Symmetrized Angle Calculation for Wellbore Boundary Orientation
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Solution Overview
Problem
Existing electromagnetic induction well logging techniques face challenges in accurately determining the orientation of electrical resistivity boundaries, particularly when individual angles from real and imaginary components have opposite signs, leading to erratic responses.
Innovation Solution
A method is introduced that uses symmetrized and anti-symmetrized angle calculations based on cross-coupled component measurements to determine the relative orientation of electrical boundaries with respect to the well logging instrument, employing multi-axial electromagnetic transmitters and receivers to process measurements and display or store the relative orientation.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of operation
If individual angles from real and imaginary components are used to determine boundary orientation, then the measurement process is simple, but the response becomes erratic when angles have opposite signs
Solution Approach 1:
The patent combines the individual angles from real and imaginary components using symmetrized angle calculations to create a unified boundary orientation parameter. This merging approach integrates multiple measurement components into a single stable orientation indicator that eliminates the erratic behavior caused by opposite signs in individual components.
Solution Approach 2:
The patent transforms the individual angle parameters into symmetrized and anti-symmetrized angle parameters through mathematical operations. This parameter transformation changes the characteristic from being sensitive to sign variations to being stable and consistent, thereby resolving the reliability issue while maintaining operational simplicity.
2Ease of operation
If conventional electromagnetic induction measurements are used, then the measurement process is straightforward, but the accuracy of boundary orientation determination deteriorates in complex formations with cross-bedding and anisotropy
Solution Approach 1:
The patent segments the electromagnetic measurements into symmetrized and anti-symmetrized components, allowing separate analysis of boundary orientation and anisotropy effects. This segmentation enables accurate determination of boundary orientation by isolating it from the confounding effects of formation anisotropy and cross-bedding.
Solution Approach 2:
The patent utilizes anti-symmetrized angle measurements to specifically detect and characterize anisotropy effects in complex formations. By creating asymmetric measurement components, the method can distinguish between boundary orientation signals and anisotropy signals, thereby improving measurement precision in formations with cross-bedding and anisotropy.
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 stabilizes the determination of boundary orientation, reducing noise effects and enhancing the accuracy of electrical resistivity boundary orientation, even in complex formations with cross-bedding and anisotropy, by utilizing symmetrized angles for boundary orientation and anti-symmetrized angles for anisotropy orientation.
Implementation Method 1
one or more multi-axial electromagnetic transmitters T disposed on the instrument 10, and have one or more multi-axial electromagnetic receivers
Data Source
AI summary
A method for determining orientation of an electrical resistivity boundary in a wellbore includes using measurements of an electromagnetic property of formations traversed by the wellbore at at least one axial spacing between a multiaxial electromagnetic transmitter and a multiaxial electromagnetic receiver, and determining a symmetrized angle using measurements of the electromagnetic property made using receiver components transverse to a well logging instrument axis and a transmitter component along the axis. At least a relative orientation of the electrical boundary with respect to an orientation of the well logging instrument is determined using the symmetrized angle.