Displaced Electrode Amplifier for Common-Mode Resistivity Imaging

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Solution Overview

Problem

Existing micro-resistivity tools face challenges in accurately measuring borehole wall resistivity in oil-based mud environments due to common mode voltage sensitivity, limitations in circuitry, and interactions with the mudcake layer, leading to measurement errors.

Innovation Solution

A displaced electrode amplifier (DEA) circuit with input buffers and feedback configurations is used to increase input resistance and reduce sensitivity to common mode voltage, featuring tuning resistors for improved common mode rejection and parasitic element compensation.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If a differential amplifier is used to measure voltage drop in the formation, then measurement capability is provided, but sensitivity to common mode voltage signals causes measurement errors

Engineering Contradiction:
Improvevoltage measurement accuracyVSAvoidcommon mode voltage sensitivity
Core Design Contradiction:
Measurement precisionVSObject-affected harmful factors

Solution Approach 1:

A buffer circuit is introduced as an intermediary between the voltage electrodes and the differential amplifier. This buffer circuit isolates the amplifier from common mode voltage signals while preserving the differential voltage measurement capability, effectively mediating between the measurement requirement and the common mode rejection need.

Inventive Principle:
Principle #24Intermediary (Mediator)

Solution Approach 2:

The buffer circuit maintains equipotential conditions at its input terminals by high-impedance coupling to the voltage electrodes. This equipotential approach ensures that common mode voltage signals appear equally at both buffer inputs and are rejected by the subsequent differential amplifier, while the differential voltage signal is preserved.

Inventive Principle:
Principle #12Equipotentiality

2Object-affected harmful factors

If high-impedance isolation is provided for the amplifier, then common mode voltage rejection is improved, but residual sensitivity remains too high for accurate measurements

Engineering Contradiction:
Improvecommon mode voltage rejectionVSAvoidmeasurement accuracy in oil-based mud
Core Design Contradiction:
Object-affected harmful factorsVSMeasurement precision

Solution Approach 1:

The buffer circuit employs feedback mechanisms to actively compensate for residual common mode voltage sensitivity. By monitoring the output and adjusting the input buffering accordingly, the system achieves the high level of common mode rejection required for accurate measurements in oil-based mud environments while maintaining measurement precision.

Inventive Principle:
Principle #23Feedback

Solution Approach 2:

The circuit parameters (impedances, gains, time constants) of the buffer and amplifier stages are carefully adjusted and optimized to achieve the desired performance. By changing these parameters, the system transitions from having residual sensitivity to achieving the required common mode rejection ratio for accurate resistivity imaging in challenging mud environments.

Inventive Principle:
Principle #35Parameter changes

3Object-affected harmful factors

If voltage and current electrodes are separated, then oil-based mud effect is eliminated, but circuit complexity and measurement challenges increase

Engineering Contradiction:
Improveoil-based mud interferenceVSAvoidamplifier circuit complexity
Core Design Contradiction:
Object-affected harmful factorsVSDevice complexity

Solution Approach 1:

The electrode system is segmented into separate voltage electrodes and current electrodes, physically isolating the measurement function from the excitation function. This segmentation eliminates oil-based mud interference by preventing current injection paths from affecting voltage measurements. The resulting measurement circuit is then managed through modular buffer and amplifier stages that handle the complexity systematically.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

Buffer circuits serve as intermediary stages between the separated voltage electrodes and the differential amplifier. These intermediaries simplify the overall circuit architecture by providing high-impedance inputs that directly couple to the voltage electrodes while isolating the amplifier from direct electrode connections, thereby reducing circuit complexity despite electrode separation.

Inventive Principle:
Principle #24Intermediary (Mediator)

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

The DEA significantly enhances measurement accuracy by minimizing the impact of common mode signals and parasitic elements, allowing for precise resistivity imaging in boreholes with oil-based muds.

Implementation Method 1

The amplifier circuit includes input buffers having feedback to compensate for parasitic elements inherent in the measurement circuitry

Methodology Applied
Scientific EffectFeedback: Feedback

Data Source

PatentUS20090309591A1Displaced electrode amplifier
Publication Date: 2009.12.17 HALLIBURTON ENERGY SERVICES INC
  • US20090309591A1 patent drawing
  • US20090309591A1 patent drawing
  • US20090309591A1 patent drawing

AI summary

A displaced electrode amplifier (“DEA”) for measuring signals from high impedance sources. The amplifier may include an operational amplifier (“op-amp”) configured as a unity gain buffer, with a feedback path to the non-inverting input to at least partly compensate for a parasitic input shunt impedance. In cases where the device is to measure AC signals in high ambient temperatures, the non-inverting input may be coupled via a large resistance to a ground reference that is driven with a second feedback signal to magnify the effective value of the large resistance. Where a differential configuration is desired, one or more tuning resistors may be provided to match responses of different input buffer stages, thereby maximizing the common mode rejection. The disclosed amplifier is suitable for use in oil-based mud resistivity imaging tools but is also suitable for other applications.