Ellipsoid Fitting for Fault Detection Accuracy
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Solution Overview
Problem
Current methods for quantitative description of fissures in solid objects are limited by the accuracy and range of detection, particularly in three-dimensional characterization, and are unsuitable for dynamic detection, with existing ellipsoid-based methods being complex and impractical for in-situ applications.
Innovation Solution
A static method for geometric characterization of faults/fissures and a dynamic method for physical characterization of the hypocenter using a fissure ellipsoid, where spatial coordinate data is collected and used to construct a fundamental elliptic equation to accurately describe geometric and physical characteristics, and a system comprising coordinate collecting components and a processor to perform ellipsoid fitting and assess fitting quality.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If X-ray computed tomography or elastic-wave computed tomography is used to detect fissures, then detection accuracy is improved, but the detection process becomes too slow for dynamic detection
Solution Approach 1:
The patent replaces the mechanical scanning process of traditional CT systems with a mathematical ellipsoid fitting method. Instead of physically scanning the object with X-rays or elastic waves, the system collects spatial coordinate data of fissures and uses computational geometry to fit ellipsoids, achieving both high accuracy and real-time processing capability.
2Loss of information
If existing ellipsoid-based methods are used to characterize fissures, then three-dimensional description is achieved, but the method becomes too complex for practical application
Solution Approach 1:
The patent extracts only the essential geometric parameters needed for fissure characterization from complex CT data. By focusing on collecting spatial coordinate data of fissure boundaries and fitting simple ellipsoids, the method retains three-dimensional characterization capability while eliminating unnecessary computational complexity.
Solution Approach 2:
The patent transforms complex fissure geometry data into simplified ellipsoid parameters (center coordinates, semi-axes lengths, orientation angles). This parameter transformation maintains the essential three-dimensional information while making the data suitable for practical engineering applications.
3Productivity
If high-speed particle accelerator CT is used, then dynamic detection capability is improved, but the equipment becomes too bulky for in-situ implementation
Solution Approach 1:
The patent replaces the bulky particle accelerator hardware with a computational method that can be implemented using standard computing equipment. The ellipsoid fitting algorithm processes fissure coordinate data mathematically, eliminating the need for large-scale physical infrastructure while maintaining dynamic detection capability.
Data Source
AI summary
A method for quantitative description of a fault/fissure and a detection system thereof are provided, involving static and dynamic method and system for quantitative description. The present static method for quantitative description includes: according to spatial coordinate data of the fault/fissure, constructing a fissure ellipsoid that covers a spatial distribution scope of the fault/fissure; and characterizing the fault/fissure according to spatial geometric parameters of the fissure ellipsoid. And the present dynamic method for quantitative description includes: according to waveform parameters of elastic waves generated during rupture process, constructing a three-dimensional hypocenter ellipsoid that covers spatial radiation; and according to spatial geometric parameters of the ellipsoid, determining a hypocenter location, an energy level, and/or orientation of the fissure. The present application is more intuitive and simpler in quantitatively describing static geometric characteristics of the fissure and dynamic physical characteristics of the hypocenter.