Numerical simulation for separation of multi-phase immiscible fluids in porous media
Wu Bai-Zhi (吴柏志)a, Xu You-Sheng (许友生)bc, Liu Yang (刘扬)d, Huang Guo-Xiang (黄国翔)c
a College of Petroleum Engineering, University of Petroleum, Dongying 257061, China; b Department of Physics, East China Normal University, Shanghai 200062, China; c Department of Physics, Zhejiang Normal University, Jinhua 321004, China; d Department of Mechanical Engineering, The Hongkong Polytechnic University, Hong Kong, China
Abstract Based on a lattice Boltzmann method and general principles of porous flow, a numerical technique is presented for analysing the separation of multi-phase immiscible fluids in porous media. The total body force acting on fluid particles is modified by adding relative permeability in Nithiarasu's expression with an additional surface tension term. As a test of this model, we simulate the phase separation for the case of two immiscible fluids. The numerical results show that the two coupling relative permeability coefficients K12 and K21 have the same magnitude, so the linear flux-forcing relationships satisfy Onsager reciprocity. Phase separation phenomenon is shown with the time evolution of density distribution and bears a strong similarity to the results obtained from other numerical models and the flows in sands. At the same time, the dynamical rules in this model are local, therefore it can be run on massively parallel computers with well computational efficiency.
Received: 11 December 2004
Revised: 16 June 2005
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant No 10302018), the Research Grants Council of the Government of the HKSAR, China (Grant No PolyU5172/020), and the Natural Science Foundation of Zhejiang Province, China (Grant No
Cite this article:
Wu Bai-Zhi (吴柏志), Xu You-Sheng (许友生), Liu Yang (刘扬), Huang Guo-Xiang (黄国翔) Numerical simulation for separation of multi-phase immiscible fluids in porous media 2005 Chinese Physics 14 2046
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