Last reviewed: October 4, 2026

Pillar III: Through-Pore Analysis

Capillary Flow Porometry

Capillary Flow Porometry (CFP) characterizes only the through-pores that permit fluid transport across membranes and filters. By measuring gas flow through wet and dry samples, CFP determines bubble point (largest pore), mean flow pore size, and complete pore size distribution from 0.013 to 500 μm — providing direct correlation to filtration performance.

0.013 μm

Min Pore Size

500 μm

Max Pore Size

Through

Pore Type

ASTM F316

Key Standard

Physical Principle & Young-Laplace Equation

Capillary flow porometry exploits the Young-Laplace equation to determine through-pore sizes by measuring the pressure required to displace wetting liquid from pores. Unlike porosimetry techniques that measure all accessible pores, CFP exclusively characterizes pores that contribute to fluid transport.

Young-Laplace Equation for CFP

d = 4γ cos θ / ΔP

Where:
d = pore diameter (μm)
γ = surface tension (dynes/cm)
θ = contact angle (typically 0°)
ΔP = differential pressure (psi or Pa)

Key Differences from MIP:
• Wetting fluid (θ ≈ 0°) vs. non-wetting
• Positive pressure displaces liquid
• Measures only through-pores
• Non-destructive testing

Through-Pore vs. Total Porosity

Through-Pores (CFP)

  • ✓ Connect both surfaces
  • ✓ Permit fluid flow
  • ✓ Determine permeability
  • ✓ Control filtration rating
  • ✓ Relevant for separation

All Pores (MIP/BET)

  • • Include blind pores
  • • Include closed pores
  • • Affect density
  • • Influence absorption
  • • Impact mechanical properties

Measurement Principle

CFP operates on a simple principle: a completely wetted membrane prevents gas flow until sufficient pressure overcomes the capillary forces holding liquid in the pores. The measurement sequence involves:

  1. Sample wetting: Membrane immersed in low surface tension liquid that spontaneously fills all pores. Incomplete wetting is the most common preparation problem; the cross-method sample preparation guide covers wetting-fluid selection alongside the degassing protocols used for MIP and BET.
  2. Pressure application: Gradually increase gas pressure on one side of the membrane
  3. Liquid displacement: At critical pressure, liquid is expelled from largest pores first
  4. Flow measurement: Monitor gas flow rate as function of pressure
  5. Comparison with dry: Repeat measurement on dry sample for reference

Bubble Point Theory & Measurement

The bubble point represents the pressure at which the first continuous gas flow occurs through a wetted membrane, corresponding to the largest through-pore diameter. This critical parameter serves as the primary quality control metric for membrane manufacturing.

Bubble Point Detection Methods

Visual Method (Manual)

Observe first continuous bubble stream in liquid above membrane. Simple but subjective.

  • • Operator-dependent end point
  • • ASTM F316 covers maximum pores of roughly 0.1–15 μm
  • • Standard: ASTM F316 Test Method A (bubble point)
  • • Best for: QC spot checks

Pressure Hold Method

Monitor pressure decay at fixed volume. Sharp increase in decay rate indicates bubble point.

  • • Automated detection
  • • No visual observation needed
  • • Integrity test compatible

Flow Rate Method (Preferred)

Detect the onset of measurable gas flow through the wetted membrane with a flow meter. The approach used by automated capillary flow porometers.

  • • Fully automated
  • • Same run yields the wet curve for mean flow pore (ASTM F316 Test Method B)
  • • Bubble point depends on the flow threshold chosen — report it

Bubble Point Calculations

Common Wetting Fluids & Pore Size Correlations

Wetting Fluid γ (dynes/cm) BP @ 10 psi BP @ 20 psi BP @ 50 psi
Galwick 15.9 0.92 μm 0.46 μm 0.18 μm
Porewick 16.0 0.93 μm 0.46 μm 0.19 μm
Silwick 20.1 1.17 μm 0.58 μm 0.23 μm
Mineral Oil 31.0 1.80 μm 0.90 μm 0.36 μm
Water 72.8 4.22 μm 2.11 μm 0.84 μm

Values from d = 4γ cos θ / ΔP with complete wetting (θ = 0°), i.e. d [μm] ≈ 0.580 × γ [dynes/cm] / ΔP [psi]. ASTM F316 uses an empirical constant instead (d = 0.415 γ / p for p in psi), which gives values about 28% smaller. At the same pressure, a lower-surface-tension fluid empties smaller pores, so it extends the measurable range to smaller sizes.

Integrity Testing Applications

💡 Industrial Application:

Sterilizing-grade filters (0.2/0.22 μm) used in aseptic pharmaceutical manufacturing must be integrity tested: FDA’s 2004 aseptic processing guidance expects testing after use (and normally before), and EU GMP Annex 1 (2022) adds a pre-use post-sterilization test. Bubble point and diffusion (forward-flow) tests are the usual non-destructive methods, with limits correlated by the filter maker to a bacterial challenge (e.g. ASTM F838). A lower-than-specified bubble point indicates damage, a bad seal, or incomplete wetting.

Wet/Dry Curve Method

The wet/dry curve method forms the foundation of modern capillary flow porometry, providing complete pore size distribution from a single measurement sequence. By comparing flow rates through wet and dry samples, the contribution of each pore size to total permeability is quantified.

Measurement Sequence

  1. Wet Curve: Gradually increase pressure on wetted sample
    • No flow until bubble point reached
    • Flow increases as smaller pores empty
    • Approaches dry curve at high pressure
  2. Dry Curve: Measure flow through dry sample
    • Linear relationship (Darcy's law)
    • Represents maximum flow capacity
    • Reference for pore size calculations
  3. Half-Dry Curve: Calculate 50% of dry flow at each pressure
    • Intersection with wet curve = mean flow pore
    • Key parameter for filter rating

Data Analysis & Interpretation

Pore Size Distribution Calculation

The differential distribution is calculated from the wet and dry curves:

f(d) = −d[100 × (Fw/Fd)] / dd

Where Fw = wet flow, Fd = dry flow at same pressure
f(d) is the flow-percentage distribution: the share of total flow carried by pores in each size interval (equivalently, the slope of the “filter flow percentage” curve).

Characteristic Parameters

From Wet/Dry Curves

  • • Bubble point (first flow)
  • • Mean flow pore size
  • • Smallest detected pore
  • • Pore size distribution
  • • Permeability

Quality Metrics

  • • Distribution width (σ)
  • • Uniformity ratio
  • • Flow capacity
  • • Filter rating correlation

Mean Flow Pore Size Determination

Mean flow pore size represents the pore diameter at which 50% of total flow passes through larger pores and 50% through smaller pores. This flow-weighted average better predicts filtration performance than number-based or volume-based averages.

Why Mean Flow Pore Size Matters

Flow through a pore is proportional to d⁴ (Hagen-Poiseuille equation), so larger pores dominate flow contribution:

  • • A single 10 μm pore carries same flow as 10,000 pores of 1 μm
  • • Number-average would underestimate effective pore size
  • • Mean flow pore correlates with particle retention rating

Relationship to Filter Ratings

Filter Rating Correlations (illustrative)

Filter Type Nominal Rating Mean Flow Pore Max Pore (BP)
Sterile (absolute) 0.2 μm 0.25-0.3 μm 0.4-0.5 μm
Clarifying 0.45 μm 0.5-0.6 μm 0.8-1.0 μm
Pre-filter 1.0 μm 1.2-1.5 μm 2.0-2.5 μm
Depth filter 5.0 μm 6-8 μm 15-20 μm

Rough, illustrative ranges only — they vary with membrane chemistry, structure, and wetting fluid. A filter’s rating is defined by a retention challenge (for sterilizing grade, ASTM F838 with Brevundimonas diminuta), not by porometry; manufacturers publish the bubble-point limit that correlates with that challenge for each product. Depth filters retain particles throughout their thickness, so pore size alone does not set their rating.

Wetting Fluid Selection

Proper wetting fluid selection is critical for accurate CFP measurements. The fluid must spontaneously wet the membrane material (θ ≈ 0°), have low volatility, and not interact chemically with the sample.

Commercial Wetting Fluids

Galwick (Standard)

• Surface tension: 15.9 dynes/cm
• Composition: Perfluoropolyether
• Advantages: Low γ, inert, non-toxic
• Range: 0.02-500 μm
• Most common for general use

Silwick (Silicone)

• Surface tension: 20.1 dynes/cm
• For silicone-based membranes
• Better wetting on hydrophobic
• Range: 0.03-500 μm
• Common in membrane QC

Mineral Oil

• Surface tension: 31 dynes/cm
• Low cost alternative
• Good for large pores
• Range: 0.1-500 μm
• Industrial applications

Water/Alcohols

• Surface tension: 22-73 dynes/cm
• For hydrophilic membranes
• Isopropanol common
• Range: 0.5-500 μm
• Evaporation concerns

Selection Criteria

⚠️ Critical Considerations:

  • • Complete wetting essential (θ < 10°)
  • • No membrane swelling or dissolution
  • • Low vapor pressure to prevent evaporation
  • • Surface tension matched to pore size range
  • • Chemical compatibility verification required

Liquid-Liquid Porometry

Liquid-liquid porometry extends measurement capability to smaller pores (down to 2 nm) by using immiscible liquid pairs instead of gas-liquid systems. This technique is essential for ultrafiltration and tight nanofiltration membranes.

Principle & Advantages

Why Liquid-Liquid?

  • Lower interfacial tension: Enables measurement at lower pressures
  • No compressibility: More accurate flow measurements
  • Smaller pores: Can measure down to 2 nm
  • No evaporation: Stable during long measurements

Common pairs: Water/alcohol, Water/oil mixtures
Interfacial tension: 1-10 dynes/cm
Pressure range: Up to 1000 psi
Pore range: 2 nm - 2 μm

Applications & Limitations

Ideal Applications

  • • Ultrafiltration membranes
  • • Tight nanofiltration
  • • Virus removal filters
  • • Protein separation membranes
  • • Dialysis membranes

Limitations

  • • Complex fluid preparation
  • • Membrane compatibility issues
  • • Difficult cleaning
  • • Limited fluid choices
  • • Higher equipment cost

Darcy's Law & Permeability

The dry curve (gas flow through the dry sample against differential pressure) gives the sample's permeability. For a liquid, or for a gas at small pressure drops, Darcy's law applies:

Q = k · A · ΔP / (μ · L)

Q = volumetric flow rate, k = permeability (m²; 1 darcy ≈ 9.87 × 10⁻¹³ m²), A = sample area, μ = fluid viscosity, L = sample thickness. Because gas is compressible, the flow is evaluated at the mean pressure across the sample. Many porometers also report air permeability in industry units such as Frazier (cfm/ft² at 0.5 inch H₂O) or Gurley seconds.

The wet curve shows the share of flow carried by each pore size. Since Hagen–Poiseuille flow scales with d⁴ for each pore, a few large pores can dominate permeability. This is why the bubble point and the mean flow pore usually track filtration flux better than a volume-weighted pore size from mercury intrusion.

Standards & Test Protocols

  • ASTM F316-03(2019) — bubble point (Test Method A) and mean flow pore (Test Method B) of membrane filters with maximum pores of roughly 0.1–15 μm.
  • ASTM D6767 — pore size characteristics of geotextiles by capillary flow test.
  • ISO 2942 — fabrication integrity and first bubble point of hydraulic filter elements.
  • ISO 4003 — bubble test pore size of permeable sintered metal materials.
  • SAE ARP901 — bubble-point test method for aerospace filter elements.
  • ASTM E1294 — automated liquid porosimeter method for membrane filters; withdrawn by ASTM in 2008 without replacement but still cited in older literature.

See the standards index for the full list across MIP, gas adsorption, and porometry.

CFP Applications Across Industries

Capillary flow porometry is the standard method for quality control and development of filtration membranes, providing direct correlation between pore structure and separation performance.

Sterile Filtration

Bubble point and diffusion integrity tests on 0.2/0.22 μm sterilizing filters before and after use, as expected under FDA and EU GMP guidance. In development, CFP supports lot-to-lot consistency checks of the membrane.

Water Treatment

Microfiltration (0.1-10 μm) and ultrafiltration (0.01-0.1 μm) membrane QC. Ultrafiltration pores are near the lower limit of gas–liquid CFP, so UF is usually rated by MWCO or characterized by liquid–liquid porometry. Monitor fouling via pore size shifts.

Battery Separators

Separator porosity affects ionic conductivity and dendrite prevention. Typical pore size 0.03-1 μm for Li-ion. CFP ensures uniform pore distribution preventing hot spots.

Air Filtration

HEPA/ULPA classes (EN 1822 / ISO 29463) are assigned by aerosol efficiency testing at the most penetrating particle size, not by porometry. CFP is used in media development to compare pore structure and spot pinholes or defects.

Bioprocessing

Virus-removal filters are validated by spiking studies that measure log reduction value (LRV). Routine integrity is checked with manufacturer-specific gas–liquid or liquid–liquid porometry tests correlated to that retention.

Fuel Filtration

Aviation fuel filters require precise pore control (0.5-5 μm). Water separator coalescer testing. CFP per SAE ARP901 for qualification.

Medical Devices

Venting membranes for IV bags, dialyzers, and wound dressings. CFP ensures proper gas exchange while maintaining bacterial barrier.

Nonwovens & Textiles

Breathability and moisture vapor transmission rate (MVTR) correlation. CFP characterizes pore structure in protective clothing and surgical drapes.

Continue with through-pore analysis

The bubble point & mean flow pore guide works through the wet, dry and half-dry curves with examples, and its calculator converts a measured pressure to the diameter of the largest through-pore using the same Young–Laplace expression. The porosimetry-vs-porometry comparison covers when CFP is the right answer at all, and when total-pore methods like MIP or gas adsorption are needed instead.

Bubble Point Calculator Porosimetry vs. Porometry