3D Geophysical Imaging via Kriging Interpolation

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Solution Overview

Problem

Current geophysical prospecting methods primarily produce two-dimensional profiles, which are insufficient for accurately representing complex underground structures, and cannot be easily integrated into a three-dimensional model for intuitive visualization and analysis.

Innovation Solution

A three-dimensional imaging method and system that converts two-dimensional resistivity profile data from surface comprehensive geophysical prospecting into a three-dimensional space coordinate system using a Kriging interpolation method, allowing for the creation of a three-dimensional resistivity profile model.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Loss of information

If multiple two-dimensional profiles are obtained through surface detection, then the detection data coverage is improved, but the data complexity and difficulty in establishing a three-dimensional model increases

Engineering Contradiction:
Improveinformation completeness of underground structureVSAvoidcomplexity of data processing system
Core Design Contradiction:
Loss of informationVSDevice complexity

Solution Approach 1:

The patent applies dimensionality change by transforming two-dimensional profile data from multiple measuring lines into a three-dimensional coordinate system. The coordinate conversion module transforms coordinates (x, y, z) from different two-dimensional profiles into a unified three-dimensional space, enabling comprehensive underground structure representation while managing data complexity through systematic coordinate transformation.

Inventive Principle:
Principle #17Another dimension (Dimensionality change)

Solution Approach 2:

The patent merges multiple two-dimensional profile datasets into a single three-dimensional model. The Kriging interpolation method combines resistivity data from numerous two-dimensional profiles, integrating scattered measurements into a cohesive three-dimensional resistivity distribution that represents the complete underground structure.

Inventive Principle:
Principle #5Merging (Combining)

2Ease of manufacture

If two-dimensional profiles are used for detection, then the detection method is simple and widely applicable, but the representation of complex underground structures is insufficient

Engineering Contradiction:
Improveease of detection method implementationVSAvoidaccuracy of underground structure representation
Core Design Contradiction:
Ease of manufactureVSManufacturing precision

Solution Approach 1:

The patent transitions from two-dimensional to three-dimensional representation through coordinate conversion. By transforming data from multiple two-dimensional profiles into a three-dimensional coordinate system and applying Kriging interpolation, the system achieves accurate three-dimensional modeling while maintaining the simplicity of surface-based detection methods.

Inventive Principle:
Principle #17Another dimension (Dimensionality change)

3Area of stationary object

If the number of measuring lines is increased to improve detection coverage, then the detection comprehensiveness is improved, but the complexity of two-dimensional profiles and data processing increases

Engineering Contradiction:
Improvedetection coverage areaVSAvoidcomplexity of profile data
Core Design Contradiction:
Area of stationary objectVSDevice complexity

Solution Approach 1:

The patent merges data from multiple measuring lines covering different areas into a unified three-dimensional model. The Kriging interpolation method integrates resistivity data from numerous profiles, reducing the complexity of handling multiple separate two-dimensional datasets by combining them into a single three-dimensional representation.

Inventive Principle:
Principle #5Merging (Combining)

Solution Approach 2:

The patent uses dimensionality change to manage the complexity of extensive measurement data. By converting data from multiple two-dimensional profiles into a three-dimensional coordinate system, the system efficiently organizes and processes large volumes of detection data from numerous measuring lines.

Inventive Principle:
Principle #17Another dimension (Dimensionality change)

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 method enables the integration of multiple two-dimensional profiles into a coherent three-dimensional model, providing a more intuitive and visualized representation of underground structures, facilitating better analysis and interpretation of geophysical data.

Implementation Method 1

converting the resistivity data of the three-dimensional coordinate system into a three-dimensional model by using a Kriging interpolation method

Methodology Applied
Scientific EffectKriging interpolation:

Data Source

PatentUS12287449B2Three-dimensional imaging method and system for surface comprehensive geophysical prospecting
Publication Date: 2025.04.29 SHANDONG UNIV
  • US12287449B2 patent drawing
  • US12287449B2 patent drawing
  • US12287449B2 patent drawing

AI summary

A three-dimensional imaging method and system for surface comprehensive geophysical prospecting, the method includes: acquiring detection data of a plurality of two-dimensional profiles of a surface detection site; forming two-dimensional profile resistivity data by geophysical inversion of the detection data; performing three-dimensional coordinate conversion on the two-dimensional profile resistivity data to obtain resistivity data of a three-dimensional coordinate system; and converting the resistivity data of the three-dimensional coordinate system into a three-dimensional model by using a Kriging interpolation method.