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Mathematical theory of two-phase geochemical flow with chemical species

Conference Paper (2018)
Author(s)

W. J. Lambert (ICT-UNIFAL)

A. C. Alvarez (Instituto Nacional de Matemática Pura e Aplicada - IMPA)

D. Marchesin (Instituto Nacional de Matemática Pura e Aplicada - IMPA)

J. Bruining (TU Delft - Civil Engineering & Geosciences)

Research Group
Reservoir Engineering
DOI related publication
https://doi.org/10.1007/978-3-319-91548-7_20 Final published version
More Info
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Publication Year
2018
Language
English
Research Group
Reservoir Engineering
Volume number
237
Pages (from-to)
255-267
ISBN (print)
978-3-319-91547-0
ISBN (electronic)
978-3-319-91548-7
Event
16th International Conference on Hyperbolic Problems: Theory, Numerics and Applications, 2016 (2016-08-01 - 2016-08-05), Aachen, Germany
Downloads counter
89

Abstract

In this work, we introduce a formalism for two-phase geochemical flow. Here, we admit that the chemical species flow in both phases. Moreover, we consider chemical interaction and chemical equilibrium laws for which it is possible to obtain algebraic relationships between the chemical species. In this work, we consider that we have only one free chemical species, i.e., by using equilibrium laws, we admit that all chemical species can be written as function of only one, which we denote as y. We present a formalism for this kind of flow, moreover, we obtain the eigenvalues, eigenvectors, and bifurcations structures. We also show the structure of integral and Hugoniot curves in the saturation versus chemical species plane.