnki.issn.1000-3665.202106036
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Figure 1.
Growth direction of the QSGS growth phase
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Figure 2.
QSGS reconstruction of the meso-soil structure (pc=0.01 is taken as an example)
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Figure 3.
The D2Q9 model
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Figure 4.
Comparison of the Poiseuille theoretical value and LBM simulation value
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Figure 5.
Boundary conditions for the calculation model
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Figure 6.
Velocity field images of the models with different sizes after stable seepage flow
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Figure 7.
Influence of the model size on the seepage time and velocity
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Figure 8.
Diagrams showing the asynchronous long seepage field distribution
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Figure 9.
Typical tunnel lateral velocity distribution
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Figure 10.
Vertical distribution of the average discrete velocity
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Figure 11.
Velocity field images of the models with different particle sizes after stable seepage
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Figure 12.
Velocity distribution at different depths after stable seepage