Downhole Accelerometer Centripetal Error Correction

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Solution Overview

Problem

In directional drilling, accelerometers in downhole tools face estimation errors due to manufacturing and assembly variations, as well as challenges in accurately measuring radial offsets and centripetal acceleration, which affect the accuracy of wellbore directional parameters like inclination and azimuth.

Innovation Solution

The system employs an extended Kalman filter to estimate radial offsets and centripetal acceleration using only X and Y-axis accelerometer data, without requiring RPM information, thereby correcting the X-axis accelerometer signal to isolate gravitational acceleration and improve measurement accuracy.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If accelerometers are used in rotating downhole tools for directional drilling, then wellbore directional parameters can be estimated, but manufacturing and assembly variations cause estimation errors

Engineering Contradiction:
Improvewellbore directional parameter estimation accuracyVSAvoidaccelerometer measurement reliability
Core Design Contradiction:
Measurement precisionVSReliability

Solution Approach 1:

The system uses feedback by continuously monitoring accelerometer outputs and using the extended Kalman filter to estimate radial offsets and centripetal acceleration in real-time. The filter processes the accelerometer signals, compares them with expected gravitational acceleration patterns, and adjusts the estimates of radial offset and bias to minimize measurement errors, thereby improving the reliability of directional parameter estimation

Inventive Principle:
Principle #23Feedback

Solution Approach 2:

The invention changes the parameters being measured by not only measuring acceleration but also estimating derived parameters such as radial offset, centripetal acceleration, and accelerometer bias. The extended Kalman filter dynamically adjusts these parameter estimates based on the accelerometer data, transforming raw acceleration measurements into corrected directional information that compensates for manufacturing variations

Inventive Principle:
Principle #35Parameter changes

2Measurement precision

If radial offsets and centripetal acceleration are accurately measured, then accelerometer signal correction improves, but additional sensors and pre-calibration are required

Engineering Contradiction:
Improveaccelerometer signal correction accuracyVSAvoidsensor configuration and calibration complexity
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The system applies self-service by using the existing accelerometer data to estimate its own radial offset and bias parameters without requiring external calibration equipment or additional sensors. The extended Kalman filter processes the accelerometer outputs to self-determine the radial offset and centripetal acceleration, and uses these estimates to correct the accelerometer signals, making the system self-calibrating and reducing overall complexity

Inventive Principle:
Principle #25Self-service

Solution Approach 2:

The invention extracts the radial offset and centripetal acceleration information from the accelerometer signals themselves, rather than requiring separate measurement systems. By analyzing the patterns in the accelerometer data during rotation, the system extracts these parameters and uses them for correction, eliminating the need for additional sensors while maintaining measurement precision

Inventive Principle:
Principle #2Taking out (Extraction)

3Measurement precision

If RPM information is used for correction, then centripetal acceleration can be calculated, but the system requires additional sensor inputs

Engineering Contradiction:
Improvecentripetal acceleration calculation accuracyVSAvoiddata input requirements
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The system replaces the mechanical requirement for RPM sensors with a computational approach. Instead of using physical RPM sensors to measure rotational speed, the extended Kalman filter computationally estimates the centripetal acceleration directly from the accelerometer data patterns, substituting mechanical measurement with signal processing and mathematical estimation

Inventive Principle:
Principle #28Mechanics substitution (Replace mechanical system)

Applied Scientific Principles

This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.

Function Achieved in This Case

This approach enhances the accuracy of wellbore directional parameter estimation, reducing errors and improving drilling efficiency by mitigating centripetal acceleration effects without the need for pre-calibration or additional sensors, and allows for on-the-fly estimation of radial offsets and centripetal acceleration.

Implementation Method 1

two-dimensional accelerometer data with an accelerometer on a rotating downhole tool

Methodology Applied
Scientific EffectGravitation: Gravitation

Implementation Method 2

determining a centripetal acceleration of the accelerometer based on the two-dimensional accelerometer data

Methodology Applied
Scientific EffectCentripetal acceleration: Centrifugal Force

Data Source

PatentUS11255179B2Accelerometer systems and methods for rotating downhole tools
Publication Date: 2022.02.22 HALLIBURTON ENERGY SERVICES INC
  • US11255179B2 patent drawing
  • US11255179B2 patent drawing
  • US11255179B2 patent drawing

AI summary

A method may comprise obtaining, during drilling operations within a wellbore, two-dimensional accelerometer data with an accelerometer on a rotating downhole tool, determining a radial offset of the accelerometer based on the two-dimensional accelerometer data, and determining a centripetal acceleration of the accelerometer based on the two-dimensional accelerometer data. A system may comprise one or more x-axis accelerometers disposed on a bottom hole assembly, one or more y-axis accelerometers disposed on the bottom hole assembly, an analog to digital converter, wherein the analog to digital converter converts an analog signal from the one or more x-axis accelerometers and the one or more y-axis accelerometers to a digital signal, and a computing subsystem.