Pressure Loss Estimation of Three-Phase Flow in Inclined Annuli for Underbalanced Drilling Condition using Artificial Intelligence

[1] Ramalho, J. (2006). “Underbalanced drilling  in  the  reservoir,  An  integrated  technologyapproach[C].” SPE  Russian  Oil  and  Gas  Technical Conference and Exhibition, Moscow, Russia.

[2] Zhiming, W., Liqiu, P., Ke, Z. (2007). “Prediction  of dynamic wellbore pressure in gasified fluid drilling.” Petroleum  Science , Vol. 4, No. 4, pp. 66-73.

[3] Lockhart,  R.W.,  Martinelli,  R.C.  (1949).  Proposed correlation of data for isothermal two-phase, two-component flow in pipes.” Chemical  Engineering Progress, Vol. 45, No. 1, pp. 39–48.

[4] Duns, H. Jr., Ros, N.C.J. (1963). “Vertical flow of  gas and liquid mixtures in wells.”  Proceedings of the 6^th  World Petroleum Congress, Toyko, Japan.

[5] Beggs, H.D., Brill, J.P. (1973). “A study of two-phase flow in inclined pipes.”  Journal of Petroleum Technology , Vol. 25, No. 5, pp. 607-617.

[6] Oriol, J., Leclerc, J.P., Jallut, C., Tochon, P., Clement,  P. (2008). “Characterization of the two-phase flow regimes and liquid dispersion in horizontal  and vertical tubes by using colored tracer and  non-intrusive optical detector.” Chemical  Engineering Science , Vol. 63, pp. 24-34.

[7] Bonizzi, M., Andreussi, P., Banerjee, S. (2009).  “Flow  regime  independent,  high  resolution  multi-field modeling of near-horizontal gas– liquid flows in pipelines.”  International Journal  of Multiphase Flow, Vol. 35, pp. 34-46.

[8] Sadatomi, M., Sato, Y., Saruwatari, S. (1982).  “Two-phase flow in vertical noncircular chan nels.”International Journal of Multiphase Flow Vol. 8, pp. 641-655.

[9] Hasan, A.R., Kabir, C.S. (1992). “Two-phase flow  in vertical and inclined annuli.” International  Journal of Multiphase Flow , Vol. 18, pp. 279–293.

[10] Zhou, L. (2004). “Cuttings transport with aerated mud in horizontal annulus under elevated pressure and temperature conditions.” PhD Thesis, The University of Tulsa.

[11] Osgouei,  R.E.  (2010).   “Determination  of  cuttings transport properties of gasified drilling fluids.” PhD Thesis, Middle East Technical University, Ankara, Turkey.

[12] Wei, N., Meng, Y.F., Li, G., Wan, L.P., Xu, Z.Y., Xu,  X.F., Zhang, Y. R. (2013). “Cuttings transport models and experimental visualization of underbalanced horizontal drilling.”  Mathemati -cal Problems in Engineering , Vol. 2013, 6 pages.

[13] Yan, T, Wang, K., Sun, X., Luan, S., Shao S. (2014).  “State-of-the-art cuttings transport with aerated liquid and foam in complex structure wells.”  Renew  Sustainable  Energy  Review,  Vol.  37,  pp.  560-568.

[14] Suradi, S.R., Mamat, N.S., Jafar, M.Z., Sulaiman,  W.R.W., Ismail, A.R. (2015). “Study of cuttings transport  using  stable  foam  based  mud  in  inclined wellbore.”  Journal of applied science , Vol.  15, pp. 808-814.

[15] Sato,  Y.,  Yoshinaga,  T.,  Sadatomi,  M.  (1991).   “Data and empirical correlation for the mean velocity of coarse particles in a vertical three-phase air-water-solid particle flow.”  Proceedings  of  the  international  conference  on  multiphase flows, Tsukuba, Japan.

[16] Gillies,  R.G.,  Mckibben,  M.  J.,  Shook,  C.  (1997).  “Pipeline flow of gas, liquid and sand mixture at low velocity.”  Journal of Canadian Petroleum  Technology , Vol. 36, pp. 36-42.

[17] King, M.J.J., Fairhurst, C.P., Hill, T.J. (2001). “Solids transport in multiphase flows: applications to high viscosity systems.”  Journal  of  Energy   Resource , Vol. 123, pp. 200-204.

[18] Yang, Z.L., Ladam, Y., Laux, H., Danielson, T.J.,  Goldszal, A., Martins, A.L. (2007). “Simulation  of  sand  transport  in  a  stratified  gas-liquid two-phase pipe flow.”  Proceedings  of  the  BHR   Multiphase  Production  Technology  Conference Edinburgh, UK.

[19] Ozbayoglu, M.E., Osgouei, R.E., Ozbayoglu, A.M.,  Yuksel, E. (2012). “Hole cleaning performance  of gasified drilling fluids in horizontal well sections.”  SPE Journal , Vol. 17, No. 3, pp. 912-923.

[20]  Xie, J., Yu B., Zhang, X., Shao, Q., Song, X. (2013).  “Numerical  simulation  of  gas-liquid-solid  three-phase flow in deep wells.” Advances  in   Mechanical Engineering , pp. 1-10.

[21] Hagan, M.T., Demuth, H.B., Beale, M.H. (1996).  Neural  network  design .  PWS  Publishing,  Boston, MA.

[22] Rooki, R., DoulatiArdejani, F., Moradzadeh, A.,  Kelessidis, V.C., Nourozi, M. (2012). “Predic tion of terminal velocity of solid spheres falling through Newtonian and non-Newtonian  power law pseudoplastic fluid using artificial neural network.”  International Journal of Min eral Processing , Vol. 110-111, pp. 53-61.

[23] Rooki, R, DoulatiArdejani, F, Moradzadeh, A.  (2014). “Hole cleaning prediction in foam drilling using artificialneural network and multiple linear regression.” Geomaterials,  Vol. 4, No. 1,  pp. 47-53.

[24] Rooki, R. (2015). “Estimation of pressure loss  of  Herschel–Bulkley  drilling  fluids  during  horizontal annulus using artificial neural network.”   Journal of Dispersion Science and Technology, Vol. 36, pp. 161-169.

[25] Osman, E.S.A. (2004). “Artificial neural net work models for identifying flow regimes and predicting  liquid  holdup  in  horizontal  multiphase flow.”  SPE Production and Facilities, Vol.  19, pp. 33-40.

[26] Shippen, M. E., Scott, S. L. (2004). “A neural  network model for prediction of liquid holdup  in two-phase horizontal flow.” SPE Production and Facility , Vol. 19, No. 2, pp. 67-76.

[27] Ozbayoglu, E.M., Ozbayogl, M.A. (2009). “Estimating  flow  patterns  and  frictional  pressure losses of two-phase fluids in horizontal wellbores  using  artificial  neural  networks.”  Petrolelum Science and Technology , Vol. 27, pp. 135-149.

[28] Alizadehdakhel, A., Rahimi, M., Sanjar, J., Alsairafi, A.A. (2009). “CFD and artificial neural  network modeling of two-phase flow pressure drop.” International  Journal  of  Heat  and  Mass   Transfer , Vol. 36, pp. 850–856.

[29]  Haykin, S. (1999).  “Neural  networks:  A  comprehensive foundation.”   2nd  ed.  Upper  Saddle  River, NJ, Prentice Hall.

[30] Demuth, H., Beale M. (2002).  “Neural network  toolbox for use with MATLAB.”  User’s  Guide  Version 4.

[31] Hornik, K., Stinchcombe M., White H. (1989).  “Multilayer feed forward networks are univer sal approximators.” Neural Network , Vol. 2, pp.  359-66.

[32] Cybenko, G. (1989). “Approximation by super position of a sigmoidal function.”  Mathematics of Control, Signals, and Systems , Vol. 2, pp. 303- 14.

[33] Fletcher, D., Goss, E., (1993). “Forecasting with  neural networks: an application using bankruptcy  data.” Information  and  Management Vol. 24, pp. 159-167.