ASTM F2952 - 14

    Standard Guide for Determining the Mean Darcy Permeability Coefficient for a Porous Tissue Scaffold

    Active Standard ASTM F2952 | Developed by Subcommittee: F04.42

    Book of Standards Volume: 13.02

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    Significance and Use

    4.1 This document describes the basic principles that need to be followed to obtain a mean value of the Darcy permeability coefficient for structures that consist of a series of interconnected voids or pores. The coefficient is a measure of the permeability of the structure to fluid flowing through it that is driven by a pressure gradient created across it.

    4.2 The technique is not sensitive to the presence of closed or blind-end pores (Fig. 1


    4.3 Values of the permeability coefficient can be used to compare the consistency of manufactured samples or to determine what the effect of changing one or more manufacturing settings has on permeability. They can also be used to assess the homogeneity and anisotropy of tissue scaffolds. Variability in the permeability coefficient can be also be indicative of:

    4.3.1 Internal damage within the sample e.g., cracking or permanent deformation.

    4.3.2 The presence of large voids, including trapped air bubbles, within the structure.

    4.3.3 Surface effects such as a skin formed during manufacture.

    4.3.4 Variable sample geometry.

    4.4 This test method is based on the assumption that the flow rate through a given sample subjected to an applied pressure gradient is constant with time.

    Note 1If a steady state flow condition isn’t reached, then this could be due to structural damage (i.e., crack formation or the porous structure deformed as a result of the force being placed upon it by the fluid flowing through it). Sample deformation in the form of stretching (bowing) can also occur for less resilient structures as a result of high fluid flow rates. This topic is discussed in more detail in Section 7.

    4.5 Care should be taken to ensure that hydrophobic materials are fully wetted out when using water or other aqueous-based liquids as permeants.

    4.6 Conventionally, the pressure differential created across a sample is measured as a function of both increasing and decreasing flow rates. An alternative approach, which may be practically easier to create, is to apply a range of different pressure differentials across the sample and measure the resultant flow of fluid through it. The hysteresis that occurs during a complete cycle of increasing flow rate followed by a progressive decrease in flow rate can provide an excellent measure of the behavioural consistency of the matrix. Significant hysteresis in the measured pressure differential during increasing and decreasing flow rates can indicate the existence of induced damage in the structure, the fact that the material is behaving viscoelastically or suffering from permanent plastic deformation. Some guidance on how to identify which of these factors are responsible for hysteresis is provided in Section 7.

    4.7 It is assumed that Darcy’s law is valid. This can be established by plotting the volume flow through the specimen against the differential pressure drop across the specimen. This plot should be linear for Darcy’s law to apply and a least squares fit to the data should pass through the origin. It is not uncommon for such plots to be non-linear which may indicate that the structure does not obey Darcy’s law or that the range of pressures applied is too broad. This topic is further discussed in Section 7.

    1. Scope

    1.1 This guide describes test methods suitable for determining the mean Darcy permeability coefficient for a porous tissue scaffold, which is a measure of the rate at which a fluid, typically air or water, flows through it in response to an applied pressure gradient. This information can be used to optimize the structure of tissue scaffolds, to develop a consistent manufacturing process, and for quality assurance purposes.

    1.2 The method is generally non-destructive and non-contaminating.

    1.3 The method is not suitable for structures that are easily deformed or damaged. Some experimentation is usually required to assess the suitability of permeability testing for a particular material/structure and to optimize the experimental conditions.

    1.4 Measures of permeability should not be considered as definitive metrics of the structure of porous tissue scaffolds and should complement measures obtained by other investigative techniques e.g., scanning electron microscopy, gas flow porometry and micro-computer x-ray tomography (ASTM F2450).

    1.5 This standard does not purport to address all of the safety concerns, if any, associated with its use. It is the responsibility of the user of this standard to establish appropriate safety and health practices and determine the applicability of regulatory limitations prior to use.

    2. Referenced Documents (purchase separately) The documents listed below are referenced within the subject standard but are not provided as part of the standard.

    ASTM Standards

    D4525 Test Method for Permeability of Rocks by Flowing Air

    F2450 Guide for Assessing Microstructure of Polymeric Scaffolds for Use in Tissue-Engineered Medical Products

    F2603 Guide for Interpreting Images of Polymeric Tissue Scaffolds

    American Petroleum Institute (API) Document

    RP-27 Recommended Practice for Determining Permeability of Porous Media

    ICS Code

    ICS Number Code 11.100.99 (Other standards related to laboratory medicine)

    UNSPSC Code

    UNSPSC Code

    Referencing This Standard

    DOI: 10.1520/F2952

    ASTM International is a member of CrossRef.

    Citation Format

    ASTM F2952-14, Standard Guide for Determining the Mean Darcy Permeability Coefficient for a Porous Tissue Scaffold, ASTM International, West Conshohocken, PA, 2014,

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