Dipole Modeling for Electric and Magnetic Fields

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Solution Overview

Problem

Existing electromagnetic induction tools used in well operations require extensive time to process large amounts of data for determining formation resistivity, water fronts, and target well locations, due to the complexity of computing electric and magnetic fields.

Innovation Solution

Implementing an equivalent multi-dipole model that simplifies the processing of electromagnetic field patterns by representing the electromagnetic antenna, mandrel, and wellbore effects with a combination of point dipoles, allowing for faster computation and inversion of field data using analytical formulas.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If full electromagnetic field computation is used to process field patterns, then measurement precision is improved, but processing time increases significantly

Engineering Contradiction:
Improvefield pattern representation accuracyVSAvoiddata processing time
Core Design Contradiction:
Measurement precisionVSLoss of time

Solution Approach 1:

The electromagnetic antenna system is segmented into multiple discrete dipole elements. Each dipole is positioned at specific locations along the antenna structure, allowing the complex field computation to be broken down into simpler individual dipole contributions that can be processed more efficiently while maintaining overall field pattern accuracy.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The continuous electromagnetic field computation is transformed into a discrete parameter-based model using dipole moments and positions. By changing from a continuous field solution to a discrete dipole array representation, the computational complexity is reduced while preserving the essential field characteristics needed for accurate measurement.

Inventive Principle:
Principle #35Parameter changes

2Measurement precision

If detailed electromagnetic field modeling is performed, then formation property determination accuracy is improved, but device complexity increases

Engineering Contradiction:
Improveformation resistivity measurement accuracyVSAvoidcomputation model complexity
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

Instead of directly computing the complex electromagnetic fields from first principles, the patent uses an equivalent dipole array model that copies or replicates the essential field characteristics. This simplified model serves as a computational proxy that maintains measurement accuracy while reducing the complexity of the inversion process.

Inventive Principle:
Principle #26Copying

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 significantly reduces processing time, enabling efficient determination of target well locations and formation properties, while maintaining accuracy in field pattern representation.

Implementation Method 1

An alternating current having at least one frequency may be conducted through the electromagnetic source(s). The alternating current may induce eddy current to flow within the surrounding subterranean formations and/or in adjacent well casings.

Methodology Applied
Scientific EffectElectromagnetic induction: Electromagnetic Induction

Implementation Method 2

This eddy current in turn may induce voltages in electromagnetic antenna(s).

Methodology Applied
Scientific EffectElectromagnetic induction: Electromagnetic Induction

Data Source

PatentUS11022713B2Dipole modeling for electric and/or magnetic fields
Publication Date: 2021.06.01 HALLIBURTON ENERGY SERVICES INC
  • US11022713B2 patent drawing
  • US11022713B2 patent drawing
  • US11022713B2 patent drawing

AI summary

A method for dipole modeling may comprise providing an electromagnetic induction tool comprising an electromagnetic antenna, disposing the electromagnetic induction tool in a wellbore, and activating the electromagnetic antenna. The method may further comprise producing a dipole array equivalent of the electromagnetic antenna, where the dipole array equivalent comprises at least two dipoles. Additionally, the method may comprise implementing the dipole array equivalent in a forward model within an inversion process, wherein the inversion process determines an electromagnetic property.