Mathematical theory of two-phase geochemical flow with chemical species

W. J. Lambert; A. C. Alvarez; D. Marchesin; J. Bruining

doi:10.1007/978-3-319-91548-7_20

Mathematical theory of two-phase geochemical flow with chemical species

W. J. Lambert^*, A. C. Alvarez, D. Marchesin, J. Bruining

^*Corresponding author for this work

Reservoir Engineering

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

1 Citation (Scopus)

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.

Original language	English
Title of host publication	Theory, Numerics and Applications of Hyperbolic Problems II
Subtitle of host publication	Aachen, Germany, August 2016
Editors	Christian Klingenberg, Michael Westdickenberg
Pages	255-267
Volume	237
ISBN (Electronic)	978-3-319-91548-7
DOIs	https://doi.org/10.1007/978-3-319-91548-7_20
Publication status	Published - 1 Jan 2018
Event	16th International Conference on Hyperbolic Problems: Theory, Numerics and Applications, 2016 - Aachen, Germany Duration: 1 Aug 2016 → 5 Aug 2016

Conference

Conference	16th International Conference on Hyperbolic Problems: Theory, Numerics and Applications, 2016
Country/Territory	Germany
City	Aachen
Period	1/08/16 → 5/08/16

Keywords

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

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10.1007/978-3-319-91548-7_20

Cite this

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title = "Mathematical theory of two-phase geochemical flow with chemical species",

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.",

keywords = "Enhanced oil recovery General structure for shocks, Geochemical flow, Rarefactions and bifurcation loci",

author = "Lambert, {W. J.} and Alvarez, {A. C.} and D. Marchesin and J. Bruining",

year = "2018",

month = jan,

day = "1",

doi = "10.1007/978-3-319-91548-7_20",

language = "English",

isbn = "978-3-319-91547-0",

volume = "237",

pages = "255--267",

editor = "Christian Klingenberg and Michael Westdickenberg",

booktitle = "Theory, Numerics and Applications of Hyperbolic Problems II",

note = "16th International Conference on Hyperbolic Problems: Theory, Numerics and Applications, 2016 ; Conference date: 01-08-2016 Through 05-08-2016",

}

Lambert, WJ, Alvarez, AC, Marchesin, D & Bruining, J 2018, Mathematical theory of two-phase geochemical flow with chemical species. in C Klingenberg & M Westdickenberg (eds), Theory, Numerics and Applications of Hyperbolic Problems II: Aachen, Germany, August 2016. vol. 237, pp. 255-267, 16th International Conference on Hyperbolic Problems: Theory, Numerics and Applications, 2016, Aachen, Germany, 1/08/16. https://doi.org/10.1007/978-3-319-91548-7_20

Mathematical theory of two-phase geochemical flow with chemical species. / Lambert, W. J.; Alvarez, A. C.; Marchesin, D. et al.
Theory, Numerics and Applications of Hyperbolic Problems II: Aachen, Germany, August 2016. ed. / Christian Klingenberg; Michael Westdickenberg. Vol. 237 2018. p. 255-267.

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

TY - GEN

T1 - Mathematical theory of two-phase geochemical flow with chemical species

AU - Lambert, W. J.

AU - Alvarez, A. C.

AU - Marchesin, D.

AU - Bruining, J.

PY - 2018/1/1

Y1 - 2018/1/1

N2 - 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.

AB - 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.

KW - Enhanced oil recovery General structure for shocks

KW - Geochemical flow

KW - Rarefactions and bifurcation loci

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DO - 10.1007/978-3-319-91548-7_20

M3 - Conference contribution

AN - SCOPUS:85049440504

SN - 978-3-319-91547-0

VL - 237

SP - 255

EP - 267

BT - Theory, Numerics and Applications of Hyperbolic Problems II

A2 - Klingenberg, Christian

A2 - Westdickenberg, Michael

T2 - 16th International Conference on Hyperbolic Problems: Theory, Numerics and Applications, 2016

Y2 - 1 August 2016 through 5 August 2016

ER -

Mathematical theory of two-phase geochemical flow with chemical species

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