Hybrid Earth Formation Crushing Model for Drill Bit Cutter
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Solution Overview
Problem
Current models for predicting cutting forces and rock failure in Earth drill bits primarily rely on empirical methods, which are inadequate for accurately modeling the interaction between drill bit cutters and Earth formations, especially for varying rock strengths and cutting conditions.
Innovation Solution
A hybrid model that combines empirical stress determinations in one axis with analytical functions in the remaining two axes, based on first principle relationships, to predict cutting forces and rock failure modes, incorporating stress distribution, rock properties, and cutter geometry.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If empirical methods are used to predict cutting forces and rock failure, then the model is simple to implement, but the prediction accuracy is insufficient for varying rock strengths and cutting conditions
Solution Approach 1:
The patent merges empirical methods with analytical first-principle-based methods to create a hybrid model. The empirical portion handles general rock failure prediction while the analytical portion specifically addresses stress distribution and cutter-rock interaction mechanics, combining strengths of both approaches to improve prediction accuracy without excessive complexity
Solution Approach 2:
The patent introduces stress distribution parameters and rock property parameters into the model framework. By varying these parameters based on specific rock formations and cutter conditions, the model adapts to different cutting scenarios while maintaining a structured analytical foundation that prevents complete empirical reliance
2Measurement precision
If a hybrid model combining empirical and analytical methods is used, then the prediction accuracy improves, but the model complexity increases
Solution Approach 1:
The hybrid model is segmented into distinct functional components: an empirical stress determination component and an analytical stress distribution component. Each segment handles specific aspects of the cutting process, allowing the complex prediction task to be divided into manageable parts that can be computed separately and combined
Solution Approach 2:
The patent applies different modeling approaches to different spatial and functional aspects of the cutting process. Empirical relationships are used for overall rock failure characterization while analytical relationships are applied locally to stress distribution at the cutter-rock interface, matching each method to its most appropriate application domain
Data Source
AI summary
A method includes receiving, at a computer, an Earth formation characteristic and a cutter characteristic of a cutter of an Earth drill bit and determining, with the computer, a cutting characteristic at an interface between the Earth formation and the cutter based on the Earth formation characteristic and the cutter characteristic using an Earth formation crushing model operating on the computer. The Earth formation crushing model includes an empirical determination of stress at the interface in a first of three mutually perpendicular axes and determinations of stress in the remaining two mutually perpendicular axes that are mathematical functions based on the empirical determination of stress. The method also includes outputting the determined cutting characteristic.