Geodesic
A computational study of cuttings transport in a horizontal well with an oil-based drilling fluid modified by multiwalled carbon nanotubes
Sibirskij žurnal industrialʹnoj matematiki, Tome 27 (2024) no. 3, pp. 57-73 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We have conducted a computational study of the effect of adding multiwalled carbon nanotubes (MWCNTs) to oil-based drilling fluids on the efficiency of cuttings removal from an annular channel simulating a horizontal section of a well. To simulate the process of sludge transport in an annular channel, a mathematical model based on the Eulerian approach of a granular medium for a turbulent flow regime has been developed. The rheology of the drilling fluid modified with MWCNTs was described by the Herschel—Bulkley model with experimentally determined rheological coefficients. The base oil-based drilling fluid was an inverse emulsion with a ratio of hydrocarbon and water phases equal to 65/35. The concentration of MWCNTs in solutions varied from 0.1 to 0.5 wt %. The size of the transported sludge particles varied from 2 to 7 mm. The flow structure of a two-phase flow in an annular channel for various concentrations of MWCNTs has been studied. The dependences of the sludge removal efficiency coefficient, the average slip speed of sludge particles, and pressure losses on the concentration of nanotubes are obtained. It has been established that the addition of nanotubes leads to a significant change in the flow pattern of the drilling fluid and, as a result, to a change in the modes of cuttings transport. Addition of 0.5 wt % of MWCNTs leads to an increase in the efficiency of well flushing by approximately 40%. Thus, based on the results of the computational study, it has been shown that the addition of multiwalled nanotubes to oil-based drilling fluids can lead to an increase in the efficiency of cuttings transport in horizontal wells.
Keywords: model of granular media, mathematical modeling, oil-based drilling fluid, multiwalled carbon nanotubes, rheology, cuttings transport. 
@article{SJIM_2024_27_3_a4,
     author = {V. A. Zhigarev and D. V. Guzei and E. I. Lysakova and V. Ya. Rudyak and A. V. Minakov},
     title = {A computational study of cuttings transport in a horizontal well with an oil-based drilling fluid modified by multiwalled carbon nanotubes},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {57--73},
     year = {2024},
     volume = {27},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2024_27_3_a4/}
}
TY  - JOUR
AU  - V. A. Zhigarev
AU  - D. V. Guzei
AU  - E. I. Lysakova
AU  - V. Ya. Rudyak
AU  - A. V. Minakov
TI  - A computational study of cuttings transport in a horizontal well with an oil-based drilling fluid modified by multiwalled carbon nanotubes
JO  - Sibirskij žurnal industrialʹnoj matematiki
PY  - 2024
SP  - 57
EP  - 73
VL  - 27
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/SJIM_2024_27_3_a4/
LA  - ru
ID  - SJIM_2024_27_3_a4
ER  - 
%0 Journal Article
%A V. A. Zhigarev
%A D. V. Guzei
%A E. I. Lysakova
%A V. Ya. Rudyak
%A A. V. Minakov
%T A computational study of cuttings transport in a horizontal well with an oil-based drilling fluid modified by multiwalled carbon nanotubes
%J Sibirskij žurnal industrialʹnoj matematiki
%D 2024
%P 57-73
%V 27
%N 3
%U http://geodesic.mathdoc.fr/item/SJIM_2024_27_3_a4/
%G ru
%F SJIM_2024_27_3_a4
V. A. Zhigarev; D. V. Guzei; E. I. Lysakova; V. Ya. Rudyak; A. V. Minakov. A computational study of cuttings transport in a horizontal well with an oil-based drilling fluid modified by multiwalled carbon nanotubes. Sibirskij žurnal industrialʹnoj matematiki, Tome 27 (2024) no. 3, pp. 57-73. http://geodesic.mathdoc.fr/item/SJIM_2024_27_3_a4/

[1] E. V. Babayan and N. Yu. Moisa, Drilling Fluids, Infra-Engineering, M., 2019 (in Russian)

[2] Abdullah A. H., Ridha S., Mohshim D. F., Yusuf M., Kamyab H., Krishna S., Maoinser M. A., “A comprehensive review of nanoparticles: Effect on water-based drilling fluids and wellbore stability”, Chemosphere, 308:1 (2022), 136274 | DOI

[3] Ozkan A., Tiknas S., Ozkan V., “An Innovative Experimental Study on Improving the Rheological Properties of Na-Bentonite Water Based Drilling Muds using Graphene, Graphene Oxide and Graphene Oxide Functionalized with Gold Nanoparticles”, ECS J. Solid State Sci. Technol., 11:8 (2022), 081006 | DOI

[4] Jin J., Lv K., Sun J., Zhang J., Hou Q., Guo X., Liu K., “Robust superhydrophobic TiO$_2$@carbon nanotubes inhibitor with bombax structure for strengthening wellbore in water-based drilling fluid”, J. Mol. Liq., 37015 (2023), 120946 | DOI

[5] Ozkan A., “Effect of gold nanoparticle functionalized multi-walled carbon nanotubes on the properties of na-bentonite water based drilling fluid”, Fresenius Environ. Bull., 29:1 (2020), 143–151 | DOI

[6] Anoop K., Sadr R., Yrac R., Amani M., “Rheology of a colloidal suspension of carbon nanotube particles in a water-based drilling fluid”, Powder Technol., 342 (2019), 585–593 | DOI

[7] Samsuri A., Hamzah A., “Water based mud lifting capacity improvement by multiwall carbon nanotubes additive”, Int. J. Pet. Gas Eng., 3:8 (2016), 1–9

[8] Aftab A., Ismail A. R., Ibupoto Z. H., “Enhancing the rheological properties and shale inhibition behavior of water-based mud using nanosilica, multi-walled carbon nanotube, and graphene nanoplatelet”, Egypt. J. Pet., 26:2 (2017), 291–299 | DOI

[9] Alvi M. A. A., Belayneh M., Saasen A., Fjelde K. K., Aadnoy B. S., “Effect of MWCNT and MWCNT functionalized -OH and -COOH nanoparticles in laboratory water based drilling fluid”, Proc. Int. Conf. Offshore Mech. Arct. Eng., 2018, V008T11A069 | DOI

[10] Lun C. K. K., Savage S. B., Jeffrey D. J., Chepurniy N., “Kinetic theories for granular flow: Inelastic particles in Couette flow and slightly inelastic particles in a general flow field”, J. Fluid Mech., 140:1 (1984), 223–256 | DOI | Zbl

[11] Ding J., Gidaspow D. A., “Bubbling fluidization model using the kinetic theory of granular flow”, AIChE J., 36:4 (1990), 523–538 | DOI | MR

[12] Gidaspow D., Bezburuah R., Ding J., “Hydrodynamics of circulating fluidized beds, kinetic theory approach”, Proc. 7th Eng. Found. Conf. Fluidization, 1991, 75–82

[13] Minakov A. V., Zhigarev V. A., Mikhienkova E. I., Neverov A. L. , Buryukin F. A., Guzei D. V., “The effect of nanoparticle additives in the drilling fluid on pressure loss and cutting transport efficiency in the vertical boreholes”, J. Pet. Sci. Eng., 171 (2018), 1149–1158 | DOI

[14] Minakov A. V., Mikhienkova E. I., Neverov A. L., Rudyak V. Ya., “Comprehensive numerical study of the effect of nanoparticle additives on the cutting transport performance in horizontal boreholes”, J. Computat. Des. Eng., 8:1 (2021), 283–297 | DOI | MR

[15] Herschel W. H., Bulkley R., “Konsistenzmessungen von Gummi-Benzollosungen”, Kolloid Z., 39:4 (1926), 291–300 | DOI

[16] Saffman P. G., Bulkley R., “The lift on a small sphere in a slow shear flow”, J. Fluid Mech., 22:2 (1965), 385–400 | DOI | Zbl

[17] Ogawa S., Umemura A., Oshima N., “On the equation of fully fluidized granular materials”, J. Appl. Math. Phys., 31 (1980), 483–493 | Zbl

[18] Menter F. R., “Two-equation eddy-viscosity turbulence models for engineering applications”, AIAA J., 32:8 (1994), 1598–1605 | DOI

[19] Gavrilov A. A., Dekterev A. A., Minakov A. V., Rudyak V. Ya., “A numerical algorithm for modeling laminar flows in an annular channel with eccentricity”, J. Appl. Ind. Math., 5:4 (2011), 559–568 | DOI | MR

[20] A. A. Gavrilov, A. V. Minakov, A. A. Dekterev, and V. Ya. Rudyak, “Numerical algorithm for modeling steady-state laminar flows of non-Newtonian fluids in an annular gap with eccentricity”, Vychisl. Tekhnol., 17:1 (2012), 44–56 (in Russian)

[21] Mikhienkova E. I., Lysakov S. V., Neverov A. L., Zhigarev V. A., Minakov A. V., “Experimental study on the influence of nanoparticles on oil-based drilling fluid properties”, J. Pet. Sci. Eng., 208 (2022), 109452 | DOI