3D Porous Solid Transport Flux Simulation

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Solution Overview

Problem

Existing macroscopic models for porous media are insufficient in describing heat, mass, and electric transport phenomena, particularly failing to account for microscopic processes, phase transitions, non-Newtonian rheology, surfactant effects, and chemical reactions, which are crucial for accurate transport modeling in three-dimensional porous media.

Innovation Solution

A method involving 3D imaging and digital processing of porous solids to generate digital models, using a numerical solver based on statistical many-body approaches and stochastic geometry, which accounts for various thermophysical, chemical, and electromagnetic phenomena, allowing for the simulation and validation of heat, mass, and electric fluxes, including phase transitions and chemical reactions.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Device complexity

If macroscopic continuous medium models are used for porous media transport, then the modeling is simpler and computationally more efficient, but the models are insufficient to describe microscopic processes, phase transitions, non-Newtonian rheology, surfactant effects, and chemical reactions

Engineering Contradiction:
Improvemodeling complexityVSAvoidmodel accuracy
Core Design Contradiction:
Device complexityVSReliability

Solution Approach 1:

The patent segments the porous medium into discrete pore-scale elements and uses 3D imaging to reconstruct the actual microstructure. This segmentation allows the model to capture microscopic processes, phase transitions, and chemical reactions that occur at the pore level, while still enabling computational modeling through systematic discretization of the transport equations.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The patent creates digital 3D copies of the actual porous medium microstructure using X-ray microtomography and other imaging techniques. These digital replicas preserve the真实 geometric and topological features of the porous medium, allowing accurate simulation of transport phenomena without requiring physical experiments, thus improving model reliability while maintaining computational efficiency.

Inventive Principle:
Principle #26Copying

2Measurement precision

If 3D imaging and digital processing methods are used to obtain detailed porous solid models, then the model accuracy and ability to capture microscopic processes is improved, but the computational complexity and data processing requirements increase

Engineering Contradiction:
Improvemicrostructure characterization accuracyVSAvoidcomputational complexity
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The patent performs preliminary digital processing and morphological analysis of the 3D images to extract key structural parameters and simplify the geometric representation before running transport simulations. This preliminary action reduces the computational complexity by pre-characterizing the microstructure, so that subsequent simulations can focus on transport phenomena without repeatedly processing the full high-resolution geometric data.

Inventive Principle:
Principle #10Preliminary action

Solution Approach 2:

The patent transforms the detailed 3D image data into a set of meaningful morphological and geometric parameters that characterize the porous structure. By changing from raw pixel data to extracted parameters (such as pore size distribution, connectivity, tortuosity), the model maintains high measurement precision while reducing computational complexity for transport simulations.

Inventive Principle:
Principle #35Parameter changes

Data Source

PatentUS8965740B2Numerical method of calculating heat, mass, chemical and electric transport for three-dimensional porous solid
Publication Date: 2015.02.24 SCHLUMBERGER TECH CORP
  • US8965740B2 patent drawing
  • US8965740B2 patent drawing
  • US8965740B2 patent drawing

AI summary

This invention relates to a method of estimating fluxes for the processes of matter and field transport through fluid-saturated or gas-saturated porous solid. The method comprises obtaining three-dimensional porous solid images by, but not limited, X-ray microtomography, 3D NMR imaging, 3D reconstruction from petrographic thin-section analysis etc., digital processing and morphological analysis of the 3D core images by consecutive application of the image filtering, segmentation and multiple property recognition for obtaining digital 3D models of porous solid samples and performing a set of morphological and geometrical statistical property analysis. For the above mentioned 3D model (models) heat, mass, chemical and electric fluxes are modeled (separately or in combination) under given boundary conditions by means of numerical solver. The new models, which are statistically equivalent to the abovementioned model (models) are generated by means of random field and stochastic geometry theory; heat, mass, chemical and electric fluxes are simulated for new models. The obtained fluxes are averaged over realizations to be used in macroscopic calculations.