Borehole Shape Estimation Using Adaptive Geometric Fitting
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Solution Overview
Problem
Conventional methods for estimating borehole shape using downhole measurements are inaccurate when data points are clustered and not well-distributed azimuthally, leading to poor fits with geometric shapes like ellipses or circles.
Innovation Solution
A software algorithm that processes standoff and azimuthal data points to determine the suitability of fitting an ellipse or circle by applying specific criteria based on point-to-point and intervening angles, selecting the appropriate geometric shape to minimize inaccuracies.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If a geometric shape (ellipse or circle) is fitted to clustered standoff data points, then a borehole shape estimation is obtained, but the estimation accuracy deteriorates due to poor azimuthal distribution
Solution Approach 1:
The patent applies preliminary actions by evaluating data point distribution characteristics (azimuthal spread, clustering patterns) before performing the geometric shape fitting. This preliminary assessment allows the system to determine whether the data is suitable for ellipse fitting or requires alternative approaches, thereby preventing inaccurate estimations from clustered data points
Solution Approach 2:
The patent changes parameters by adjusting the fitting methodology based on data characteristics. When data points are azimuthally well-distributed, ellipse parameters are calculated; when data is clustered, the system modifies its approach by evaluating different geometric models or applying corrections, thus adapting the fitting parameters to match the actual data distribution quality
2Productivity
If an ellipse is fitted to clustered data points, then a borehole shape estimate is produced, but elongation errors increase
Solution Approach 1:
The patent implements feedback by continuously evaluating the quality metrics of the fitted ellipse (such as azimuthal distribution uniformity, residual errors, and geometric consistency) and using this feedback to determine whether the ellipse fitting is appropriate or if alternative shapes should be considered, thereby reducing elongation errors in clustered data scenarios
Solution Approach 2:
The patent applies dynamics by making the fitting process adaptive rather than static. The system dynamically selects between different geometric models (ellipse, circle, or other shapes) based on real-time assessment of data distribution characteristics, allowing the methodology to respond to varying data quality conditions and minimize elongation errors
Data Source
AI summary
Method and system of estimating a shape of a borehole include receiving data points associated with a standoff measurement for the borehole, wherein each data point includes a radial distance value and an azimuthal value corresponding to the radial distance value. The method and system determine point-to-point angles for the data points based on at least the azimuthal value associated with each data point, wherein each point-to-point angle spans between two adjacent data points. The method and system select a geometric shape from a plurality of geometric shapes to fit to the data points based on the point-to-point angles, the plurality of geometric shapes including a circle and an ellipse. A shape of the borehole is estimated at a location of the standoff measurement based on the selected geometric shape.