Lattice Boltzmann implementation for Fluids Flow Simulation in Porous Media
Автор: Xinming Zhang
Журнал: International Journal of Image, Graphics and Signal Processing(IJIGSP) @ijigsp
Статья в выпуске: 4 vol.3, 2011 года.
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In this paper, the lattice-Boltzmann method is developed to investigate the behavior of isothermal two-phase fluid flow in porous media. The method is based on the Shan–Chen multiphase model of nonideal fluids that allow coexistence of two phases of a single substance. We reproduce some different idealized situations (phase separation, surface tension, contact angle, pipe flow, and fluid droplet motion, et al) in which the results are already known from theory or laboratory measurements and show the validity of the implementation for the physical two-phase flow in porous media. Application of the method to fluid intrusion in porous media is discussed and shows the effect of wettability on the fluid flow. The capability of reproducing critical flooding phenomena under strong wettability conditions is also proved.
Multiphase Fluids, Porous Media, Simulation, Lattice Boltzmann Method
Короткий адрес: https://sciup.org/15012160
IDR: 15012160
Список литературы Lattice Boltzmann implementation for Fluids Flow Simulation in Porous Media
- Chen, S.; Chen, H.; Martinez, D. and Matthaues, W., 1991, Lattice Boltzmann model for simulation of magnetohydrodynamics, Phys. Rev. Lett., 67(27), 3776.
- Qian, Y. H.; d' Humières, D. and Lallemand, P., 1992, Lattice BGK models for Navier-Stokes equation, Europhys. Letters, 17(6), 479.
- Gunstensen, A. K.; Rothman, D. H.; Zaleski, S. and Zanetti, G., 1991, Lattice Boltzmann model of immiscible fluids, Phys. Rev. A, 43(8), 4320.
- Shan, X. and Chen, H., 1993, Lattice Boltzmann model for simulating flows with multiple phases and components, Phys. Rev. E, 47(3), 1815.
- Swift, M. R.; Osborn, W. R. and Yeomans, J. M., 1995, Lattice Boltzmann simulation of nonideal fluids, Phys. Rev. Lett., 75, 830.
- He, X.; Shan, X. and Doolen, Gary D., 1998, Discrete Boltzmann equation model for nonideal gases, Phys. Rev. E , 57(1), R13
- Qian, Y. H.; d' Humières, D. and Lallemand, P., 1992, Lattice BGK models for Navier-Stokes equation, Europhys. Letters, 17(6), 479.
- Shan X. and Doolen G., 1995, Multicomponent lattice-Boltzmann model with interparticle interaction, J. Stat. Phys, 81, 379.
- Dullien, F.A.L. Porous media: Fluid Transport and Pore Structure. Academic Press, San Diego, 1992, 554pp
- O. Vizika, D. G. Avraam, and A. C. Payatakes. On the role of the viscosity ratio during low-capillary-number forced imbibition in porous media. Journal of Colloid and Interface Science. 1994, Vol.165, pp: 386-401
