Density Inversion Method Using Gravity Anomalies and Layer Segmentation
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Solution Overview
Problem
Current density inversion methods in geophysical exploration face inaccuracies due to the underdetermined problem of inverting two-dimensional measurement points to obtain three-dimensional density distributions, leading to inaccurate density distribution results.
Innovation Solution
A density inversion method that acquires local gravity anomalies and determines a target inversion depth based on distance and specified depth, using a preset layer density inversion formula to obtain a density distribution in a transverse cross-section, which transforms the density inversion formula for constant density in a longitudinal cross-section, allowing for a definite solution by considering only density changes in the transverse cross-section.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If volume inversion is performed based on two-dimensional measurement points to obtain three-dimensional density distribution, then the density distribution can be obtained, but the measurement precision deteriorates due to the underdetermined problem
Solution Approach 1:
The patent segments the three-dimensional inversion problem into multiple two-dimensional cross-sectional inversion problems. By dividing the target body into multiple layers at different depths and performing inversion on each layer separately using two-dimensional measurement data, the method transforms an underdetermined 3D problem into a series of determined 2D problems, thereby improving measurement precision without excessive complexity
Solution Approach 2:
The patent introduces a depth dimension parameter to transform the two-dimensional measurement data into three-dimensional density distribution. By adding the depth parameter to the inversion process and using the relationship between measurement points and target body depth, the method achieves 3D reconstruction from 2D data while maintaining mathematical determinability
2Measurement precision
If layer density inversion formula is used assuming constant density in longitudinal cross-section, then the density distribution accuracy improves, but the adaptability deteriorates due to the constant density assumption
Solution Approach 1:
The patent segments the target body into multiple horizontal layers at different depth ranges. Each layer is assumed to have constant density in the longitudinal direction, but different layers can have different density values. This segmentation allows the method to maintain mathematical simplicity while adapting to overall density variations through the stacking of multiple layers with different density characteristics
Solution Approach 2:
The patent applies the constant density assumption partially - only within each individual layer in the longitudinal direction, rather than across the entire target body. This partial application of the assumption maintains accuracy within each layer while allowing density variations between layers, thus balancing precision and adaptability
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 improves the accuracy of density distribution by ensuring density does not change with depth near the inversion depth, providing a precise solution for density inversion.
Implementation Method 1
gravity data at each measurement point in a measurement area set up for the target body is measured by a gravity measurement device
Data Source
AI summary
A density inversion method comprises acquiring local gravity anomalies of a target body to be measured at many measurement points within a target measurement area; acquiring information of distance between a center position of an area the target body being located and a specified boundary of the target measurement area; determining a target inversion depth to be used in density inversion for the target body based on the information of distance and the specified depth; and substituting the local gravity anomaly of the target body at each measurement point and the target inversion depth into a preset layer density inversion formula which is a transform formula of a density inversion formula in the case of a constant density in a longitudinal cross-section, to obtain a density distribution of the target body in a transverse cross-section. The accuracy of the density distribution obtained through the density inversion can be improved.