Application of multiple point geostatistics to non-stationary images

Mathematical Geosciences

Volumn 41, Issue 1, 2009, Pages 29-42

  de Vries, Luis Manuel ^a,c   Carrera, Jesus ^b,c   Falivene, Oriol ^c,d   Gratacós, Oscar ^c   Slooten, Luit Jan ^e  

^a UTRECHT UNIVERSITY   (Netherlands)

^b INSTITUTE OF EARTH SCIENCES JAUME ALMERA   (Spain)

^c UNIVERSITY OF BARCELONA   (Spain)

^d BP Exploration Company Limited ^*  (United Kingdom)

^e UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

Geostatistics; Multiple point statistics; Non stationary; Reservoir modelling; Training image

Indexed keywords

AQUIFERS; FLOW SIMULATION; GEOLOGY; IMAGE PROCESSING; PETROLEUM RESERVOIRS; PROBABILITY; STATISTICAL METHODS;

AQUIFER; GEOSTATISTICS; IMAGE ANALYSIS; PROBABILITY; SOLUTE TRANSPORT; STOCHASTICITY; VARIOGRAM;

EID: 58249094379     PISSN: 18748961     EISSN: 18748953     Source Type: Journal    
DOI: 10.1007/s11004-008-9188-y     Document Type: Article

References (31)

1. Caers J (2001) Geostatistical reservoir modelling using statistical pattern recognition. J Petroleum Sci Eng 29:177-188
2. Caers J, Zhang T (2004) Multiple-point geostatistics: A quantitative vehicle for integrating geologic analogs into multiple reservoir models. In: Gramer M, Harris PM, Eberli GP (eds) Integration of outcrop and modern analogs in reservoir modeling. Am Assoc Petroleum Geol Memoir, 80:383-394
3. Carrera J (1993) An overview of uncertainties in modeling groundwater solute transport. J Contam Hydrol 13:23-48
4. Chugunova TL, Hu LY (2008) Multiple-point simulations constrained by continuous auxiliary data. Math Geosci 40:133-146
5. Deutsch CV, Hewet TA (1996) Challenges in reservoir forecasting. Math Geol 28:829-842
6. Deutsch CV, Journel AG (1998) GSLIB: Geostatistical Software Library and user's guide. Oxford University Press, New York. 369 p
7. Dowd PA, Pardo-Igúzquiza E, Xu C (2003) Plurigau: A computer program for simulating spatial facies using truncated plurigaussian method. Comput Geosci 29:123-141
8. Falivene O, Arbués P, Gardiner AR, Pickup GE, Muñoz JA, Cabrera L (2006) Best-pactice stochastic facies modeling from a channel-fill turbidite sandstone analog (the Quarry Outcrop, Eocene Ainsa Basin, NE Spain). Am Assoc Petroleum Geol Bull 90:1003-1029
9. Falivene O, Cabrera L, Muñoz JA, P. A, Fernández O, Saez A (2007) Statistical grid-based facies reconstruction and modelling for sedimentary bodies. Alluvial-palustrine and turbiditic examples. Geol Acta 5:199-230
10. Galli A, Beucher H, Le Loc'h G, Doliguez, Heresim Group (1994), The pros and cons of the truncated Gaussian method. In: Armstrong M, Dowd PA (eds) Geostatistical simulations, pp 217-233
11. Guardiano F, Srivastava RM (1993) Multivariate geostatistics: Beyond bivariate moments. In: Soares A (ed) Geostatistics-Troia. Kluwer, Dordrecht, pp 133-144
12. Haldorsen HH, Damsleth E (1990) Stochastic modeling. J Petroleum Geol 42:404-412
13. Journel AG, Deutsch CV (1993) Entropy and spatial disorder. Math Geol 25:329-355
14. Journel AG, Isaaks EH (1984) Conditional indicator simulation: Application to a Saskatchewan uranium deposit. Math Geol 16:685-718
15. Journel A (1985) The deterministic side of geostatistics. Math Geol 17:1-15
16. King MJ, Mansfield M (1999), Flow simulation of geologic models. Society of Petroleum Engineers Reservoir Eval. & Eng, vol 2 (SPE Paper number 57469)
17. Knudby C, Carrera J (2005) On the relationship between indicators of geostatistical, flow and transport connectivity. Adv Water Resour 28:405-421
18. Koltermann CE, Gorelick SM (1996) Heterogeneity in sedimentary deposits: A review of structure-imitating, process-imitating, and descriptive approaches. Water Resour Res 32:2617-2658
19. Liu Y (2006) Using the Snesim program for multiple-point statistical simulation. Comput Geosci 32:1544-1563
20. Liu GS, Zheng CM, Gorelick SM (2004a) Limits of applicability of the advection-dispersion model in aquifers containing connected high-conductivity channels. Water Resour Res. doi: 10.1029/2003WR002735
21. Liu Y, Harding A, Abriel W, Strebelle S (2004b) Multiple-point simulation integrating wells, three-dimensional seismic data, and geology. Am Assoc Petroleum Geol Bull 88:905-921
22. de Marsily G, Delay F, Teles V, Schafmeister MT (1998) Some current methods to represent the heterogeneity of natural media in hydrogeology. Hydrogeol J 6:115-130
23. Pardo-Igúzquiza E, Dowd PA (2003) CONNEC3D: A computer program for connectivity analysis of 3D random set models. Comput Geosci 29:775-785
24. Pryor WA (1973) Permeability-porosity patterns and variations in some holocene sand bodies. Am Assoc Petroleum Geol Bull 57:162-189
25. Slooten L, Batlle F, Carrera J, Gamazo P, De Vries LM (2007), Prosit manual: Getting started
26. Strebelle S (2002) Conditional simulation of complex geological structures using multiple-point statistics. Math Geol 34:1-22
27. Strebelle S, (2006), Sequential simulation for modeling geological structures from training images. In: Yarus JM, Chambers RL (eds) Stochastic modelling and geostatistics: Principles, methods and case studies, vol 2, pp 139-149
28. Strebelle S, Payrazyan K, Caers J (2002) Modeling of a deepwater turbidite reservoir conditional to seismic data using multiple-point geostatistics. Society of Petroleum Engineers Paper number 77425, 10 p
29. Tetzlaff DM, Harbaugh JW (1989) Simulating clastic sedimentation. Van Nostrand Reinhold, New York. 202 p
30. Wu J (2007) 4D Seismic and multiple-point pattern data integration using geostatistics. PhD Thesis, Energy Resources Engineering Department, Stanford University (California, USA), 275 p
31. Xu W (1996) Conditional curvilinear stochastic simulation using pixel-based algorithms. Math Geol 28:937-950