dc.contributor.author | Berge, Runar Lie | |
dc.contributor.author | Klemetsdal, Øystein | |
dc.contributor.author | Lie, Knut-Andreas | |
dc.date.accessioned | 2018-11-07T06:59:29Z | |
dc.date.available | 2018-11-07T06:59:29Z | |
dc.date.created | 2018-10-12T15:26:24Z | |
dc.date.issued | 2018 | |
dc.identifier.citation | Computational Geosciences, 2018, pp20 | nb_NO |
dc.identifier.issn | 1420-0597 | |
dc.identifier.uri | http://hdl.handle.net/11250/2571311 | |
dc.description.abstract | We present a novel mixed-dimensional method for generating unstructured polyhedral grids that conform to prescribed geometric objects in arbitrary dimensions. Two types of conformity are introduced: (i) control-point alignment of cell centroids to accurately represent horizontal and multilateral wells or create volumetric representations of fracture networks, and (ii) boundary alignment of cell faces to accurately preserve lower-dimensional geological objects such as layers, fractures, faults, and/or pinchouts. The prescribed objects are in this case assumed to be lower-dimensional, and we create a grid hierarchy in which each lower-dimensional object is associated with a lower-dimensional grid. Further, the intersection of two objects is associated with a grid one dimension lower than the objects. Each grid is generated as a clipped Voronoi diagram, also called a perpendicular bisector (PEBI) grid, for a carefully chosen set of generating points. Moreover, each grid is generated in such a way that the cell faces of a higher-dimensional grid conform to the cells of all lower-dimensional grids. We also introduce a sufficient and necessary condition which makes it easy to check if the sites for a given perpendicular bisector grid will conform to the set of prescribed geometric objects. | nb_NO |
dc.description.abstract | Unstructured Voronoi grids conforming to lower-dimensional objects | nb_NO |
dc.language.iso | eng | nb_NO |
dc.title | Unstructured Voronoi grids conforming to lower-dimensional objects | nb_NO |
dc.title.alternative | Unstructured Voronoi grids conforming to lower-dimensional objects | nb_NO |
dc.type | Journal article | nb_NO |
dc.type | Peer reviewed | nb_NO |
dc.description.version | acceptedVersion | nb_NO |
dc.source.pagenumber | 20 | nb_NO |
dc.source.journal | Computational Geosciences | nb_NO |
dc.identifier.doi | 10.1007/s10596-018-9790-0 | |
dc.identifier.cristin | 1620078 | |
cristin.unitcode | 7401,90,11,0 | |
cristin.unitname | Anvendt matematikk | |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 1 | |