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A corner-point-grid-based voxelization method for the complex geological structure model with folds

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Abstract

The 3D voxel model is the foundation of geological property modeling, and it is also an effective approach to achieve the 3D visualization of heterogeneous attributes in geological structures. Corner-point grid is a representative structured grid model that is widely used nowadays. When implementing subdivision for the complex geological structure model with folds, its structural morphology and bedding features should be fully considered to ensure the generated voxels keep its original morphology. And on the basis of which, the detailed bedding features and the spatial heterogeneity of the internal attributes will be reproduced and expressed in the voxel model. For the purpose of overcoming the shortcomings of the existing technologies, a new corner-point-grid-based voxelization method is proposed which aims at the fast conversion from the 3D geological structure model with folds to its fine voxel model. As the rule of isocline in Ramsay’s fold classification is adopted in the gridding, the generated voxel model conforms to the spatial features of folds, and the voxels of the laminas inside a fold match the result of geological sedimentation and tectonic movement. This will provide a carrier and model foundation for the subsequent attribute assignment as well as the quantitative analysis and evaluation. Through the comparative analysis between the examples and Ramsay’s description of fold’s isoclines, the effectiveness and advantages of this method are discussed and tested.

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References

  • Aarnes JE, Krogstad S, Lie K (2008) Multiscale mixed/mimetic methods on corner-point grids. Comput Geosci 12(3):297–315

    Article  MathSciNet  MATH  Google Scholar 

  • Bistacchi A, Massironi M, Dal Piaz GV, Dal Piaz G, Monopoli B, Schiavo A, Toffolon G (2008) 3D fold and fault reconstruction with an uncertainty model: an example from an Alpine tunnel case study. Comput Geosci 34(4):351–372

    Article  Google Scholar 

  • Caers J (2001) Geostatistical reservoir modeling using statistical pattern recognition. J Petrol Sci Eng 29:177–188

    Article  Google Scholar 

  • Caumon G, Collon-Drouaillet P, de Veslud CLC, Viseur S, Sausse J (2009) Surface-based 3D modeling of geological structures. Math Geosci 41(8):927–945

    Article  MATH  Google Scholar 

  • Chen SQ, Li Q, Miao QJ, Huang YY (2005) An editing method of 3D geological model with the union of vector and grid. J Comp Aid Des Graph 17(7):1544–1548

    Google Scholar 

  • Cheng PG, Gong JY, Shi WZ, Liu SH (2004) Geological object modeling based on quasi tri-prism volume and its application. Geomat Inf Sci Wuhan Univ 29(7):602–607

    Google Scholar 

  • Courrioux G, Nullans S, Guillen A, Boissonnat JD, Repusseau P, Renaud X, Thibaut M (2001) 3D volumetric modeling of cadomian terranes (Northern Brittany, France): an automatic method using Voronoi diagrams. Tectonophysics 331:181–196

    Article  Google Scholar 

  • Han J, Shi FZ, Wu SH, Fan Z (2008) Generation algorithm of corner-point grids based on skeleton model. Comp Eng 34(4):90–92, 95

  • He ZW, Wu CL, Tian YP, Mao XP (2008) Three-dimensional reconstruction of geological solids based on section topology reasoning. Geo-spatial Inf Sci 11(3):201–208

    Article  Google Scholar 

  • Islam MR, Hayashi D, Kamruzzaman ABM (2009) Finite element modeling of stress distributions and problems for multi-slice longwall mining in Bangladesh, with special reference to the Barapukuria coal mine. Int J Coal Geol 78(2):91–109

    Article  Google Scholar 

  • Jackson MD, Hampson GJ, Saunders JH, El-Sheikh A, Graham GH, Massart BYG (2013) Surface-based reservoir modelling for flow simulation. In: Martinius AW, Howell JA, Good TR (eds) Geological Society Special Publication, pp 271–292

  • Jackson MD, Percival JR, Mostaghiml P, Tollit BS, Pavlidis D, Pain CC, Gomes JLMA, El-Sheikh AH, Salinas P, Muggeridge AH, Blunt MJ (2015) Reservoir modeling for flow simulation by use of surfaces, adaptive unstructured meshes, and an overlapping-control-volume finite-element method. SPE Reservoir Eval Eng 18(2):115–132

    Article  Google Scholar 

  • Juanes R, Kim J, Matringe SF, Thomas LK (2005) Implementation and application of a hybrid multipoint flux approximation for reservoir simulation on corner-point grids. Dallas, TX, United states, pp 1968–1979

    Google Scholar 

  • Krogstad S, Lie KA, Moll Nilsen H, Natvig JR, Skaflestad B, Aarnes JE (2009) A multiscale mixed finite-element solver for three-phase black-oil flow. The Woodlands, TX, United states, pp 620–632

    Google Scholar 

  • Laurent G, Caumon G, Jessell M (2015) Interactive editing of 3D geological structures and tectonic history sketching via a rigid element method. Comput Geosci 74:71–86

    Article  Google Scholar 

  • Li ZL, Wu CL, Zhang XL, Weng ZP (2011) Dynamical constructing the solid model for an ore-body with refined attributes. J Chin Univ Min Technol 40(6):990–994

    Google Scholar 

  • Li ZL, Wu CL, Zhang XL, Weng ZP, Gao JY (2013) Dynamical ore-body modeling by property-structure (P-S) method. Earth Sci J Chin Univ Geosci 38(6):1331–1338

    Google Scholar 

  • Mallet JL (1997) Discrete modeling for natural objects. Math Geol 29(2):199–219

    Article  MathSciNet  MATH  Google Scholar 

  • Mariethoz G, Caers J (2014) Multiple-point geostatistics: stochastic modeling with training images. Wiley Blackwell

  • Moore RR, Johnson SE (2001) Three-dimensional reconstruction and modeling of complexly folded surfaces using Mathematica. Comput Geosci 27(4):401–418

    Article  Google Scholar 

  • Mouton T, Borouchaki H, Bennis C (2010) Hybrid mesh generation for reservoir flow simulation: extension to highly deformed corner point geometry grids. Finite Elem Anal Des 46:152–164

    Article  MathSciNet  Google Scholar 

  • Pal M, Lamine S, Lie K, Krogstad S (2015) Validation of the multiscale mixed finite-element method. Int J Numer Meth Fluids 77(4):206–223

    Article  MathSciNet  Google Scholar 

  • Pellerin J, Lévy B, Caumon G, Botella A (2014) Automatic surface remeshing of 3D structural models at specified resolution: a method based on Voronoi diagrams. Comput Geosci 62:103–116

    Article  Google Scholar 

  • Ponting DK (1992) Corner point geometry in reservoir simulation. Engl, Cambridge, p 45

    Google Scholar 

  • Ramsay JG, Huber MI (1987) The techniques of modern structural geology: folds and fracture (Volume 2). Academic Press

  • Vacas Peña JM (2000) A program in Pascal to simulate the superposition of two or three fold systems. Comput Geosci 26(3):341–349

    Article  Google Scholar 

  • Weng ZP, He ZW, Mao XP, Li ZL, Qi G, Li JJ, Wu CL (2012) Development and applications of three-dimensional dynamic and visualization geological modeling system. Geol Sci Technol Inf 31(6):59–66

    Google Scholar 

  • Wu LX (2004) Topological relations embodied in a generalized tri-prism (GTP) model for a 3D geoscience modeling system. Comput Geosci 30(4):405–418

    Article  Google Scholar 

  • Wu Q, Xu H, Zou XK (2005) An effective method for 3D geological modeling with multi-source data integration. Comput Geosci 31:35–43

    Article  Google Scholar 

  • Wu CL, Mao XP, Tian YP, Weng ZP, He ZW, Li SH, Li X, Zhang ZT (2006) Digital basins and their 3D visualization modeling. Geol Sci Technol Inf 25(4):1–8

    Google Scholar 

  • Wu Q, Xu H, Zou XK, Lei HZ (2015) A 3D modeling approach to complex faults with multi-source data. Comput Geosci 77:126–137

    Article  Google Scholar 

Download references

Acknowledgements

The authors would like to express sincere thanks to Dr. Zhang Xiaolong (Luke) and two anonymous reviewers for their detailed and constructive comments which led to the improvements in the manuscript. This work was supported by the Natural Science Foundation of China (No. 41172300) and the National High-tech R&D Program of China (863 Program) (No. 2012AA121401).

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Correspondence to Gang Liu.

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Chen, Q., Liu, G., Li, X. et al. A corner-point-grid-based voxelization method for the complex geological structure model with folds. J Vis 20, 875–888 (2017). https://doi.org/10.1007/s12650-017-0433-7

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