Two-Stage NMR T2 Mapping for Pore Throat Size Prediction

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Solution Overview

Problem

Existing methods struggle to accurately transform NMR relaxation time distributions to mercury injection capillary pressure pore throat size distributions due to non-linear and heterogeneous relationships, limited training data, and high uncertainty in NMR measurements, which hinders optimal drilling decisions.

Innovation Solution

A multi-level machine learning model using data augmentation techniques to map NMR T2 distributions to MICP pore throat size distributions, incorporating physics-based equations to constrain the model and reduce uncertainty, with a two-level neural network architecture to predict pore throat sizes and NMR T2 distributions.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If traditional methods are used to transform NMR relaxation time distributions to pore throat size distributions, then the process is simple, but the accuracy is low due to non-linear and heterogeneous relationships

Engineering Contradiction:
Improveaccuracy of pore throat size distributionVSAvoidcomplexity of transformation model
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The patent replaces traditional mechanical/mathematical transformation methods with a machine learning-based approach. A neural network model is trained to map NMR relaxation time distributions to pore throat size distributions, capturing non-linear and heterogeneous relationships that traditional linear or empirical methods cannot adequately represent. This substitution of transformation methodology significantly improves measurement precision while managing complexity through data-driven learning rather than complex analytical formulations.

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

Solution Approach 2:

The patent transforms the problem by changing the approach from direct mathematical transformation to a two-stage process: first transforming NMR relaxation time to NMR pore size using a neural network, then transforming NMR pore size to MICP pore throat size using another neural network. This parameter transformation strategy allows each stage to handle specific aspects of the relationship, improving overall accuracy by breaking down the complex non-linear transformation into manageable segments with dedicated models optimized for their specific tasks.

Inventive Principle:
Principle #35Parameter changes

2Measurement precision

If more training data is collected to improve model accuracy, then the prediction accuracy improves, but the time and cost to obtain data increases

Engineering Contradiction:
Improveprediction accuracyVSAvoidtime to obtain training data
Core Design Contradiction:
Measurement precisionVSLoss of time

Solution Approach 1:

The patent creates synthetic training data that replicates the characteristics of real core analysis data. By generating artificial datasets that mimic the relationships between NMR measurements, porosity, and pore throat size, the model can be trained on large volumes of data without requiring equivalent amounts of expensive and time-consuming real core analyses. This copying approach allows the model to learn from virtual representations of real-world data, significantly reducing the time and cost burden while maintaining prediction accuracy.

Inventive Principle:
Principle #26Copying

Solution Approach 2:

The patent performs preliminary transformations and preprocessing of data before training the neural network models. By pre-processing NMR relaxation time data, converting it to NMR pore size distributions, and preparing the training datasets in advance, the system reduces the computational and temporal requirements during the actual training phase. This preliminary action strategy allows for more efficient use of training data and reduces the overall time needed to develop accurate prediction models.

Inventive Principle:
Principle #10Preliminary action

3Measurement precision

If a single-level neural network is used, then the model complexity is low, but it cannot capture the multi-stage transformation accurately

Engineering Contradiction:
Improvetransformation accuracyVSAvoidneural network architecture
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The patent segments the transformation process into two distinct stages, each handled by a separate neural network model. The first network transforms NMR relaxation time to NMR pore size, while the second network transforms NMR pore size to MICP pore throat size. This segmentation allows each model to be optimized for its specific transformation task, improving overall accuracy by allowing specialized learning for each stage rather than attempting to capture the entire complex non-linear relationship in a single model.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The patent introduces an intermediate dimension (NMR pore size) between the input (NMR relaxation time) and the final output (MICP pore throat size). By transforming through this intermediate representation, the model can capture the complex non-linear relationships more effectively. This dimensional intermediate step allows the system to break down the complex transformation into manageable stages, improving measurement precision while keeping each individual network relatively simple.

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

Data Source

PatentUS20250231315A1Machine learning based pore body to pore throat size transformation for complex reservoirs
Publication Date: 2025.07.17 HALLIBURTON ENERGY SERVICES INC
  • US20250231315A1 patent drawing
  • US20250231315A1 patent drawing
  • US20250231315A1 patent drawing

AI summary

A computer-implemented method is provided. The computer-implemented method can include receiving one or more input NMR measurements at a first neural network; transforming the one or more input NMR measurements to a predicted pore throat size distribution or one or more predicted pore throat size parameters; receiving the predicted pore throat size distribution or the one or more predicted pore throat size parameters at a second neural network; transforming the predicted pore throat size distribution or the one or more predicted pore throat size parameters to a predicted NMR T2 distribution or one or more predicted NMR T2 parameters; and applying one or more physics based equations to the predicted NMR T2 distribution or the one or more predicted NMR T2 parameters to forward model the predicted NMR T2 distribution or the one or more predicted NMR T2 parameters to one or more simulated NMR measurements.