One Row Wavelet Sensor Electrode Layout for Resistivity Imaging
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Solution Overview
Problem
Existing resistivity imaging technologies in wellbores suffer from aliasing issues due to the shape of sensor electrodes, leading to distorted images and ambiguity in data interpretation, particularly in thinly laminated turbidite sands and other sequences.
Innovation Solution
Designing sensor electrodes with specific geometries, such as one-row wavelet shapes, to reduce spatial aliasing by optimizing their geometry and response functions, and using a computer program to adjust these geometries for improved performance.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If rectangular sensor electrodes are used in an array, then the instrument can make resistivity measurements, but spatial aliasing occurs causing data distortion and ambiguity
Solution Approach 1:
The patent applies parameter changes by modifying the geometric parameters of sensor electrodes from rectangular to one-row wavelet shapes. This geometric transformation changes the spatial sampling pattern and response function characteristics, thereby reducing spatial aliasing effects while maintaining resistivity measurement capability. The wavelet geometry with its varying width creates a different spatial frequency response that mitigates the aliasing problem inherent in regular rectangular arrays.
2Productivity
If multiple sensor electrodes are arranged in arrays to achieve high resolution images, then sampling rate increases, but aliasing effects become more pronounced due to the gaps between electrodes
Solution Approach 1:
The patent employs dimensionality change by transitioning from two-dimensional rectangular electrode arrays to one-dimensional wavelet-shaped electrode rows. This dimensional simplification allows for optimized spacing and overlapping response functions that reduce aliasing. The one-row wavelet configuration creates continuous spatial coverage through the varying electrode widths, effectively eliminating the gaps that cause aliasing in traditional 2D arrays while maintaining high-resolution imaging capability.
3Ease of manufacture
If rectangular sensor electrodes with gaps between them are used, then manufacturing is simplified, but no data is collected in the gap areas leading to aliasing
Solution Approach 1:
The patent uses parameter changes by modifying the geometric parameters of individual electrodes within the array. The one-row wavelet shape with its varying width parameter allows adjacent electrodes to have overlapping response functions that fill the gaps between them. This geometric parameter optimization enables continuous spatial sampling without requiring complex manufacturing, as each electrode's extended response naturally covers the gaps to adjacent electrodes.
Data Source
AI summary
A sensor electrode for imaging a formation. The sensor includes a geometry either reduces or substantially limits spatial aliasing in formation data. The aliasing is the result of imaging the formation with an array of the sensor electrodes.