EP0677641B1 - Verfahren zum Optimieren der Charakteristiken einer axialen Flussigkeitströmung um die Stange, in einem variablen ringförmigen Raum - Google Patents

Verfahren zum Optimieren der Charakteristiken einer axialen Flussigkeitströmung um die Stange, in einem variablen ringförmigen Raum Download PDF

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Publication number
EP0677641B1
EP0677641B1 EP95400663A EP95400663A EP0677641B1 EP 0677641 B1 EP0677641 B1 EP 0677641B1 EP 95400663 A EP95400663 A EP 95400663A EP 95400663 A EP95400663 A EP 95400663A EP 0677641 B1 EP0677641 B1 EP 0677641B1
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EP
European Patent Office
Prior art keywords
tubular element
annular space
fluid
rod
flow
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Expired - Lifetime
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EP95400663A
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English (en)
French (fr)
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EP0677641A1 (de
Inventor
Ulysse Cartalos
Mustafa Haciislamoglu
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IFP Energies Nouvelles IFPEN
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IFP Energies Nouvelles IFPEN
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Classifications

    • E—FIXED CONSTRUCTIONS
    • E21—EARTH OR ROCK DRILLING; MINING
    • E21B—EARTH OR ROCK DRILLING; OBTAINING OIL, GAS, WATER, SOLUBLE OR MELTABLE MATERIALS OR A SLURRY OF MINERALS FROM WELLS
    • E21B21/00—Methods or apparatus for flushing boreholes, e.g. by use of exhaust air from motor
    • E21B21/08—Controlling or monitoring pressure or flow of drilling fluid, e.g. automatic filling of boreholes, automatic control of bottom pressure

Definitions

  • the present invention relates to a method for optimize the characteristics of a fluid circulation that one establishes in an annular space around a tubular member and in particular a rotating tubular element, such as a long rod or a string of rods, dynamically taking into account deformations undergone in operation by this tubular element and therefore the variation of the annular space around it.
  • the method according to the invention is particularly suitable in the case of narrow annulars where the ratio between the diameter of the inner tubular member and the diameter of the outer conduit is greater than 0.5.
  • the method according to the invention finds applications especially in the context of oil drilling or in geotechnical, where it allows to determine the velocity field of a drilling fluid circulating in space around a train of drill pipes as well as the pressure losses resulting from frictions, for complex geometries of this space, consecutive to the movements and deformations of the rods.
  • the method is particularly suitable for optimizing the conditions of circulation of fluids in the boreholes carried out in narrow wells using the so-called "slim hole” technique where, in due to the reduced annular dimensions, pressures may be generated, which endanger the stability of the formation crossing.
  • the resolution method generally used for model the behavior of a fluid circulating in a eccentric annular consists of assimilating the space around the rod to a juxtaposition of slots. We have so far considered either that the rod was centered in the duct, that its eccentricity eventual was uniform throughout this rod. As part from this assumption, the slots are considered to be parallel and of constant thickness over their entire length.
  • the respective axes of the drilled hole and of the drill string are offset from each other due to deviations from one and / or flexions from the other. From this shift which varies along the drill string, depends on the eccentricity of the annular space between them.
  • the object of the method according to the invention is to construct a representative model of the velocity field of a circulating fluid in a conduit around an eccentric tubular rod variable, both laminar and turbulent, as well as of the distribution of annular pressure drops as a function of debits.
  • the method according to the invention is characterized in that it involves modeling the flow in the annular space considering that the shape of it is variable all along of the tubular element and taking into account properties actual rheological of the fluid (variation of viscosity with the shear rate for example), so as to determine the value of the velocity field and the value of the pressure in all point along this annular space.
  • the method can also include the application to these values obtained for a tubular element with variable eccentricity, a dimensionless correction factor depending on the number of Reynolds (Re) and the Taylor number (Ta) of the fluid used, for take into account variations in pressure drop in the ring finger generated by the speed of rotation of the tubular element.
  • the method according to the invention takes good account of the two essential factors governing the evolution of pressures in narrow annulars: variable eccentricity and rotation of the tubular element. It therefore makes it possible to connect in a reliable ring pressure at operating parameters: geometry, flow, speed of rotation, as well as the rheology of the circulating fluid.
  • the rheology of the fluid optimal to maintain a high flow rate to obtain a good removal of cuttings without annular pressures break out of a safety range and damage the hole.
  • the method thus makes it possible to define rules on rheology and therefore on the composition of fluids and in particular fluids without solid particles used in "slim hole”.
  • the space annular 3 is assimilated to a series of juxtaposed slots of variable thickness depending on the actual offset.
  • Space ring around the rod is deployed (Fig 4, 5) and we consider that the fluid flows between a number of plates of variable spacing in the axial direction (Fig. 9).
  • the dimensionless viscosity ⁇ D 1 for Newtonian fluids.
  • the flow velocity and the transverse length scale are taken into account to calculate this dimensionless viscosity.
  • P D P / P 0 where P 0 which represents the pressure losses of the fluid circulating in a concentric annular similarly reduced to a slit, is calculated by the relationships established by Reed et al in the publication already cited.
  • the modeling method according to the invention allows extend the scope of the previous model to non-laminar flow regimes of any fluids including the rheofluidification index is generally less than 1, which correspond better to the circulations that we have to model In practice.
  • the method according to the invention however makes it possible to model the velocity field and the loss distributions of load around a long rod in rotation.
  • the method according to the invention provides a solution much simpler in the case where the sinuosity of the rod is low (higher factor 1 / S).
  • a correction factor R is defined as the ratio, for a same flow, between pressure drops per unit length ( ⁇ P / ⁇ L) e, generated by an eccentric rod and the losses of corresponding load ( ⁇ P / ⁇ L) c generated by the same rod centered.
  • the calculation can be generalized for the case of non-Newtonian fluids, whatever their degree of rheo-fluidification.
  • the variation of the corrective factor R which must be introduced when the rod is eccentric but slightly sinuous (1 / S important) in function of the rheohluidification index n is shown on the Figure 7 for the case of a linear type winding or sinusoidal.
  • R W WR i U m where U m the flow rate.
  • R W is a measure of the ratio of the shear rates respectively along the azimuthal and axial directions.

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  • Engineering & Computer Science (AREA)
  • Life Sciences & Earth Sciences (AREA)
  • Geology (AREA)
  • Mining & Mineral Resources (AREA)
  • Mechanical Engineering (AREA)
  • Physics & Mathematics (AREA)
  • Environmental & Geological Engineering (AREA)
  • Fluid Mechanics (AREA)
  • General Life Sciences & Earth Sciences (AREA)
  • Geochemistry & Mineralogy (AREA)
  • Earth Drilling (AREA)

Claims (3)

  1. Verfahren zum Optimieren der Charakteristiken einer Fluidzirkulation, die man in einem Ringraum (3) und insbesondere in einem relativ engen Ringraum um ein röhrenförmiges Element (2), beispielsweise eine lange Stange oder einen Strang aus Stangen herstellt, deren Exzentrizität im Hinblick auf Verformungen variiert, dadurch gekennzeichnet, daß es die Modellierung der Strömung im Ringraum derart umfaßt, daß der Wert des Geschwindigkeitsfeldes und der Wert des Drucks an jedem Punkt längs dieses Ringraumes bestimmt wird, indem man die reellen rheologischen Eigenschaften des Fluids berücksichtigt und indem man berücksichtigt, daß dessen Form variabel längs des röhrenförmigen Elementes ist, die Anwendung an den Druckveränderungen eines adimensionellen Korrekturfaktors (Rp) umfassend, der von der Reynoldszahl (Re) und der Taylorzahl (Ta) des verwendeten Fluids abhängt und die folgende Beziehung einhält: Rp = A.Rec.Tad, wo 0< A<10, 0< c < 2; und 0 < d < 2, wenn die jeweiligen Verhältnisse der Trägheits- und Viskositätseffekte entsprechend der axialen Richtung und der azimutalen Richtung jeweils größer als ein bestimmter Wert sind, um Veränderungen der Druckverluste im Ringraum zu berücksichtigen, welche durch die Rotationsgeschwindigkeit (W) des röhrenförmigen Elementes hervorgerufen wurden.
  2. Verfahren nach dem vorhergehenden Anspruch, dadurch gekennzeichnet, daß man mögliche dynamische Modifikationen der Form des röhrenförmigen Elementes durch Anwendung eines anderen im wesentlichen konstanten Korrekturfaktors (R) berücksichtigt, der auch unabhängig von der Form des röhrenförmigen Elementes ist, solange die Krümmung (S) hiervon relativ gering bleibt.
  3. Verfahren nach Anspruch 2, dadurch gekennzeichnet, daß man den anderen Korrekturfaktor (R) wählt im Intervall: 0.1 < R < 10.
EP95400663A 1994-04-15 1995-03-24 Verfahren zum Optimieren der Charakteristiken einer axialen Flussigkeitströmung um die Stange, in einem variablen ringförmigen Raum Expired - Lifetime EP0677641B1 (de)

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
FR9404622 1994-04-15
FR9404622A FR2718790B1 (fr) 1994-04-15 1994-04-15 Méthode pour optimiser les caractéristiques d'une circulation axiale de fluide dans un espace annulaire variable autour de tiges.

Publications (2)

Publication Number Publication Date
EP0677641A1 EP0677641A1 (de) 1995-10-18
EP0677641B1 true EP0677641B1 (de) 2000-07-12

Family

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EP95400663A Expired - Lifetime EP0677641B1 (de) 1994-04-15 1995-03-24 Verfahren zum Optimieren der Charakteristiken einer axialen Flussigkeitströmung um die Stange, in einem variablen ringförmigen Raum

Country Status (6)

Country Link
US (1) US5850621A (de)
EP (1) EP0677641B1 (de)
BR (1) BR9501571A (de)
CA (1) CA2147088A1 (de)
FR (1) FR2718790B1 (de)
NO (1) NO318446B1 (de)

Families Citing this family (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
FR2801996B1 (fr) 1999-12-07 2002-01-11 Inst Francais Du Petrole Methode et systeme pour le calcul de pertes de charge prenant en compte les effets thermiques
US6659197B2 (en) * 2001-08-07 2003-12-09 Schlumberger Technology Corporation Method for determining drilling fluid properties downhole during wellbore drilling

Family Cites Families (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US4726219A (en) * 1986-02-13 1988-02-23 Atlantic Richfield Company Method and system for determining fluid pressures in wellbores and tubular conduits
US4821564A (en) * 1986-02-13 1989-04-18 Atlantic Richfield Company Method and system for determining fluid pressures in wellbores and tubular conduits

Also Published As

Publication number Publication date
NO318446B1 (no) 2005-03-21
FR2718790A1 (fr) 1995-10-20
NO951431D0 (no) 1995-04-12
EP0677641A1 (de) 1995-10-18
CA2147088A1 (fr) 1995-10-16
FR2718790B1 (fr) 1996-05-31
BR9501571A (pt) 1995-11-14
US5850621A (en) 1998-12-15
NO951431L (no) 1995-10-16

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