A numerical scheme for the pore scale simulation of crystal dissolution and precipitation in porous media

I.S. Pop; V.M. Devigne; C.J. Duijn, van; T. Clopeau

doi:10.1007/978-3-540-34288-5_30

A numerical scheme for the pore scale simulation of crystal dissolution and precipitation in porous media

I.S. Pop
, V.M. Devigne
, C.J. Duijn, van
, T. Clopeau

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

Abstract

In this paper we discuss numerical method for a pore scale model for precipitation and dissolution in porous media.We focus here on the chemistry, which is modeled by a parabolic problem that is coupled through the boundary conditions to an ordinary differential inclusion. A semi-implicit time stepping is combined with a regularization approach to construct a stable and convergent numerical scheme. For dealing with the emerging time discrete nonlinear problems we propose here a simple fixed point iterative procedure.

Original language	English
Title of host publication	Numerical Mathematics and Advanced Applications (Proceedings 6th European Conference, Enumath2005, Santiago de Compostella, Spain, July 18-22, 2005)
Editors	A. Bermúdez de Castro, D. Gómez, P. Quintela, P. Salgado
Place of Publication	Berlin
Publisher	Springer
Pages	362-370
ISBN (Print)	3-540-34287-7
DOIs	https://doi.org/10.1007/978-3-540-34288-5_30
Publication status	Published - 2006

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10.1007/978-3-540-34288-5_30

Cite this

Pop, I. S., Devigne, V. M., Duijn, van, C. J., & Clopeau, T. (2006). A numerical scheme for the pore scale simulation of crystal dissolution and precipitation in porous media. In A. Bermúdez de Castro, D. Gómez, P. Quintela, & P. Salgado (Eds.), Numerical Mathematics and Advanced Applications (Proceedings 6th European Conference, Enumath2005, Santiago de Compostella, Spain, July 18-22, 2005) (pp. 362-370). Springer. https://doi.org/10.1007/978-3-540-34288-5_30

Pop, I.S. ; Devigne, V.M. ; Duijn, van, C.J. et al. / A numerical scheme for the pore scale simulation of crystal dissolution and precipitation in porous media. Numerical Mathematics and Advanced Applications (Proceedings 6th European Conference, Enumath2005, Santiago de Compostella, Spain, July 18-22, 2005). editor / A. Bermúdez de Castro ; D. Gómez ; P. Quintela ; P. Salgado. Berlin : Springer, 2006. pp. 362-370

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title = "A numerical scheme for the pore scale simulation of crystal dissolution and precipitation in porous media",

abstract = "In this paper we discuss numerical method for a pore scale model for precipitation and dissolution in porous media.We focus here on the chemistry, which is modeled by a parabolic problem that is coupled through the boundary conditions to an ordinary differential inclusion. A semi-implicit time stepping is combined with a regularization approach to construct a stable and convergent numerical scheme. For dealing with the emerging time discrete nonlinear problems we propose here a simple fixed point iterative procedure.",

author = "I.S. Pop and V.M. Devigne and \{Duijn, van\}, C.J. and T. Clopeau",

year = "2006",

doi = "10.1007/978-3-540-34288-5\_30",

language = "English",

isbn = "3-540-34287-7",

pages = "362--370",

editor = "\{Berm{\'u}dez de Castro\}, A. and D. G{\'o}mez and P. Quintela and P. Salgado",

booktitle = "Numerical Mathematics and Advanced Applications (Proceedings 6th European Conference, Enumath2005, Santiago de Compostella, Spain, July 18-22, 2005)",

publisher = "Springer",

address = "Germany",

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Pop, IS, Devigne, VM, Duijn, van, CJ & Clopeau, T 2006, A numerical scheme for the pore scale simulation of crystal dissolution and precipitation in porous media. in A Bermúdez de Castro, D Gómez, P Quintela & P Salgado (eds), Numerical Mathematics and Advanced Applications (Proceedings 6th European Conference, Enumath2005, Santiago de Compostella, Spain, July 18-22, 2005). Springer, Berlin, pp. 362-370. https://doi.org/10.1007/978-3-540-34288-5_30

A numerical scheme for the pore scale simulation of crystal dissolution and precipitation in porous media. / Pop, I.S.; Devigne, V.M.; Duijn, van, C.J. et al.
Numerical Mathematics and Advanced Applications (Proceedings 6th European Conference, Enumath2005, Santiago de Compostella, Spain, July 18-22, 2005). ed. / A. Bermúdez de Castro; D. Gómez; P. Quintela; P. Salgado. Berlin: Springer, 2006. p. 362-370.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - A numerical scheme for the pore scale simulation of crystal dissolution and precipitation in porous media

AU - Pop, I.S.

AU - Devigne, V.M.

AU - Duijn, van, C.J.

AU - Clopeau, T.

PY - 2006

Y1 - 2006

N2 - In this paper we discuss numerical method for a pore scale model for precipitation and dissolution in porous media.We focus here on the chemistry, which is modeled by a parabolic problem that is coupled through the boundary conditions to an ordinary differential inclusion. A semi-implicit time stepping is combined with a regularization approach to construct a stable and convergent numerical scheme. For dealing with the emerging time discrete nonlinear problems we propose here a simple fixed point iterative procedure.

AB - In this paper we discuss numerical method for a pore scale model for precipitation and dissolution in porous media.We focus here on the chemistry, which is modeled by a parabolic problem that is coupled through the boundary conditions to an ordinary differential inclusion. A semi-implicit time stepping is combined with a regularization approach to construct a stable and convergent numerical scheme. For dealing with the emerging time discrete nonlinear problems we propose here a simple fixed point iterative procedure.

U2 - 10.1007/978-3-540-34288-5_30

DO - 10.1007/978-3-540-34288-5_30

M3 - Conference contribution

SN - 3-540-34287-7

SP - 362

EP - 370

BT - Numerical Mathematics and Advanced Applications (Proceedings 6th European Conference, Enumath2005, Santiago de Compostella, Spain, July 18-22, 2005)

A2 - Bermúdez de Castro, A.

A2 - Gómez, D.

A2 - Quintela, P.

A2 - Salgado, P.

PB - Springer

CY - Berlin

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Pop IS, Devigne VM, Duijn, van CJ, Clopeau T. A numerical scheme for the pore scale simulation of crystal dissolution and precipitation in porous media. In Bermúdez de Castro A, Gómez D, Quintela P, Salgado P, editors, Numerical Mathematics and Advanced Applications (Proceedings 6th European Conference, Enumath2005, Santiago de Compostella, Spain, July 18-22, 2005). Berlin: Springer. 2006. p. 362-370 doi: 10.1007/978-3-540-34288-5_30

A numerical scheme for the pore scale simulation of crystal dissolution and precipitation in porous media

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