Mathematical Model of One-dimensional Miscible Fluid Injection in Fractured Porous Media

A mathematical model for miscible displacement in fractured porous media is developed. The model takes into account advective, gravitational and crossflow mechanisms of mass exchange between fracture and matrix. The model is normalized by using the dimensionless parameters which characterize the pro...

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Published inJournal of the Japan Petroleum Institute Vol. 46; no. 6; pp. 396 - 400
Main Authors JAMSHIDNEZHAD, M., MONTAZER-RAHMATI, M. M., SAJJADIAN, V. A.
Format Journal Article
LanguageEnglish
Published Tokyo The Japan Petroleum Institute 01.11.2003
Sekiyu Gakkai
Japan Science and Technology Agency
Subjects
Advection mass transfer
Applied sciences
Crude oil, natural gas and petroleum products
Crude oil, natural gas, oil shales producing equipements and methods
Energy
Enhanced oil recovery methods
Exact sciences and technology
Fractured porous media
Fuels
Mathematical modeling
Method of characteristics
Miscible displacement
Porous media
Prospecting and production of crude oil, natural gas, oil shales and tar sands
Advection
Fractured reservoir
Miscible displacement
Enhanced recovery
Porous medium
Fluid injection
Mathematical model
Mass transfer
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Abstract A mathematical model for miscible displacement in fractured porous media is developed. The model takes into account advective, gravitational and crossflow mechanisms of mass exchange between fracture and matrix. The model is normalized by using the dimensionless parameters which characterize the process, and the analytical solutions of the resulting system of equations are provided by utilizing the method of characteristics. The model developed has been compared with experimental results and with previous model, which includes only crossflow between fracture and matrix. There is very good agreement between experiments and this model prediction.
AbstractList A mathematical model for miscible displacement in fractured porous media is developed. The model takes into account advective, gravitational and crossflow mechanisms of mass exchange between fracture and matrix. The model is normalized by using the dimensionless parameters which characterize the process, and the analytical solutions of the resulting system of equations are provided by utilizing the method of characteristics. The model developed has been compared with experimental results and with previous model, which includes only crossflow between fracture and matrix. There is very good agreement between experiments and this model prediction.
Author JAMSHIDNEZHAD, M.
MONTAZER-RAHMATI, M. M.
SAJJADIAN, V. A.
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Issue 6
Keywords Advection
Fractured reservoir
Miscible displacement
Enhanced recovery
Porous medium
Fluid injection
Mathematical model
Mass transfer
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References_xml – reference: 12) Kythe, P. K., Puri, P., Schaferkotter, M. R. “Partial Differential Equations and Boundary Value Problems with Mathematica,” Second Edition, CRC, USA (2003).
– reference: 1) Saidi, A. M., “Reservoir Engineering of Fractured Reservoirs,” Total Edition Press, Paris (1987).
– reference: 2) Correa, A. C., Panda, K. K., Ramey, H. J., Brigham, J. SPEREJ, 5, 61 (1990).
– reference: 11) Bedrikovetsky, P. G., Evtjukhin, A., SPE Petroleum Conference, Milano, Italy, Oct. (1996) 22-24 SPE36131.
– reference: 7) Thompson, J. L., Mungan, N., SPEJ, 247 (1969).
– reference: 5) Basniev, K., Bedrikovetsky, P. G., Sixth European IOR Symposium, Stavanger, Norway, April (1991).
– reference: 6) Zakirov, S. N., Shandrygin, A. N., Segin, T. N., 66th Annual Technical Conference and Exhibition of the SPE, Dallas, Oct. (1991), SPE 22942.
– reference: 8) Tan, C. T., Firoozabadi, A., JCPT, 34, 179 (1995).
– reference: 3) Arya, A., Hewett, T. A., Larson, R. G., Lake, L. K., SPEREJ, 3, 139 (1988).
– reference: 9) Firoozabadi, A., JCPT, 39, 13 (2000).
– reference: 4) Bedrikovetsky, P. G., Istomin, G. D., Knyazeva, M. B., MediaIzvestiya Akademic Nauk SSSR, 6, 100 (1989).
– reference: 10) Grigorievich, B. P., Archer, J. S., SPE International Symposium on Oilfield New Orleans, LA, USA, March2-5 (1993), SPE25201.
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SubjectTerms Advection mass transfer
Applied sciences
Crude oil, natural gas and petroleum products
Crude oil, natural gas, oil shales producing equipements and methods
Energy
Enhanced oil recovery methods
Exact sciences and technology
Fractured porous media
Fuels
Mathematical modeling
Method of characteristics
Miscible displacement
Porous media
Prospecting and production of crude oil, natural gas, oil shales and tar sands
Title Mathematical Model of One-dimensional Miscible Fluid Injection in Fractured Porous Media
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