Voxel-Based Reactive Transport Modeling at Fluid-Solid Interfaces

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Solution Overview

Problem

Existing models for fluid flow and chemical reactions in subterranean formations lack accuracy in predicting structural changes and fluid flow behavior due to insufficient 3D representation and integration of chemical reactions, which is crucial for hydrocarbon extraction and environmental mitigation.

Innovation Solution

A method and system for modeling reactive transport in subterranean formations using digital images of rock samples, segmenting them into voxels, and simulating concentration changes over time, including geochemical calculations to account for chemical reactions at fluid-solid interfaces, with parallel processing to enhance computational efficiency.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If traditional laboratory testing methods are used to determine petrophysical properties, then sample analysis can be performed, but the accuracy of predicting structural changes and fluid flow behavior is insufficient

Engineering Contradiction:
Improveprediction accuracyVSAvoidmodeling complexity
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The patent creates a digital copy (virtual model) of the rock sample based on CT scan images, allowing repeated analysis without physical sample destruction. This digital twin enables accurate prediction of structural changes and fluid flow while avoiding the limitations of single-use physical samples.

Inventive Principle:
Principle #26Copying

Solution Approach 2:

The patent transitions from 2D CT scan images to 3D voxel-based models, adding the third dimension to capture the full spatial complexity of pore structures. This dimensional enhancement enables more accurate prediction of fluid flow paths and structural changes compared to traditional 2D analysis methods.

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

2Measurement precision

If 3D voxel-based modeling is implemented to improve structural representation, then prediction accuracy increases, but computational requirements increase

Engineering Contradiction:
Improvestructural representation accuracyVSAvoidcomputational energy
Core Design Contradiction:
Measurement precisionVSUse of energy by moving object

Solution Approach 1:

The patent divides the 3D rock volume into discrete voxels, each representing a small volume element with specific properties. This segmentation allows parallel processing of individual voxels during chemical reactions simulation, reducing overall computational energy requirements compared to continuous model approaches.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The patent transforms continuous physical properties into discrete parameter values assigned to each voxel. This parameterization enables efficient storage and computation, where chemical concentrations, porosity, and permeability are represented as discrete values that can be processed more energy-efficiently than continuous fields.

Inventive Principle:
Principle #35Parameter changes

3Reliability

If chemical reactions are integrated into the transport model, then prediction accuracy for fluid flow behavior improves, but model complexity increases

Engineering Contradiction:
Improvefluid flow prediction reliabilityVSAvoidmodel integration complexity
Core Design Contradiction:
ReliabilityVSDevice complexity

Solution Approach 1:

The patent merges the transport model and chemical reactions model into a unified reactive transport framework. By combining these previously separate models, the system can predict fluid flow behavior and chemical changes simultaneously, improving reliability without requiring multiple separate simulations.

Inventive Principle:
Principle #5Merging (Combining)

Solution Approach 2:

The voxel-based model serves multiple functions: it represents physical structure, tracks fluid transport, and monitors chemical reactions. This multi-functionality reduces the need for separate modeling approaches and simplifies the overall system architecture despite the increased predictive capability.

Inventive Principle:
Principle #6Universality (Multi-functionality)

4Measurement precision

If detailed geochemical calculations are performed at each voxel, then chemical reaction accuracy improves, but processing time increases

Engineering Contradiction:
Improvechemical reaction accuracyVSAvoidsimulation time
Core Design Contradiction:
Measurement precisionVSLoss of time

Solution Approach 1:

The patent segments the chemical reactions simulation into independent voxel-level calculations that can be executed in parallel. This segmentation allows detailed geochemical calculations to be performed accurately at each voxel while reducing total simulation time through parallel processing architecture.

Inventive Principle:
Principle #1Segmentation

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

Provides more accurate predictions of structural changes and fluid flow in subterranean formations, enhancing operations such as hydrocarbon extraction and environmental mitigation by integrating chemical reactions into 3D modeling.

Implementation Method 1

segmenting the digital image into a plurality of voxels including a plurality of solid voxels each associated with a solid phase mineral of the subterranean formation, a plurality of fluid voxels each associated with a fluid of the subterranean formation, and a plurality of interface voxels each associated with both the solid phase mineral and the fluid of the subterranean formation

Methodology Applied
Scientific EffectImage segmentation:

Implementation Method 2

simulating a concentration change over time of the solid phase mineral of each of the plurality of interface voxels due to simulated chemical activity in the digital image

Methodology Applied
Scientific EffectChemical reaction: Chemical Bonding

Implementation Method 3

converting at least one of the plurality of interface voxels into either a solid voxel or a fluid voxel based on the updated concentration of the solid phase mineral

Methodology Applied
Scientific EffectPhase transition: Phase Change

Data Source

PatentUS20250216581A1Systems and methods for modeling and simulating reactive transport in porous media
Publication Date: 2025.07.03 BP CORP NORTH AMERICA INC
  • US20250216581A1 patent drawing
  • US20250216581A1 patent drawing
  • US20250216581A1 patent drawing

AI summary

A method for modeling reactive transport within a subterranean formation includes defining a chemical system for a digital image of rock from the subterranean formation, segmenting the digital image into a plurality of voxels including a plurality of solid voxels, a plurality of fluid voxels, and a plurality of interface voxels, simulating a concentration change over time for the plurality of interface voxels, and determining an updated concentration for each of the plurality of interface voxels.