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Selected Topics of Computational and Experimental Fluid Mechanics pp 3–36Cite as

Compositional Flow in Fractured Porous Media: Mathematical Background and Basic Physics

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Part of the book series: Environmental Science and Engineering ((ENVSCIENCE))

Abstract

This chapter presents an overview of the equations describing the flow of multiphase and multicomponent fluids through fractured and unfractured porous media using the framework of continuum mixture theory. The model equations and constraint relationships are described by steps of increasing level of complexity. We first describe the governing equations for multiphase flow in both undeformable and deformable porous media. This model is extended to include the transport of chemical species by first describing the flow of a multicomponent, single-phase fluid and then of a compositional (multiphase and multicomponent) fluid in a porous medium. Finally, the equations governing the flow of compositional fluids in fractured porous media are described. The proposed methodology is suitable for modelling any type of fractured media, including dual-, triple-, and multiple-continuum conceptual models.

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Acknowledgments

This work has been partially supported by the Consejo Nacional de Ciencia y Tecnología of Mexico (CONACyT) under the project CONACyT-EDOMEX-2011-C01-165873.

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Authors and Affiliations

  1. Departamento de Ciencias Básicas, Universidad Autónoma Metropolitana-Azcapotzalco, Av. San Pablo 180, Delegación Azcapotzalco, 02200, México, D.F., Mexico

    Leonardo Di G. Sigalotti

  2. Centro de Física, Instituto Venezolano de Investigaciones Científicas, IVIC, Apartado Postal 20632, Caracas, 1020-A, Venezuela

    Eloy Sira & Leonardo Trujillo

  3. Instituto Venezolano de Investigaciones Científicas, IVIC, Apartado Postal 20632, Caracas, 1020-A, Venezuela

    Leonardo Di G. Sigalotti

  4. Instituto Nacional de Investigaciones Nucleares, ININ, Km. 36.5, Carretera México-Toluca, La Marquesa 52750, Ocoyoacac, Estado de México, Mexico

    Jaime Klapp

  5. Departamento de Matemáticas, Cinvestav del I.P.N., 07360, México, D.F., Mexico

    Jaime Klapp

Authors
  1. Leonardo Di G. Sigalotti
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  2. Eloy Sira
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  3. Leonardo Trujillo
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  4. Jaime Klapp
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Corresponding author

Correspondence to Eloy Sira .

Editor information

Editors and Affiliations

  1. Física, Cinvestav-Abacus, Mexico and Instituto Nacional de Investigaciones Nucleares, Ocoyoacac, Mexico

    Jaime Klapp

  2. Facultad de Ciencias, National Autonomous University of Mexico, Mexico D.F., Mexico

    Gerardo Ruíz Chavarría

  3. SEPI ESIME Azcapotzalco, National Polytechnic Institute, Mexico D.F., Mexico

    Abraham Medina Ovando

  4. SEPI ESIME Azcapotzalco, National Polytechnic Institute, Mexico D.F., Mexico

    Abel López Villa

  5. Instituto Venezolano de Investigaciones Científicas (IVIC), Caracas, Venezuela

    Leonardo Di G. Sigalotti

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Di G. Sigalotti, L., Sira, E., Trujillo, L., Klapp, J. (2015). Compositional Flow in Fractured Porous Media: Mathematical Background and Basic Physics. In: Klapp, J., Ruíz Chavarría, G., Medina Ovando, A., López Villa, A., Sigalotti, L. (eds) Selected Topics of Computational and Experimental Fluid Mechanics. Environmental Science and Engineering(). Springer, Cham. https://doi.org/10.1007/978-3-319-11487-3_1

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