Downhole Vibration Frequency Analysis for HFTO Aliasing Detection

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Solution Overview

Problem

Existing drilling systems face challenges in accurately identifying and mitigating high-frequency torsional oscillations (HFTO) due to aliasing issues in vibrational data, leading to potential failures and increased drilling time and costs.

Innovation Solution

A method for analyzing time-series vibration data using Fast-Fourier Transform (FFT) to convert data into frequency domain, distinguishing between non-aliased and aliased harmonic frequencies, and employing multiple sampling frequencies to invert aliasing, enabling precise identification of vibrational resonance frequencies and predict potential failures.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If conventional single-frequency sampling is used for vibration analysis, then the measurement process is simple, but aliasing occurs that corrupts the vibrational data and prevents accurate identification of HFTO

Engineering Contradiction:
Improveaccuracy of vibrational frequency identificationVSAvoidcomplexity of sampling and analysis system
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The patent segments the frequency analysis into multiple discrete sampling frequencies. Instead of using a single sampling rate, the system collects vibration data at multiple different sampling frequencies (e.g., first sampling frequency, second sampling frequency, etc.), allowing the analysis to distinguish between aliased and non-aliased harmonic frequencies by comparing results across different sampling rates.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The patent changes the sampling frequency parameter to resolve aliasing. By varying the sampling frequency across multiple measurements and analyzing how harmonic frequencies appear differently at each sampling rate, the system can identify the true fundamental frequency of HFTO. The relationship between sampling frequency and observed harmonic frequencies provides the basis for inverting the aliasing effect.

Inventive Principle:
Principle #35Parameter changes

2Measurement precision

If multiple sampling frequencies are used to invert aliasing, then accurate identification of HFTO is achieved, but the complexity of data processing increases

Engineering Contradiction:
Improveresolution of frequency analysisVSAvoidcomplexity of frequency analysis process
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The patent employs feedback through iterative comparison of frequency spectra obtained at different sampling rates. The system analyzes the relationship between harmonics observed at each sampling frequency and uses this feedback to identify the fundamental frequency. The process continuously refines the identification by comparing expected harmonic patterns against actual measurements across multiple sampling frequencies.

Inventive Principle:
Principle #23Feedback

Solution Approach 2:

The patent adds the dimension of multiple sampling frequencies to the frequency analysis. Instead of analyzing vibration data at a single sampling rate, the system introduces a second dimension of analysis by comparing frequency spectra across different sampling frequencies. This dimensional expansion allows the system to disambiguate aliased frequencies that would be indistinguishable in a single-sampling analysis.

Inventive Principle:
Principle #17Another dimension (Dimensionality change)

3Reliability

If aliasing is ignored or filtered out, then the analysis process remains simple, but valuable information about HFTO is lost leading to undetected defects

Engineering Contradiction:
Improvedetection capability of drilling system defectsVSAvoiddifficulty of distinguishing aliased from non-aliased frequencies
Core Design Contradiction:
ReliabilityVSDifficulty of detecting and measuring

Solution Approach 1:

The patent performs preliminary action by collecting vibration data at multiple sampling frequencies before attempting to identify the fundamental frequency. This preliminary multi-frequency sampling ensures that even if aliasing occurs at one sampling rate, the true frequency information is preserved in the data collected at other sampling rates, allowing subsequent identification of HFTO and its harmonics.

Inventive Principle:
Principle #10Preliminary action

Solution Approach 2:

The patent converts the harmful effect of aliasing into a beneficial diagnostic tool. Instead of treating aliased frequencies as noise to be filtered out, the system uses the characteristic patterns of aliased harmonics across different sampling frequencies to identify the fundamental frequency. The aliasing effect itself provides information that, when analyzed across multiple sampling rates, reveals the true HFTO frequency and helps detect defects.

Inventive Principle:
Principle #22Blessing in disguise (Convert harm into benefit)

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

Enhances the resolution of frequency analysis, allowing real-time detection and prediction of drilling system defects, reducing unplanned trips and operational costs by accurately identifying HFTO and other unwanted conditions.

Implementation Method 1

The time-series vibration data is converted to frequency domain vibration data. This may be achieved, for instance, by using a Fast-Fourier transform (FFT).

Methodology Applied
Scientific EffectFast-Fourier Transform:

Data Source

PatentUS12571296B2Frequency analysis of time-series vibrational data
Publication Date: 2026.03.10 SCHLUMBERGER TECH CORP
  • US12571296B2 patent drawing
  • US12571296B2 patent drawing
  • US12571296B2 patent drawing

AI summary

Method and systems are described that obtain or collect time-series vibration data related to operation of a downhole drilling system and convert the time-series vibration data to frequency domain vibration data. The frequency domain vibration data can be evaluated to determine one or more vibrational resonance frequencies as well as corresponding non-aliased harmonic frequencies (if and when present) and aliased harmonic frequencies (if and when present) in the frequency domain vibration data. Change in the one or more vibrational resonance frequencies in the frequency domain vibration data over time can be monitored during the drilling operations to detect or predict the occurrence of a defect or failure or other unwanted conditions (e.g. HFTO) in the drilling system. A health alert can be generated in response to the detection or prediction of the occurrence of a defect or failure or other unwanted condition in the drilling system.