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¹//e|//ËZ]¶//z¸zf»Ì//v»{Z//³Z//§|//½{//¯µ|//»ÉY//] Z³¿Y|ÀËY§{[Z^ud¯uÁ|,¶Ì°e¹Ì¿Z°»Ê] mY» [1] [2] [3] [4] [5] [6] [7] [8] [9] [10] [11] [12] [13] [14] [15] [16] Kumar, R., Pooladi-Darvish, M., "Effect of Viscosity and Diffusion Coefficient on the Kinetics of Bubble Growth in Solution-Gas Drive in Heavy Oil", Journal of Canadian Petroleum Technology, Volume 40, No 3, (2001). Sheng, J. J., Maini, B. B., Hayes, R. E., Tortike,W. S., "Critical Review of Foamy Oil Flow", Transport in Porous Media , pp.5-23, (1999). Bora, R., Maini, B. B., "Flow Visualisation Studies of Solution Gas Drive Process In Heavy Oil Reservoirs Using a Glass Micromodel"; SPE 37519 Presented at the SPE International Thermal Operations and Heavy Oil Symposium, Bakersfield, CA, (1997). Kennedy, H. T., Olson, C. R., "Bubble Formation in Supersaturated Hydrocarbon Mixtures; Trans Transport in Porous Media, Vol. 195, pp. 271-278, (1952). Chatenever, A., Indra, M. K., Kyte, J. R., "Microscopic observations of solution gas drive behavior", Journal of Petroleum and Technology, pp. 13–15, (1959). .Schramm, L. L., Wassmuth, F., "Foams: Basic principles, Foams: Fundamentals and Applications in the Petroleum Industry", Advances in Chemistry Series 242, American Chemical Society, Washington, DC, pp. 3–46, (1994). Baibakov, N. K., Garushev, A. R., "Thermal Methods of Petroleum Production" , Developments in Petroleum Section 25, Translated by Cieslewicz, W. J., Elsevier Science Publishers B. V., pp. 6-21, (1989). Richardson, J. G., Kerver, J. K., Hafford, J. A., Osaba, J. S., "Laboratory Determination of Relative Permeability", Transport in Porous Media, Vol. 195, pp. 187-196, (1952). Fatt, J., Dykstera, H., "Relative Permeability Studies", Transport in Porous Media, Val. 192, pp. 249 - 256, (1951). Zhang, Y., "Temperature Effects on Foamy SolutionGas Drive", M. Sc. Thesis, University of Calgary, pp.830, (1999). Laird, A. D. K., Putnam, J. A., "Three Component Saturation in Porous Media by X-Ray Techniques", Transport in Porous Media, Vol. 216, pp. 216-220. (1959). Meyer, R. F., Attanasi , E. D., "Heavy Oil and Natural Bitumen-Strategic Petroleum Resource" ,U.S. Geogical Survey ,Fact Sheet, (2003). Firoozabadi, A., Ottesen, B., Mikkelson, M., "Measurements of super saturation and critical gas saturation", Society of Petroleum Engineers Journal, pp. 337–343, (1992). Li, X., Yortsos, Y. C., "Critical gas saturation: modeling and sensitivity studies", Paper SPE 26662 presented at the 68th SPE Annual Technical Conference and Exhibition, Houston , TX, Oct. 3–6, (1993). Oak, M. J., Baker, L. E., Thomas, D. C., "Three Phase Relative Permeability of Berea Sandstone", Journal of Petroleum Technology, pp. 1054-1061, (1990). Kalaydjian, F. J. M., "Dynamic Capillary Pressure Curve for Water/Oil Displacement in Porous Media: Theory Vs. Experiment", SPE 24813, presented at the 67th Annual Technical Conference and Exhibition of the SPE held in Washington, DC, October 4-7, (1992). ËYdveÁ¶»Z¯ÂÄ]|ËZ]cZËZ»M{ÂÊeÁZ¨f»lËZf¿ |ÀËMd|]Ë~aY°elËZf¿Ze|¿Â¹Zn¿YÄ]Z»0Ô»Z¯ ¾ËY]ZÀ]dYd^j»ÊËYÄfÅw¿,¾´¼ÅÊËY ÄfÅÄË¿{ ®/Ë{Z/§d§Y³YÊfuËZ»M¶uY»¹Z¼e{ÊËYÄfÅ {ÂÊ»Ã|ÅZ»,|Z]Ã{Zf§Y©Z¨eYÉY Äv·Ä¸u» ¾Ë|/ÀqYÊËZ/ÅÄf/{¶Ì°/eÄ/]¾/´¼ÅÊ/ËYÄfÅÈË¿ Y|/¬»¾ËYį|»Zn¿YÊ»¹Áf´¿M®ËÊ^ˬeZ Z]µÂ°·Â» Y|¬»¾ËYįdY|À»ZÌ¿Z]µ{Z »ÊfÌZ^Y©Â§Ä] d/YÊ/³]ZÌ/]{|ÊÅZ´ËZ»McY|ÅZ»Z]ÄËZ¬»{ ÁZ]|ÀqÃ{Á|v»{cZËZ»M{Ã|Ã|ÅZ»dÌZ^Y©Â§ |Z]Ê»Z] j¯Y|u ©Â/§YÉYÄ¿Zf/M|/¿YÂeÊ/¼¿¾/´¼Å/Ì£Ê/ËYÄfÅÉÂXe tÌ/Âed/YZ/Ì¿{»ÊËYÄfÅÁÉY]įYdÌZ^Y |/»Zn¿YÊ/»ÊËYÄfÅdÃ|ËYÄ]ÄË¿¾ËY¾ÌÀr¼Å|Å{ dY{Ze{[Z^u˵|»cY|ÅZ»Z]į Z /ÁÉË~/a}¨¿,ÊvÀe,ÉÁ¿Y³¶j»ÊËZÅf»YZa [Z/^u|/d/¾Ì/Ì e{ÊÆmÂe¶]Z«¬¿,[Z^uÄÌ·ÁY Á{Ä]|ÀÀ¯Ê»µfÀ¯Y[Z^u|įÊËZÅÁÌ¿|ÀÀ¯Ê»ÉZ] ÉZ§,ÊÀËYÉZÅÁÌ¿¶»ZÊ°Ì»ZÀË{Á|ÌÅÉZÅÁÌ¿Äf{ ,Ê/ÀËYÉZÅÁÌ¿|¿ÂÊ»ºÌ¬eÉ}¨¿ÉZÅ ÁÌ¿Á°ËÁÁ |/ÀÀ¯Ê/»®/¼¯|/Ä/]į|ÀfÅÊËZÅÁÌ¿}¨¿Á,ÉZ§ ĸX/»½ÂË°/Y{Â/Ê»|¿Z»Á¿Y³ÉÁ̿įʷZu{ Ê°Ì»ZÀË{Á|/ÌÅÉZ/ÅÁÌ¿Y½{¼¿¿¥Z]Y[Z^u| ®ËÉY]É}¨¿|ĸX»ÉY]ʸ̸ve¶u®ËÁ{¼¿½ZÌ] {¯ÄWYY¹mµZ¬f¿Yįv»ÉÁÌ¿Yz»Ç{Á|v» w¿Ä]0ZË«ÉZ³Ã|À¯YaÉZÅ[Z^u ½ZËm¶Ì°eÉY]ËY Z³ÉZÅ[Z^u³Y{Y{Ê´f]ZÅ[Z^ucmZÆ»ÁZ§Ä̸ze Z/m{cÂ/Ä]¬§ZŽM,|ÀÀ°¿cmZÆ»¶z¸zf»Ìv»{ ÄfÂÌaZ³Z§Ë¶Ì°e\m»|¿YÂeÊ»¾ËY|ÀÀ¯Ê»| Ìv»{cmZÆ»Ä]ÁZ³ÉZÅ[Z^u³YµZu¾ËYZ]{ Z/³ÉZ/Å [Z/^u,Äf/ÅMËY|/mĸÌ/ÁÄ],|ÀÀ¯¶z¸zf» Ã|/À¯YaÉZ/Å[Z/^u¾/ËYd/ËZÆ¿{||ÅYÂy{ZnËYÉfÌ] /]ÃÁÔ/|¿ÂÊ» {·M¦¯ÉZÅd¨¿{ÓZ]Ê]ZËZ]hZ]ÉZ³ /]|/¿YÂeÊ/»/Ì¿Z/»{,Z/Å[Z/^ucmZ/Æ»ÁZ§Ä̸zew¿ Iranian Chemical Engineering Journal – Vol. 13 – No. 77 (2015) {Y~´]iYÃ|Ã|À¯YaZ³ÉZÅ[Z^u [25] Maini, B. B., "Foamy oil flow", teaching notes at the workshop for the members of Petroleum Recovery Institute, April 27, (1994). [26] Firoozabadi, A., Kashchiev, D., "Pressure and volume evolution during gas phase formation in solution gas drive process, Society of Petroleum Engineers Journal , pp. 219–227, (1996). [27] Kraus, W. P., McCafftey, W. J., Boyd, G. W., "PseudoBubble Point Model for Foamy Oils", presented at the Annual Technical Conference of The Petroleum Society of CIM, Calgary, AB, May 9-12, (1993). [28] Geilkman, M. B., Dusseault, M. B., Dulwen, F. A. L., "Dynamic Effects of Foamy Fluid Flow In Sand Production Instability", SPE 30251 Presented at the International Heavy Oil Symposium held in Calgary, AB, Canada, June 19-21, (1995). [29] Rapoport, L. A., Leas, W. J., "Relative Permeabiliv to Liquid in Liquid Gas Systems", Transport in Porous Media, Vol. 192, pp. 83 - 98, (1951). [30] Pooladi – Darvish, M., Firoozabadi, A., "Solution-gas Drive in Heavy oil Reservoirs", Journal of Canadian Petroleum Technology, (1999). [31] Bora, R., "Cold production of heavy oil – an experimental investigation of foamy oil flow in porous media", PhD Dissertation, University of Calgary, Calgary, Canada, (1998). ºf¨ÅÁ {Zf¨ÅÃZ¼/ºÅ{̵Z/½YËYʼÌÊ|ÀÆ»ÄË¿ cÓZ¬» [17] Chardaire, C., "Simultaneous Estimation of Relative Permeabilities and Capillary Pressures", presented at the 64th Annual Technical Conference and Exhibition of the SPE held in San Antonio, TX, October 8- 11, (1989). [18] Odeh, A. S., "Effect of Viscosity Ratio on Relative Permeability", Transport in Porous Media, Vol.216, PP. 346-353, (1959). [19] Civan, F., Donaldson, E. C., "Relative Permeabilies from Unsteady-State Displacements: An Analytical Interpretation", SPE 16200, presented at the SPE Production Operations Symposium held in Oklahoma city, Oklahoma, March 8-10, (1987). [20] Claridge, E. L., Prats, M., "A proposed model and mechanism for anomalous foamy heavy oil behavior", Paper SPE 29243, Proc. Int. Heavy Oil Symp. Calgary, AB, pp. 9–20, (1995). [21] Dumore, J. M., "Development of Gas-Saturation during Solution-Gas Drive in an Oil Layer below a Gas Cap", Society of Petroleum Engineers Journal, pp. 211 - 218, September (1970). [22] Johnson, E. F., Bossler, D. P., Naumann, V. O., "Calculation of Relative Permeability from Displacement Experiments", Transport in Porous Media, Vol. 216, pp. 370-372, (1959). [23] Watson, A. T., Mchmond, P. C., Kerig, P. D., Tao, T. M., "A Regression- Based Method for Estimating Relative Permeabilities From Displacement Experiments", Society of Petroleum Engineers Journal, pp. 953-958, (1988). [24] Huerta, M., Otero, C., Rico, A., Jimenez, I., de Mirabal, M., Rojas, G., "Understanding Foamy Oil Mechanism for Heavy Oil Reservoirs During Primary Production", SPE 36749, Presented at the 71th SPE Annual Technical Conference and Exhibition, Denver, CO, October 6-9, (1996).
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