Informed Local Smoothing in 3D Implicit Geological Modeling
Geological models are commonly used to represent geological structures in 3D space. A wide range of methods exists to create these models, with much scientific work focusing recently on implicit representation methods, which perform an interpolation of a three-dimensional field where the relevant bo...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2021-11-01
|
| Series: | Minerals |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2075-163X/11/11/1281 |
| _version_ | 1797509258502209536 |
|---|---|
| author | Jan von Harten Miguel de la Varga Michael Hillier Florian Wellmann |
| author_facet | Jan von Harten Miguel de la Varga Michael Hillier Florian Wellmann |
| author_sort | Jan von Harten |
| collection | DOAJ |
| description | Geological models are commonly used to represent geological structures in 3D space. A wide range of methods exists to create these models, with much scientific work focusing recently on implicit representation methods, which perform an interpolation of a three-dimensional field where the relevant boundaries are then isosurfaces in this field. However, this method has well-known problems with inhomogeneous data distributions: if regions with densely sampled data points exist, modeling artifacts are common. We present here an approach to overcome this deficiency through a combination of an implicit interpolation algorithm with a local smoothing approach. The approach is based on the concepts of nugget effect and filtered kriging known from conventional geostatistics. It reduces the impact of regularly occurring modeling artifacts that result from data uncertainty and data configuration and additionally aims to improve model robustness for scale-dependent fit-for-purpose modeling. Local smoothing can either be manually adjusted, inferred from quantified uncertainties associated with input data or derived automatically from data configuration. The application for different datasets with varying configuration and noise is presented for a low complexity geologic model. The results show that the approach enables a reduction of artifacts, but may require a careful choice of parameter settings for very inhomogeneous data sets. |
| first_indexed | 2024-03-10T05:15:09Z |
| format | Article |
| id | doaj.art-d009771a1de94f7cb3ba1a7fc3400a66 |
| institution | Directory Open Access Journal |
| issn | 2075-163X |
| language | English |
| last_indexed | 2024-03-10T05:15:09Z |
| publishDate | 2021-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Minerals |
| spelling | doaj.art-d009771a1de94f7cb3ba1a7fc3400a662023-11-23T00:33:01ZengMDPI AGMinerals2075-163X2021-11-011111128110.3390/min11111281Informed Local Smoothing in 3D Implicit Geological ModelingJan von Harten0Miguel de la Varga1Michael Hillier2Florian Wellmann3Computational Geoscience and Reservoir Engineering, RWTH Aachen University, 52062 Aachen, GermanyTerranigma Solutions GmbH, 52072 Aachen, GermanyGeological Survey of Canada, Ottawa, ON K1A 0E8, CanadaComputational Geoscience and Reservoir Engineering, RWTH Aachen University, 52062 Aachen, GermanyGeological models are commonly used to represent geological structures in 3D space. A wide range of methods exists to create these models, with much scientific work focusing recently on implicit representation methods, which perform an interpolation of a three-dimensional field where the relevant boundaries are then isosurfaces in this field. However, this method has well-known problems with inhomogeneous data distributions: if regions with densely sampled data points exist, modeling artifacts are common. We present here an approach to overcome this deficiency through a combination of an implicit interpolation algorithm with a local smoothing approach. The approach is based on the concepts of nugget effect and filtered kriging known from conventional geostatistics. It reduces the impact of regularly occurring modeling artifacts that result from data uncertainty and data configuration and additionally aims to improve model robustness for scale-dependent fit-for-purpose modeling. Local smoothing can either be manually adjusted, inferred from quantified uncertainties associated with input data or derived automatically from data configuration. The application for different datasets with varying configuration and noise is presented for a low complexity geologic model. The results show that the approach enables a reduction of artifacts, but may require a careful choice of parameter settings for very inhomogeneous data sets.https://www.mdpi.com/2075-163X/11/11/12813D modelingimplicit modelinggeomodelinggeostatisticskrigingnugget effect |
| spellingShingle | Jan von Harten Miguel de la Varga Michael Hillier Florian Wellmann Informed Local Smoothing in 3D Implicit Geological Modeling Minerals 3D modeling implicit modeling geomodeling geostatistics kriging nugget effect |
| title | Informed Local Smoothing in 3D Implicit Geological Modeling |
| title_full | Informed Local Smoothing in 3D Implicit Geological Modeling |
| title_fullStr | Informed Local Smoothing in 3D Implicit Geological Modeling |
| title_full_unstemmed | Informed Local Smoothing in 3D Implicit Geological Modeling |
| title_short | Informed Local Smoothing in 3D Implicit Geological Modeling |
| title_sort | informed local smoothing in 3d implicit geological modeling |
| topic | 3D modeling implicit modeling geomodeling geostatistics kriging nugget effect |
| url | https://www.mdpi.com/2075-163X/11/11/1281 |
| work_keys_str_mv | AT janvonharten informedlocalsmoothingin3dimplicitgeologicalmodeling AT migueldelavarga informedlocalsmoothingin3dimplicitgeologicalmodeling AT michaelhillier informedlocalsmoothingin3dimplicitgeologicalmodeling AT florianwellmann informedlocalsmoothingin3dimplicitgeologicalmodeling |