# US 10,480,304 B2 · Analysis of drillstring dynamics using an angular rate sensor > Agents: this data is available as JSON from the patentgrep API and MCP server — see https://patentgrep.com/llms.txt - Number: US 10,480,304 B2 - Document ID: US10480304B2 - Status: Granted - Kind: B2 - Application number: 13/651,138 - Filed: 2012-10-12 - Published: 2013-04-18 - Granted: 2019-11-19 - Earliest claimed: 2011-10-14 - Assignees: Weatherford Technology Holdings, LLC - Applicants: Precision Energy Services, Inc. - Inventors: Charles Lee Mauldin; Roger P. Bartel; Richard Berns - Web page: https://patentgrep.com/patent/US10480304B2 ## CPC - E21B 44/00: Automatic control systems specially adapted for drilling operations, i.e. self-operating systems which function to carry out or modify a drilling operation without intervention of a human operator, e.g. computer-controlled drilling systems; Systems specially adapted for monitoring a plurality of drilling variables or conditions - E21B 44/005: {Below-ground automatic control systems} - E21B: EARTH OR ROCK DRILLING; OBTAINING OIL, GAS, WATER, SOLUBLE OR MELTABLE MATERIALS OR A SLURRY OF MINERALS FROM WELLS ## Abstract Downhole drilling vibration analysis uses an angular rate sensor on a drilling assembly. During drilling operations, the sensor measures the angular rate of the drilling assembly. Processing circuitry is operatively coupled to the angular rate sensor and is configured to determine whether torsional type vibrations are occurring during drilling based on the angular rate data. Drilling operations can then be modified to overcome or mitigate the torsional type vibrations. ## Claims ### Claim 1 A downhole drilling vibration analysis method, comprising: drilling a borehole with a drilling assembly having at least one angular rate sensor; determining angular positions of the drilling assembly about a circumference of the borehole while drilling downhole; measuring instantaneous angular rates of the drilling assembly with the at least one angular rate sensor while drilling downhole; analyzing changes of the measured instantaneous angular rates occurring at least at a plurality of the determined angular positions of the drilling assembly about the circumference of the borehole by determining, at which of the angular positions of the drilling assembly about the circumference of the borehole, decrease in the instantaneous angular rates occurs, the decrease being indicative of a sticking of the drilling assembly at the determined angular position; and determining that torsional vibration is occurring during drilling based on the analysis. ### Claim 2 (depends on 1) The method of claim 1, wherein measuring the instantaneous angular rates of the drilling assembly with the at least one angular rate sensor while drilling downhole comprises measuring the instantaneous angular rates with an angular rate gyroscope responsive to Coriolis acceleration. ### Claim 3 (depends on 1) The method of claim 1, wherein analyzing the changes of the measured instantaneous angular rates occurring at least at the plurality of the determined angular positions of the drilling assembly about the circumference of the borehole comprises determining, from the changes, a pattern of vibration per one or more revolutions of the drilling assembly. ### Claim 4 (depends on 3) The method of claim 3, wherein determining that torsional vibration is occurring during drilling based on the analysis comprises determining a severity measure of the torsional vibration based on one or more aspects of the determined pattern. ### Claim 5 (depends on 1) The method of claim 1, wherein analyzing the changes of the measured instantaneous angular occurring at least at the plurality of the determined angular positions of the drilling assembly about the circumference of the borehole comprises determining, from the changes, one or more cycles of increased angular rate of the measured instantaneous angular rates per one or more revolutions of the drilling assembly. ### Claim 6 (depends on 5) The method of claim 5, wherein determining that torsional vibration is occurring during drilling based on the analysis comprises calculating a torsional vibration measure, indicative of the torsional vibration, based on a number of the one or more cycles. ### Claim 7 (depends on 5) The method of claim 5, wherein determining that torsional vibration is occurring during drilling based on the analysis comprises calculating a torsional vibration measure, indicative of the torsional vibration, based on an amplitude of the one or more cycles. ### Claim 8 (depends on 1) The method of claim 1, wherein analyzing the changes of the measured instantaneous angular rates occurring at least at the plurality of the determined angular positions of the drilling assembly about the circumference of the borehole comprises determining, from the changes, vibration over revolutions over time of the drilling assembly. ### Claim 9 (depends on 8) The method of claim 8, wherein determining that torsional vibration is occurring during drilling based on the analysis comprises calculating a torsional vibration measure, indicative of the torsional vibration, based on a frequency of the vibration over the revolutions over time of the drilling assembly. ### Claim 10 (depends on 1) The method of claim 1, wherein determining that torsional vibration is occurring during drilling based on the analysis further comprises augmenting the determination by calculating a dimensionless measure relating a maximum revolutions over time, a minimum revolutions over time, and an average revolutions over time. ### Claim 11 (depends on 1) The method of claim 1, wherein the at least one angular rate sensor comprises at least two angular rate sensors displaced along the drilling assembly. ### Claim 12 (depends on 11) The method of claim 11, wherein measuring the instantaneous angular rates comprises measuring the instantaneous angular rates about a same axis with the at least two angular rate sensors downhole while drilling with the drilling assembly. ### Claim 13 (depends on 11) The method of claim 11, wherein analyzing the measured instantaneous angular rates comprises comparing the instantaneous angular rates from the at least two angular rate sensors. ### Claim 14 (depends on 13) The method of claim 13, wherein determining that torsional vibration is occurring during drilling based on the analysis comprises determining an aspect of at least one of bending and twisting of the drilling assembly based on the comparison. ### Claim 15 (depends on 1) The method of claim 1, further comprising changing one or more operating parameters of the drilling assembly based on the determined torsional vibration. ### Claim 16 (depends on 15) The method of claim 15, wherein changing the one or more operating parameters of the drilling assembly comprises changing one or more of weight on bit, rotational speed, torque, pump rate, mud flow rate, and mud motor operation. ### Claim 17 (depends on 15) The method of claim 15, wherein changing the one or more operating parameters comprises operating a drilling interrupting mechanism on the drilling assembly based on the determined torsional vibration. ### Claim 18 (depends on 1) The method of claim 1, wherein analyzing the changes and determining the torsional vibration comprises at least partially processing the measured angular rate data downhole at the drilling assembly. ### Claim 19 (depends on 18) The method of claim 18, wherein analyzing the changes and determining the torsional vibration comprises communicating the at least partially processed angular rate data from the drilling assembly to the surface. ### Claim 20 (depends on 19) The method of claim 19, wherein analyzing the changes and determining the torsional vibration comprises completing processing of the measured angular rate data downhole at the surface. ### Claim 21 (depends on 1) The method of claim 1, wherein determining the angular positions of the drilling assembly about the circumference of the borehole while drilling downhole comprises measuring orientations of magnetometers with respect to the earth's magnetic field and calculating the angular positions from the measured orientations. ### Claim 22 (depends on 1) The method of claim 1, wherein determining the angular positions of the drilling assembly about the circumference of the borehole while drilling downhole comprises measuring orientations of accelerometers with respect to the earth's gravitational field and calculating the angular positions from the measured orientations. ### Claim 23 (depends on 1) The method of claim 1, wherein measuring the instantaneous angular rates of the drilling assembly with the at least one angular rate sensor while drilling downhole comprises measuring magnitudes related to tangential speed, per angular position, per time. ### Claim 24 (depends on 1) The method of claim 1, wherein determining the angular positions of the drilling assembly about the circumference of the borehole while drilling downhole comprises at least periodically determining a geometric reference of the angular positions of the drilling assembly within the borehole during drilling. ### Claim 25 (depends on 1) The method of claim 1, further comprising at least periodically determining bias of the at least one angular rate sensor when rotation of the drilling assembly is stopped, wherein measuring the instantaneous angular rates comprises correcting the measurements for the determined bias. ### Claim 26 (depends on 1) The method of claim 1, wherein analyzing the changes of the measured instantaneous angular rates occurring at least at the plurality of the determined angular positions of the drilling assembly about the circumference of the borehole further comprises determining, at which of the angular positions of the drilling assembly about the circumference of the borehole, increase in the instantaneous angular rates occurs, the increase being indicative of a slipping of the drilling assembly at the determined angular position. ### Claim 27 (depends on 1) The method of claim 1, wherein determining that the torsional vibration is occurring during drilling based on the analysis comprises determining the torsional vibration selected from the group consisting of stick-slip, bit whirl, precessional movement, forward whirl, backward whirl, torsional variation, elastic deformation, bending, twisting, and combinations thereof. ### Claim 28 A downhole drilling vibration analysis method, comprising: drilling a borehole with a drilling assembly having an angular rate sensor; determining rotational positions of the drilling assembly about a circumference of the borehole while drilling downhole; measuring instantaneous rotational speeds of the drilling assembly with the angular rate sensor while drilling downhole; analyzing changes of the measured instantaneous rotational speeds occurring at least at a plurality of the determined rotational positions of the drilling assembly about the circumference of the borehole by determining, at which of the determined rotational positions, decrease and/or increase in the instantaneous rotational speeds occurs, the decrease being indicative of a sticking of the drilling assembly at the determined rotational position, the increase being indicative of a slipping of the drilling assembly at the determined rotational position; and determining that torsional vibration is occurring during drilling based on the analysis. ### Claim 29 A drilling assembly for drilling a borehole, the assembly comprising: a drill collar disposed on a drill string; a drill bit disposed on the drill collar; a sensor element disposed on the drill collar and determining angular positions of the drilling assembly about a circumference of the borehole while drilling downhole, the sensor element including at least one angular rate sensor measuring instantaneous angular rates downhole while drilling with the drilling assembly; and processing circuitry in communication with the sensor element, the processing circuitry is configured to: analyze changes of the measured instantaneous angular rates occurring at least at a plurality of the determined angular positions of the drilling assembly about the circumference of the borehole to determine, at which of the angular positions of the drilling assembly about the circumference of the borehole, decrease in the instantaneous angular rates occurs, the decrease being indicative of a sticking of the drilling assembly at the determined angular position, and determine that torsional vibration is occurring during drilling based on the analysis. ### Claim 30 (depends on 29) The assembly of claim 29, wherein the at least one angular rate sensor comprises an angular rate gyroscope responsive to Coriolis acceleration. ### Claim 31 (depends on 29) The assembly of claim 29, wherein the processing circuitry comprises first circuitry disposed on the drill collar. ### Claim 32 (depends on 29) The assembly of claim 29, wherein the processing circuitry comprises second circuitry disposed at the surface. ### Claim 33 (depends on 29) The assembly of claim 29, further comprising telemetry unit communicating information indicative of the torsional vibration from the drill collar to the surface. ### Claim 34 (depends on 29) The assembly of claim 29, further comprising a mechanism disposed on the drilling assembly and operable to interrupt drilling by the drill bit. ### Claim 35 (depends on 29) The system of claim 29, wherein to analyze the changes of the measured instantaneous angular rates occurring at least at a plurality of the determined angular positions of the drilling assembly about the circumference of the borehole, the processing circuitry is configured to: determine, at which of the angular positions of the drilling assembly about the circumference of the borehole, increase in the instantaneous angular rates occurs, the increase being indicative of a slipping of the drilling assembly at the determined angular position. ### Claim 36 A downhole drilling vibration analysis method, comprising: drilling a borehole with a drilling assembly having at least one angular rate sensor; determining angular positions of the drilling assembly about a circumference of the borehole while drilling downhole; measuring instantaneous angular rates of the drilling assembly with the at least one angular rate sensor while drilling downhole; analyzing changes of the measured instantaneous angular rates occurring at least at a plurality of the determined angular positions of the drilling assembly about the circumference of the borehole by determining, at which of the angular positions of the drilling assembly about the circumference of the borehole, increase in the instantaneous angular rates occurs, the increase being indicative of a slipping of the drilling assembly at the determined angular position; and determining that torsional vibration is occurring during drilling based on the analysis. ### Claim 37 (depends on 36) The method of claim 36, wherein measuring the instantaneous angular rates of the drilling assembly with the at least one angular rate sensor while drilling downhole comprises measuring the instantaneous angular rates with an angular rate gyroscope responsive to Coriolis acceleration. ### Claim 38 (depends on 36) The method of claim 36, wherein measuring the instantaneous angular rates of the drilling assembly with the at least one angular rate sensor while drilling downhole comprises measuring magnitudes related to tangential speed, per angular position, per time. ### Claim 39 (depends on 36) The method of claim 36, wherein analyzing the changes of the measured instantaneous angular rates occurring at least at the plurality of the determined angular positions of the drilling assembly about the circumference of the borehole comprises determining, from the changes, a pattern of vibration per one or more revolutions of the drilling assembly; and wherein determining that torsional vibration is occurring during drilling based on the analysis comprises determining a severity measure of the torsional vibration based on one or more aspects of the determined pattern. ### Claim 40 (depends on 36) The method of claim 36, wherein analyzing the changes of the measured instantaneous angular occurring at least at the plurality of the determined angular positions of the drilling assembly about the circumference of the borehole comprises determining, from the changes, one or more cycles of increased angular rate of the measured instantaneous angular rates per one or more revolutions of the drilling assembly; and wherein determining that torsional vibration is occurring during drilling based on the analysis comprises calculating a torsional vibration measure, indicative of the torsional vibration, based on a number of the one or more cycles and/or based on an amplitude of the one or more cycles. ### Claim 41 (depends on 36) The method of claim 36, wherein analyzing the changes of the measured instantaneous angular rates occurring at least at the plurality of the determined angular positions of the drilling assembly about the circumference of the borehole comprises determining, from the changes, vibration over revolutions over time of the drilling assembly; and wherein determining that torsional vibration is occurring during drilling based on the analysis comprises calculating a torsional vibration measure, indicative of the torsional vibration, based on a frequency of the vibration over the revolutions over time of the drilling assembly. ### Claim 42 (depends on 36) The method of claim 36, wherein the at least one angular rate sensor comprises at least two angular rate sensors displaced along the drilling assembly; wherein measuring the instantaneous angular rates comprises measuring the instantaneous angular rates about a same axis with the at least two angular rate sensors downhole while drilling with the drilling assembly; wherein analyzing the measured instantaneous angular rates comprises comparing the instantaneous angular rates from the at least two angular rate sensors; and wherein determining that torsional vibration is occurring during drilling based on the analysis comprises determining an aspect of at least one of bending and twisting of the drilling assembly based on the comparison. ### Claim 43 (depends on 36) The method of claim 36, further comprising changing one or more operating parameters of the drilling assembly based on the determined torsional vibration. ### Claim 44 (depends on 43) The method of claim 43, wherein changing the one or more operating parameters of the drilling assembly comprises: changing one or more of weight on bit, rotational speed, torque, pump rate, mud flow rate, and mud motor operation; and/or operating a drilling interrupting mechanism on the drilling assembly based on the determined torsional vibration. ### Claim 45 (depends on 36) The method of claim 36, wherein determining the angular positions of the drilling assembly about the circumference of the borehole while drilling downhole comprises: measuring orientations of magnetometers with respect to the earth's magnetic field and calculating the angular positions from the measured orientations; or measuring orientations of accelerometers with respect to the earth's gravitational field and calculating the angular positions from the measured orientations; or at least periodically determining a geometric reference of the angular positions of the drilling assembly within the borehole during drilling. ### Claim 46 (depends on 36) The method of claim 36, further comprising at least periodically determining bias of the at least one angular rate sensor when rotation of the drilling assembly is stopped, wherein measuring the instantaneous angular rates comprises correcting the measurements for the determined bias. ### Claim 47 A drilling assembly for drilling a borehole, the assembly comprising: a drill collar disposed on a drill string; a drill bit disposed on the drill collar; a sensor element disposed on the drill collar and determining angular positions of the drilling assembly about a circumference of the borehole while drilling downhole, the sensor element including at least one angular rate sensor measuring instantaneous angular rates downhole while drilling with the drilling assembly; and processing circuitry in communication with the sensor element, the processing circuitry is configured to: analyze changes of the measured instantaneous angular rates occurring at least at a plurality of the determined angular positions of the drilling assembly about the circumference of the borehole to determine, at which of the angular positions of the drilling assembly about the circumference of the borehole, increase in the instantaneous angular rates occurs, the increase being indicative of a slipping of the drilling assembly at the determined angular position, and determine that torsional vibration is occurring during drilling based on the analysis. ### Claim 48 (depends on 47) The assembly of claim 47, wherein the at least one angular rate sensor comprises an angular rate gyroscope responsive to Coriolis acceleration. ### Claim 49 (depends on 47) The assembly of claim 47, further comprising a mechanism disposed on the drilling assembly and operable to interrupt drilling by the drill bit.