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

• Leonardo Di G. Sigalotti
• Eloy Sira
• Leonardo Trujillo
• Jaime Klapp
Conference paper
Part of the Environmental Science and Engineering book series (ESE)

## 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.

## Keywords

Porous Medium Capillary Pressure Relative Permeability Fluid Phase Multiphase Flow
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

## Notes

### 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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© Springer International Publishing Switzerland 2015

## Authors and Affiliations

• Leonardo Di G. Sigalotti
• 1
• 3
• Eloy Sira
• 2
Email author
• Leonardo Trujillo
• 2
• Jaime Klapp
• 4
• 5
1. 1.Departamento de Ciencias BásicasUniversidad Autónoma Metropolitana-AzcapotzalcoMéxicoMexico
2. 2.Centro de FísicaInstituto Venezolano de Investigaciones Científicas, IVICCaracasVenezuela
3. 3.Instituto Venezolano de Investigaciones Científicas, IVICCaracasVenezuela
4. 4.Instituto Nacional de Investigaciones Nucleares, ININOcoyoacacMexico
5. 5.Departamento de MatemáticasCinvestav del I.P.N.MéxicoMexico