{"paper":{"title":"Global Buckley--Leverett for Multicomponent Flow in Fractured Media: Isothermal Equation-of-State Coupling and Dynamic Capillarity","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"Maxwell-Stefan diffusion combined with dynamic capillarity makes multicomponent Buckley-Leverett transport pseudo-parabolic.","cross_cats":["cond-mat.soft"],"primary_cat":"physics.flu-dyn","authors_text":"Christian Tantardini, Fernando Alonso-Marroquin","submitted_at":"2025-11-09T05:20:28Z","abstract_excerpt":"We present an isothermal Global Buckley--Leverett framework for multicomponent, multiphase flow in porous and fractured media that retains the interpretability of classical Buckley--Leverett while incorporating essential physics: equation of state-based phase behavior, multicomponent Maxwell--Stefan diffusion, dynamic capillarity, stress-sensitive permeability, and non-Darcy fracture flow. The formulation yields a single global-pressure equation driving the total Darcy flux and an exact fractional-flow decomposition of phase velocities with buoyancy and capillary drifts; inertial effects enter"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"The combination of Maxwell--Stefan diffusion and dynamic capillarity renders transport pseudo-parabolic, resolving the loss of strict hyperbolicity that plagues three-phase Buckley--Leverett and ensuring a well-posed initial-value problem.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"That the added physics (dynamic capillarity, Maxwell-Stefan diffusion, inertial damping) can be incorporated while preserving an exact fractional-flow decomposition of phase velocities and a single global-pressure equation that drives the total Darcy flux.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"A global-pressure formulation for multicomponent flow in fractured media incorporates dynamic capillarity and Maxwell-Stefan diffusion to produce pseudo-parabolic transport that resolves hyperbolicity loss in three-phase Buckley-Leverett models.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Maxwell-Stefan diffusion combined with dynamic capillarity makes multicomponent Buckley-Leverett transport pseudo-parabolic.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"c7fa6ff9efa6bf2d43c94bf9cd7ce3c3a81098ade3c8448184d3d63cd4cf5442"},"source":{"id":"2511.06233","kind":"arxiv","version":4},"verdict":{"id":"702518fc-1ea2-4e12-b9d8-1618374fb031","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-18T00:06:53.572392Z","strongest_claim":"The combination of Maxwell--Stefan diffusion and dynamic capillarity renders transport pseudo-parabolic, resolving the loss of strict hyperbolicity that plagues three-phase Buckley--Leverett and ensuring a well-posed initial-value problem.","one_line_summary":"A global-pressure formulation for multicomponent flow in fractured media incorporates dynamic capillarity and Maxwell-Stefan diffusion to produce pseudo-parabolic transport that resolves hyperbolicity loss in three-phase Buckley-Leverett models.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"That the added physics (dynamic capillarity, Maxwell-Stefan diffusion, inertial damping) can be incorporated while preserving an exact fractional-flow decomposition of phase velocities and a single global-pressure equation that drives the total Darcy flux.","pith_extraction_headline":"Maxwell-Stefan diffusion combined with dynamic capillarity makes multicomponent Buckley-Leverett transport pseudo-parabolic."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2511.06233/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}