A comprehensive review of solid particle erosion modeling for oil and gas wells and pipelines applications

Sand is commonly produced along with production fluids (oil and gas), and this is a major problem for the oil and gas industry. Sand production is a concern, since it can bring about a variety of problems. Amid them, three problems stand out above all: pressure drop, pipe blockage, and erosion. The latter is a complex mechanical process in which material is removed from the pipeline due to repeated sand particle impacts. As a result, the pipeline can be eroded. Eroded pipelines may cause pipe failures which can result in financial losses and environmental issues. Therefore, it is important to know what parameters govern the erosion phenomenon and how it can be modeled. The present work describes key factors influencing erosion and reviews available erosion equations. Furthermore, empirical and mechanistic models for erosion prediction in pipelines are discussed. These models are used by oil and gas companies to limit the maximum production flow rates and avoid excessive erosion damage. Computational fluid dynamics (CFD) based erosion modeling as a comprehensive method for erosion studying is explained as well. Finally, possible limitations and gaps in knowledge concerning erosion are indicated. The current work can be used by oil and gas companies as a comprehensive review of erosion challenges and remedies. Of course, further studies must be undertaken in order to expand the knowledge of erosion and find applicable models for erosion damage prediction and prevention.

[1]  Uwe Hampel,et al.  Experimental Investigation of Slug Characteristics Through a Standard Pipe Bend , 2013 .

[2]  J. H. Neilson,et al.  Erosion by a stream of solid particles , 1968 .

[3]  Edmund F. Rybicki,et al.  Effect of Particle Size and Liquid Viscosity on Erosion in Annular and Slug Flow , 2014 .

[4]  Ronald O. Scattergood,et al.  Effect of erodent hardness on erosion of brittle materials , 1988 .

[5]  R. Heidersbach Velocity Limits for Erosion-Corrosion , 1985 .

[6]  Ovadia Shoham,et al.  Prediction of slug liquid holdup : horizontal to upward vertical flow , 2000 .

[7]  Vibhor Mehrotra,et al.  Numerical simulation of turbulent particle dispersion using a Monte Carlo approach , 1998 .

[8]  A. Gosman,et al.  Aspects of computer simulation of liquid-fuelled combustors , 1981 .

[9]  Rached Ben-Mansour,et al.  Numerical calculations of erosion in an abrupt pipe contraction of different contraction ratios , 2004 .

[10]  A. Levy,et al.  SURFACE DEGRADATION OF METALS IN SIMULATED SYNTHETIC FUELS PLANT ENVIRONMENTS , 1981 .

[11]  Joon Hong Park,et al.  Performance comparison and erosion prediction of jet pumps by using a numerical method , 2013, Math. Comput. Model..

[12]  J. Bitter A study of erosion phenomena part I , 1963 .

[13]  D. R. Andrews,et al.  An analysis of solid particle erosion mechanisms , 1981 .

[14]  John R. Shadley,et al.  How operating and environmental conditions affect erosion , 1999 .

[15]  V. S. Sooraj,et al.  Elastic Impact of Abrasives for Controlled Erosion in Fine Finishing of Surfaces , 2013 .

[16]  Ian M. Hutchings,et al.  Effect of particle concentration on erosion rate of mild steel bends in a pneumatic conveyor , 2005 .

[17]  N. T. Otroshko,et al.  Main factors affecting gas abrasive wear of elbows in pneumatic conveying pipes , 1973 .

[18]  Ian M. Hutchings Some comments on the theoretical treatment of erosive particle impacts , 1979 .

[19]  Y. Oka,et al.  Practical estimation of erosion damage caused by solid particle impact: Part 1: Effects of impact parameters on a predictive equation , 2005 .

[20]  Michael Fairweather,et al.  Prediction of turbulent gas‐solid flow in a duct with a 90° bend using an Eulerian‐Lagrangian approach , 2012 .

[21]  Ronald E. Vieira,et al.  Experimental Study of Sand Particle Concentration Profiles in Straight and Pipe Elbow for Horizontal Multiphase Flows , 2014 .

[22]  B. K. Gandhi,et al.  Effects of particle size and size distribution on estimating erosion wear of cast iron in sand-water slurries , 2002 .

[23]  K. Vecchio,et al.  Modeling solid-particle erosion of ductile alloys , 1999 .

[24]  Edmund F. Rybicki,et al.  Predicting Sand Erosion In Slug Flows Using A Two-Dimensional Mechanistic Model , 2011 .

[25]  D. R. Andrews,et al.  Particle collisions in the vicinity of an eroding surface , 1983 .

[26]  D. Tabor Hardness of Metals , 1937, Nature.

[27]  A. Ronold,et al.  Sand erosion of wear-resistant materials : erosion in choke valves , 1995 .

[28]  Rong Liu,et al.  Analytical modeling of solid-particle erosion of Stellite alloys in combination with experimental investigation , 2014 .

[29]  J. A. Laitone,et al.  Aerodynamic effects in the erosion process , 1979 .

[30]  Y. M. Ferng,et al.  Predicting local distributions of erosion–corrosion wear sites for the piping in the nuclear power plant using CFD models , 2008 .

[31]  Rached Ben-Mansour,et al.  Erosion rate correlations of a pipe protruded in an abrupt pipe contraction , 2007 .

[32]  Kun Luo,et al.  Large Eddy Simulation of the Anti-Erosion Characteristics of the Ribbed-Bend in Gas-Solid Flows , 2004 .

[33]  Siamack A. Shirazi,et al.  Numerical and experimental investigation of the relative erosion severity between plugged tees and elbows in dilute gas/solid two-phase flow , 2006 .

[34]  Quamrul H. Mazumder,et al.  Effect of Sand Distribution on Erosion in Annular Three-Phase Flow , 2003 .

[35]  J. Hinze,et al.  TURBULENT FLUID AND PARTICLE INTERACTION , 1972 .

[36]  M. E. Gulden,et al.  Impact damage in brittle materials in the elastic-plastic response régime , 1978, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[37]  Edmund F. Rybicki,et al.  Sand Erosion In Multiphase Flow For Slug And Annular Flow Regimes , 2010 .

[38]  Yehuda Taitel,et al.  Two-Phase Slug Flow , 1990 .

[39]  Qian Wang,et al.  Unified Model for Gas-Liquid Pipe Flow via Slug Dynamics—Part 2: Model Validation , 2003 .

[40]  A. Gosman,et al.  Aspects of Computer Simulation of Liquid-Fueled Combustors , 1983 .

[41]  Quamrul H. Mazumder,et al.  Effect of Upstream Pipe Orientation on Erosion/Corrosion in Bends for Annular Flow , 2006 .

[42]  G. Sundararajan A comprehensive model for the solid particle erosion of ductile materials , 1991 .

[43]  W. Tabakoff,et al.  Erosion study of different materials affected by coal ash particles , 1979 .

[44]  G. Klose,et al.  Comparison of state-of-the-art droplet turbulence interaction models for jet engine combustor conditions , 2001 .

[45]  G. R. Johnson,et al.  Fracture characteristics of three metals subjected to various strains, strain rates, temperatures and pressures , 1985 .

[46]  Ian M. Hutchings,et al.  Solid particle erosion of metals: the removal of surface material by spherical projectiles , 1976, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[47]  Sunil Kokal,et al.  An experimental study of two-phase flow in slightly inclined pipes—I. Flow patterns , 1989 .

[48]  K. Ludema,et al.  Wear models and predictive equations: their form and content , 1995 .

[49]  Quamrul H. Mazumder,et al.  Prediction of Erosion Due to Solid Particle Impact in Single-Phase and Multiphase Flows , 2007 .

[50]  Brenton S. McLaury,et al.  Laser Doppler velocimeter measurements to characterize turbulence in a constriction with sharp and rounded inlets , 2002 .

[51]  W. J. Head,et al.  A mechanistic model for the prediction of ductile erosion , 1976 .

[52]  Quamrul Mazumder,et al.  Distribution of Sand Particles in Horizontal and Vertical Annular Multiphase Flow in Pipes and the Effects on Sand Erosion , 2005 .

[53]  Rached Ben-Mansour,et al.  Erosion and penetration rates of a pipe protruded in a sudden contraction , 2008 .

[54]  Quamrul Hassan Mazumder Development and validation of a mechanistic model to predict erosion in single-phase and multiphase flow , 2004 .

[55]  E. Rybicki,et al.  A Two-Dimensional Mechanistic Model For Sand Erosion Prediction Including Particle Impact Characteristics , 2010 .

[56]  S. J. Svedeman,et al.  Criteria for Sizing Multiphase Flowlines for Erosive/Corrosive Service , 1994 .

[57]  Dragoslav Milojevié Lagrangian Stochastic‐Deterministic (LSD) Predictions of Particle Dispersion in Turbulence , 1990 .

[58]  A. Soldati,et al.  Mechanisms for particle transfer and segregation in a turbulent boundary layer , 2002, Journal of Fluid Mechanics.

[59]  Zdzislaw Mazur,et al.  Numerical 3D simulation of the erosion due to solid particle impact in the main stop valve of a steam turbine , 2004 .

[60]  Paul Shewmon,et al.  A new model for the erosion of metals at normal incidence , 1983 .

[61]  M. Atkinson,et al.  High pressure testing sand erosion in 3D flow channels and correlation with CFD , 2007 .

[62]  G. L. Sheldon,et al.  An investigation of impingement erosion using single particles , 1972 .

[63]  G. Sundararajan,et al.  Erosion behaviour of ductile materials with a spherical non-friable erodent , 1986 .

[64]  Mamoru Ishii,et al.  Droplet entrainment correlation in annular two-phase flow , 1989 .

[65]  Ian M. Hutchings,et al.  A method for optimizing the particle flux in erosion testing with a gas-blast apparatus , 1994 .

[66]  A. Bourgoyne Experimental Study of Erosion in Diverter Systems Due to Sand Production , 1989 .

[67]  Alan V. Levy,et al.  The erosion of heat-treated steels , 1983 .

[68]  Raymond M. Brach,et al.  Impact dynamics with applications to solid particle erosion , 1988 .

[69]  I. Hutchings,et al.  The rôle of particle properties in the erosion of brittle materials , 1996 .

[70]  A. Burnett,et al.  Comparisons between sand blast and centripetal effect accelerator type erosion testers , 1995 .

[71]  Bikramjit Basu,et al.  The influence of erodent hardness on the erosion behavior of detonation sprayed WC-12Co coatings , 2011 .

[72]  H. Clark,et al.  On the particle size effect in slurry erosion , 1991 .

[73]  Kenneth D. Jordan Erosion in Multiphase Production of Oil & Gas , 1998 .

[74]  J. Humphrey,et al.  Fundamentals of fluid motion in erosion by solid particle impact , 1990 .

[75]  Uwe Hampel,et al.  Experimental Study of Vertical Gas-Liquid Pipe Flow for Annular and Liquid Loading Conditions Using Dual Wire-Mesh Sensors , 2014 .

[76]  M. Salama,et al.  Evaluation of API RP 14E erosional velocity limitations for offshore gas wells , 1983 .

[77]  G. L. Sheldon,et al.  Similarities and Differences in the Erosion Behavior of Materials , 1970 .

[78]  A. Levy,et al.  The effects of erodent composition and shape on the erosion of steel , 1983 .

[79]  A. Levy,et al.  EROSION MECHANISM IN DUCTILE METALS , 1981 .

[80]  C. E. Smeltzer,et al.  Mechanisms of Metal Removal by Impacting Dust Particles , 1970 .

[81]  Jun Yao,et al.  Experimental and numerical investigation of a new method for protecting bends from erosion in gas-particle flows , 2001 .

[82]  R. Brown,et al.  Erosion of α-Fe by spherical glass particles , 1981 .

[83]  Francisco José de Souza,et al.  Numerical prediction of the erosion due to particles in elbows , 2014 .

[84]  Jianming Wang,et al.  The effects of rheological characteristics of lubricant and surface roughness on the load capacity of a hydrodynamic slider bearing , 1991 .

[85]  G. P. Tilly,et al.  A two stage mechanism of ductile erosion , 1973 .

[86]  Stefan Johansson,et al.  Solid particle erosion — a statistical method for evaluation of strength properties of semiconducting materials☆ , 1987 .

[87]  Donald H. Buckley,et al.  The effect of mechanical surface and heat treatments on the erosion resistance of 6061 aluminum alloy , 1981 .

[88]  Mamdouh M. Salama,et al.  An Alternative to API 14E Erosional Velocity Limits for Sand-Laden Fluids , 2000 .

[89]  Edmund F. Rybicki,et al.  Solid-Particle Erosion in Slug Flow , 2010 .

[90]  R. J. Paz Film Thickness Distribution for Annular Flow in Directional Wells: Horizontal to Vertical , 1994 .

[91]  J. P. Brill,et al.  Unified model for gas-liquid pipe flow via slug dynamics: Part 1: Model development , 2003 .

[92]  Hari B. Vuthaluru,et al.  CFD based prediction of erosion rate in large scale wall-fired boiler , 2012 .

[93]  L. C. Burmeister,et al.  The influence of the squeeze film on particle impact velocities in erosion , 1992 .

[94]  S. Shirazi,et al.  A Comprehensive Procedure to Estimate Erosion in Elbows for Gas/Liquid/Sand Multiphase Flow , 2006 .

[95]  Quamrul H. Mazumder,et al.  Development and validation of a mechanistic model to predict solid particle erosion in multiphase flow , 2005 .

[96]  S. Manson Behavior of materials under conditions of thermal stress , 1953 .

[97]  J. A. Laitone EROSION PREDICTION NEAR A STAGNATION POINT RESULTING FROM AERODYNAMICALLY ENTRAINED SOLID PARTICLES , 1979 .

[98]  A. Forder,et al.  A numerical investigation of solid particle erosion experienced within oilfield control valves , 1998 .

[99]  Uwe Hampel,et al.  Experimental Investigation of Horizontal Gas-Liquid Stratified and Annular Flow Using Wire Mesh Sensor , 2013 .

[100]  Krishnaswamy Nandakumar,et al.  A comprehensive phenomenological model for erosion of materials in jet flow , 2008 .

[101]  S. Jain,et al.  Particle size effects on the slurry erosion of aluminium alloy (AA 6063) , 2009 .

[102]  Danian Chen,et al.  A model for erosion at normal impact , 1997 .

[103]  W. Tabakoff,et al.  Erosion Prediction in Turbomachinery Resulting from Environmental Solid Particles , 1975 .

[104]  Q. Q. Lu,et al.  Particle Motion in Two-Dimensional Confined Turbulent Flows , 1992 .

[105]  Uwe Hampel,et al.  Characterizing Slug/Churn Flow Using Wire Mesh Sensor , 2014 .

[106]  Uwe Hampel,et al.  Experimental Study of Slug Characteristics: Implications to Sand Erosion , 2013 .

[107]  Jun Yao,et al.  Antierosion in a 90° bend by particle impaction , 2002 .

[108]  A. E. Dukler,et al.  The distribution of drop size and velocity in gas-liquid annular flow , 1995 .

[109]  I. Finnie Erosion of surfaces by solid particles , 1960 .

[110]  John R. Shadley,et al.  A Model for the Effect of Velocity on Erosion of N80 Steel Tubing due to the Normal Impingement of Solid Particles , 1992 .

[111]  Fardis Najafifard Predicting near wall particle behavior with application to erosion simulation , 2014 .

[112]  Goodarz Ahmadi,et al.  Particle Deposition in a Turbulent Channel Flow , 2013 .

[113]  Siamack A. Shirazi,et al.  Application and experimental validation of a computational fluid dynamics (CFD)-based erosion prediction model in elbows and plugged tees , 2004 .

[114]  John R. Shadley,et al.  A Procedure to Predict Solid Particle Erosion in Elbows and Tees , 1995 .

[115]  Renyang He,et al.  Numerical simulation of predicting and reducing solid particle erosion of solid-liquid two-phase flow in a choke , 2009 .

[116]  Michael Fairweather,et al.  Modelling of pipe bend erosion by dilute particle suspensions , 2012, Comput. Chem. Eng..

[117]  A. K. Coker Understand two-phase flow in process piping , 1990 .

[118]  Alan V. Levy,et al.  The effect of erodent particle characteristics on the erosion of metals , 1991 .

[119]  Ian M. Hutchings,et al.  A MODEL FOR THE EROSION OF METALS BY SPHERICAL PARTICLES AT NORMAL INCIDENCE - eScholarship , 1981 .

[120]  M Phillips,et al.  A force balance model for particle entrainment into a fluid stream , 1980 .

[121]  Cem Sarica,et al.  A Comprehensive Mechanistic Model for Upward Two-Phase Flow in Wellbores , 1994 .

[122]  Siamack A. Shirazi,et al.  A CFD Based Correlation for Erosion Factor for Long-Radius Elbows and Bends , 2001 .

[123]  Jiyuan Tu,et al.  On numerical modeling of particle–wall impaction in relation to erosion prediction: Eulerian versus Lagrangian method , 2002 .

[124]  L. Coffin,et al.  A Study of the Effects of Cyclic Thermal Stresses on a Ductile Metal , 1954, Journal of Fluids Engineering.

[125]  Danian Chen,et al.  Computational mean particle erosion model , 1998 .

[126]  H. Clark,et al.  On the impact rate and impact energy of particles in a slurry pot erosion tester , 1991 .

[127]  Ovadia Shoham,et al.  Film-Thickness Distribution for Annular Flow in Directional Wells: Horizontal to Vertical , 1999 .

[128]  Edmund F. Rybicki,et al.  Comparison of computed and measured particle velocities and erosion in water and air flows , 2007 .

[129]  Yaojun Lu,et al.  A Computational-Fluid-Dynamics-Based Eulerian-Granular Approach for Characterization of Sand Erosion in Multiphase-Flow Systems , 2014 .

[130]  J. Bitter,et al.  A study of erosion phenomena , 1963 .

[131]  I. Finnie Some observations on the erosion of ductile metals , 1972 .

[132]  Siamack A. Shirazi,et al.  Modeling Solid Particle Erosion in Elbows and Plugged Tees , 2001 .

[133]  Siamack A. Shirazi,et al.  Ultrasonic Measurement of Multiphase Flow Erosion Patterns in a Standard Elbow , 2013 .

[134]  Y. Oka,et al.  Practical estimation of erosion damage caused by solid particle impact: Part 2: Mechanical properties of materials directly associated with erosion damage , 2005 .

[135]  Said Jahanmir,et al.  The mechanics of subsurface damage in solid particle erosion , 1980 .

[136]  Siamack A. Shirazi,et al.  An Alternate Method to API RP 14E for Predicting Solids Erosion in Multiphase Flow , 2000 .

[137]  A. Elkholy Prediction of abrasion wear for slurry pump materials , 1983 .