Numerical simulation of wellbore gas-liquid phase transition based on Lattice Boltzmann method


  • Northeast Petroleum University, College of Petroleum Engineering, Daqing, China
  • Daqing Oil Filed Co., Ltd. of Petro China, Daqing, China


Whenever gas kick occurs, gas flows in mixture with the flowing drilling fluid or migrate upwardly when drilling fluid is suspended. When wellbore temperature and pressure are higher than the critical temperature and pressure of natural gas, natural gas is in a supercritical state. In the process of gas migration along the wellbore, gas volume will gradually increase due to the decrease of wellbore temperature and pressure. At the critical point, phase behavior changes and gas volume increases very rapidly, which can bring great harm to well control; what is worse, it may lead to well blow out. Therefore, it is of great significance to analyse the effects of phase change characteristics of the supercritical fluid on well control safety. Due to the huge advantages and strong adaptability of Lattice Boltzmann method (LBM) to solve gas-liquid two-phase flow problem with complicated and changeable phase interface, wellbore gas-liquid phase transition based on inter-particle interaction of LBM method is researched in this paper. Simulation results show that different initial densities of mixed fluid have significant influence on gas and liquid phase distribution after phase transition. Continuous gas is formed in phase change position of a wellbore when initial density of mixed fluid is less than the critical density. And gas change in phase behaviour migrates along the wellbore as bubbles when initial density of mixed fluid is greater. Research results not only improve the understanding of gas-liquid phase transition mechanism, but also can provide some valuable attempts to promote the application of LBM method in wellbore gasliquid two-phase flow.


Gas kick, gas-liquid two-phase flow, phase transition, LBM

Full Text:


Assael M. J.,TruslerJ. P. M.,Tsolakis T. F. (196): An introduction to their prediction thermophysical properties of fluids [M]. U. K. Imperial College Press.

Prausnitz J.M., Lichtenthaler R. N., Azevedo E.G. (1999): Molecular thermodynamics of fluid-phase equilibria 3rd [M]. Nopardazan.

Tilman Knorr, Eberhard Aust, Karl-Heinz Jacob (2004): Calculation of vapor-liquid equilibrium data of binary mixtures using vapor pressure data [J]. Chemical Engineering & Technology, 2010, 33(12): 2089-2094.

Gossett J. M. (198): Measurement of Henry’s law constants for C1 and C2 chlorinated hydrocarbons [J]. Environmental Science & Technology, 21(2): 202-208.

Meylan W. M, Howard P. H. (1991): Bond contribution method for estimating Henry’s law constants [J]. Environmental toxicology and chemistry, 10(10): 1283- 1293.

Duan Z, Mao S. (2006): A thermodynamic model for calculating methane solubility, density and gas phase composition of methane-bearing aqueous fluids from 273 to 523 K and from 1 to 2000 bar[C]. Geochimica Et Cosmochimica Acta, 70(13): 3369-3386.

O’Brien, T. B. (‘1981): Handling gas in an oil mud takes special precautions [J]. World Oil. 192(1): 83-86.

Silva C T, Mariolani J R L, Bonet E J, et al. (2004): Gas solubility in synthetic fluids: A well control issue[C]. Society of Petroleum Engineers.

Berthezene N, Hemptinne J C D, Audibert A, et al. (1999): Methane solubility in synthetic oil-based drilling muds[J]. Journal of Petroleum Science & Engineering, 23(2):71-81.

FU Jianhong, XU Chao, ZHANG Zhi.(2012): Gas solubility calculation in oil-based drilling fluid during deepwater drilling[J]. Drilling & Production Technology, 35(4):85-87.

Monteiro E N, Ribeiro P R, Lomba R F T. (2010): Study of the PVT properties of gas-synthetic-drilling-fluid mixtures applied to well control [J]. SPE Drilling & Completion, 25(1): 45-52.

Flatabø G Ø, Torsvik A, Oltedal V M, et al. (2015): Experimental gas absorption in petroleum fluids at HPHT conditions[C]. SPE 173865.

Hirt C. W, Nichols B. D. (1981): Volume of Fluid (VOF) method for the dynamics of free boundaries[J]. J Comput Phys, 39 (1): 201-225.

Gueyffier D., Li J., Nadim A.,Scardovelli R., Zaleski S. (1999): Volume-of-Fluid interface tracking with smoothed surface stress methods for threedimensional flows [J]. J Comput Phys, 152 (2): 423-456.

Sussman M., Smereka P., Osher S. (1994): A Level Set Approach for computing solutions to incompressible two-phase flow [J]. J Comput Phys, 114(1):146-159.

Sussman M.ÿAlmgren A. S., Bell J. B., et al. (1999): An adaptive level set approach for incompressible twophase flows [J]. Journal of Computational Physics, 148(1):81-124.

Sussman M., Puckett E. G. (2000): A Coupled Level Set and Volume-of-Fluid method for computing 3D and axisymmetric incompressible two-phase flows[J]. J Comput Phys, 162 (2): 301-337.

Sussman M. (2003): A second order coupled level set and Volume-of-Fluid Method for computing growth and collapse of vapor bubbles[J]. J Comput Phys, 187(1): 110-136.

Unverdi S. O., Tryggvason G. (1992): A Front-Tracking method for viscous incompressible multi-fluid flows[J]. J Comput Phys, 100(1):25-37.

Van Sint Annaland M., Dijkhuizen W., Deen N. G., Kuipers J. A. M.(2006): Numerical Simulation of Behavior of Gas Bubbles Using a 3D Front-Tracking Method[J]. AIChE J., 52 (1): 99-110.

Y.H.Qian, S.Succi, S.A. Orszag.(1995): Recent advances in lattice Boltzmann computing[J]. Annual Review of Computational Physics, 2:197-249.

A.K. Gunstensen, D.H. Rothman, S. Zaleski, G Zanetti. (1991): Lattice Boltzmann model of Immiscible fluids [J]. Physical Review A. 43(8): 4320-4327.

X.W.Shan, H.D.Chen.(1993): Lattice Boltzmann model for simulating flows with multiple phases and components[J]. Physical Review E, 47(3):1815-1820.

X.W.Shan, G.D. Doolen (1995):. Multicomponent Lattice Boltzmann model with Interparticle interaction[J], Journal of Statistical Physics, 81:379- 393.

R.S.Qin. (2006): Mesoscopic inter-particle potentials in the lattice Boltzmann equation for multiphase fluids[J]. Physical Review E, 2006, 73: 066703-066711.

Cyrus K. Aidun and Jonathan R. Clausen. (2010): Lattice-Boltzmann Method for Complex Flows[J]. Annu. Rev. Fluid Mech. 42:439-472.

S. Succi. (2001): Lattice Boltzmann Equation for Fluid Dynamics and beyond[M]. Oxford: Clarendon Press, New York.

Michael C. Sukop (2006): Lattice Boltzmann Modeling [M]. Springer.


  • There are currently no refbacks.