PRELIMINARY RESULTS ON 3D GEOLOGIC MAP OF SLOVAKIA A Case Study on Using the Moving Geostatistics Ladislav, VIZI ; Marián, ZLOCHA; Balász, KRONOME; Martin, SUROVÝ; Jana, FRIČOVSKÁ; Branislav, FRIČOVSKÝ; Martin, SUROVÝ; Róbert CIBUĽA 5 th European Meeting on 3D Geological Modelling, Bern, May 22 nd – 24 th 2019 2
Mgo content [%] within magnesite deposit Geometry and gross volumetric of an underground gas storage CaO content [%] conditioned by rock type model Water saturation distribution conditioned by lithofacial model 5 th European Meeting on 3D Geological Modelling, Bern, May 22 nd – 24 th 2019 3
Introduction global vs local approach Plančár , J., Ibrmajer, J., Fusán , O. (1985) MAP OF PRE-TERTIARY BASEMENT RELIEF IN INNER WEST CARPATHIANS, 1:500 000. Štátny geologický ústav Dionýza Štúra, Bratislava. 5 th European Meeting on 3D Geological Modelling, Bern, May 22 nd – 24 th 2019 4
Input data 5 th European Meeting on 3D Geological Modelling, Bern, May 22 nd – 24 th 2019 5
Variography 5 th European Meeting on 3D Geological Modelling, Bern, May 22 nd – 24 th 2019 6
Global approach – anisotropic variogram model 5 th European Meeting on 3D Geological Modelling, Bern, May 22 nd – 24 th 2019 7
Global approach – anisotropic variogram model 5 th European Meeting on 3D Geological Modelling, Bern, May 22 nd – 24 th 2019 7
Global approach – anisotropic variogram model 5 th European Meeting on 3D Geological Modelling, Bern, May 22 nd – 24 th 2019 7
Global approach – isotropic variogram model, ... 5 th European Meeting on 3D Geological Modelling, Bern, May 22 nd – 24 th 2019 8
Global approach – isotropic variogram model, ... 5 th European Meeting on 3D Geological Modelling, Bern, May 22 nd – 24 th 2019 8
Global approach – ???... 5 th European Meeting on 3D Geological Modelling, Bern, May 22 nd – 24 th 2019 8
Local variography ESB DB 5 th European Meeting on 3D Geological Modelling, Bern, May 22 nd – 24 th 2019 9
Searching for solution Kobulský , J., Gazdačko , Ľ ., Grecula, P., Hojnoš , M., Kandrík , M., Kováčik, M., Németh, Z., Pramuka, S., Radvanec, M., Szalaiová, V., Tréger , M. (2001) Atlas of Geological Maps of the Spiš - Gemer Ore Mts. – Final report. State Geological Institute of Dionýz Štúr . Bratislava. 5 th European Meeting on 3D Geological Modelling, Bern, May 22 nd – 24 th 2019 10
Searching for solution Magneron, C., Jeannee, N., Le Moine, O., Bourillet, J.-F. (2010) Integrating Prior Knowledge and Locally Varying Parameters with Moving-GeoStatistics: Methodology and Application to Bathymetric Mapping, In: Atkinson, P.M., Lloyd, Ch.D. (eds.) 7th International Conference on Geostatistics for Environmental Applications, Southampton, UK, September, Springer, pp. 405 – 415. 5 th European Meeting on 3D Geological Modelling, Bern, May 22 nd – 24 th 2019 11
Methodology dir. N135 . • based on cross-validation procedure true estimated error . z 1 z 1 * e 1 • coarse grid 10x10 km z 2 z 2 * e 2 . dir. N55 • locally varying anisotropy: z 3 z 3 * e 3 . true estimated error dir. N50 * z 4 z 4 e 4 - from NE-SW to NW-SE * z 1 z 1 e 1 true estimated error * dir. N45 z 5 z 5 e 5 - step 5 degrees z 2 z 2 * e 2 * z 6 z 6 e 6 * z 1 z 1 e 1 true estimated error - 18 C-V score per cell z 7 z 7 * e 7 z 3 z 3 * e 3 * z 2 z 2 e 2 * z 1 z 1 e 1 AME( N135 ) z 4 z 4 * e 4 z 3 z 3 * e 3 * z 2 z 2 e 2 * z 5 z 5 e 5 * z 4 z 4 e 4 z 5 * z 3 z 3 e 3 * z 6 z 6 e 6 z 3 z 4 z 8 z 5 z 5 * e 5 * z 4 z 4 e 4 * z 7 z 7 e 7 * z 2 * z 6 z 6 e 6 z 1 z 9 AME( N55 ) * z 5 z 5 e 5 z 6 z 7 * z 7 z 7 e 7 * z 6 z 6 e 6 z 10 AME( N50 ) z 11 * z 7 z 7 e 7 AME( N45) 5 th European Meeting on 3D Geological Modelling, Bern, May 22 nd – 24 th 2019 12
Local approach – rotation of anisotropy ellipse 5 th European Meeting on 3D Geological Modelling, Bern, May 22 nd – 24 th 2019 13
Comparison of the results ─ B. 14
Differences between global and local approach [m] 5 th European Meeting on 3D Geological Modelling, Bern, May 22 nd – 24 th 2019 15
Conclusions • Moving geostatistics methodology is very useful in cases of complex structural patterns as soon as the target area becomes large (national or regional models) or density of data becomes very high. • The impact of the local anisotropies for modelling of pre-Tertiary relief is obvious. • Moving geostatistics has proved to be useful methodology for our project (at least for the upper part of model ). • There is still a space for another optimising of parameters. 5 th European Meeting on 3D Geological Modelling, Bern, May 22 nd – 24 th 2019 16
Future work 5 th European Meeting on 3D Geological Modelling, Bern, May 22 nd – 24 th 2019 17
Thank you for your attention Ladislav VIZI (ladislav.vizi@geology.sk; laco.vizi@gmail.com) 5 th European Meeting on 3D Geological Modelling, Bern, May 22 nd – 24 th 2019 17
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