A NEW FRACTAL APPARENT PERMEABILITY MODEL FOR LIQUID FLOW IN TORTUOUS NANOPORES FROM LATTICE BOLTZMANN SIMULATIONS TO THE THEORETICAL MODEL

Han Wang, Yuliang Su, Wendong Wang, Yang Meng, Xiuheng Xie, Jilong Xu and Qi Zhang
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Han Wang: 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
Yuliang Su: 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
Wendong Wang: 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
Yang Meng: ��Oil and Gas Development Management Center, Shengli Oilfield Company, SINOPEC, Dongying, Shandong 257001, P. R. China
Xiuheng Xie: 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
Jilong Xu: 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
Qi Zhang: �School of Earth Resources, China University of Geosciences, Wuhan 430074, P. R. China

FRACTALS (fractals), 2021, vol. 29, issue 07, 1-13

Abstract: Tortuous pores are ubiquitous in natural porous media; however, the linear effects of tortuosity on the liquid flow behaviors are usually considered through capillary bundle models, which lead to inaccurate permeability prediction. Additionally, in the nanopores, due to the existence of heterogeneous viscosity and boundary slip, the effects of tortuosity on nanoconfined liquid flow behaviors are more complicated. In this paper, we comprehensively use the theoretical models and a nanoscale multi-relaxation-time lattice Boltzmann method (MRT-LBM) to characterize water flow behaviors in the tortuous nanopores, where heterogeneous viscosity and boundary slip are considered. The results show that the increase of tortuosity causes more negative effects, which results in a decreasing apparent permeability. The conventional model of the influence of tortuosity on the apparent permeability is linearkapp = kini τ, which greatly underestimates the effect of tortuosity on apparent permeability. Then, a new fractal apparent permeability model kapp = kini A+Bln(τ−C) based on modified tortuous effects is obtained by fitting the results from the MRT-LBM simulations. Based on the new fractal apparent permeability models, the results show that with an increasing fractal tortuosity dimension, the apparent permeability decreases rapidly first and then this trend becomes moderate. Our works can provide a more accurate basic model for studying liquid flow in porous media based on the capillary bundle model or pore network model.

Keywords: Heterogeneous Viscosity; Boundary Slip; Nanoconfined Flow; Multi-Relaxation-Time Lattice Boltzmann Method; Fractal Tortuosity Dimension (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S0218348X21502339

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