International Journal of Oil, Gas and Coal Engineering

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Analysis of Wellbore Drilling Hydraulics Applying a Transient Godunov Scheme Considering Variations of Injected Flow Rates

Received: 30 May 2017    Accepted: 06 June 2017    Published: 24 October 2017
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Abstract

A new application of the Godunov scheme to describe dynamic oil-well behavior is presented. The numerical model is able to capture discontinuities associated with surface flow-rate variations. The finite volume method and Riemann problems are utilized for building the unsteady discrete solution. Initial and boundary conditions are related to cases of static, steady and transient well condition. Well data used in simulation are taken from true operational conditions and well mechanical configuration. The results of Godunov’s modeling describe the behavior of transient pressure and transient flow rate inside drill pipe and annulus. These profiles are commonly caused by turning on, adjusting mud flow rate and turning off the rig pumps. The evaluated rig indicators are: back pressure, pumping pressure, bottomhole pressure and injected flow rate. Calculated transient profiles are physically consistent and in good agreement with published well data. Therefore, engineering contribution is the application of first-order Godunov method to evaluate the transient hydraulics whereas variations of mud flow rate; also, the analysis and interpretation of the dynamic pressure behavior travelling inside the well. The Godunov scheme has robust engineering applications for modeling the transient drilling hydraulics, e.g., managed pressure drilling, hydraulics of pipe connections, and foam cementing, as well.

DOI 10.11648/j.ogce.20170505.16
Published in International Journal of Oil, Gas and Coal Engineering (Volume 5, Issue 5, September 2017)
Page(s) 116-123
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Drilling Hydraulics, Godunov Scheme, Managed Pressure Drilling, Bottom-Hole Pressure

References
[1] Guo, B, Hareland, G, Rajtar, J. Computer simulation predicts unfavorable mud rate and optimum air injection rate for aerated mud drilling, SPE drilling & completion 1996: 61-66. DOI: 10.2118/26892-PA.
[2] Bourdarias, CS, Gerbi, S. A finite volume scheme for a model coupling free surface and pressurized flows in pipes, Journal of Computational and Applied Mathematics, 2007; 209(1): 109-131. DOI: 10.1016/j.cam.2006.10.086.
[3] Kerger, F, Archambeau, P, Erpicum, S, Dewals, BJ, Pirotton, M. An exact Riemann solver and a Godunov scheme for simulating highly transient mixed flows, Journal of Computational and Applied Mathematics, 2011, 235 (8): 2030-2040. DOI: 10.1016/j.cam.2010.09.026.
[4] Flores-León, JO, Cázarez-Candia O, Nicolás-López R. Single- and two-phase flow models for concentric casing underbalanced drilling. In: Fluid Dynamics in Physics, Engineering and Environmental Applications, pp. 225-232, Springer-Verlag Berlin Heidelberg, Germany. ISBN: 978-3-642-27722-1, 2013.
[5] Udegbunam, JE, Fjelde, KK, Evje, S, Nygaard, G. On the Advection-Upstream-Splitting-Method Hybrid Scheme: A Simple Transient-Flow Model for Managed-Pressure-Drilling and Underbalanced-Drilling Application, SPE Drilling & Completion, SPE Paper No. 168960, 2015: 98-109. DOI: 10.2118/168960-PA.
[6] API RP 13D. Recommended practice on the rheology and hydraulics of oil–well drilling fluids, Fifth edition, Washington, DC, American Petroleum Institute, 2003.
[7] Torkiowei V. and Zheng S. A new approach in pressure transient analysis: Using numerical density derivatives to improve diagnosis of flow regimes and estimation of reservoir properties for multiple phase flow, 2015, Journal of Petroleum Engineering, Article ID 214084. DOI: 10.1155/2015/214084.
[8] Naganawa S., Sato R., and Ishikawa M., Cuttings-transport simulation combined with large-scale-flow-lopp experimental results and logging-while-Drilling data for hole-cleaning evaluation in directional drilling, 2017, SPE Paper No. 171740, SPE Drilling & Completion.
[9] Aragall R., Oppelt J. and Koppe M, Extending the scope of real-time drilling & well control simulators, 2017, 13th Offshore Mediterranean Conference and Exhibition in Ravenna, Italy, March 29-31, SPE Paper No. OMC-2017-694.
[10] Guinot, V. Godunov-type schemes: An introduction for engineers, Chap. 2, 5. Elsevier Science B. V., Amsterdam, The Netherlands. ISBN: 9780444511553, 2003.
[11] Chaudhry, MH. Applied hydraulic transients, Third edition, Springer, New York, USA. ISBN: 978-1-4614-8537-7, 2014.
[12] SPE, The SI metric system of units and SPE metric standard, 1984, 2dn Edition, Texas, USA.
[13] Benkhaldoun, F, Seaïd, M. A simple finite volume method for the shallow water equations, Journal of Computational and Applied Mathematics, 2010; 234(1): 58-72, DOI: 10.1016/j.cam.2009.12.005.
[14] Guinot, V. Numerical simulation of two-phase flow in pipes using Godunov method, International journal for numerical methods in engineering, 2001; 50(5): 1169-1189, DOI: 10.1002/1097-0207(20010220)50: 5<1169.
[15] Nicolás-López, R, Valdiviezo-Mijangos OC, Valle-Molina C. New approach to calculate the mud density for wellbore stability using the asymptotic homogenization theory, Petroleum Science and Technology, 2012; 30(12): 1239-1249. DOI: 10.1080/10916466.2010.503215.
Author Information
  • Mexican Petroleum Institute, Mexico, MEX

  • Department of Petroleum Engineering, Faculty of Engineering, Autonomous National University of Mexico, Mexico, MEX

  • Mexican Petroleum Institute, Mexico, MEX

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  • APA Style

    Rubén Nicolás-López, Angel Sánchez-Barra, Oscar Valdiviezo-Mijangos. (2017). Analysis of Wellbore Drilling Hydraulics Applying a Transient Godunov Scheme Considering Variations of Injected Flow Rates. International Journal of Oil, Gas and Coal Engineering, 5(5), 116-123. https://doi.org/10.11648/j.ogce.20170505.16

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    ACS Style

    Rubén Nicolás-López; Angel Sánchez-Barra; Oscar Valdiviezo-Mijangos. Analysis of Wellbore Drilling Hydraulics Applying a Transient Godunov Scheme Considering Variations of Injected Flow Rates. Int. J. Oil Gas Coal Eng. 2017, 5(5), 116-123. doi: 10.11648/j.ogce.20170505.16

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    AMA Style

    Rubén Nicolás-López, Angel Sánchez-Barra, Oscar Valdiviezo-Mijangos. Analysis of Wellbore Drilling Hydraulics Applying a Transient Godunov Scheme Considering Variations of Injected Flow Rates. Int J Oil Gas Coal Eng. 2017;5(5):116-123. doi: 10.11648/j.ogce.20170505.16

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  • @article{10.11648/j.ogce.20170505.16,
      author = {Rubén Nicolás-López and Angel Sánchez-Barra and Oscar Valdiviezo-Mijangos},
      title = {Analysis of Wellbore Drilling Hydraulics Applying a Transient Godunov Scheme Considering Variations of Injected Flow Rates},
      journal = {International Journal of Oil, Gas and Coal Engineering},
      volume = {5},
      number = {5},
      pages = {116-123},
      doi = {10.11648/j.ogce.20170505.16},
      url = {https://doi.org/10.11648/j.ogce.20170505.16},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ogce.20170505.16},
      abstract = {A new application of the Godunov scheme to describe dynamic oil-well behavior is presented. The numerical model is able to capture discontinuities associated with surface flow-rate variations. The finite volume method and Riemann problems are utilized for building the unsteady discrete solution. Initial and boundary conditions are related to cases of static, steady and transient well condition. Well data used in simulation are taken from true operational conditions and well mechanical configuration. The results of Godunov’s modeling describe the behavior of transient pressure and transient flow rate inside drill pipe and annulus. These profiles are commonly caused by turning on, adjusting mud flow rate and turning off the rig pumps. The evaluated rig indicators are: back pressure, pumping pressure, bottomhole pressure and injected flow rate. Calculated transient profiles are physically consistent and in good agreement with published well data. Therefore, engineering contribution is the application of first-order Godunov method to evaluate the transient hydraulics whereas variations of mud flow rate; also, the analysis and interpretation of the dynamic pressure behavior travelling inside the well. The Godunov scheme has robust engineering applications for modeling the transient drilling hydraulics, e.g., managed pressure drilling, hydraulics of pipe connections, and foam cementing, as well.},
     year = {2017}
    }
    

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  • TY  - JOUR
    T1  - Analysis of Wellbore Drilling Hydraulics Applying a Transient Godunov Scheme Considering Variations of Injected Flow Rates
    AU  - Rubén Nicolás-López
    AU  - Angel Sánchez-Barra
    AU  - Oscar Valdiviezo-Mijangos
    Y1  - 2017/10/24
    PY  - 2017
    N1  - https://doi.org/10.11648/j.ogce.20170505.16
    DO  - 10.11648/j.ogce.20170505.16
    T2  - International Journal of Oil, Gas and Coal Engineering
    JF  - International Journal of Oil, Gas and Coal Engineering
    JO  - International Journal of Oil, Gas and Coal Engineering
    SP  - 116
    EP  - 123
    PB  - Science Publishing Group
    SN  - 2376-7677
    UR  - https://doi.org/10.11648/j.ogce.20170505.16
    AB  - A new application of the Godunov scheme to describe dynamic oil-well behavior is presented. The numerical model is able to capture discontinuities associated with surface flow-rate variations. The finite volume method and Riemann problems are utilized for building the unsteady discrete solution. Initial and boundary conditions are related to cases of static, steady and transient well condition. Well data used in simulation are taken from true operational conditions and well mechanical configuration. The results of Godunov’s modeling describe the behavior of transient pressure and transient flow rate inside drill pipe and annulus. These profiles are commonly caused by turning on, adjusting mud flow rate and turning off the rig pumps. The evaluated rig indicators are: back pressure, pumping pressure, bottomhole pressure and injected flow rate. Calculated transient profiles are physically consistent and in good agreement with published well data. Therefore, engineering contribution is the application of first-order Godunov method to evaluate the transient hydraulics whereas variations of mud flow rate; also, the analysis and interpretation of the dynamic pressure behavior travelling inside the well. The Godunov scheme has robust engineering applications for modeling the transient drilling hydraulics, e.g., managed pressure drilling, hydraulics of pipe connections, and foam cementing, as well.
    VL  - 5
    IS  - 5
    ER  - 

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