Development and Evaluation of Multiphase Closure Models used in the Simulation of Unconventional Wellbore Dynamics
- Travis Mitchell (The University of Queensland) | Bryce Hill (The University of Queensland) | Mahshid Firouzi (The University of Queensland) | Christopher Leonardi (The University of Queensland)
- Document ID
- Unconventional Resources Technology Conference
- SPE/AAPG/SEG Asia Pacific Unconventional Resources Technology Conference, 18-19 November, Brisbane, Australia
- Publication Date
- Document Type
- Conference Paper
- 2019, Unconventional Resources Technology Conference (URTeC)
- Wellbore dynamics, Multiphase flow, Computational fluid dynamics, Lattice Boltzmann modelling, Annular Taylor bubble
- 0 in the last 30 days
- 57 since 2007
- Show more detail
|SPE Member Price:||USD 9.50|
|SPE Non-Member Price:||USD 28.00|
A detailed understanding of wellbore flow is essential for production engineers in both the design of site equipment and optimisation of operation conditions. With the depletion of conventional resources, the need for unconventional extraction techniques to leverage untapped reserves has seen the generation of new downhole flow conditions. In particular, the extraction of natural gas from coal seams has led to scenarios where liquid removal from the reservoir can cause the development of a counter-current multiphase flow in the well annulus in pumped wells. In this work, high-fidelity computational fluid dynamics is used to capture the momentum interaction between gas and liquid phases in such a flow configuration, allowing for the evaluation and modification of closure relations used in upscaled models.
The computational fluid dynamics model is based on a recently proposed formulation developed using phase-field theory in the lattice Boltzmann (LB) framework. It has been previously applied to the analysis of Taylor bubbles in tubular and annular pipes at a range of inclinations and flow directions. The robustness of the numerical formulation has been proven with a range of benchmark scenarios that extend upon previously reported results in the LB literature. Future investigations will look to apply the developed closure relations into the two-fluid model and compare with in-house experimental and mechanistic results.
Using the multiphase lattice Boltzmann model, the drag force closure relations are investigated for bubbles covering a range of parameters. This assesses the accuracy of existing closures and provides confidence in the developed computational tool. Following on from this, the size of the liquid slug behind a Taylor bubble is analysed. Comparison of the results with pre-existing relations provides a means to modify current large-scale simulators to accurately capture the momentum exchange between gas and liquid phases in a wellbore. With the improved understanding of phase interactions developed in this study, upscaling work is to be conducted through the implementation of closure models within a two-fluid-type model, not unlike OLGA, as well as in a recent mechanistic model.
The novelty of the high-fidelity computational model is in its ability to resolve high density ratio (liquid-gas) flows under complex, dynamic conditions within the lattice Boltzmann framework. Additionally, the development and validation of novel closure relations for mechanistic and two-fluid models improves the accuracy of predictions associated with wellbore operations, ultimately allowing for more optimised production.
|File Size||1 MB||Number of Pages||20|
Adaze, Ernest, Al-Sarkhi A., Badr H. M. 2019. Current status of CFD modeling of liquid loading phenomena in gas wells: a literature review. Journal of Petroleum Exploration and Production Technology, 9 (2): 1397–1411. 10.1007/s13202-018-0534-4.
Bhaga, D., Weber M. E.. 1981. Bubbles in viscous liquids: shapes, wakes and velocities. Journal of Fluid Mechanics, 105 (-1): 61. 10.1017/s002211208100311x.
Caetano, E. F., Shoham O., Brill J. P.. 1992. Upward Vertical Two-Phase Flow Through an Annulus—Part II: Modeling Bubble, Slug, and Annular Flow. Journal of Energy Resources Technology, 114 (1): 14. 10.1115/1.2905916.
Chiu, Pao-Hsiung, Yan-Ting Lin. 2011. A conservative phase field method for solving incompressible two-phase flows. Journal of Computational Physics, 230 (1): 185–204. 10.1016/j.jcp.2010.09.021.
Das, G., Das P. K., Purohit N. K. 1998. Rise velocity of a Taylor bubble through concentric annulus. Chemical Engineering Science, 53 (5): 977–993. 10.1016/s0009-2509(97)00210-8.
Fakhari, Abbas, Bolster Diogo, Luo Li-Shi. 2017. A weighted multiple-relaxation-time lattice Boltzmann method for multiphase flows and its application to partial coalescence cascades. Journal of Computational Physics, 341: 22–43. 10.1016/j.jcp.2017.03.062.
Fakhari, Abbas, Travis Mitchell, Christopher Leonardi 2017. Improved locality of the phase-field lattice-Boltzmann model for immiscible fluids at high density ratios. Physical Review E, 96 (5). 10.1103/physreve.96.053301.
Firouzi, Mahshid, Brian Towler, Rufford Thomas E.. 2016. Developing new mechanistic models for predicting pressure gradient in coal bed methane wells. Journal of Natural Gas Science and Engineering, 33: 961–972. 10.1016/j.jngse.2016.04.035.
Geier, Martin, Fakhari Abbas, Lee Taehun. 2015. Conservative phase-field lattice Boltzmann model for interface tracking equation. Physical Review E, 91 (6). 10.1103/physreve.91.063309.
Kumar, Anand. 2004. Isotropic finite-differences. Journal of Computational Physics, 201 (1): 109–118. 10.1016/j.jcp.2004.05.005.
Mitchell, T., Leonardi C., Fakhari A.. 2018. Development of a three-dimensional phase-field lattice Boltzmann method for the study of immiscible fluids at high density ratios. International Journal of Multiphase Flow, 107: 1–15. 10.1016/j.ijmultiphaseflow.2018.05.004.
Rohilla, Lokesh, Das Arup Kumar. 2019. Experimental Study on the Interfacial Evolution of Taylor Bubble at Inception of an Annulus. Industrial & Engineering Chemistry Research, 58 (6): 2356–2369. 10.1021/acs.iecr.8b05964.
Sitompul, Yos Panagaman, Takayuki Aoki. 2019. A filtered cumulant lattice Boltzmann method for violent two-phase flows. Journal of Computational Physics, 390: 93–120. 10.1016/j.jcp.2019.04.019.
Sun, Y., Beckermann C.. 2007. Sharp interface tracking using the phase-field equation. Journal of Computational Physics, 220 (2): 626–653. 10.1016/j.jcp.2006.05.025.
Taitel, Yehuda, Dvora Bornea, A. E. Dukler. 1980. Modelling flow pattern transitions for steady upward gas-liquid flow in vertical tubes. AIChE Journal, 26 (3): 345–354. 10.1002/aic.690260304.
Tomiyama, Akio, Isao Kataoka, Iztok Zun 1998. Drag Coefficients of Single Bubbles under Normal and Micro Gravity Conditions. JSME International Journal Series B, 41 (2): 472–479. 10.1299/jsmeb.41.472.
Towler, Brian, Mahshid Firouzi, James Underschultz 2016. An overview of the coal seam gas developments in Queensland. Journal of Natural Gas Science and Engineering, 31: 249–271. 10.1016/j.jngse.2016.02.040.
Viana, F., Pardo R., Yánez R. 2003. Universal correlation for the rise velocity of long gas bubbles in round pipes. Journal of Fluid Mechanics, 494: 379–398. 10.1017/s0022112003006165.
Wu, Benjamin, Firouzi Mahshid, Rufford Thomas E. 2019. Characteristics of counter-current gas-liquid two-phase flow and its limitations in vertical annuli. Experimental Thermal and Fluid Science, 109: 109899. https://doi.org/10.1016/j.expthermflusci.2019.109899.
Zu, Y. Q., He S.. 2013. Phase-field-based lattice Boltzmann model for incompressible binary fluid systems with density and viscosity contrasts. Physical Review E, 87 (4). 10.1103/physreve.87.043301.