Numerical modeling of micro-particle migration in channels

Dongying Wang, Qin Qian, Anhai Zhong, Mingjing Lu, Zilin Zhang

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Abstract


Physicochemical forces exert non-neligible effects on the migration of micro-particles in channels. Experiments, analytical and non-resolved computational fluid dynamics models have failed to decipher the dynamic behaviors of these particles when carried by fluid flow. In this paper, particle-scale numerical simulation is conducted to study the adhesive micro-particle migration process during duct flow in channels with a large characteristic dimension ratio and those with relatively small such ratio based on the coupled lattice Boltzmann method-discrete element method. The interaction between particle and fluid flow is dealt with by the immersed moving boundary condition. For micro-particle migration in duct flow, the effects of hydrodynamic force, adhesive force and particle concentration on the aggregation of particles are investigated. Based on the concept of hydrodynamic and adhesive force ratio, a stable aggregation distribution map is proposed to help analyze the distribution and size of the formed agglomerates. For micro-particle migration in channels with small characteristic dimension ratio, the general particle migration process is analyzed, which includes single particle retention, followed by particle capture, and the migration of large agglomerates. It is concluded that two factors accelerate single particle retention in a curved channel. Moreover, it is established that higher fluid flow rate facilitates the formation of large and compact agglomerate, and blockage by this can cause severe damage to the conductivity of the channel.

Document Type: Original article

Cited as: Wang, D., Qian, Q., Zhong, A., Lu, M., Zhang, Z. Numerical modeling of micro-particle migration in channels. Advances in Geo-Energy Research, 2023, 10(2): 117-132. https://doi.org/10.46690/ager.2023.11.06


Keywords


Micro-particle migration, channel, particle agglomerate, lattice Boltzmann method, discrete element method, immersed moving boundary scheme

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Abraham, F. F. Functional dependence of drag coefficient of a sphere on Reynolds number. The Physics of Fluids, 1970, 13(8): 2194-2195.

Bedrikovetsky, P., Siqueira, F. D., Furtado, C. A., et al. Modified particle detachment model for colloidal transport in porous media. Transport in Porous Media, 2011, 86(2): 353-383.

Berkowitz, N. An Introduction to Coal Technology. Amsterdam, Netherlands, Elsevier, 2012.

Bradford, S. A., Simunek, J., Bettahar, M., et al. Modeling colloid attachment, straining, and exclusion in saturated porous media. Environmental Science & Technology, 2003, 37: 2242-2250.

Chen, S., Li, S. Collision-induced breakage of agglomerates in homogenous isotropic turbulence laden with adhesive particles. Journal of Fluid Mechanics, 2020, 902: A28.

Chen, S., Li, S., Marshall, J. S. Exponential scaling in early-stage agglomeration of adhesive particles in turbulence. Physical Review Fluids, 2019, 4(2): 024304.

Chen, H., Liu, W., Chen, Z., et al. A numerical study on the sedimentation of adhesive particles in viscous fluids using LBM-LES-DEM. Powder Technology, 2021, 391: 467-478.

Choi, Y. S., Seo, K. W., Lee, S. J. Lateral and cross-lateral focusing of spherical particles in a square microchannel. Lab on a Chip, 2010, 11(3): 460-465.

Chun, B., Ladd, A. Inertial migration of neutrally buoyant particles in a square duct: An investigation of multiple equilibrium positions. Physics of Fluids, 2006, 18(3): 031704.

Close, J. C. Natural fractures in coal, in Hydrocarbons from Coal, edited by Law, B. E., and Rice, D. D., American Association of Petroleum Geologists, Tulsa, Oklahoma, pp. 119-132, 1993.

Cook, B. K. A numerical framework for the direct simulation of solid-fluid systems. Massachusetts Institute of Technology, 2001: 129-136.

Cook, B. K., Noble, D. R., Williams, J. R. A direct simulation method for particle-fluid systems. Engineering Computations, 2004, 21(2/3/4): 151-168.

Feng, J., Hu, H., Joseph, D. D. Direct simulation of initial value problems for the motion of solid bodies in a Newtonian fluid. Part 2. Couette and Poiseuille flows. Journal of fluid Mechanics, 1994, 277: 271-301.

Feng, Z., Michaelides, E. E. The immersed boundary-lattice boltzmann method for solving fluid-particles interaction problem. Journal of Computational Physics, 2004, 195(2): 602-628.

Guo, Z., Zheng, C., Shi, B. Discrete lattice effects on the forcing term in the lattice Boltzmann method. Physical Review E, 2002, 65(4): 046308.

Hamaker, H. C. The London-van der Waals attraction between spherical particles. Physica, 1937, 4(10): 1058-1072.

Hertz, H. Über die Berührung fester elastische Körper. Journal Fur Die Reine Und Angewandte Mathematik, 1882, 92: 156-71. (in German)

Hu, S., Hao, Y., Chen, Y., et al. Dynamic influence law of coal powder migration and deposition on propped fracture permeability. Journal of China Coal Society, 2021, 46(4): 1288-1296. (in Chinese)

Johnson, K. L., Kendall, K., Roberts, A. Surface energy and the contact of elastic solids. Mathematical and Physical Sciences, 1971, 324(1558): 301-313.

Jones, B. D., Williams, J. R. Fast computation of accurate sphere-cube intersection volume. Engineering Computations, 2017, 34(4): 1204-1216.

Kr¨uger, T. The Lattice Boltzmann Method: Principles and Practice. Berlin, Germany, Springer International Publishing, 2007.

Ladd, A. J. Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 1. Theoretical foundation. Journal of Fluid Mechanics, 1994a, 271: 285-309.

Ladd, A. J. Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 2. Numerical results. Journal of Fluid Mechanics, 1994b, 271: 311-339.

Liu, W., Wu, C. A hybrid LBM-DEM numerical approach with an improved immersed moving boundary method for complex particle-liquid flows involving adhesive particles. arXiv, 2019, 1901.09745.

Liu, W., Wu, C. Migration and agglomeration of adhesive microparticle suspensions in a pressure-driven duct flow. AIChE Journal, 2020, 66(6): e16974.

Marshall, J. S. Discrete-element modeling of particulate aerosol flows. Journal of Computational Physics, 2009, 228(5): 1541-1561.

McCullough, J. W. S., Aminossadati, S. M., Leonardi, C. R. Transport of particles suspended within a temperature-dependent viscosity fluid using coupled LBM-DEM. International Journal of Heat and Mass Transfer, 2020, 149: 119159.

McNamara, G. R., Zanetti, G. Use of the Boltzmann equation to simulate lattice-gas automata. Physical Review Letters, 1988, 61(20): 2332-2335.

Noble, D. R., Torczynski, J. R. A lattice-Boltzmann method for partially saturated computational cells. International Journal of Modern Physics C, 1998, 9(8): 1189-1201.

Norouzi, H. R., Zarghami, R., Sotudeh-Gharebagh, R., et al. Coupled CFD-DEM Modeling: Formulation, Implementation and Application to Multiphase Flows. Tehran, Iran, John Wiley & Sons, 2016.

Peskin, C. S. Flow patterns around heart valves: A digital computer method for solving the equations of motion. New York, Albert Einstein College of Medicine, Yeshiva University, 1972.

Qi, M., Li, Y., Moghanloo, R. G., et al. Applying deep bed filtration theory to study long-term impairment of fracture conductivity caused by reservoir fines. Geo-energy Science and Engineering, 2023, 231: 212253.

Qian, Y., d’Humières, D., Lallemand, P. Lattice BGK models for Navier-Stokes equation. EPL (Europhysics Letters), 1992, 17(6): 479-484.

Rousseau, D., Hadi, L., Nabzar, L. Injectivity decline from produced-water reinjection: New insights on in-depth particle-deposition mechanisms. SPE Production & Operations, 2008, 23: 525-531.

Shan, X., Chen, H. Lattice Boltzmann model for simulating flows with multiple phases and components. Physical Review E, 1993, 47(3): 1815-1819.

Shao, Y., Ruan, X., Li, S. Mechanism for clogging of microchannels by small particles with liquid cohesion. AIChE Journal, 2021, 67(7): e17288.

Strack, O. E., Cook, B. K. Three-dimensional immersed boundary conditions for moving solids in the lattice Boltzmann method. International Journal for Numerical Methods in Fluids, 2007, 55(2): 103-125.

Tao, S., Tang, D., Xu, H., et al. Fluid velocity sensitivity of coal reservoir and its effect on coalbed methane well productivity: A case of Baode Block, northeastern Ordos Basin, China. Journal of Petroleum Science and Engineering, 2017, 152: 229-237.

Tao, S., Zhang, H., Guo, Z., et al. A combined immersed boundary and discrete unified gas kinetic scheme for particle-fluid flows. Journal of Computational Physics, 2018, 375: 498-518.

Tsuji, Y., Kawaguchi, T., Tanaka, T. Discrete particle simulation of two-dimensional fluidized bed. Powder Technology, 1993, 77(1): 79-87.

Wang, M., Feng, Y., Owen, D. R. J., et al. A novel algorithm of immersed moving boundary scheme for fluid-particle interactions in DEM-LBM. Computer Methods in Applied Mechanics and Engineering, 2019, 346: 109-125.

Wang, M., Feng, Y., Pande, G. N., et al. A coupled 3-dimensional bonded discrete element and Lattice Boltzmann method for fluid-solid coupling in cohesive geomaterials. International Journal for Numerical and Analytical Methods in Geomechanics, 2018, 42(12): 1405-1424.

Wang, M., Feng, Y., Qu, T., et al. Instability and treatments of the coupled discrete element and lattice Boltzmann method by the immersed moving boundary scheme. International Journal for Numerical Methods in Engineering, 2020, 121(21): 4901-4919.

Wang, M., Feng, Y., Wang, C. Numerical investigation of initiation and propagation of hydraulic fracture using the coupled bonded particle-lattice Boltzmann method. Computers & Structures, 2017, 181: 32-40.

Wang, D., Wang, Z. 3D lattice Boltzmann method-discreteelement method with immersed moving boundary scheme numerical modeling of microparticles migration carried by a fluid in fracture. SPE Journal, 2022, 27(5): 2841-2862.

Wang, D., Wang, Z., Cai, X. Experimental study on coal fines migration and effects on conductivity of hydraulic fracture during entire coalbed methane production period. Geoenergy Science and Engineering, 2023, 223: 211555.

Wei, Y., Li, C., Cao, D., et al. The effects of particle size and inorganic mineral content on fines migration in fracturing proppant during coalbed methane production. Journal of Petroleum Science and Engineering, 2019, 182: 106355.

Wolf-Gladrow, D. A. Lattice-gas Cellular Automata and Lattice Boltzmann Models: An Introduction. Berlin, Germany, Springer, 2004.

Wu, J. The coal surface energy calculation based on the adsorption method and its research significance. Coal Geology & Exploration, 1994, 22(2): 6. (in Chinese)

Wu, C., Guo, Y. Numerical modelling of suction filling using DEM/CFD. Chemical Engineering Science, 2012, 73: 231-238.

Yang, G., Jing, L., Kwok, C. Y., et al. A comprehensive parametric study of LBM-DEM for immersed granular flows. Computers and Geotechnics, 2019, 114: 103100.

Yang, G., Jing, L., Kwok, C. Y., et al. Pore-scale simulation of immersed granular collapse: Implications to submarine landslides. Journal of Geophysical Research: Earth Surface, 2020, 125(1): e2019JF005044.

Zamani, A., Maini, B. Flow of dispersed particles through porous media-deep bed filtration. Journal of Petroleum Science and Engineering, 2009, 69(1/2): 71-88.

Zhao, X., Liu, S., Sang, S., et al. Characteristics and generation mechanisms of coal fines in coalbed methane wells in the southern Qinshui Basin, China. Journal of Natural Gas Science & Engineering, 2016, 34: 849-863.

Zou, Y., Zhang, S., Zhang, J. Experimental method to simulate coal fines migration and coal fines aggregation prevention in the hydraulic fracture. Transport in Porous Media, 2014, 101: 17-34.




DOI: https://doi.org/10.46690/ager.2023.11.06

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