A distance-based prior model parameterization for constraining solutions of spatial inverse problems

Mathematical Geosciences

Volumn 40, Issue 4, 2008, Pages 445-469

  Suzuki, Satomi ^a   Caers, Jef ^a  

^a STANFORD UNIVERSITY   (United States)

Author keywords

Distance function; Geostatistics; Inverse problems; Stochastic search

Indexed keywords

COMPUTER SIMULATION; EARTH SCIENCES; GEOLOGIC MODELS; IMAGING TECHNIQUES; INVERSE PROBLEMS; MATHEMATICAL MODELS; MONTE CARLO METHODS; PARAMETERIZATION;

GEOSTATISTICS; INVERSE PROBLEM; MODELING; MONTE CARLO ANALYSIS; PARAMETERIZATION; SPATIAL VARIATION; STOCHASTICITY; VARIOGRAM;

EID: 43049111440     PISSN: 18748961     EISSN: 18748953     Source Type: Journal    
DOI: 10.1007/s11004-008-9154-8     Document Type: Article

References (35)

1. JRL Allen 1978 Studies in fluviatile sedimentation: an exploratory quantitative model for the architecture of avulsion-controlled alluvial suites Sediment Geol 21 2 129 147 10.1016/0037-0738(78)90002-7 Allen JRL (1978) Studies in fluviatile sedimentation: an exploratory quantitative model for the architecture of avulsion-controlled alluvial suites. Sediment Geol 21(2):129–147
2. Arpat BG (2005). Sequential simulation with patterns. Unpublished doctoral dissertation, Stanford University, 166 p
3. JS Bridge MR Leeder 1979 A simulation model of alluvial stratigraphy Sedimentology 26 5 617 644 10.1111/j.1365-3091.1979.tb00935.x Bridge JS, Leeder MR (1979) A simulation model of alluvial stratigraphy. Sedimentology 26(5):617–644
4. J Caers 2003 History matching under a training image-based geological model constraint SPE J 8 3 218 226 SPE #74716 Caers J (2003) History matching under a training image-based geological model constraint. SPE J 8(3):218–226, SPE #74716
5. J Caers T Hoffman 2006 The probability perturbation method—a new look at Bayesian inverse modeling Math Geol 38 1 81 100 10.1007/s11004-005-9005-9 Caers J, Hoffman T (2006) The probability perturbation method—a new look at Bayesian inverse modeling. Math Geol 38(1):81–100
6. J Caers S Strebelle K Payrazyan 2003 Stochastic integration of seismic data and geologic scenarios: a West Africa submarine channel saga Lead Edge 22 3 192 196 10.1190/1.1564521 Caers J, Strebelle S, Payrazyan K (2003) Stochastic integration of seismic data and geologic scenarios: a West Africa submarine channel saga. Lead Edge 22(3):192–196
7. J Caers T Hoffman S Strebelle HW Wen 2006 Probabilistic integration of geologic scenarios, seismic, and production data—a West Africa turbidite reservoir case study Lead Edge 25 3 240 244 10.1190/1.2184087 Caers J, Hoffman T, Strebelle S, Wen HW (2006) Probabilistic integration of geologic scenarios, seismic, and production data—a West Africa turbidite reservoir case study. Lead Edge 25(3):240–244
8. Castro S, Caers J, Otterlei C, Hoye T, Andersen T, Gomel P (2006) A probabilistic integration of well log, geological information, 3D/4D seismic and production data: Application to the Oseberg field. In: Proceedings of SPE annual technical conference and exhibition, San Antonio, SPE #103152
9. M Christie V Demyanov D Erbas 2006 Uncertainty qualification for porous media flows J Comput Phys 217 1 143 158 10.1016/j.jcp.2006.01.026 Christie M, Demyanov V, Erbas D (2006) Uncertainty qualification for porous media flows. J Comput Phys 217(1):143–158
10. Chu L, Reynolds AC, Oliver DS (1995) Reservoir description from static and well-test data using efficient gradient methods. In: Proceedings of SPE international meeting on petroleum engineering, Beijing, SPE #29999
11. Demyanov V, Subbey S, Christie M (2004) Uncertainty assessment in PUNQ-S3: Neighbourhood algorithm framework for geostatistical modeling. In: Proceedings of the 9th European conference on the mathematics of oil recovery, Cannes, France
12. CV Deutsch L Wang 1996 Hierarchical object-based stochastic modeling of fluvial reservoirs Math Geol 28 7 857 880 10.1007/BF02066005 Deutsch CV, Wang L (1996) Hierarchical object-based stochastic modeling of fluvial reservoirs. Math Geol 28(7), 857–880
13. Dubuisson MP, Jain AK (1994) A modified Hausdorff distance for object matching. In: Proceedings of the 12th international conference on pattern recognition, Jerusalem, vol A, pp 566–568
14. F Georgsen H More 1993 Combining fiber processes and Gaussian random functions for modeling fluvial reservoirs A. Soares Geostatistics Troia’92 Kluwer Academic Dordrecht 425 439 Georgsen F, More H (1993) Combining fiber processes and Gaussian random functions for modeling fluvial reservoirs. In: Soares A. (ed.) Geostatistics Troia’92. Kluwer Academic, Dordrecht, pp 425–439
15. F Guardiano RM Srivastava 1993 Multivariate geostatistics: beyond bivariate moments A Soares Geostatistics Troia’92 1 Kluwer Academic Dordrecht 133 144 Guardiano F, Srivastava RM (1993) Multivariate geostatistics: beyond bivariate moments. In: Soares A (ed.) Geostatistics Troia’92. Kluwer Academic, Dordrecht, vol 1, pp 133–144
16. Hoffman TB, Strebelle S, Wen X-H, Caers J (2005) Geologically consistent history matching of a deepwater turbidite reservoir. In: Proceedings of SPE annual technical conference and exhibition, Dallas, SPE #95557
17. L Holden R Hauge O Skare A Skorstad 1998 Modeling of fluvial reservoirs with object models Math Geol 30 5 473 496 10.1023/A:1021769526425 Holden L, Hauge R, Skare O, Skorstad A (1998) Modeling of fluvial reservoirs with object models. Math Geol 30(5):473–496
18. L-Y Hu G Blanc B Noetinger 2001 Gradual deformation and iterative calibration of sequential simulations Math Geol 33 475 489 10.1023/A:1011088913233 Hu L-Y, Blanc G, Noetinger B (2001) Gradual deformation and iterative calibration of sequential simulations. Math Geol 33:475–489
19. TY Lee JH Seinfeld 1987 Estimation of two-phase petroleum reservoir properties by regularization J Comput Phys 69 397 419 10.1016/0021-9991(87)90174-4 Lee TY, Seinfeld JH (1987) Estimation of two-phase petroleum reservoir properties by regularization. J Comput Phys 69:397–419
20. R Li AC Reynolds DS Oliver 2003 History matching of three-phase flow production data SPE J 8 4 328 340 SPE #87336 Li R, Reynolds AC, Oliver DS (2003) History matching of three-phase flow production data. SPE J 8(4):328–340, SPE #87336
21. SC Mackey JS Bridge 1995 Three-dimensional model of alluvial stratigraphy: Theory and application J Sediment Res B 65 1 7 31 Mackey SC, Bridge JS (1995) Three-dimensional model of alluvial stratigraphy: Theory and application. J Sediment Res B 65(1):7–31
22. Maharaja A (2006) Assessing uncertainty on net-to-gross at the appraisal stage: application to a West Africa deep-water reservoir. Unpublished SCRF report 16, Stanford University
23. K Mosegaard A Tarantola 1995 Monte Carlo sampling of solutions to inverse problems J Geophys Res B 100 12431 12447 10.1029/94JB03097 Mosegaard K, Tarantola A (1995) Monte Carlo sampling of solutions to inverse problems. J Geophys Res B 100:12431–12447
24. Oliver DS, He N, Reynolds AC (1996) Conditioning permeability fields to pressure data. In: Leoben M, Heinemann ZE, Kriebernegg M (eds.) Proceedings of the 5th European conference on the mathematics of oil recovery, Leoben, pp 259–269
25. Omre H, Tjelmeland H (1996) Petroleum geostatistics. In: Baafi EY, Schofield NA (eds.) Proceedings of the 5th international geostatistics congress, Wollongong, Australia, vol 1, pp 41–52
26. M Sambridge 1999 Geophysical inversion with a neighborhood algorithm—I: Searching a parameter space Geophys J Int 138 2 479 494 10.1046/j.1365-246X.1999.00876.x Sambridge M (1999a) Geophysical inversion with a neighborhood algorithm—I: Searching a parameter space. Geophys J Int 138(2):479–494
27. M Sambridge 1999 Geophysical inversion with a neighborhood algorithm—II: Appraising the ensemble Geophys J Int 138 3 727 746 10.1046/j.1365-246x.1999.00900.x Sambridge M (1999b) Geophysical inversion with a neighborhood algorithm—II: Appraising the ensemble. Geophys J Int 138(3):727–746
28. S Strebelle 2002 Conditional simulation of complex geological structures using multiple-point geostatistics Math Geol 34 1 22 10.1023/A:1014009426274 Strebelle S (2002) Conditional simulation of complex geological structures using multiple-point geostatistics. Math Geol 34:1–22
29. Suzuki S (2007) Integrated evaluation of structural uncertainty using history matching from seismic imaging uncertainty model. PhD dissertation, Stanford University, California, USA
30. Suzuki S, Caers J (2006) History matching with an uncertain geological scenario. In: Proceedings of SPE annual technical conference and exhibition, San Antonio, SPE #102154
31. Suzuki S, Caers J, Caumon G (2007). History matching of reservoir structure subject to prior geophysical and geological constraints. In: EAGE conference on petroleum geostatistics, Cascais, Portugal, September 10–14, 2007
32. A Tarantola 1987 Inverse problem theory Elsevier Amsterdam 358 p Tarantola A (1987) Inverse problem theory. Elsevier, Amsterdam, 358 p
33. H Tjelmeland J Besag 1998 Markov random fields with higher order interactions Scand J Statist 25 415 433 10.1111/1467-9469.00113 Tjelmeland H, Besag J (1998) Markov random fields with higher order interactions. Scand J Statist 25:415–433
34. Viseur S (1999) Stochastic boolean simulation of fluvial deposits: a new approach combining accuracy and efficiency. In: Proceedings of SPE annual technical conference and exhibition, Houston, SPE #56688
35. Yamada T, Okano Y (2005) A volcanic reservoir: facies distribution model accounting for pressure communication. In: Proceedings of SPE Asia pacific oil and gas conference and exhibition, Jakarta, SPE #93159