Two phase flow including interfacial area as a variable

H. F. Nordhaug; H. K. Dahle; M. S. Espedal; W. G. Gray; M. A. Celia

Two phase flow including interfacial area as a variable

H. F. Nordhaug
, H. K. Dahle
, M. S. Espedal
, W. G. Gray
, M. A. Celia

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

Based on the procedure of (Gray and Hassanizadeh 1998) we state macroscale conservation equations for multi phase flow in porous media including interfacial area as a variable. The phases we consider are a solid phase, a wetting phase and a non-wetting phase. Some modeling work is done to decide the functionality of the coefficients in the equations. In particular we construct constitutive relationships for the interfacial area as a function of saturation and capillary pressure, and the resistance terms. The final set of equations is reduced to a 2 x 2 system with the saturation and the interfacial area as independent variables. Some preliminary numerical experiments are reported.

Original language	English (US)
Title of host publication	Computational methods in water resources - Volume 1 - Computational methods for subsurface flow and transport
Editors	L.R. Bentley, J.F. Sykes, C.A. Brebbia, W.G. Gray, G.F. Pinder, L.R. Bentley, J.F. Sykes, C.A. Brebbia, W.G. Gray, G.F. Pinder
Publisher	A.A. Balkema
Pages	231-238
Number of pages	8
ISBN (Print)	9058091244
State	Published - 2000
Externally published	Yes
Event	Computational Methods in Water Resources XIII - Calgary, Canada Duration: Jun 25 2000 → Jun 29 2000

Other

Other	Computational Methods in Water Resources XIII
Country/Territory	Canada
City	Calgary
Period	6/25/00 → 6/29/00

All Science Journal Classification (ASJC) codes

General Earth and Planetary Sciences
General Engineering
General Environmental Science

Cite this

Nordhaug, H. F., Dahle, H. K., Espedal, M. S., Gray, W. G., & Celia, M. A. (2000). Two phase flow including interfacial area as a variable. In L. R. Bentley, J. F. Sykes, C. A. Brebbia, W. G. Gray, G. F. Pinder, L. R. Bentley, J. F. Sykes, C. A. Brebbia, W. G. Gray, & G. F. Pinder (Eds.), Computational methods in water resources - Volume 1 - Computational methods for subsurface flow and transport (pp. 231-238). A.A. Balkema.

Nordhaug, H. F. ; Dahle, H. K. ; Espedal, M. S. et al. / Two phase flow including interfacial area as a variable. Computational methods in water resources - Volume 1 - Computational methods for subsurface flow and transport. editor / L.R. Bentley ; J.F. Sykes ; C.A. Brebbia ; W.G. Gray ; G.F. Pinder ; L.R. Bentley ; J.F. Sykes ; C.A. Brebbia ; W.G. Gray ; G.F. Pinder. A.A. Balkema, 2000. pp. 231-238

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title = "Two phase flow including interfacial area as a variable",

abstract = "Based on the procedure of (Gray and Hassanizadeh 1998) we state macroscale conservation equations for multi phase flow in porous media including interfacial area as a variable. The phases we consider are a solid phase, a wetting phase and a non-wetting phase. Some modeling work is done to decide the functionality of the coefficients in the equations. In particular we construct constitutive relationships for the interfacial area as a function of saturation and capillary pressure, and the resistance terms. The final set of equations is reduced to a 2 x 2 system with the saturation and the interfacial area as independent variables. Some preliminary numerical experiments are reported.",

author = "Nordhaug, \{H. F.\} and Dahle, \{H. K.\} and Espedal, \{M. S.\} and Gray, \{W. G.\} and Celia, \{M. A.\}",

year = "2000",

language = "English (US)",

isbn = "9058091244",

pages = "231--238",

editor = "L.R. Bentley and J.F. Sykes and C.A. Brebbia and W.G. Gray and G.F. Pinder and L.R. Bentley and J.F. Sykes and C.A. Brebbia and W.G. Gray and G.F. Pinder",

booktitle = "Computational methods in water resources - Volume 1 - Computational methods for subsurface flow and transport",

publisher = "A.A. Balkema",

address = "Netherlands",

note = "Computational Methods in Water Resources XIII ; Conference date: 25-06-2000 Through 29-06-2000",

}

Nordhaug, HF, Dahle, HK, Espedal, MS, Gray, WG & Celia, MA 2000, Two phase flow including interfacial area as a variable. in LR Bentley, JF Sykes, CA Brebbia, WG Gray, GF Pinder, LR Bentley, JF Sykes, CA Brebbia, WG Gray & GF Pinder (eds), Computational methods in water resources - Volume 1 - Computational methods for subsurface flow and transport. A.A. Balkema, pp. 231-238, Computational Methods in Water Resources XIII, Calgary, Canada, 6/25/00.

Two phase flow including interfacial area as a variable. / Nordhaug, H. F.; Dahle, H. K.; Espedal, M. S. et al.
Computational methods in water resources - Volume 1 - Computational methods for subsurface flow and transport. ed. / L.R. Bentley; J.F. Sykes; C.A. Brebbia; W.G. Gray; G.F. Pinder; L.R. Bentley; J.F. Sykes; C.A. Brebbia; W.G. Gray; G.F. Pinder. A.A. Balkema, 2000. p. 231-238.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Two phase flow including interfacial area as a variable

AU - Nordhaug, H. F.

AU - Dahle, H. K.

AU - Espedal, M. S.

AU - Gray, W. G.

AU - Celia, M. A.

PY - 2000

Y1 - 2000

N2 - Based on the procedure of (Gray and Hassanizadeh 1998) we state macroscale conservation equations for multi phase flow in porous media including interfacial area as a variable. The phases we consider are a solid phase, a wetting phase and a non-wetting phase. Some modeling work is done to decide the functionality of the coefficients in the equations. In particular we construct constitutive relationships for the interfacial area as a function of saturation and capillary pressure, and the resistance terms. The final set of equations is reduced to a 2 x 2 system with the saturation and the interfacial area as independent variables. Some preliminary numerical experiments are reported.

AB - Based on the procedure of (Gray and Hassanizadeh 1998) we state macroscale conservation equations for multi phase flow in porous media including interfacial area as a variable. The phases we consider are a solid phase, a wetting phase and a non-wetting phase. Some modeling work is done to decide the functionality of the coefficients in the equations. In particular we construct constitutive relationships for the interfacial area as a function of saturation and capillary pressure, and the resistance terms. The final set of equations is reduced to a 2 x 2 system with the saturation and the interfacial area as independent variables. Some preliminary numerical experiments are reported.

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M3 - Conference contribution

AN - SCOPUS:0033668810

SN - 9058091244

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EP - 238

BT - Computational methods in water resources - Volume 1 - Computational methods for subsurface flow and transport

A2 - Bentley, L.R.

A2 - Sykes, J.F.

A2 - Brebbia, C.A.

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A2 - Pinder, G.F.

A2 - Bentley, L.R.

A2 - Sykes, J.F.

A2 - Brebbia, C.A.

A2 - Gray, W.G.

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PB - A.A. Balkema

T2 - Computational Methods in Water Resources XIII

Y2 - 25 June 2000 through 29 June 2000

ER -

Nordhaug HF, Dahle HK, Espedal MS, Gray WG, Celia MA. Two phase flow including interfacial area as a variable. In Bentley LR, Sykes JF, Brebbia CA, Gray WG, Pinder GF, Bentley LR, Sykes JF, Brebbia CA, Gray WG, Pinder GF, editors, Computational methods in water resources - Volume 1 - Computational methods for subsurface flow and transport. A.A. Balkema. 2000. p. 231-238

Two phase flow including interfacial area as a variable

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All Science Journal Classification (ASJC) codes

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