Environmental Engineering Reference
In-Depth Information
Compositional Flow in Fractured
Porous Media: Mathematical Background
and Basic Physics
Leonardo Di G. Sigalotti, Eloy Sira, Leonardo Trujillo and Jaime Klapp
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 porousmedia. Thismodel 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
fracturedmedia, including dual-, triple-, andmultiple-continuum conceptual models.
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