Modeling Permeation in Multilayer Polymer Structures

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Solution Overview

Problem

Current models fail to accurately predict the permeability of multilayer polymer structures to complex solvent mixtures like fuel essences, which are essential for compliance with stringent environmental standards, due to their complexity and the time-consuming nature of experimental measurements.

Innovation Solution

A method is developed to model the permeation of solvent mixtures through multilayer polymer structures by measuring sorption and diffusion of individual compounds, discretizing the structure into elementary slices, estimating partial fluxes, and performing mass balances to optimize layer thickness and material stacking, significantly reducing validation time from months to days.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If experimental measurements are performed on multilayer polymer structures to validate permeation to essences, then measurement precision is improved, but loss of time worsens significantly (taking from 1 to 3 months for 1mm thickness and at least a year for 3mm thickness)

Engineering Contradiction:
Improvepermeation measurement accuracyVSAvoidvalidation time
Core Design Contradiction:
Measurement precisionVSLoss of time

Solution Approach 1:

The patent creates a computational model that replicates the physical permeation process. The model uses numerical simulations to copy the behavior of essence permeation through multilayer structures, allowing validation without performing time-consuming physical experiments. The computational approach reproduces the same physical phenomena (diffusion, sorption, swelling) in a virtual environment, reducing validation time from months to days while maintaining measurement precision.

Inventive Principle:
Principle #26Copying

Solution Approach 2:

The patent replaces the physical experimental system with a computational numerical model. Instead of using physical multilayer polymer structures and performing actual permeation experiments, the invention uses computer-based simulations with partial differential equations to model the permeation process. This substitution eliminates the time constraint of physical experiments while preserving the accuracy of measurements through rigorous mathematical modeling.

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

2Reliability

If multilayer polymer structures are designed with optimized barrier properties to meet environmental standards, then reliability is improved, but device complexity worsens due to multiple layers with different materials and thicknesses

Engineering Contradiction:
Improvebarrier performanceVSAvoidmultilayer structure complexity
Core Design Contradiction:
ReliabilityVSDevice complexity

Solution Approach 1:

The patent systematically varies key parameters such as layer thickness, material composition, and stacking sequence to optimize barrier performance. The computational model allows rapid exploration of different parameter combinations to identify optimal configurations that meet environmental standards. By changing parameters in silico rather than through repeated physical prototyping, the method achieves reliable barrier performance while managing structural complexity through informed design decisions.

Inventive Principle:
Principle #35Parameter changes

Solution Approach 2:

The patent employs multilayer composite structures combining different polymer materials (e.g., polyethylene, polyamide, EVOH) with distinct barrier properties. Each layer is selected and positioned to address specific permeation challenges for different essence components. The computational optimization determines the optimal composite configuration, balancing the complexity of multiple layers against the need for superior barrier performance required by stringent environmental regulations.

Inventive Principle:
Principle #40Composite materials

3Productivity

If thin films are used for experimental characterization instead of full-thickness tank walls, then productivity is improved (validation in one day versus several months), but measurement precision may worsen due to scale effects

Engineering Contradiction:
Improvevalidation speedVSAvoidpermeation measurement accuracy
Core Design Contradiction:
ProductivityVSMeasurement precision

Solution Approach 1:

The patent incorporates film thickness as a variable parameter in the computational model. By modeling the permeation process with explicit dependence on thickness, the system can predict full-scale tank behavior from thin-film experimental data. The numerical solution of partial differential equations accounts for thickness effects, allowing accurate extrapolation from rapid thin-film measurements to full-thickness tank performance, thus maintaining measurement precision while achieving high productivity.

Inventive Principle:
Principle #35Parameter changes

Solution Approach 2:

The computational model serves as an intermediary between thin-film experiments and full-scale tank validation. The model takes experimental data from thin films as input, processes it through rigorous mathematical relationships that account for thickness effects, and outputs predictions for full-thickness structures. This intermediary approach enables rapid validation through thin films while preserving measurement accuracy for actual tank applications.

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

This method allows for quick and efficient validation of tank structures, optimizing layer thickness and material arrangement, thereby reducing permeability and compliance with environmental standards, saving time and resources in tank design.

Implementation Method 1

measurement of sorption, consisting of measuring an amount of each compound of said composition of solvent mixture, absorbed by said monolayer

Methodology Applied
Scientific EffectSorption: Sorption

Implementation Method 2

measurement of diffusion, by measuring partial fluxes of each compound of said composition of solvent mixture through said monolayer

Methodology Applied
Scientific EffectDiffusion: Diffusion

Implementation Method 3

The key materials used in the barrier structures are characterized by low levels of swelling when they are brought into contact with the essences

Methodology Applied
Scientific EffectSwelling:

Data Source

PatentUS10161846B2Method of modeling permeation to essences of a multilayer polymer structure
Publication Date: 2018.12.25 ARKEMA FRANCE SA
  • US10161846B2 patent drawing
  • US10161846B2 patent drawing
  • US10161846B2 patent drawing

AI summary

A method of constructing a model of permeation to mixtures of solvents of a multilayer polymer structure with n monolayers and its associated computer program. For example, selecting several initial compositions of solvent mixture E1 to Ey, carrying out a sorption measurement and a measurement of diffusion, discretizing said multilayer structure in space and time, estimating partial fluxes of each of the compounds of said composition of solvent mixture between each elementary slice of said multilayer structure, estimating on the one hand a maximal sorption ceiling of said downstream monolayer B and on the other hand the composition of solvent mixture at inlet of said downstream monolayer B, performing a mass balance from slice to slice as a function of time, adjusting the profile of concentrations, storing the concentration profiles and the partial fluxes obtained.