2012
DOI: 10.1190/1.3694900
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Unified geophysical and geological 3D Earth models

Abstract: Three-dimensional geological Earth models typically comprise wireframe surfaces of connected triangles that represent geological contacts. In contrast, Earth models used by most current 3D geophysical numerical modeling and inversion methods are built on rectilinear meshes. This is because the mathematics for computing data responses are simpler on rectilinear meshes. In such a model, the relevant physical properties are uniform within each brick-like cell but possibly different from one cell to the next, prod… Show more

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Cited by 36 publications
(9 citation statements)
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“…Then, it may be convenient to divide the model into triangular (2D) or tetrahedral (3D) cells of different size (Fomel and Guitton, 2006;Lelièvre et al, 2012).…”
Section: Discussionmentioning
confidence: 99%
“…Then, it may be convenient to divide the model into triangular (2D) or tetrahedral (3D) cells of different size (Fomel and Guitton, 2006;Lelièvre et al, 2012).…”
Section: Discussionmentioning
confidence: 99%
“…As a result of these problems, researchers have developed and are developing procedures that make use of unstructured meshes. Within the computer science community, the generation of quality unstructured meshes is a topic of ongoing research (Si 2008;Lelièvre et al 2012;Lelièvre and Farquharson 2013). Typical meshes of this type comprise interlocking tetrahedra although other options for the cell type are possible.…”
Section: Unified Geophysical and Geological 3-d Earth Modelsmentioning
confidence: 99%
“…They are flexible in terms of their ability to represent generally-oriented contact surfaces and this functionality is important to relate to tessellated wireframe surfaces. As described by Lelièvre et al (2012), the unstructured meshing discretizes the volume between tessellated surfaces while exactly maintaining those surfaces. Hence, unstructured tetrahedral meshes can honour geological contacts, can incorporate prior information associated with structurally complicated subsurface geometries and can do this with an efficient discretization of the model-ling domain compared to the less flexible alternative of a rectilinear mesh.…”
Section: Unified Geophysical and Geological 3-d Earth Modelsmentioning
confidence: 99%
“…To cope with these issues, OcTree meshes are used by Horesh and Haber (2011). OcTree methods have many of the advantages of rectilinear grids, but the schemes are more complicated than the original Yee scheme, and they require more cells compared to completely unstructured methods to adapt to topography and irregular interfaces (see, for example, Figure 3 in Lelièvre et al, 2012).…”
Section: Introductionmentioning
confidence: 99%