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TitleImplicit 3D modelling of geological surfaces with the Generalized Radial Basis Functions (GRBF) algorithm
AuthorHillier, M J; de Kemp, E A; Schetselaar, E M
SourceGeological Survey of Canada, Open File 7814, 2017, 15 pages, (Open Access)
PublisherNatural Resources Canada
Documentopen file
Mediaon-line; digital
File formatpdf
Subjectsmathematical and computational geology; stratigraphy; structural geology; modelling; sedimentary basins; mineral exploration; basin analysis; basin geometry; basin formation; sedimentary ore deposits; mineral deposits; anisotropy; Purcell Basin; Purcell Anticlinorium; SEDEX deposits; generalized radial basis functions (GRBF) algorithm
Illustrationsscreen captures; schematic representations; cross-sections; 3-D models; graphs
ProgramTargeted Geoscience Initiative (TGI-5), Volcanic and sedimentary systems
ProgramTargeted Geoscience Initiative (TGI-4)
Released2017 07 20
AbstractWe summarize an interpolation algorithm, which was developed to model 3D geological surfaces, and its application to modelling regional stratigraphic horizons in the Purcell basin, a study area in the SEDEX project under the Targeted Geoscience Initiative 4 program. We developed a generalized interpolation framework using Radial Basis Functions (RBF) that implicitly models 3D continuous geological surfaces from scattered multivariate structural data. The general form of the mathematical framework permits additional geologic information to be included in the interpolation in comparison to traditional interpolation methods using RBF's such as: (1) stratigraphic data from above and below targeted horizons (2) modelled anisotropy and (3) orientation constraints (e.g. planar and linear).
Summary(Plain Language Summary, not published)
The Targeted Geoscience Initiative (TGI-4) is a collaborative federal geoscience program that provides industry with the next generation of geoscience knowledge and innovative techniques to better detect buried mineral deposits, thereby reducing some of the risks of exploration. We summarize an interpolation algorithm that was developed to model 3D geological surfaces and its application to modelling regional stratigraphic horizons in the Purcell basin, a study area in the ZEDEX project under the TGI4 program.