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Advances in Geo-Energy Research 2023, 9(2): 106-116 https://doi.org/10.46690/ager.2023.08.04
Original Article | Open Access | Issue | Published: 03 August 2023

Pseudopotential-based multiple-relaxation-time lattice Boltzmann model for multicomponent and multiphase slip flow

Show Author's Information Wendong Wang1,2,  Qiuheng Xie1,2,  Han Wang3( ),  Yuliang Su1,2,  Sina Rezaei-Gomari4
Key Laboratory of Unconventional Oil & Gas Development, China University of Petroleum (East China), Ministry of Education, Qingdao 266580, P. R. China
School of Petroleum Engineering, China University of Petroleum (East China), Qingdao 266580, P. R. China
State Key Laboratory of Petroleum Resources and Prospecting, China University of Petroleum, Beijing 102249, P. R. China
School of Computing, Engineering and Digital Technologies, Teesside University, Middlesbrough, TS1-3BX, UK
Keywords:
multiphase flow, lattice Boltzmann method, Slip boundary, combination parameter, diffusive Maxwell's reflection
Cite this article:
Wang W, Xie Q, Wang H, et al. Pseudopotential-based multiple-relaxation-time lattice Boltzmann model for multicomponent and multiphase slip flow. Advances in Geo-Energy Research, 2023, 9(2): 106-116. https://doi.org/10.46690/ager.2023.08.04
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Abstract Full text About this article

The microscale liquid flow in nanoscale systems considering slip boundary has been widely studied in recent years, however, they are limited to single-phase flow. As in nature, multicomponent and multiphase flows can also exist with non-zero slip velocities, such as oil/water slip flow in nanoporous shale. In this paper, a novel multicomponent-multiphase multiple-relaxation-time lattice Boltzmann method with a combinational slip boundary condition is developed to study the two-phase slip flow behaviors. The proposed combined slip boundary condition is derived from adjustments to the conventional diffusive Maxwell’s reflection and half-way bounce-back scheme boundary parameters, incorporating a compelled conservation requirement. With the analysis of simulations for the layer, slug, and droplet types of two-phase flow in single pores, and two-phase flow in porous media with complex wall geometry, it can be concluded that the proposed schemes of two-phase slip boundary conditions are particularly suitable for multicomponent and multiphase flow with a non-zero slip velocity. The proposed model can be used to determine relative permeability and simulate spontaneous imbibition in particular in shale reservoirs where those flow properties are hard-to-determine.


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About this article

Pseudopotential-based multiple-relaxation-time lattice Boltzmann model for multicomponent and multiphase slip flow

Show Author's information Wendong Wang1,2, Qiuheng Xie1,2, Han Wang3( ), Yuliang Su1,2, Sina Rezaei-Gomari4
Key Laboratory of Unconventional Oil & Gas Development, China University of Petroleum (East China), Ministry of Education, Qingdao 266580, P. R. China
School of Petroleum Engineering, China University of Petroleum (East China), Qingdao 266580, P. R. China
State Key Laboratory of Petroleum Resources and Prospecting, China University of Petroleum, Beijing 102249, P. R. China
School of Computing, Engineering and Digital Technologies, Teesside University, Middlesbrough, TS1-3BX, UK

Abstract

The microscale liquid flow in nanoscale systems considering slip boundary has been widely studied in recent years, however, they are limited to single-phase flow. As in nature, multicomponent and multiphase flows can also exist with non-zero slip velocities, such as oil/water slip flow in nanoporous shale. In this paper, a novel multicomponent-multiphase multiple-relaxation-time lattice Boltzmann method with a combinational slip boundary condition is developed to study the two-phase slip flow behaviors. The proposed combined slip boundary condition is derived from adjustments to the conventional diffusive Maxwell’s reflection and half-way bounce-back scheme boundary parameters, incorporating a compelled conservation requirement. With the analysis of simulations for the layer, slug, and droplet types of two-phase flow in single pores, and two-phase flow in porous media with complex wall geometry, it can be concluded that the proposed schemes of two-phase slip boundary conditions are particularly suitable for multicomponent and multiphase flow with a non-zero slip velocity. The proposed model can be used to determine relative permeability and simulate spontaneous imbibition in particular in shale reservoirs where those flow properties are hard-to-determine.

Keywords: multiphase flow, lattice Boltzmann method, Slip boundary, combination parameter, diffusive Maxwell's reflection

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Publication history
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Publication history

Received: 28 June 2023
Revised: 16 July 2023
Accepted: 29 July 2023
Published: 03 August 2023
Issue date: August 2023

Copyright

© The Author(s) 2023.

Acknowledgements

Acknowledgements

This study was supported by the National Natural Science Foundation of China (Nos. 52274056, U22B2075 and 51974348).

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This article is distributed under the terms and conditions of the Creative Commons Attribution (CC BY-NC-ND) license, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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