Faster Convergence in Seismic History Matching by Dividing and Conquering the Unknowns
- Farzaneh Sedighi-Dehkordi (Heriot-Watt University) | Karl Stephen (Heriot-Watt University)
- Document ID
- Society of Petroleum Engineers
- SPE Journal
- Publication Date
- December 2010
- Document Type
- Journal Paper
- 1,077 - 1,088
- 2010. Society of Petroleum Engineers
- 5.1.9 Four-Dimensional and Four-Component Seismic, 4.1.2 Separation and Treating, 4.1.5 Processing Equipment, 5.1.8 Seismic Modelling, 5.5.8 History Matching, 5.5 Reservoir Simulation
- 4D seismic, Reservoir Simulation, History matching, Model updating, Faster convergence
- 1 in the last 30 days
- 320 since 2007
- Show more detail
- View rights & permissions
|SPE Member Price:||USD 10.00|
|SPE Non-Member Price:||USD 30.00|
Seismic history matching is the process of modifying a reservoir simulation model to reproduce the observed production data in addition to information gained through time-lapse (4D) seismic data. The search for good predictions requires that many models be generated, particularly if there is an interaction between the properties that we change and their effect on the misfit to observed data. In this paper, we introduce a method of improving search efficiency by estimating such interactions and partitioning the set of unknowns into noninteracting subspaces. We use regression analysis to identify the subspaces, which are then searched separately but simultaneously with an adapted version of the quasiglobal stochastic neighborhood algorithm. We have applied this approach to the Schiehallion field, located on the UK continental shelf. The field model, supplied by the operator, contains a large number of barriers that affect flow at different times during production, and their transmissibilities are highly uncertain. We find that we can successfully represent the misfit function as a second-order polynomial dependent on changes in barrier transmissibility. First, this enables us to identify the most important barriers, and, second, we can modify their transmissibilities efficiently by searching subgroups of the parameter space. Once the regression analysis has been performed, we reduce the number of models required to find a good match by an order of magnitude. By using 4D seismic data to condition saturation and pressure changes in history matching effectively, we have gained a greater insight into reservoir behavior and have been able to predict flow more accurately with an efficient inversion tool. We can now determine unswept areas and make better business decisions.
|File Size||1 MB||Number of Pages||12|
Arenas, E., van Kruijsdijk, C., and Oldenziel, T. 2001. Semi-Automatic History Matching UsingPilot Point Method Including Time-Lapse Seismic Data. Paper SPE 71634presented at the SPE Annual Technical Conference and Exhibition, New Orleans,30 September-3 October. doi: 10.2118/71634-MS.
Castellini, A., Gullapalli, I., Hoang, V., and Condon, P. 2005. Quantifying Uncertainty in ProductionForecast for Fields With Significant History: A West African Case Study.Paper IPTC 10987 presented at the International Petroleum TechnologyConference, Doha, Qatar, 21-23 November. doi: 10.2523/10987-MS.
Castro, S.A. 2007. A Probabilistic Approach to Jointly Integrate 3D/4DSeismic Production Data and Geological Information for Building ReservoirModels. PhD thesis, Stanford University, Stanford, California (December2007).
Chen, Y. and Oliver, D.S. 2009. Ensemble-Based Closed-LoopProduction Optimization on Brugge Field. Paper SPE 118962 presented at theSPE Reservoir Simulation Symposium, The Woodlands, Texas, USA, 2-4 February.doi: 10.2118/118926-MS.
Chu, C. 1990. Prediction ofSteamflood Performance in Heavy Oil Reservoirs Using Correlations Developed byFactorial Design Method. Paper SPE 20020 presented at the SPE CaliforniaRegional Meeting, Ventura, California, USA, 4-6 April. doi:10.2118/20020-MS.
Damsleth, E., Hage, A., and Volden, R. 1992. Maximum Information at Minimum Cost:A North Sea Field Development Study With an Experimental Design. J PetTechnol 44 (12): 1350-1356. SPE-23139-PA. doi:10.2118/23139-PA.
de Marseily, G., Levendan, G., Boucher, M., and Fasanino, G. 1984.Interpretation of interference tests in a well field using geostatisticaltechniques to fit the permeability distributions in a reservoir model. InGeostatistics for Natural Resource Characterisation, ed. G. Verly, M.David, A.G. Journel, and A. Marechal, 831-849. Dordrecht, The Netherlands:NATO-ASI series C122, D. Reidel Publishing Company.
Edris, N.R., Stephen, K.D., Shams, A., and MacBeth, C. 2008. Updating Fault Transmissibilies inSimulations by Successively Adding Data to an Automated Seismic HistoryMatching Processes: A Case Study. Paper SPE 113557 presented at theEuropec/EAGE Conference and Exhibition, Rome, 9-12 June. doi:10.2118/113557-MS.
Egeland, T., Holden, L., and Larsen, E.A. 1992. Designing Better Decisions. PaperSPE 24275 presented at the European Petroleum Computer Conference, Stavanger,24-27 May. doi: 10.2118/24275-MS.
Feraille, M. and Roggero, F. 2004. Uncertainty Quantification for MatureField Combining the Bayesian Inversion Formalism and Experimental DesignApproach. Proc., 9th European Conference on the Mathematics of Oil Recovery,Cannes, France, 30 August-2 September.
Friedmann, F., Chawathe, A., and Larue, D.K. 2003. Assessing Uncertainty in ChannelizedReservoirs Using Experimental Designs. SPE Res Eval & Eng 6 (4): 264-274. SPE-85117-PA. doi: 10.2118/85117-PA.
Gosselin, O., van den Berg, S., and Cominelli, A. 2001. Integrated History-Matching ofProduction and 4D Seismic Data. Paper SPE 71599 presented at the SPE AnnualTechnical Conference and Exhibition, New Orleans, 30 September-3 October. doi:10.2118/71599-MS.
Güyagüler, B. 2002. Optimization of Well Placement and Assessment ofUncertainty. PhD thesis, Stanford University, Stanford, California (27 March2002).
Jourdan, A. and Zabalza-Mezghani, I. 2004. Response SurfaceDesign for Scenario Management and Uncertainty Qualification in ReservoirProduction. Mathematical Geology 36 (8): 965-985. doi:10.1023/B:MATG.0000048801.30621.04.
Kazemi, A. and Stephen, K.D. 2008. Improved Reservoir Description of theNelson Field Via Seismic History Matching. Presented at the SPE Europec/EAGEAnnual Conference and Exhibition, Rome, 9-12 June.
Landa, J.L. and Güyagüler, B. 2003. A Methodology for History Matchingand the Assessment of Uncertainties Associated With Flow Prediction. PaperSPE 84465 presented at the SPE Annual Technical Conference and Exhibition,Denver, 5-8 October. doi: 10.2118/84465-MS.
Leach, H.M., Herbert, N., Los, A., and Smith, R.L. 1999. The SchiehallionDevelopment. In Petroleum Geology of Northwest Europe, Proceedings of the5th Conference, ed. A.J. Fleet and S.A.R. Boldy, 683-692. Bath, UK:Geological Society Publishing House.
Lygren, M., Fagervik, K., Valen, T.S., Hetlelid, A., Berge, G., Dahl, G.V.,Sønneland, L., Lie, H.E., and Magnus, I. 2003. A method for performinghistory matching of reservoir flow models using 4D seismic data.Petroleum Geoscience 9 (1): 83-90. doi:10.1144/1354-079302-532.
Maschio, C. and Schiozer, D.J. 2008. A New Methodology forAssisted History Matching Using Independent Objective Functions.Petroleum Science and Technology 26 (9): 1047-1062. doi:10.1080/10916460701208389.
Montgomery, D.C. 2000. Design and Analysis of Experiments, fifthedition. New York: John Wiley & Sons.
Press, W.H., Teukolsky, S.A., Vetterling, W.T., and Flannery, B.P. 1992.Numerical Recipes in FORTRAN: The Art of Scientific Computing, secondedition. Cambridge, Massachusetts: Cambridge University Press.
Roggero, F., Ding, D.Y., Berthet, P., Lerat, O., Cap, J., and Schreiber,P.E. 2007. Matching of ProductionHistory and 4D Seismic Data--Application to the Girassol Field, OffshoreAngola. Paper SPE 109929 presented at the SPE Annual Technical Conferenceand Exhibition, Anaheim, California, USA, 11-14 November. doi:10.2118/109929-MS.
Sambridge, M.S. 1999. Geophysical inversionwith a neighbourhood algorithm--I. Searching a parameter space.Geophysical Journal International 138 (2): 479-494. doi:10.1046/j.1365-246X.1999.00876.x.
Sambridge, M.S. 2001. Finding acceptable modelsin nonlinear inverse problems using neighbourhood algorithm. InverseProblems 17 (3): 387-403. doi: 10.1088/0266-5611/17/3/302.
Saxby, I., Marsh, M., and Parr, R. 2001. Impact of 4D seismic reservoirmonitoring in the Schiehallion Field UKCS. Proc., AAPG Annual Meeting,Denver, 3-6 June.
Skjervheim, J.-A., Evensen, G., Aanonsen, S.I., Ruud, B.O., and Johansen,T.A. 2007. Incorporating 4DSeismic Data in Reservoir Simulation Model Using Ensemble Kalman Filter.SPE J. 12 (3): 282-292. SPE-95789-PA. doi:10.2118/95789-PA.
Stephen, K.D. 2007. Scale and Process Dependent Model Errors in SeismicHistory Matching. Oil & Gas Science and Technology--Revue de l'IFP 62 (2): 123-136.
Stephen, K.D. and Edris, N. 2009. Assessing the Value of Time-lapse Seismicin History Matching and Forecasts of the Schiehallion Field. Paper presented atthe Europec/EAGE Annual Conference and Exhibition, Amsterdam, 9-11 June.
Stephen, K.D. and MacBeth, C. 2008. Reducing Reservoir PredictionUncertainty by Updating a Stochastic Model Using Seismic History Matching.SPE Res Eval & Eng 11 (6): 991-999. SPE-100295-PA. doi:10.2118/100295-PA.
Stephen, K.D., Shams, A., and MacBeth, C. 2007. Faster Seismic History Matching in aUnited Kingdom Continental Shelf Reservoir. SPE Res Eval & Eng 12 (4): 586-594. SPE-107147-PA. doi: 10.2118/107147-PA.
Stephen, K.D., Soldo, J., MacBeth, C., and Christie, M. 2006. Multiple-Model Seismic and ProductionHistory Matching: A Case Study. SPE J. 11 (4): 418-430.SPE-94173-PA. doi: 10.2118/94173-PA.
Tarantola, A. 1987. Inverse Problem Theory. Amsterdam: ElsevierScience.
Walker, G., Allan, P., Trythall, R., Parr, R., Marsh, M., Kjelstadli, R.,Barkved, O., Johnson, D., and Lane, S. 2006. Three case studies of progress inquantitative seismic-engineering integration. The Leading Edge 25 (9): 1161-1166. doi: 10.1190/1.2349821.
White, C.D. and Royer, S.A. 2003. Experimental Design as a Frameworkfor Reservoir Studies. Paper SPE 79676 presented at the SPE ReservoirSimulation Symposium, Houston, 3-5 February. doi: 10.2118/79676-MS.
Yeten, B., Castellini, A., Güyagüler, B.A., and Chen, W.H. 2005. A Comparison Study on ExperimentalDesign and Response Surface Methodologies. Paper SPE 93347 presented at theSPE Reservoir Simulation Symposium, The Woodlands, Texas, USA, 31 January-2February. doi: 10.2118/93347-MS.
Zabalza, I., Blanc, G., Collmobier, D., and Mezghani, M. 2000. Use ofExperimental Design in Resolving Inverse Problems: Application to HistoryMatching. Presented at the 7th European Conference on the Mathematics of OilRecovery (ECMOR VII), Baveno, Italy, 5-8 September.