{
  "abstract": "Reactive reservoir models must combine compositional flow, deformation, electrostatics, chemical reactions, and phase transformations without losing the thermodynamic origin of each term. This paper develops such a theory for multicomponent, multiphase porous media at finite deformation. Component mass conservation is first written on phase-attached material regions and then volume averaged, which separates molecular diffusion and mechanical dispersion from bulk phase motion. Mobile fluids and load-bearing multicomponent solids use the same phase/component variables. Solid composition can therefore change stress-free deformation, elasticity, plastic flow, and nonlinear Biot coupling. A fixed-pressure Legendre transform gives phase Biot coefficients at the current reacted state; an optional additive component specialization resolves those coefficients into component contributions. The derivation combines a constrained Hamilton-d'Alembert statement for the phase-coordinate balances with Onsager stationarity for dissipative saturation redistribution, reaction, and component-relative transport. Varying component material measures and phase Jacobians together produces the momentum carried by inserted mass and a generalized Darcy-like relative-flux law. The same calculation gives the composition restrictions, transfer-potential equations, and phase-transfer equilibrium conditions. Material-carried charge is tied directly to component mass. Traditional reaction affinities are sums of electrochemical potentials. Away from uniform temperature, charged transport instead keeps the temperature-weighted neutral-potential gradient separate from the electric field so that the force is independent of the arbitrary electric-potential level. The entropy inequality identifies admissible stress, pressure, reaction, drag, diffusion, dispersion, heat-transfer, and plastic-flow laws. A capillary-history state extends the interfacial energy to drainage-imbibition hysteresis, with its evolution restricted by the same dissipation inequality. An optional dynamic-capillary resistance relates the pressure lag to the skeleton-following saturation rate and supplies its d'Alembert work in the phase momentum balances. Standard compositional flow, black-oil flow, nonlinear poromechanics, and single-solid, single-fluid Biot theory follow as stated limits of the full solid-reference formulation.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "John T. Foster"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/49yzr4503yrm3.bib",
  "cited_by": 0,
  "doi": "10.31223/x5051h",
  "fulltext_url": null,
  "id": "49yzr4503yrm3",
  "issns": [],
  "landing_url": "https://eartharxiv.org/repository/view/15441/",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/legalcode",
  "metadata_licence": null,
  "native_subjects": [
    [
      "bepress",
      "Geophysics and Seismology"
    ],
    [
      "bepress",
      "Hydrology"
    ],
    [
      "bepress",
      "Petroleum Engineering"
    ],
    [
      "bepress",
      "multiphase flow"
    ],
    [
      "bepress",
      "poromechanics"
    ],
    [
      "bepress",
      "porous media"
    ],
    [
      "bepress",
      "reactive transport"
    ],
    [
      "bepress",
      "thermodynamics"
    ],
    [
      "openalex",
      "2206|Heat and Mass Transfer in Porous Media"
    ]
  ],
  "openalex": "W7221339370",
  "pdf_url": "https://eartharxiv.org/repository/object/15441/download/26770/",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-10",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/49yzr4503yrm3.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:42Z",
      "native_id": "15441",
      "source": "eartharxiv",
      "url": "https://eartharxiv.org/repository/view/15441/"
    }
  ],
  "subjects": [
    {
      "field": "earth",
      "origin": "bepress:Geophysics and Seismology",
      "subfield": "geophysics"
    },
    {
      "field": "earth",
      "origin": "bepress:Hydrology",
      "subfield": "hydrology-soils"
    },
    {
      "field": "physics",
      "origin": "bepress:thermodynamics",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "A thermodynamically consistent theory of multicomponent porous media: finite-deformation mechanics, compositional flow, electrostatics, reactions, and phase transformations",
  "title_text": "A thermodynamically consistent theory of multicomponent porous media: finite-deformation mechanics, compositional flow, electrostatics, reactions, and phase transformations",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:42Z",
  "url": "https://research.draconitic.com/paper/49yzr4503yrm3",
  "venue": "EarthArXiv",
  "versions": []
}