Application of general regression neural network (GRNN) for indirect measuring pressure loss of Herschel–Bulkley drilling fluids in oil drilling

Abstract Experimental measurements of the pressure losses in a well annulus are costly and time consuming. Pressure loss calculations in annulus is generally conducted based on an extension of empirical correlations developed for Newtonian fluids and extending pipe flow correlations. However, correct estimation of pressure loss of non-Newtonian fluids in oil well drilling operations is very important for optimum design of piping system and minimizing the power consumption. In this paper, a general regression neural network (GRNN) was applied to predict the pressure loss of Herschel–Bulkley drilling fluids in concentric and eccentric annulus. Experimental data from literature were used to train the GRNN for estimating pressure losses in annulus. The predicted values using GRNN closely followed the experimental ones with an average relative absolute error less than 6.24%, and correlation coefficient ( R ) of 0.99 for pressure loss estimation.

[1]  Stefan Z. Miska,et al.  Experimental Study and Modeling of Yield Power-Law Fluid Flow in Annuli with Drillpipe Rotation , 2008 .

[2]  Keith K. Millheim,et al.  Applied Drilling Engineering , 1986 .

[3]  P. D. Bergman,et al.  Laminar Flow of Non-Newtonian Fluids in Concentric Annuli , 1963 .

[4]  V. C. Kelessidis,et al.  Retraction to Annular Pressure Loss Modeling of Drilling Mud Flowing through an Annular Section Using Artificial Neural Networks (Journal of Dispersion Science and Technology, (2013), 10.1080/01932691.2013.818548) , 2013 .

[5]  Mehmet Evren Ozbayoglu,et al.  Predicting Frictional Pressure Loss During Horizontal Drilling for Non-Newtonian Fluids , 2011 .

[6]  Mustafa Haciislamoglu Practical Pressure Loss Predictions in Realistic Annular Geometries , 1994 .

[7]  V. C. Kelessidis,et al.  Annular Pressure Loss Modeling of Drilling Mud Flowing through an Annular Section Using Artificial Neural Networks , 2013 .

[8]  T. D. Reed,et al.  A New Model for Laminar, Transitional, and Turbulent Flow of Drilling Muds , 1993 .

[9]  Rahman Ashena,et al.  Bottom hole pressure estimation using evolved neural networks by real coded ant colony optimization and genetic algorithm , 2011 .

[10]  M. Sharif,et al.  Numerical modeling of helical flow of viscoplastic fluids in eccentric annuli , 2000 .

[11]  V. Kelessidis,et al.  Experimental study and predictions of pressure losses of fluids modeled as Herschel–Bulkley in concentric and eccentric annuli in laminar, transitional and turbulent flows , 2011 .

[12]  Jorge H.B. Sampaio,et al.  Development of Artificial Neural Networks to Predict Differential Pipe Sticking in Iranian Offshore Oil Fields , 2007 .

[13]  S. M. Ghiaasiaan,et al.  Flow regime identification in gas/liquid/pulp fiber slurry flows based on pressure fluctuations using artificial neural networks , 2003 .

[14]  R. Byron Bird,et al.  Non-Newtonian Flow in Annuli , 1958 .

[15]  Gauri S. Mittal,et al.  Friction Factor Prediction for Newtonian and Non-Newtonian Fluids in Pipe Flows Using Neural Networks , 2007 .

[16]  Sudip Kumar Das,et al.  Prediction of pressure drop using artificial neural network for non-Newtonian liquid flow through piping components , 2010 .

[17]  Stefan Z. Miska,et al.  Analysis of Bed Height in Horizontal and Highly-Inclined Wellbores by Using Artificial Neuraletworks , 2002 .

[18]  Simon Haykin,et al.  Neural Networks: A Comprehensive Foundation , 1998 .

[19]  Samyak Jain,et al.  Friction Pressure Correlations for Newtonian and Non-Newtonian Fluids in Concentric Annuli , 2005 .

[20]  Roberto Maglione,et al.  Optimal determination of rheological parameters for herschel-bulkley drilling fluids using genetic algorithms (GAs) , 2012, Korea-Australia Rheology Journal.

[21]  Roberto Maglione,et al.  Optimal determination of rheological parameters for Herschel-Bulkley drilling fluids and impact on pressure drop, velocity profiles and penetration rates during drilling , 2006 .

[22]  Evren Ozbayoglu,et al.  Estimating Flow Patterns and Frictional Pressure Losses of Two-Phase Fluids in Horizontal Wellbores Using Artificial Neural Networks , 2009 .

[23]  Donald F. Specht,et al.  A general regression neural network , 1991, IEEE Trans. Neural Networks.

[24]  R. Byron Bird,et al.  The Rheology and Flow of Viscoplastic Materials , 1983 .

[25]  Hakki I. Gücüyener,et al.  Flow of yield‐pseudo‐plastic fluids through a concentric annulus , 1992 .

[26]  Faïçal Larachi,et al.  Three-Phase Fluidization Macroscopic Hydrodynamics Revisited , 2001 .

[27]  D. Cheng,et al.  Comparison of methods for predicting head loss in turbulent pipe flow of non-Newtonian fluids , 1984 .

[28]  M. Haciislamoglu,et al.  Non-Newtonian Flow in Eccentric Annuli , 1990 .

[29]  Walid H. Shayya,et al.  Neural network based non-iterative calculation of the friction factor for power law fluids , 2003 .

[30]  Reza Rooki,et al.  Estimation of Pressure Loss of Herschel–Bulkley Drilling Fluids During Horizontal Annulus Using Artificial Neural Network , 2015 .

[31]  Simon Bittleston,et al.  Viscoplastic flow in centered annuli, pipes, and slots , 1991 .

[32]  Xiao Dong Chen,et al.  Effect of Moisture Content on the Physical Properties of Fibered Flaxseed , 2007 .

[33]  Winslow H. Herschel,et al.  Konsistenzmessungen von Gummi-Benzollösungen , 1926 .

[34]  Subhash N. Shah,et al.  Friction Pressure Correlations for Oilfield Polymeric Solutions in Eccentric Annulus , 2009 .

[35]  Roberto Maglione,et al.  Laminar, transitional and turbulent flow of Herschel–Bulkley fluids in concentric annulus , 2008 .