Pore-scale simulation of effects of coal wettability on bubble-water flow in coal cleats using lattice Boltzmann method

We study the effects of coal wettability on gas bubble/water two-phase flow behaviour in micro-cleats of the coal seam gas reservoir using a free energy based two-phase lattice Boltzmann model. The model is validated by comparison with analytical results and published results, and good agreement is achieved in general. Then we use this model to simulate bubble-water flow in both smooth capillary and a capillary with a narrow throat to systematically study the influences of contact angle, capillary pressure and bubble size on the flow behaviour. The simulation results indicate that both the bubble size and contact angle have significant impacts on the flow capacity of bubble and water, especially in a channel with a narrow throat. A decrease in water flow rate is observed when larger bubbles occur, and the water flow rate increases when the gas wettability becomes stronger. The bubble flow dynamics significantly influence the drainage of water and the further gas production.

[1]  Qinjun Kang,et al.  Displacement of a two-dimensional immiscible droplet in a channel , 2002 .

[2]  Transport in Porous Media Contents of Volume 46 , 2002 .

[3]  Abbas Fakhari,et al.  Phase-field modeling by the method of lattice Boltzmann equations. , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

[4]  Jiyuan Zhang,et al.  Relative Permeability of Coal: A Review , 2015, Transport in Porous Media.

[5]  Junjian Wang,et al.  Pore-scale lattice Boltzmann simulation of micro-gaseous flow considering surface diffusion effect , 2017 .

[6]  Hongwei Zheng,et al.  A lattice Boltzmann model for multiphase flows with large density ratio , 2006, J. Comput. Phys..

[7]  Raoyang Zhang,et al.  A Lattice Boltzmann Scheme for Incompressible Multiphase Flow and Its Application in Simulation of Rayleigh-Taylor Instability , 1998 .

[8]  William D. Gunter,et al.  Alberta Multiwell Micro-Pilot Testing for CBM Properties, Enhanced Methane Recovery and CO2 Storage Potential , 2004 .

[9]  Arup Kumar Das,et al.  Numerical Study of Dynamics of Bubbles Using Lattice Boltzmann Method , 2012 .

[10]  A.J. Briant Lattice Boltzmann simulations of contact line motion in a liquid-gas system , 2002, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[11]  A. Saghafi,et al.  Gas Wettability of Coal and Implications for Gas Desorption and Drainage , 2014 .

[12]  Zhi Dou,et al.  Numerical study of non-uniqueness of the factors influencing relative permeability in heterogeneous porous media by lattice Boltzmann method , 2013 .

[13]  R. Dawe,et al.  Microscale Visual Study of End Effects at Permeability Discontinuities , 2011 .

[14]  C. Shu,et al.  Lattice Boltzmann interface capturing method for incompressible flows. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[15]  Li Chen,et al.  Apparent permeability prediction of organic shale with generalized lattice Boltzmann model considering surface diffusion effect , 2016, 1601.00704.

[16]  X. Su,et al.  The characteristics and origins of cleat in coal from Western North China , 2001 .

[17]  Yuying Yan,et al.  LBM Simulation of Viscous Fingering Phenomenon in Immiscible Displacement of Two Fluids in Porous Media , 2011 .

[18]  Shan,et al.  Lattice Boltzmann model for simulating flows with multiple phases and components. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[19]  Christopher R. Clarkson,et al.  Relative Permeability of CBM Reservoirs: Controls on Curve Shape , 2010 .

[20]  Chang Shu,et al.  Three‐dimensional lattice Boltzmann interface capturing method for incompressible flows , 2008 .

[21]  A. Dalal,et al.  Influence of viscosity ratio and wettability on droplet displacement behavior: A mesoscale analysis , 2014 .

[22]  Xuehai Fu,et al.  Relative permeabilities of gas and water for different rank coals , 2011 .

[23]  Akio Tomiyama,et al.  Simulation of Bubble Motion under Gravity by Lattice Boltzmann Method , 2001 .

[24]  C. Shu,et al.  Lattice Boltzmann study of bubble entrapment during droplet impact , 2011 .

[25]  Albert J. Valocchi,et al.  Pore-Scale Simulations of Gas Displacing Liquid in a Homogeneous Pore Network Using the Lattice Boltzmann Method , 2013, Transport in Porous Media.

[26]  Stig Bakke,et al.  Simulation of Two-Phase Flow in Reservoir Rocks Using a Lattice Boltzmann Method , 2010 .

[27]  Martin E. Weber,et al.  Bubbles in viscous liquids: shapes, wakes and velocities , 1981, Journal of Fluid Mechanics.

[28]  Werner Sachs,et al.  Pressure and temperature dependence of the surface tension in the system natural gas/water. Principles of investigation and the first precise experimental data for pure methane/water at 25°C up to 46.8 MPa , 1995 .

[29]  C. Shu,et al.  Numerical investigation of transporting droplets by spatiotemporally controlling substrate wettability. , 2008, Journal of colloid and interface science.

[30]  S. Zaleski,et al.  Lattice Boltzmann model of immiscible fluids. , 1991, Physical review. A, Atomic, molecular, and optical physics.

[31]  Cyrus K. Aidun,et al.  Lattice-Boltzmann Method for Complex Flows , 2010 .

[32]  Christopher R. Clarkson,et al.  Relative permeability of CBM reservoirs: Controls on curve shape , 2011 .

[33]  Xuehai Fu,et al.  A review on transport of coal seam gas and its impact on coalbed methane recovery , 2011 .

[34]  Tim Reis,et al.  The lattice Boltzmann method for complex flows , 2007 .

[35]  Li Chen,et al.  The lattice Boltzmann method for isothermal micro-gaseous flow and its application in shale gas flow: a review , 2016 .

[36]  C. Shu,et al.  Free-energy-based lattice Boltzmann model for the simulation of multiphase flows with density contrast. , 2014, Physical review. E, Statistical, nonlinear, and soft matter physics.

[37]  Relative permeability assessment in a giant carbonate reservoir using Digital Rock Physics , 2012 .

[38]  Victor Rudolph,et al.  The effect of rank and lithotype on coal wettability and its application to coal relative permeability models , 2015 .

[39]  T. Inamuro,et al.  A lattice Boltzmann method for incompressible two-phase flows with large density differences , 2004 .

[40]  Bruce Firth,et al.  Assessing the Hydrophobicity of Petrographically Heterogeneous Coal Surfaces , 2010 .

[41]  Ching-Long Lin,et al.  A stable discretization of the lattice Boltzmann equation for simulation of incompressible two-phase flows at high density ratio , 2005 .

[42]  A. Busch,et al.  Experimental Study on Fluid Transport Processes in the Cleat and Matrix Systems of Coal , 2010 .

[43]  H. Laborit,et al.  [Experimental study]. , 1958, Bulletin mensuel - Societe de medecine militaire francaise.

[44]  Seyed Nezameddin Ashrafizadeh,et al.  Wettability determination by contact angle measurements: hvbB coal-water system with injection of synthetic flue gas and CO2. , 2011, Journal of colloid and interface science.

[45]  Yeomans,et al.  Lattice Boltzmann simulation of nonideal fluids. , 1995, Physical review letters.

[46]  R. Sakurovs,et al.  Contact angles in CO2-water-coal systems at elevated pressures , 2011 .

[47]  Thomas Young,et al.  An Essay on the Cohesion of Fluids , 1800 .

[48]  A. Ghassemi,et al.  Numerical study of factors influencing relative permeabilities of two immiscible fluids flowing through porous media using lattice Boltzmann method , 2011 .

[49]  D. Jacqmin Regular Article: Calculation of Two-Phase Navier–Stokes Flows Using Phase-Field Modeling , 1999 .

[50]  Harihar Rajaram,et al.  Factors controlling satiated relative permeability in a partially‐saturated horizontal fracture , 2000 .

[51]  Haibo Huang,et al.  Evaluation of three lattice Boltzmann models for multiphase flows in porous media , 2011, Comput. Math. Appl..

[52]  C Özgen Karacan,et al.  Integration of vertical and in-seam horizontal well production analyses with stochastic geostatistical algorithms to estimate pre-mining methane drainage efficiency from coal seams: Blue Creek seam, Alabama. , 2013, International journal of coal geology.