A Feasibility Study of Drill Cuttings Slip Velocity Estimation using BBO DTM-Pade’ Semi-analytical Technique

Abdualhakim Dbair; Mazen Elfergani

doi:10.59743/jau.8.3.3

Authors

Abdualhakim Dbair Chemical and Petroleum Engineering, Faculty of Engineering -Khoms, Elmergib University, Libya
Mazen Elfergani Chemical and Petroleum Engineering, Faculty of Engineering -Khoms, Elmergib University, Libya

DOI:

https://doi.org/10.59743/jau.8.3.3

Keywords:

BBO, CFD, DTM- Padé approximation, Slip Velocity

Abstract

The study reviewed the use of DTM-Pade’ approximation method of Basset–Boussinesq–Oseen equation (BBO) in predicting particle slip velocity. A hypothetical example is used in the study with three different diameters, 3,5 and 7mm, of spherical particle assumed to represent wide rang of drill cuttings’ sizes. In addition, the drilling fluid is assumed to be incompressible fluid in stationary mode. The Pade’ approximation (K=20, [8 8]) is used, based on literature, in calculating slip velocities through 2 seconds time span. It is concluded that this technique is a practical mean of particle slip velocity prediction at high Pad’ orders using Matlab for a short period of time, around (o.1 to 0.2 seconds). However, BBO equation application range such as, single particle fall in infinite incompressible fluid, small particle size rang (less than 3mm), low particle to fluid density ratio (higher than 0.38), limits its application in oil well drilling operations. Moreover, the necessity of more factors considerations in simulating drilling operations including Non-Newtonian fluids, wall effect, and wide range of irregular shaped drill cuttings densities and sizes urges for the use of generalized BBO equation. In drilling operations, concisely, drill cuttings are usually mixed in the wellbore annulus and for more reliable predictions the application of more sophisticated techniques such as Machine Learning (MA) and Artificial Intelligence (AI) become indispensable.

References

Agwu O., Akpabio J., Alabi S., Dosunmu A., (2018). Settling velocity of drill cuttings in drilling fluids: A review of experimental, numerical simulations and artificial intelligence studies, Powder Technol. 339. https://doi.org/10.1016/j.powtec.2018.08.064. DOI: https://doi.org/10.1016/j.powtec.2018.08.064

Akhshik S., Behzad M., Rajabi M., (2015a). CFD–DEM approach to investigate the effect of drill pipe rotation on cuttings transport behavior. J. Pet. Sci. Eng. 127, 229–244.

Akhshik S., Behzad M., Rajabi M., (2015b). CFD-DEM approach to investigate the effect of drill pipe rotation on cuttings transport behavior. J. Pet. Sci. Eng. 127, 229–244. https://doi.org/10.1016/j.petrol.2015.01.017 DOI: https://doi.org/10.1016/j.petrol.2015.01.017

Ali Md., (2002). A parametric study of cutting transport in vertical and horizontal well using computational fluid dynamics (CFD). West Virginia University ProQuest Dissertations Publishing,. 1410827.

Aydemir K., Mukhtarov O. (2015), α-Parameterized Differential Transform Method. Cornell University, https://doi.org/10.48550/arXiv.1507.03803 DOI: https://doi.org/10.1186/s13662-015-0360-7

Badrouchi F. (2021), Hole Cleaning And Cuttings Transportation Modelling And Optimization . Theses and Dissertations. 3910. https://commons.und.edu/theses/3910.

Clark R.K., Bickham K.L.(1994), A Mechanistic Model for Cuttings Transport, SPE Annu. Tech. Conf. Exhib. (1994) 15. https://doi.org/10.2118/28306-MS. DOI: https://doi.org/10.2118/28306-MS

Ganji D. (2012), A semi-Analytical technique for non-linear settling particle equation of Motion, J. Hydro-Environment Res. 6 323–327. https://doi.org/10.1016/j.jher.2012.04.002. DOI: https://doi.org/10.1016/j.jher.2012.04.002

Nguyen D., Rahman S.S. (1998), A three-layer hydraulic program for effective cuttings transport and hole cleaning in highly deviated and horizontal wells, SPE Drill. Completion 13, 03, 182–189. DOI: https://doi.org/10.2118/51186-PA

Nouri R. , Ganji D.D. (2014), and Hatami M. , Unsteady sedimentation analysis of spherical particles in Newtonian fluid media using analytical methods, Propuls. Power Res. 3 96–105. https://doi.org/10.1016/j.jppr.2014.05.003. DOI: https://doi.org/10.1016/j.jppr.2014.05.003

Pigott RJS (1941). Mud flow in drilling. In: Paper API-41-091 presented at the Drilling and Production Practice, 1 January, NewYork.

Rashidi M.M. , LARAQI N. , Sadri S. , A Novel Analytical Solution of Mixed Convection about an Inclined Flat Plate Embedded in a Porous Medium Using the DTM-Padé, Int. J. 833 Therm. Sci. 49 (2010) 2405–2412. https://doi.org/10.1016/j.ijthermalsci.2010.07.005. DOI: https://doi.org/10.1016/j.ijthermalsci.2010.07.005

Sifferman T. R. and Becker T. E. (1992). Hole cleaning in full-scale inclined wellbores. SPEdrillingengineering, 7 (02), 115-120.‏ DOI: https://doi.org/10.2118/20422-PA

Torabi M. and Yaghoobi H. (2011), Novel solution for acceleration motion of a vertically falling spherical particle by HPM–Padé approximant, Adv. Powder Technol. 22. https://doi.org/10.1016/j.apt.2011.02.013. DOI: https://doi.org/10.1016/j.apt.2011.02.013

Zakerian, A., Sarafraz, S., Tabzar, A., Hemmati, N., Shadizadeh, S.R., (2018). Numerical modeling and simulation of drilling cutting transport in horizontal wells. J. Pet. Explor. Prod. Technol. 8, 455–474. https://doi.org/10.1007/s13202-018-0435-6. DOI: https://doi.org/10.1007/s13202-018-0435-6

Zhou J.K. (1981), Differential transformation and its applications for electrical circuits, Huazhong Univ. Press. (1986) 1279–1289.