Quadrature Demodulation for Resistivity Logging

Resolve Bottlenecks,
Find Innovative Solutions
Generate Solutions

Solution Overview

Problem

Current resistivity logging methods require high resolution measurements of amplitude and phase to accurately estimate formation resistivity, especially when using Oil Based Mud, which is inefficient and power-intensive.

Innovation Solution

The method involves introducing an electrical signal, sensing the current, and using quadrature demodulation to produce an in-phase demodulated signal, extracting a low frequency portion, and converting it into a digital measurement, reducing the need for high resolution and power consumption, with options including burst mode operation and specific demodulation techniques like Hadamard coherent demodulation.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If direct measurement of amplitude and phase is used to calculate formation resistivity, then measurement accuracy is improved, but measurement precision requirements and power consumption increase

Engineering Contradiction:
Improveformation resistivity estimation accuracyVSAvoidresolution requirements
Core Design Contradiction:
Measurement precisionVSQuantity of substance

Solution Approach 1:

The patent introduces an intermediary processing stage (quadrature demodulation) between the raw impedance measurement and the final resistivity calculation. This demodulation process extracts the in-phase component as an intermediate variable that linearly relates to formation resistivity, avoiding the need for high-resolution direct phase and amplitude measurements while maintaining measurement accuracy

Inventive Principle:
Principle #24Intermediary (Mediator)

2Reliability

If high frequency driving source is used to excite the formation through Oil Based Mud standoff, then formation resistivity can be measured, but power dissipation increases

Engineering Contradiction:
Improvemeasurement capability in OBMVSAvoidpower dissipation
Core Design Contradiction:
ReliabilityVSLoss of energy

Solution Approach 1:

The patent employs periodic excitation signals (sinusoidal or square waves at frequencies like 10 MHz, 100 MHz, or 1 GHz) to drive the formation through the OBM standoff. This periodic action enables efficient signal transmission through the capacitive standoff while allowing for demodulation-based detection that reduces continuous power requirements compared to direct measurement methods

Inventive Principle:
Principle #19Periodic action

3Measurement precision

If direct impedance measurement method is used, then formation resistivity can be estimated, but device complexity and resolution requirements increase

Engineering Contradiction:
Improveresistivity measurement accuracyVSAvoidmeasurement system complexity
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The patent replaces the complex direct measurement system (requiring high-resolution amplitude and phase detectors) with a demodulation-based system. The quadrature demodulator converts the high-frequency impedance measurement into a baseband in-phase signal that linearly represents formation resistivity, simplifying the overall measurement system while maintaining or improving accuracy

Inventive Principle:
Principle #28Mechanics substitution (Replace mechanical system)

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 allows for accurate estimation of formation resistivity with reduced power dissipation and resolution requirements, improving the efficiency and accuracy of resistivity logging.

Implementation Method 1

comparing the introduced electrical signal with the formation measured signal in a quadrature demodulation device, whereby an in-phase demodulated signal is produced

Methodology Applied
Scientific EffectQuadrature demodulation: Homodyne Detection

Data Source

PatentUS7855560B2Analog front-end coherent in-phase demodulation data acquisition system for resistivity image tools
Publication Date: 2010.12.21 BAKER HUGHES CO
  • US7855560B2 patent drawing
  • US7855560B2 patent drawing
  • US7855560B2 patent drawing

AI summary

A method and system for measuring formation resisitivity is achieved by introducing an electrical signal into the formation. The current of the introduced electrical signal is then sensed, producing an analog voltage signal as a measurement of the formation. The introduced electrical signal is compared with the measured signal of the formation. The comparison is made in a quadrature demodulation device, producing an in-phase demodulated signal. A quasi-direct-current signal is extracted from the in-phase demodulated signal, producing an analog measurement related to the resistivity of the formation.