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...

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Autores principales:	Jan von Harten, Miguel de la Varga, Michael Hillier, Florian Wellmann
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	3D modeling implicit modeling geomodeling geostatistics kriging nugget effect Mineralogy QE351-399.2
Acceso en línea:	https://doaj.org/article/d009771a1de94f7cb3ba1a7fc3400a66
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id	oai:doaj.org-article:d009771a1de94f7cb3ba1a7fc3400a66
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spelling	oai:doaj.org-article:d009771a1de94f7cb3ba1a7fc3400a662021-11-25T18:26:49ZInformed Local Smoothing in 3D Implicit Geological Modeling10.3390/min111112812075-163Xhttps://doaj.org/article/d009771a1de94f7cb3ba1a7fc3400a662021-11-01T00:00:00Zhttps://www.mdpi.com/2075-163X/11/11/1281https://doaj.org/toc/2075-163XGeological 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.Jan von HartenMiguel de la VargaMichael HillierFlorian WellmannMDPI AGarticle3D modelingimplicit modelinggeomodelinggeostatisticskrigingnugget effectMineralogyQE351-399.2ENMinerals, Vol 11, Iss 1281, p 1281 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	3D modeling implicit modeling geomodeling geostatistics kriging nugget effect Mineralogy QE351-399.2
spellingShingle	3D modeling implicit modeling geomodeling geostatistics kriging nugget effect Mineralogy QE351-399.2 Jan von Harten Miguel de la Varga Michael Hillier Florian Wellmann Informed Local Smoothing in 3D Implicit Geological Modeling
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.
format	article
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
title	Informed Local Smoothing in 3D Implicit Geological Modeling
title_short	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_sort	informed local smoothing in 3d implicit geological modeling
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/d009771a1de94f7cb3ba1a7fc3400a66
work_keys_str_mv	AT janvonharten informedlocalsmoothingin3dimplicitgeologicalmodeling AT migueldelavarga informedlocalsmoothingin3dimplicitgeologicalmodeling AT michaelhillier informedlocalsmoothingin3dimplicitgeologicalmodeling AT florianwellmann informedlocalsmoothingin3dimplicitgeologicalmodeling
_version_	1718411160189927424

Informed Local Smoothing in 3D Implicit Geological Modeling

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