Mathematical theory of two-phase geochemical flow with chemical species

Conference paper (2018)

Authors

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 Reservoir Engineering -

Research Group

Reservoir Engineering () (TU Delft)

Enhanced oil recovery General structure for shocks Geochemical flow Rarefactions and bifurcation loci

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Published Date

01-01-2018

Language

English

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Faculty

Civil Engineering & Geosciences

Department

Geoscience and Engineering

Research Group

Reservoir Engineering

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.

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