CFD modelling and simulation of drill cuttings transport efficiency in annular bends: Effect of particle sphericity

Abstract Accurate prediction of the flow behaviour of drill cuttings carried by a non-Newtonian fluid in an annular geometry is important for the successful and efficient design, operation, and optimisation of drilling operations. Although it is widely recognised that practical drilling operations hardly involve perfectly spherical cuttings, the relative ease in mathematical description coupled with speedy computation are the main reasons for the prevalence of this simplifying assumption. The possibilities offered by the modification of the interphase exchange coefficient of the Syamlal-O’Brien model as well as its scarce implementation in literature have motivated the authors to delve into this area of research as far as the transport phenomena of non-spherical drill cuttings is concerned. Another aspect of this work was influenced by the need to understand the flow dynamics around bends (horizontal to inclined and inclined to vertical sections) during deviated drilling operations using two high viscosity muds (0.5% CMC and 0.5% CMC + 4% Bentonite mud). The Eulerian-Eulerian model was adopted for this study while considering particle sphericities of 0.5, 0.75 and 1 and diameters of 0.002 m, 0.003 m, 0.004 m, 0.005 m and 0.008 m respectively. It was discovered that particle deposition intensifies at the inclined-to-vertical bend compared to other locations in the flow domain. We also observe increased dispersion effects and transport velocities of non-spherical particles compared to particles of a perfectly spherical geometry. Furthermore, an improvement in the rheological properties of the drilling mud shows a remarkable increase in cuttings transport efficiency especially with the smaller particles. However, increased deposition of larger particles still poses a challenge to the wellbore cleaning process despite this rheological enhancement. The proposed CFD modelling methodology is thus capable of providing critical insight into the dynamics of cuttings transport, and the resulting computational observations are consistent with relevant experimental investigations.

[1]  M. Byron The rotation and translation of non-spherical particles in homogeneous isotropic turbulence , 2015, 1506.00478.

[2]  Junwu Wang,et al.  Eulerian–Eulerian simulation of irregular particles in dense gas–solid fluidized beds , 2015 .

[3]  B. Abu-Jdayil,et al.  The Modification of Rheological Properties of Sodium Bentonite-water Dispersions with Low Viscosity CMC Polymer Effect , 2014 .

[4]  M. Fairweather,et al.  Effect of Shape on Inertial Particle Dynamics in a Channel Flow , 2013, Flow, Turbulence and Combustion.

[5]  S. Pannala,et al.  Multifluid Eulerian modeling of dense gas–solids fluidized bed hydrodynamics: Influence of the dissipation parameters , 2008 .

[6]  David G. Schaeffer,et al.  Instability in the evolution equations describing incompressible granular flow , 1987 .

[7]  K. Vollmari,et al.  Experimental and numerical study of fluidization and pressure drop of spherical and non-spherical particles in a model scale fluidized bed , 2016 .

[8]  Mehdi Behzad,et al.  CFD–DEM approach to investigate the effect of drill pipe rotation on cuttings transport behavior , 2015 .

[9]  S. G. Mason,et al.  Axial Migration of Particles in Poiseuille Flow , 1961, Nature.

[10]  Hussain H. Al-Kayiem,et al.  Simulation of the Cuttings Cleaning During the Drilling Operation , 2010 .

[11]  Mehdi Behzad,et al.  CFD-DEM simulation of the hole cleaning process in a deviated well drilling: The effects of particle shape , 2016 .

[12]  S. G. Mason,et al.  The flow of suspensions through tubes: V. Inertial effects , 1966 .

[13]  Ramadan Ahmed,et al.  Transport of Small Cuttings in Extended-Reach Drilling , 2008 .

[14]  Dimitrios I. Gerogiorgis,et al.  First-principles Rheological Modelling and Parameter Estimation for Nanoparticle-based Smart Drilling Fluids , 2016 .

[15]  F. E. Milioli,et al.  Numerical simulation of fluid flow in CFB risers: A turbulence analysis approach , 2005 .

[16]  J. M. Dallavalle Micromeritics : the technology of fine particles , 1948 .

[17]  Ali Moradzadeh,et al.  CFD Simulation of Rheological Model Effect on Cuttings Transport , 2015 .

[18]  C. Yin,et al.  On the modelling of motion of non-spherical particles in two-phase flow , 2007 .

[19]  C. Kleinstreuer,et al.  A numerical investigation of laminar flow past nonspherical solids and droplets , 1995 .

[20]  Liang-Shih Fan,et al.  Principles of gas-solid flows , 1998 .

[21]  W. Sobieski Switch Function and Sphericity Coefficient in the Gidaspow Drag Model for Modeling Solid-Fluid Systems , 2009 .

[22]  D. Gidaspow Multiphase Flow and Fluidization: Continuum and Kinetic Theory Descriptions , 1994 .

[23]  M. Syamlal,et al.  MFIX documentation theory guide , 1993 .

[24]  S. Akbari,et al.  CFD simulation of viscosity modifier effect on cutting transport by oil based drilling fluid in wellbore , 2016 .

[25]  Dimitrios I. Gerogiorgis,et al.  Model-Based Sensitivity Analysis and Experimental Investigation of Perlite Grain Expansion in a Vertical Electrical Furnace , 2013 .

[26]  A. Clemiņš Representation of two-phase flows by volume averaging , 1988 .

[27]  Cyrus K. Aidun,et al.  The dynamics and scaling law for particles suspended in shear flow with inertia , 2000, Journal of Fluid Mechanics.

[28]  Dimitrios I. Gerogiorgis,et al.  Mathematical modeling and process simulation of perlite grain expansion in a vertical electrical furnace , 2014 .

[29]  R. Clift,et al.  Bubbles, Drops, and Particles , 1978 .

[30]  doguhan yilmaz DISCRETE PHASE SIMULATIONS OF DRILLED CUTTINGS TRANSPORT PROCESS IN HIGHLY DEVIATED WELLS , 2013 .

[31]  Dvora Barnea,et al.  A three-layer model for solid-liquid flow in horizontal pipes , 1993 .

[32]  Agba D. Salman,et al.  Drag correlations for particles of regular shape , 2005 .

[33]  Wojciech Sobieski Drag Coefficient in Solid–Fluid System Modeling with the Eulerian Multiphase Model , 2010 .

[34]  Dimitrios I. Gerogiorgis,et al.  A multiparametric CFD analysis of multiphase annular flows for oil and gas drilling applications , 2017, Comput. Chem. Eng..

[35]  N. K. Sinha,et al.  Drag on non-spherical particles: an evaluation of available methods , 1999 .

[36]  D. Jeffrey,et al.  Kinetic theories for granular flow: inelastic particles in Couette flow and slightly inelastic particles in a general flowfield , 1984, Journal of Fluid Mechanics.

[37]  Pål Skalle,et al.  Investigating the impact of drillpipe's rotation and eccentricity on cuttings transport phenomenon in various horizontal annuluses using computational fluid dynamics (CFD) , 2017 .

[38]  William Pao,et al.  CFD Method for Predicting Annular Pressure Losses and Cuttings Concentration in Eccentric Horizontal Wells , 2014 .

[39]  Dimitrios I. Gerogiorgis,et al.  Transient and steady state analysis of drill cuttings transport phenomena under turbulent conditions , 2017 .

[40]  Eugenio Oñate,et al.  A FEM-DEM technique for studying the motion of particles in non-Newtonian fluids. Application to the transport of drill cuttings in wellbores , 2015, Computational Particle Mechanics.

[41]  R. Jackson,et al.  Frictional–collisional constitutive relations for granular materials, with application to plane shearing , 1987, Journal of Fluid Mechanics.

[42]  Dimitrios I. Gerogiorgis,et al.  Resource-Efficient and Economically Viable Pyrometallurgical Processing of Industrial Ferrous By-products , 2014 .

[43]  Li-Shi Luo,et al.  Rotational and orientational behaviour of three-dimensional spheroidal particles in Couette flows , 2003, Journal of Fluid Mechanics.