A comprehensive numerical simulation model for non-darcy flow including viscous, inertial and convective contributions

Society of Petroleum Engineers - Nigeria Annual International Conference and Exhibition 2003, NAICE 2003

Volumn , Issue , 2003, Pages

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

^a DALHOUSIE UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

FLOW VELOCITY; FORECASTING; NAVIER STOKES EQUATIONS; NUMERICAL MODELS; PETROLEUM RESERVOIR ENGINEERING; PETROLEUM RESERVOIRS; POROUS MATERIALS; PRESSURE GRADIENT;

COMPREHENSIVE MODEL; FLUID FLOW IN POROUS MEDIA; MODEL PREDICTION; POINT OF DEPARTURES; RESERVOIR SIMULATION; TRADITIONAL MODELS; VELOCITY PREDICTION; VELOCITY PROFILES;

FLOW OF FLUIDS;

EID: 85086056942     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2118/85678-ms     Document Type: Conference Paper

References (16)

1. H.P.G. Darcy "Les Fontaines Publiques de villle de Dijon, Exposition et Application des Pricipes a Suivre et des Furmules a Emplyer dans les Questions de Distribution d'Eau" Victor Dalmont, Paris, 1856.
2. P. Forchheimer "Wasserbewegung durch Boden, " ZVDI, 45, pp. 1781, 1901.
3. Li D. and Engler, T.W.: "Literature review on correlations of the non-Darcy coefficient" paper SPE 70015 presented at the Permian Basin Oil and Gas Recovery Conference, Midland, Texas, 15-16 May, 2001.
4. Brinkman, H.C. "A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles" Appl. Sci. Res. A, 1, pp. 27-34, 1947.
5. Lundgren, T.S. "Slow flow through stationary random array of spheres" Journal of Fluid Mechnics, 51, pp. 273-299, 1972.
6. Koplik, J. and Levine, H. "Viscosity renormalization in the Brinkman equation" Phys. Fluids, 26, pp. 2864-2870, 1983.
7. Kim, S. and Russel, W.B. "Modelling of porous media by renormalization of Stokes equations" Journal of Fluid Mechanics, 154, pp. 269-286, 1985.
8. Durlofsky, L. and Brady, J.F. "Analysis of Brinkman equation as for flow in porous media" Phys. Fluids, 30, pp. 3329-3341, 1987.
9. Neale, G., Epstein, N. and Nader, W. "Creeping flow relative to permeable spheres" Chemical Engineering Science, 28, pp. 1865-1874, 1973.
10. Joseph, D.D. and Tao, L.N. "Lubrication of a Porous Bearing-Stokes Solution" ASME J. Appl. Mech., 88, 753-760, 1966.
11. Sahroui, M. and Kaviany, M. "Slip and no-Slip Velocity boundary Conditions at Interface of Porous, Plain Media" Int. J. Heat Mass Transfer, 35, 927-943, 1992.
12. Belhaj, H.A., Agha, K.R, Nouri, A.M., Butt, S.D., Vaziri, H.F. and Islam, M.R. "Numerical Simulation of Non-Darcy Flow Utilizing the New Forchheimer's Diffusivity Equation" paper SPE 81499, proc., Middle East Oil Show, Bahrain, April 5-8, 2003.
13. Patankar, S.V. "Numerical Heat Transfer and Fluid Flow" McGraw-Hill, 1980.
14. 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.
15. Jones, S.C. "Using the Inertial Coefficient to Characterize Heterogeneity in Reservoir Rock" paper SPE 16949 presented at the 62β nd Annual Conference and Exhibition of the SPE, Dallas, TX, 27-30 September, 1987.
16. Gil, J.A. and Raghavan, R. "Fractured-Well-Test Design and Analysis in the Presence of Non-Darcy Flow" paper SPE 71573 presented at the 2001 SPE Annual Conference and Exhibition, New Orleans, Louisiana, 30 Sepetember-3 October, 2001.