Dynamic offset well analysis
US-2024419739-A1 · Dec 19, 2024 · US
US9581008B2 · US · B2
| Field | Value |
|---|---|
| Publication number | US-9581008-B2 |
| Application number | US-200813132421-A |
| Country | US |
| Kind code | B2 |
| Filing date | Dec 2, 2008 |
| Priority date | Dec 2, 2008 |
| Publication date | Feb 28, 2017 |
| Grant date | Feb 28, 2017 |
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A method and apparatus for damping stick-slip oscillations in a drill string. In one embodiment a method includes damping the stick-slip oscillations using a drilling mechanism at the top of said drill string. The speed of rotation of the drilling mechanism is controlled using a PI controller. The control is characterized by tuning the PI controller so that the drilling mechanism absorbs most torsional energy from the drill string at a frequency that is at or near a frequency of the stick-slip oscillations.
Opening claim text (preview).
The invention claimed is: 1. A method of damping stick-slip oscillations in a drill string, the method comprising: damping said stick-slip oscillations, for every length of said drill string, using a drilling mechanism at a top of said drill string, wherein said stick-slip oscillations comprise torsional waves propagating along said drill string; and controlling speed of rotation of said drilling mechanism using a PI controller; characterised by tuning said PI controller so that said drilling mechanism absorbs most torsional energy from said drill string at a frequency that is approximately at a frequency of said stick-slip oscillations; wherein the tuning comprises a step of calculating an I-term of said PI controller which uses a value of an estimated period of said stick slip oscillations and a value of an effective inertia of said drilling mechanism, but which step of calculating the I-term does not use a value of the length of said drill string and a value of a speed of the torsional waves, whereby said drilling mechanism has a frequency dependent reflection coefficient of said torsional waves, which reflection coefficient is substantially at a minimum at or near said frequency of stick-slip oscillations. 2. A method according to claim 1 , further comprising adjusting said I-term according to I=w s 2 J where w s is an estimated angular frequency of said stick-slip oscillations and J is the effective inertia of said drilling mechanism. 3. A method according to claim 1 , further comprising measuring said estimated period of stick-slip oscillations for use in adjusting said I-term. 4. A method according to claim 1 , further comprising adjusting a P-term of said PI controller to be a same order of magnitude as the characteristic impedance ζ of said drillstring. 5. A method according to claim 4 , further comprising adjusting said P-term such that said reflection coefficient does not vanish whereby a fundamental mode of said stick slip oscillations is inhibited from splitting into two new modes with different frequencies. 6. A method according to claim 4 , further comprising adjusting said P-term as P=ζ/a where a is a mobility factor that permits adjustment of said P-term during drilling, whereby energy absorption of said stick-slip oscillations by said drilling mechanism is increased or reduced. 7. A method according to claim 6 , further comprising increasing said mobility factor based on the magnitude of said stick-slip oscillations being not reduced. 8. A method according to claim 6 , further comprising reducing said mobility factor once the magnitude of said stick-slip oscillations has been reduced, whereby drilling efficiency is increased without re-appearance or increase in magnitude of said stick-slip oscillations. 9. A method according to claim 1 , wherein said PI controller is separate from a drilling mechanism speed controller, the method further comprising bypassing said drilling mechanism speed controller with said PI controller during damping of said stick-slip oscillations. 10. A method according to claim 1 , wherein said drilling mechanism comprises said PI controller, the method further comprising tuning said PI controller when said stick-slip oscillations occur, and leaving said PI controller untuned otherwise. 11. A method according to claim 1 , further comprising estimating an instantaneous rotational speed of a bottom hole assembly at the lower end of said drill string by combining a known torsional compliance of said drill string with variations in a drive torque of said drilling mechanism. 12. A method according to claim 11 , wherein said variations in drive torque are expressed only at a fundamental frequency of said stick-slip oscillations, whereby said estimating is implemented by a PLC and performed in real time. 13. A method according to claim 11 , wherein said estimating comprises band pass filtering a drive torque signal with a band pass filter centred on an estimated frequency of said stick-slip oscillations. 14. A method according to claim 13 , wherein said estimating of instantaneous rotational speed comprises determining a downhole speed using a total static drill string compliance and a phase parameter, and determining a sum of (i) a low pass filtered signal representing a speed of rotation of said drilling mechanism and (ii) said downhole speed. 15. A method according to claim 11 , further comprising determining said estimate periodically and outputting said estimate on a driller's console whereby a driller is provided with a real-time estimate of the instantaneous rotational speed of said bottom hole assembly. 16. A method according to claim 11 , further comprising determining a stick-slip severity as the ratio of dynamic downhole speed amplitude over the mean rotational speed of said drilling mechanism, which stick-slip severity is useable to provide an output signal indicating severity of stick-slip at that point in time. 17. A method according to claim 1 , wherein length of the drill string is up to 5000 meters. 18. A method of drilling a borehole, the method comprising: rotating a drill string with a drilling mechanism so as to rotate a drill bit at a lower end of said drill string; and in response to detection of stick-slip oscillations of said drill string, wherein said stick- slip oscillations comprise torsional waves propagating along said drill string, damping said stick- slip oscillations, for every length of said drill string, using a PI controller to control said drilling mechanism, which PI controller has been tuned so that said drilling mechanism absorbs most torsional energy from said drill string at a frequency that is approximately at a frequency of said stick-slip oscillations; and calculating an I-term of said PI controller using a value of estimated period of said stick slip oscillations and on a value of effective inertia of said drilling mechanism, wherein the calculating the I-term does not use a value of the length of said drill string and a value of a speed of the torsional waves, whereby said drilling mechanism has a frequency dependent reflection coefficient of said torsional waves, which reflection coefficient is substantially at a minimum at or near said frequency of stick-slip oscillations. 19. A drilling mechanism for use in drilling a borehole, the drilling mechanism comprising: an electronic controller having: a PI controller and memory storing computer executable instructions that when executed cause said electronic controller to: damp stick-slip oscillations, for every length of a drill string, using said drilling mechanism at a top of said drill string, wherein said stick- slip oscillations comprise torsional waves propagating along said drill string; control speed of rotation of said drilling mechanism using said PI controller and to: tune said PI controller so that said drilling mechanism absorbs most torsional energy from said drill string at a frequency that is approximately at a frequency of said stick-slip oscillations; and calculate an I-term of said PI controller using a value of an estimated period of said stick slip oscillations and a value of an effective inertia of said drilling mechanism, but not using a value of the length of said drill string and a value of a speed of the torsional waves in the calculation of the I-term, whereby said drilling mechanism has a frequency dependent reflection coefficient of said torsional waves, which reflection coefficient is substantially at a minimum at or near said frequency of stick-slip oscillations.
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