Direct Multiple-Point Geostatistical Simulation of Edge Properties for Modeling Thin Irregularly Shaped Surfaces

Mathematical Geosciences

Volumn 43, Issue 5, 2011, Pages 521-536

  Huysmans, Marijke ^a   Dassargues, Alain ^a,b  

^a UNIVERSITY OF LEUVEN   (Belgium)

^b UNIVERSITY OF LIÈGE   (Belgium)

Author keywords

Groundwater flow; Heterogeneity; Multiple point geostatistics; Snesim; Solute transport; Training image

Indexed keywords

CELL SIZE; COMPUTATION TIME; DIRECT SIMULATION; EDGE PROPERTIES; GEOLOGICAL HETEROGENEITIES; GEOSTATISTICAL SIMULATION; HETEROGENEITY; HETEROGENEOUS POROUS MEDIA; INTERCONNECTED STRUCTURES; MULTIPLE-POINT GEOSTATISTICS; ON FLOW; PIXEL VALUES; SNESIM; STOCHASTIC APPROACH; THREE-DIMENSIONAL APPLICATIONS; THREE-DIMENSIONAL SURFACE; TRAINING IMAGE; TWO-POINT; TWO-POINT CORRELATION; VARIOGRAMS;

GROUNDWATER; GROUNDWATER FLOW; PIXELS; POROUS MATERIALS; RANDOM ACCESS STORAGE; SOLUTE TRANSPORT; SPATIAL DISTRIBUTION; THREE DIMENSIONAL;

SURFACE PROPERTIES;

CORRELATION; FLOW CONTROL; FLOW MODELING; GEOSTATISTICS; GROUNDWATER FLOW; HETEROGENEITY; PIXEL; POROUS MEDIUM; SOLUTE TRANSPORT; SPATIAL DISTRIBUTION; THREE-DIMENSIONAL MODELING; VARIOGRAM;

EID: 79959293490     PISSN: 18748961     EISSN: 18748953     Source Type: Journal    
DOI: 10.1007/s11004-011-9336-7     Document Type: Article

References (27)

1. Arpat B, Caers J (2007) Stochastic simulation with patterns. Math Geosci 39: 177-203.
2. Caers J, Zhang T (2004) Multiple-point geostatistics: a quantitative vehicle for integrating geologic analogs into multiple reservoir models. In: Integration of outcrop and modern analog data in reservoir models, AAPG memoir, vol 80, pp 383-394.
3. Chiang W, Kinzelbach W (2001) 3D-groundwater modeling with PMWIN. Springer, Berlin. ISBN 3-540-67744-5.
4. Deutsch CV (1999) Reservoir modeling with publicly available software. Comput Geosci 25(4): 355-363.
5. Farmer CL (2002) Upscaling: a review. Int J Numer Methods Fluids 40(1-2): 63-78.
6. Fogg GE, Noyes CD, Carle SF (1998) Geologically based model of heterogeneous hydraulic conductivity in an alluvial setting. Hydrogeol J 6(1): 131-143.
7. Guardiano F, Srivastava M (1993) Multivariate geostatistics: beyond bivariate moments. In: Soares A (ed) Geostatistics-Troia. Kluwer Academic, Dordrecht.
8. Hu LY, Chugunova T (2008) Multiple-point geostatistics for modeling subsurface heterogeneity: a comprehensive review. Water Resour Res 44: W11413.
9. Huysmans M, Dassargues A (2009) Application of multiple-point geostatistics on modeling groundwater flow and transport in a cross-bedded aquifer. Hydrogeol J 17(8): 1901-1911.
10. Huysmans M, Peeters L, Moermans G, Dassargues A (2008) Relating small-scale sedimentary structures and permeability in a cross-bedded aquifer. J Hydrol 361: 41-51.
11. Journel A, Zhang T (2006) The necessity of a multiple-point prior model. Math Geol 38(5): 591-610.
12. Koltermann CE, Gorelick S (1996) Heterogeneity in sedimentary deposits: a review of structure imitating, process-imitation, and descriptive approaches. Water Resour Res 32(9): 2617-2658.
13. Li H (2008) Hierarchic modeling and history matching of multi-scale flow barriers in channelized reservoirs. Stanford PhD thesis.
14. Liu Y (2006) Using the Snesim program for multiple-point statistical simulation. Comput Geosci 32(10): 1544-1563.
15. Maharaja A (2008) TiGenerator: object-based training image generator. Comput Geosci 34(12): 1753-1761.
16. McDonald MG, Harbaugh AW (1988) A modular three-dimensional finite-difference ground-water flow model. Technical report USGS, Reston, VA.
17. Mustapha H, Dimitrakopoulos R (2010) High-order stochastic simulation of complex spatially distributed natural phenomena. Math Geosci 42: 457-485.
18. Remy N (2004) Geostatistical earth modeling software. User's manual, Stanford University.
19. Renard Ph, de Marsily G (1997) Calculating equivalent permeability: a review. Adv Water Resour 20(5-6): 253-278.
20. Strebelle S (2000) Sequential simulation drawing structures from training images. Doctoral dissertation, Stanford University.
21. Strebelle S (2002) Conditional simulation of complex geological structures using multiple-point statistics. Math Geol 34: 1-22.
22. Strebelle S, Journel A (2001) Reservoir modeling using multiple-point statistics. In: SPE 71324 presented at the 2001 SPE annual technical conference and exhibition, New Orleans, September 30-October 3.
23. Stright L, Caers J, Li H (2006) Coupled geological modeling and history matching of fine-scale curvilinear flow barriers. In: 19th SCRF annual meeting, Stanford Center for Reservoir Forecasting, Stanford, May 2006.
24. Wu J, Boucher A, Zhang T (2008) SGeMS code for pattern simulation of continuous and categorical variables: FILTERSIM. Comput Geosci 34: 1863-1876.
25. Zhang T, Switzer P, Journel AG (2006) Filter-based classification of training image patterns for spatial simulation. Math Geol 38: 63-80.
26. Zheng C, Bennett GD (1995) Applied contaminant transport modeling, theory and practice. Wiley, New York.
27. Zheng C, Wang PP (1999) MT3DMS, a modular three-dimensional multi-species transport model for simulation of advection, dispersion and chemical reactions of contaminants in groundwater systems. Documentation and user's guide, US Army Engineer Research and Development Center Contract Report SERDP-99-1, Vicksburg, MS.