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arxiv: 2606.19098 · v1 · pith:2VLVY6PYnew · submitted 2026-06-17 · ❄️ cond-mat.soft · physics.flu-dyn

Pore-shape and its spatial organization control intrinsic permeability of porous media

Wenqiao Jiao , Isaac Pincus , Chiara Recalcati , Alberto Guadagnini , Pietro de Anna This is my paper

Pith reviewed 2026-06-26 18:58 UTC · model grok-4.3

classification ❄️ cond-mat.soft physics.flu-dyn
keywords porous mediaintrinsic permeabilitydead-end porespore-scale simulationhydrodynamic interactionsspatial organization
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0 comments X

The pith

Dead-end pores enhance permeability when their density increases along percolating flow paths.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper examines whether dead-end pores, commonly viewed as inactive, affect the intrinsic permeability of porous media beyond their volume contribution. Pore-scale simulations across varied structures show that raising the density of dead-end pores along flow paths increases permeability through localized hydrodynamic interactions at junctions. Pore depth and junction orientation produce negligible changes. The work isolates these effects while holding the transmitting network fixed and proposes an effective formulation tying dead-end pore density and organization to macroscopic permeability. A reader would care because the result identifies an extra geometric lever on flow resistance separate from porosity or pore-size distributions.

Core claim

Dead-end pores influence intrinsic permeability such that increasing their density along percolating flow paths enhances permeability, whereas pore depth and junction orientation have negligible effects. The observed permeability enhancement originates from localized hydrodynamic interactions at junctions between transmitting and dead-end pores. An effective formulation relates the density and spatial organization of dead-end pores relative to the transmitting network to macroscopic permeability. Findings indicate that dead-end pore architecture supplies an additional geometric control on intrinsic permeability beyond porosity and pore-size statistics.

What carries the argument

Density and spatial organization of dead-end pores along the transmitting network, which produces the permeability change via localized hydrodynamic interactions at junctions.

If this is right

  • Permeability rises with dead-end pore density along percolating flow paths.
  • Dead-end pore depth produces no significant change in permeability.
  • Junction orientation between dead-end and transmitting pores has negligible impact.
  • The effective formulation predicts permeability from dead-end pore density and organization relative to the transmitting network.
  • Dead-end pore architecture controls permeability beyond porosity and pore-size statistics.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Models of fluid transport in soils or filters could gain accuracy by incorporating dead-end pore density along paths rather than treating such pores as inert volume.
  • Microfluidic experiments with tunable dead-end structures could directly test the predicted junction interactions.
  • The result invites re-examination of effective-porosity approximations in macroscopic flow equations.

Load-bearing premise

Pore-scale flow simulations isolate the effects of dead-end pore density, depth, and orientation while preserving the transmitting network without confounding influences from specific geometries or numerical methods.

What would settle it

Direct measurement in a physical porous sample where permeability fails to rise or instead falls as dead-end pore density increases along flow paths would falsify the enhancement mechanism.

Figures

Figures reproduced from arXiv: 2606.19098 by Alberto Guadagnini, Chiara Recalcati, Isaac Pincus, Pietro de Anna, Wenqiao Jiao.

Figure 1
Figure 1. Figure 1: FIG. 1. Validation of the numerical framework against experimental and theoretical results. (a) Representative quasi-two-dimensional porous [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Pore geometries with and without dead-end pores. (a) Phase-field–generated pore structures with identical macroscopic dimensions [PITH_FULL_IMAGE:figures/full_fig_p005_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Porous media with controlled dead-end pore density. (a) Representative configuration [PITH_FULL_IMAGE:figures/full_fig_p006_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. Single-channel configurations with controlled dead-end pore geometry. (a) Reference straight channel [PITH_FULL_IMAGE:figures/full_fig_p007_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. Junction-scale control on permeability and effective resistance model. (a) Magnification of the pore-scale velocity field [PITH_FULL_IMAGE:figures/full_fig_p008_5.png] view at source ↗
read the original abstract

The structure of a porous material, and in particular its spatial variability, is known to control the intrinsic permeability of the system. We investigate how dead-end pores influence the intrinsic permeability of a porous medium beyond their contribution to total pore volume. Dead-end pores are ubiquitous in porous media, yet they are often treated as hydraulically inactive regions whose influence is assumed to be negligible or absorbed into effective-porosity descriptions. We perform pore-scale flow simulations across different dead-end pore structures, including heterogeneous arrangements, controlled granular assemblies, and a minimal single-channel model to study their impact on the system macroscopic permeability. This strategy allows us to isolate the effects of dead-end pore density, depth, and orientation while preserving the transmitting network. We find that dead-end pores can influence intrinsic permeability: increasing the density of dead-end pores along percolating flow paths enhances permeability, whereas pore depth and junction orientation have negligible effects. The observed permeability enhancement originates from localized hydrodynamic interactions at junctions between transmitting and dead-end pores. Based on these results, we propose an effective formulation that relates the density and spatial organization of dead-end pores relative to the transmitting network to macroscopic permeability. Our findings show that dead-end pore architecture provides an additional geometric control on intrinsic permeability beyond porosity and pore-size statistics.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. The manuscript examines the role of dead-end pores in controlling intrinsic permeability of porous media beyond their contribution to total porosity. Using pore-scale flow simulations on heterogeneous arrangements, controlled granular assemblies, and a minimal single-channel model, the authors isolate the effects of dead-end pore density, depth, and junction orientation while holding the transmitting network fixed. They report that higher density of dead-end pores along percolating paths increases permeability via localized hydrodynamic interactions at junctions, while depth and orientation have negligible impact, and propose an effective formulation linking dead-end pore density and spatial organization to macroscopic permeability.

Significance. If the simulation-based findings hold under scrutiny, the work identifies an additional geometric control on permeability that challenges the common assumption of dead-end pores as hydraulically inactive. The controlled isolation of variables across multiple model systems provides a clear empirical basis for the density-dependent enhancement claim. This could inform refined effective-medium models for flow in porous materials, with relevance to hydrology and materials science. The absence of free parameters in the reported approach and the direct use of DNS rather than closed-form derivation are noted strengths.

major comments (2)
  1. [Methods / Results (simulation validation)] The central claim of permeability enhancement rests on pore-scale DNS results, yet the provided abstract and summary give no information on mesh convergence, boundary condition sensitivity, or statistical error bars on the reported permeability values. This detail is load-bearing for the quantitative claim that density increases permeability while depth/orientation do not.
  2. [Discussion / Proposed formulation] The effective formulation relating dead-end density and organization to permeability is presented as emerging from the simulations. Clarification is needed on whether this relation is purely predictive from the controlled cases or incorporates any post-hoc adjustment, and how it performs on geometries outside the studied set.
minor comments (2)
  1. [Abstract] The abstract states that the strategy 'allows us to isolate the effects' but does not quantify how completely the transmitting network is preserved across the different dead-end configurations; a brief statement on this preservation metric would aid clarity.
  2. [Figure captions / Results] Figure captions and text should explicitly note the number of independent realizations or ensemble size used to establish that depth and orientation effects are negligible.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their positive evaluation and recommendation of minor revision. We address the two major comments below, providing clarifications and indicating revisions to the manuscript where appropriate.

read point-by-point responses

  1. Referee: [Methods / Results (simulation validation)] The central claim of permeability enhancement rests on pore-scale DNS results, yet the provided abstract and summary give no information on mesh convergence, boundary condition sensitivity, or statistical error bars on the reported permeability values. This detail is load-bearing for the quantitative claim that density increases permeability while depth/orientation do not.

    Authors: We agree that explicit documentation of numerical validation is necessary to support the quantitative claims. The full manuscript describes the DNS setup (including the lattice Boltzmann method, domain sizes, and boundary conditions), but we acknowledge that dedicated reporting of mesh convergence, boundary sensitivity, and statistical uncertainties was not sufficiently prominent. In the revised manuscript we have added a new subsection to the Methods section that reports: (i) mesh-independence tests showing permeability changes below 1.5% upon successive refinement, (ii) checks confirming insensitivity to inlet/outlet buffer lengths and periodic versus fixed-pressure boundaries, and (iii) error bars obtained from at least five independent realizations of each pore configuration, with standard deviations typically under 3% of the mean permeability. revision: yes

  2. Referee: [Discussion / Proposed formulation] The effective formulation relating dead-end density and organization to permeability is presented as emerging from the simulations. Clarification is needed on whether this relation is purely predictive from the controlled cases or incorporates any post-hoc adjustment, and how it performs on geometries outside the studied set.

    Authors: The formulation was obtained by direct regression on the controlled single-channel and granular-assembly data sets in which dead-end density, depth, and orientation were varied independently while the transmitting network remained fixed; no additional fitting parameters or post-hoc adjustments were introduced to match external data. We have revised the Discussion to state this explicitly and to emphasize that the relation is predictive within the explored parameter ranges. Performance on geometries lying substantially outside the studied density and organization ranges has not been systematically validated beyond the heterogeneous arrangements already reported; we have added a short paragraph noting this limitation and identifying it as an avenue for future work. revision: partial

Circularity Check

0 steps flagged

No significant circularity; results from controlled simulations

full rationale

The paper's central claims derive from pore-scale flow simulations that deliberately isolate dead-end pore density, depth, and orientation while holding the transmitting network fixed. The proposed effective formulation is presented as emerging directly from these numerical observations rather than from any closed-form derivation, parameter fitting that renames inputs as predictions, or self-citation chains. No load-bearing step reduces by construction to its own inputs via the enumerated patterns; the argument is empirically grounded in the simulation design.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

No free parameters, new axioms, or invented entities are mentioned in the abstract; the work relies on standard assumptions of incompressible viscous flow at the pore scale.

axioms (1)
  • standard math Incompressible Navier-Stokes equations govern pore-scale flow.
    Implicit basis for all pore-scale flow simulations described.

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discussion (0)

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Reference graph

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