Numerical Modeling of Forchheimer's Equation to Describe Darcy and Non-Darcy Flow in Porous Media

SPE - Asia Pacific Oil and Gas Conference

Volumn , Issue , 2003, Pages 36-45

  Belhaj, H A ^a   Agha, K R ^a   Nouri, A M ^a   Butt, S D ^a   Vaziri, H H ^b   Islam, M R ^a  

^a DALHOUSIE UNIVERSITY   (Canada)

^b BP AMERICA INC   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPRESSIBILITY FACTOR; CONTINUITY EQUATION; DARCY COEFFICIENT;

BOUNDARY LAYERS; COMPUTER SIMULATION; CRUDE PETROLEUM; ENERGY DISSIPATION; EQUATIONS OF STATE; FLOW OF FLUIDS; NUMERICAL METHODS; PARTIAL DIFFERENTIAL EQUATIONS; PETROLEUM RESERVOIRS; POROSITY; POROUS MATERIALS; TURBULENCE; VISCOSITY;

PETROLEUM ENGINEERING;

EID: 0345789977     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (12)

1. Darcy, H.P.G., Les Fontaines Publiques de la Ville de Dijon, Exposition et Application des principes a Suivre et des Furmules a Employer dans les Questions de Distribution d'Eau, Victor Dalmont, Paris, (1856).
2. Forchheimer, P.: "Wasserbewewegung Durch Boden," ZVDI (1901), 45, 1781.
3. Li, D and Engler, T.W.: "Literature review on correlations of the non-Darcy coefficient," paper SPE 70015 presented at the SPE Permian Basin Oil and Gas Recovery Conference, Midland, Texas, 15-16 May 2001.
4. Brinkman, H.C.: "A calculation of viscous force exerted by a flowing fluid on a dense swarm of particles" Appl. Sci. Res. A, 1, 27-34, 1947.
5. Crichlow, H.B.: Modern Reservoir Engineering - A Simulation Approach, first edition, Prentice-Hall Inc., Englewood Cliffs, New Jersey, 49.
6. Narayanaswamy, G., Sharma, M.M. and Pope, G.A.: "Effect of Heterogeneity on the Non-Darcy Flow Coefficient," SPERE, 2, (3), 296-302, June, 1999.
7. Belhaj, H.A., Nouri, A., Agha, K.R., Butt, S.D. and Islam, M.R.: "Modeling of Matrix/Fracture Flow in Sandstone Reservoirs: Experimental Approach," PAPG-SPE Annual Technical Conference, Islamabad, Pakistan, 2-4 November 2002.
8. Wolfsteiner, C., Durlofsky, L.J. and Aziz, K.: "An Approximate Model for the Productivity of Non-Conventional Wells in Heterogeneous Reservoirs" paper SPE 56754 presented at the 1999 SPE Annual Technical Conference and Exhibition, Houston, Texas, 3-6 October 1999.
9. Patankar, S.V.: Numerical Heat Transfer and Fluid Flow, McGraw-Hill, (1980).
10. Kobayashi, M.H. and Pereira, J.C.F.: "A Comparison of Second Order Convection Discretization Schemes for Incompressible Fluid Flow," Communication in Numerical Methods, 12, (7), 395-411, July 1996.
11. Barakat, H.Z and Clark, J.A.: "On the Solution of the Diffusion Equation by Numerical Methods," Journal of Heat Transfer, (November 1966), 421-427.
12. Press, W.H.: Numerical Recipes in Fortran 90: The Art of Parallel Scientific Computing, second edition, Cambridge University Press, (1996), 334.