Applications of response surface methodology and Box-Behnken design to optimise fracture treatment design for Lower Miocene reservoirs, Bach Ho field
Abstract
The paper presents the results of application of the response surface method and the Box-Behnken design of experiments to investigate the influence of hydraulic fracturing parameters on the economic performance after fracture treatment in the Lower Miocene reservoirs of Bach Ho field. The four parameters comprising viscosity of fracturing fluid, pump rate, proppant concentration, and fracture length are optimised by maximising net present value (NPV). The NPV is calculated based on the cumulative oil production at the post fractured and the based case under transient flow behaviour for a three-year period. From the results of the sensitivity analysis, it is possible to evaluate the main parameters that affect the net present value (NPV), as well as the interaction of the parameters to the NPV.
References
H.Z. Meng and K.E. Brown, “Coupling of production forecasting, fracture geometry requirements and treatment scheduling in the optimum hydraulic fracture design”, SPE/DOE Joint Symposium on Low Permeability Reservoirs, Denver, Colorado, 18 - 19 May 1987. DOI: 10.2118/16435-MS.
Tamir M. Aggour and Micheal J. Economides, “Optimization of the performance of high-permeability fractured wells”, SPE Formation Damage Control Conference, Lafayette, Louisiana, 18 - 19 February 1998. DOI: 10.2118/39474-MS.
R.A. Langedijk, S. Al-Naabi, H. Al-Lawati, R. Pongratz, M.P Elia, and T. Abdulrab, “Optimization of hydraulic fracturing in a deep, multilayered, gascondensate reservoir”, SPE Annual Technical Conference and Exhibition, Dallas, Texas, 1 - 4 October 2000. DOI: 10.2118/63109-MS.
Z. Yang, D.G. Crosby, and A.K. Khurana, “Multivariate optimization of hydraulic fracture design”, Australian Petroleum Production and Exploration Association Journal, Vol. 42, pp. 516 - 527, 1996.
M.J. Economides, R. Oligney, and P.Valko, “Unified fracture design”. Orsa Press, 2002.
K.D. Mahrer, “A review and perspective on far-field hydraulic fracture geometry studies”, Journal of Petroleum Science and Engineering, Vol. 24, pp. 13 - 28, 1999.
C.W. Hopkins, “The importance of in-situ-stress profiles in hydraulic-fracturing applications”, Journal of Petroleum Technology, Vol. 49, No. 9, pp. 944 - 948, 1997. DOI:10.2118/38458-JPT.
N.R. Warpinski, R.A. Schmidt, and D.A. Northrop, “In-situ stresses: The predominant influence on hydraulic fracture containment”, Journal of Petroleum Technology, Vol. 34, pp. 653 - 664, 1982. DOI: 10.2118/8932-PA.
Dora Patricia Resterepo, Pressure behavior of a system containing multiple vertical fractures. University of Oklahoma, USA, 2008.
M. King Hubbert and David G. Willis, “Mechanics of hydraulic fracturing”, Petroleum Transactions, AIME, Vol. 210, pp. 153 - 168, 1957.
Nguyen Binh Thi Thanh, Tomochika Tokunaga, and Akihiko Okui, “In-situ stress and pore pressure fields in the North Cuu Long basin, offshore Vietnam”, SPE Asia Pacific Conference on Integrated Modelling for Asset Management, Kuala Lumpur, Malaysia, 29 - 30 March 2004.
M.Y. Lee and B.C. Haimson, “Statistical evaluation of hydraulic fracturing stress measurement parameters”, International Journal of Rock Mechanics and Mining Sciences & Geomechanics, Vol. 26, No. 6, pp. 447 - 456, 1989.
I.M. Breckels and H.A.M Van Eekelen, “Relationship between horizontal stress and depth in sedimentary basins”, Journal of Petroleum Technology, Vol. 34, No. 9, pp. 2191 - 2199, 1982. DOI: 10.2118/10336-PA.
T. K. Perkins and L.R. Kern, “Widths of hydraulic fractures”, Journal of Petroleum Technology, Vol. 13, No. 9: pp. 937 - 949, 1961. DOI: 10.2118/89-PA.
R.P. Nordgren, “Propagation of a vertical hydraulic fracture”, Society of Petroleum Engineers Journal, Vol. 12, No. 4, pp. 306 - 314, 1972. DOI: 10.2118/3009-PA.
Z. Rahim and S.A. Holditch, “Using a threedimensional concept in a two-dimensional model to predict accurate hydraulic fracture dimensions”, Journal of Petroleum Science and Engineering, Vol. 13, pp. 15 - 27, 1995.
M.M. Hossain, “Reservoir stimulation by hydraulic fracturing: Complexities and remedies with reference to initiation and propagation of induced and natural fractures”, University of New South Wales, Sydney, 2001.
G.C. Howard and C.R. Fast, “Optimum fluid characteristics for fracture extension”, Drilling and Production Practices, New York, 1957.
Peter Valkó and Michael J. Economides, Hydraulic fracture mechanics. John Wiley and Sons. 1995.
K.G. Nolte, “Determination of proppant and fluid schedules from fracturing pressure decline”, SPE Production Engineering, Vol. 1, No. 4, pp. 255 - 265, 1986. DOI: 10.2118/13278-PA.
Robert S. Schechter, Oil well stimulation. Prentice Hall, 1991.
M.B. Smith, Hydraulic Fracturing. Second Edition, Tulsa, OK: NSI Technologies, 1997.
Michael J. Economides, A. Daniel Hill, Christine Ehlig-Economides, and Ding Zhu, Petroleum production systems. Prentice Hall PTR, New Jersey, 1994.
P. Valko, R.E. Oligney, and M.J. Economides, “High permeability fracturing of gas wells”, Petroleum Engineer International, Vol. 71, No. 1, 1998.
M.J. Economides, P.P. Valko, and X. Wang, “Recent advances in production engineering”, Journal of Canadian Petroleum Technology, Vol. 40, No. 10, pp. 35 - 44, 2001. DOI:10.2118/01-10-01.
J.A. Cornell, How to apply response surface methodology (2nd edition). American Society for Quality Control, 1990.
D.C. Montgomery, Design and Analysis of Experiments (5th edition). John Wiley & Sons, 2001.
Raymond H. Myers, Douglas C. Montgomery, and Christine M. Anderson-Cook, Response surface methodology: Process and product optimization using designed experiments (3rd edition). John Wiley and Sons, 2008.
George Edward Pelham Box and Norman R. Draper, Empirical model building and response surfaces. John Wiley & Sons, 1987.
G.E.P. Box George and D.W. Behnken, "Some new three level designs for the study of quantitative variables", Technometrics, Vol. 2, No. 4, pp. 455 - 475, 1960. DOI: 10.2307/1266454.
Samyak Jain, Andrew Richard Prestridge, Paul Dellorusso, Nghi Chinh Nguyen, Duong Danh Lam and Vuong Quoc Hung, “Case study from 12 successful years of high temperature fracturing in Bach Ho field offshore Vietnam”, Production and Operations Symposium, Oklahoma City, Oklahoma, USA, 2007. DOI: 10.2118/106712-MS.
M.M. Rahman, M.K. Rahman, and S.S. Rahman, “Optimizing treatment parameters for enhanced hydrocarbon production by hydraulic fracturing”, Journal of Canadian Petroleum Technology, Vol. 42, No. 6, 2003. DOI: 10.2118/03-06-02.
Ngoc T.B. Nguyen, Cuong T.Q. Dang, Wisup Bae, and Taemoon Chung, “Integrating geological characterization and historical production analysis to optimize field management of Lower Miocene reservoir in White Tiger field, Vietnam”, Journal of Canadian Petroleum Technology, Vol. 49, No. 5, pp. 8 - 18, 2010. DOI: 10.2118/137045-PA.
Vietsovpetro, "Sơ đồ công nghệ hiệu chỉnh Khai thác và xây dựng mỏ Bạch Hổ". 2013.
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