V. A. Zhigarev, D. V. Guzei, E. I. Lysakova, V. Ya. Rudyak, A. V. Minakov
{"title":"A Computational Study of Cuttings Transport\nin a Horizontal Well with an Oil-Based Drilling Fluid Modified by Multiwalled Carbon\nNanotubes","authors":"V. A. Zhigarev, D. V. Guzei, E. I. Lysakova, V. Ya. Rudyak, A. V. Minakov","doi":"10.1134/S1990478924030190","DOIUrl":null,"url":null,"abstract":"<p> We have conducted a computational study of the effect of adding multiwalled carbon\nnanotubes (MWCNTs) to oil-based drilling fluids on the efficiency of cuttings removal from\nan annular channel simulating a horizontal section of a well. To simulate the process of sludge\ntransport in an annular channel, a mathematical model based on the Eulerian approach of\na granular medium for a turbulent flow regime has been developed. The rheology of the drilling\nfluid modified with MWCNTs was described by the Herschel–Bulkley model with experimentally\ndetermined rheological coefficients. The base oil-based drilling fluid was an inverse emulsion with\na ratio of hydrocarbon and water phases equal to 65/35. The concentration of MWCNTs in\nsolutions varied from 0.1 to 0.5 wt %. The size of the transported sludge particles varied\nfrom 2 to 7 mm. The flow structure of a two-phase flow in an annular channel for various\nconcentrations of MWCNTs has been studied. The dependences of the sludge removal efficiency\ncoefficient, the average slip speed of sludge particles, and pressure losses on the concentration of\nnanotubes are obtained. It has been established that the addition of nanotubes leads to a\nsignificant change in the flow pattern of the drilling fluid and, as a result, to a change in the\nmodes of cuttings transport. Addition of 0.5 wt % of MWCNTs leads to an increase in the\nefficiency of well flushing by approximately 40%. Thus, based on the results of the computational\nstudy, it has been shown that the addition of multiwalled nanotubes to oil-based drilling fluids can\nlead to an increase in the efficiency of cuttings transport in horizontal wells.\n</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"18 3","pages":"598 - 611"},"PeriodicalIF":0.5800,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied and Industrial Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1134/S1990478924030190","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Engineering","Score":null,"Total":0}
引用次数: 0
Abstract
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.
期刊介绍:
Journal of Applied and Industrial Mathematics is a journal that publishes original and review articles containing theoretical results and those of interest for applications in various branches of industry. The journal topics include the qualitative theory of differential equations in application to mechanics, physics, chemistry, biology, technical and natural processes; mathematical modeling in mechanics, physics, engineering, chemistry, biology, ecology, medicine, etc.; control theory; discrete optimization; discrete structures and extremum problems; combinatorics; control and reliability of discrete circuits; mathematical programming; mathematical models and methods for making optimal decisions; models of theory of scheduling, location and replacement of equipment; modeling the control processes; development and analysis of algorithms; synthesis and complexity of control systems; automata theory; graph theory; game theory and its applications; coding theory; scheduling theory; and theory of circuits.