Modeling epistemic subsurface reservoir uncertainty using a reverse Wiener jump-diffusion process

Journal of Petroleum Science and Engineering

Volumn 84-85, Issue , 2012, Pages 8-19

  Lin, Jijun ^a   de Weck, Olivier ^b   MacGowan, David ^c  

^a BP AMERICA INC   (United States)

^b MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^c BP EXPLORATION   (United Kingdom)

Author keywords

Epistemic uncertainty; Jump diffusion; Monte Carlo simulation; Reservoir uncertainty; Stochastic model; Wiener process

Indexed keywords

EPISTEMIC UNCERTAINTIES; JUMP-DIFFUSION; MONTE CARLO SIMULATION; RESERVOIR UNCERTAINTY; WIENER PROCESS;

AQUIFERS; COMPUTER SIMULATION; DECAY (ORGANIC); DIFFUSION; ESTIMATION; FRACTURING (OIL WELLS); MATHEMATICAL MODELS; MONTE CARLO METHODS; STOCHASTIC MODELS;

UNCERTAINTY ANALYSIS;

HYDROCARBON GENERATION; MODEL TEST; MONTE CARLO ANALYSIS; NUMERICAL MODEL; RECOVERY METHOD; RESERVOIR CHARACTERIZATION; STOCHASTICITY; UNCERTAINTY ANALYSIS;

ATLANTIC OCEAN; NORTH SEA;

EID: 84860306678     PISSN: 09204105     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.petrol.2012.01.015     Document Type: Article

References (25)

1. Abid F., Kaffel B. A methodology to evaluate an option to defer an oilfield development. J. Petrol. Sci. Eng. 2009, 66:60-68.
2. Armstrong M., Galli A., Bailey W., Couët B. Incorporating technical uncertainty in real option valuation of oil projects. J. Petrol. Sci. Eng. 2004, 44:67-82.
3. Arps J.J. Analysis of decline curves. Trans. AIME 1945, 160:228-247.
4. Arps J.J. Estimation of primary oil reserves. Trans. AIME 1956, 207:182-191.
5. Black F., Scholes M. The pricing of options and corporate liabilities. J. Polit. Econ. 1973, 81:637-659.
6. Caumon G., Strebelle S.B., Caers J.K., Journel A.G. Assessment of global uncertainty for early appraisal of hydrocarbon fields. SPE 89943 Presented at the SPE Annual Technical Conference and Exhibition, Houston, Texas, USA, Sept. 26-29 2004, available at. http://pangea.stanford.edu/~jcaers/papers/SPE89943.pdf.
7. Chang C.P., Lin Z.S. Stochastic analysis of production decline data for production prediction and reserves estimation. J. Petrol. Sci. Eng. 1999, 23:149-160.
8. Copeland T., Antikarov V. Real options: a practitioner's guide 2003, Thomson, New York, USA.
9. Demirmen F. Reserves estimation: the challenge for the industry. J. Petrol. Tech. 2007, 59(5):80-89.
10. Dias M.A.G. Valuation of exploration and production assets: an overview of real options models. J. Petrol. Sci. Eng. 2004, 44:93-114.
11. Dias M.A.G., Rocha K.M.C. Petroleum concessions with extendible options using mean reversion with jumps to model oil prices. Proceedings of 3rd Annual International Conference on Real Options. Wassenaar/Leiden, The Netherlands, June 6-8 1999.
12. Jahn F., Cook M., Graham M. Hydrocarbon Exploration and Production 1998, Elsevier, Amsterdam.
13. Lima G.A.C., Suslick S.B. Estimation of volatility of selected oil production projects. J. Petrol. Sci. Eng. 2006, 44:129-139.
14. Determination of Oil and Gas Reserves 2004, The Petroleum Society of the Canadian Institute of Mining, Metallurgy and Petroleum, ISBN 0-9697990-2-0. V. MacKay (Ed.).
15. Maschio C., de Carvalho C.P.V., Schiozer D.J. A new methodology to reduce uncertainties in reservoir simulation models using observed data and sampling techniques. J. Petrol. Sci. Eng. 2010, 72:110-119.
16. Merton R.C. Theory of rational option pricing. Bell J. Econ. Manag. Sci. 1973, 4(1):141-183.
17. Paddock J.L., Siegel D.R., Smith J.L. Option valuation of claims on real assets: the case of offshore petroleum leases. The Quarterly Journal of Economics 1988, 103(3):479-508. 10.2307/1885541.
18. Rice J. Mathematical Statistics and Data Analysis 1995, Duxbury Press, Belmont, CA. 2nd ed.
19. Sarma, P., 2006. Efficient close-loop optimal control of petroleum reservoirs under uncertainty. PhD dissertation in Department of Petroleum Engineering, Stanford University, CA, USA.
20. Subbey S., Christie M., Sambridge M. Prediction under uncertainty in reservoir modeling. J. Petrol. Sci. Eng. 2004, 44:143-153.
21. Suslick S.B., Schiozer D.J. Risk analysis applied to petroleum exploration and production: an overview. J. Petrol. Sci. Eng. 2004, 44:1-9.
22. Thunnissen D.P. Uncertainty classification for the design and development of complex systems. 3rd Annual Predictive Methods Conference, Newport Beach, California, USA, June 16-17 2003.
23. Trigeorgis L. Real options: managerial flexibility and strategy in resource allocation 2002, MIT Press, Cambridge, MA.
24. Watkins G.C. Characteristics of north sea oil reserve appreciation. Working Paper in MIT Center for Energy and Environmental Policy Research, MIT-CEEPR 00-008 2000, available at. http://web.mit.edu/ceepr/www/publications/workingpapers/2000-008.pdf.
25. Zabalza-Mezghani I., Manceau E., Feraille M., Jourdan A. Uncertainty management: from geological scenarios to production scheme optimization. J. Petrol. Sci. Eng. 2004, 44:11-25.