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1、JournalofPetroleumScienceandEngineering156(2017)594–604ContentslistsavailableatScienceDirectJournalofPetroleumScienceandEngineeringjournalhomepage:www.elsevier.com/locate/petrolComputersimulationofresistanceforcemitigationthroughcurvaturebridginginextendedbore-holes*V.I
2、.Gulyayev,E.N.Andrusenko,S.N.GlazunovDepartmentofMathematics,NationalTransportUniversity,SuvorovStreet,1,01010,Kiev,UkraineARTICLEINFOABSTRACTKeywords:Asisshowninscientificliterature,thecurvaturediscontinuityofabore-holetrajectorycanbeoneofthemostDirectedbore-holeinfluent
3、ialfactorsingenerationoffrictionforcesresistingtomotionofdrillstrings.ToavoidthecurvatureDrillstringdiscontinuitiesbetweenthebore-holesections,curvature-bridgecurvesintheshapeofclothoidspiralswereCurvaturediscontinuityproposedfortheirsmoothing.Inthispaper,itisshownthati
4、fthetransientclothoidcurveisshort,thecubicClothoidparabolabridgecanbesubstitutedforit.AsdemonstratedbelowwiththeuseoftheelaboratedstiffstringdragSplineinterpolationandtorquemodel,thiscurvehassimplergeometryandissuitableforuseofsplineapproximations.Theimpactofthecurvatur
5、ebreaksmoothingontheresistanceforcesreductionisinvestigatedfortrippinginandoutoperationsanddifferentregimes,simulatingdrillingprocedure.Thecasesofpuresliding,purerotationandtheircombi-nationsareconsideredforthe2Dand3Dmodelsofthebore-holetrajectories.1.Introductionthecl
6、othoidcurvaturebeginswithzeroatthestraightsection(atthetangentpoint)andincreaseslinearlywithitscurvelength;Theproblemofdesignofcurvilineartrajectoriesascombinationsofatthepointwheretheclothoidmeets(touches)thecircularcurve,itssimplestcurvesegmentshasimportantapplicatio
7、nsinengineering.Itiscurvaturebecomesequaltocurvatureofthelatter.conceivablethatthemostimportantandillustrativequestionsofthisdirectionarerelatedtothetransporttechnology,namely,inthedesignofTheclothoidoutlineisrepresentedintheintegralform(Abramowitztracktrajectories.Ifav
8、ehicletravelingonarectilinearroadinstantlyandStegun,1972):proceedstoatangentialcircumferentialtrack,itundergoe
