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Generation of conforming meshes in complex geological formations starting from point clouds describing internal interfaces

Diego Destino

Generation of conforming meshes in complex geological formations starting from point clouds describing internal interfaces.

Rel. Stefano Berrone. Politecnico di Torino, Corso di laurea magistrale in Ingegneria Matematica, 2021

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Abstract:

By considering a domain formed by a geological basin crossed by several complex layers and faults, each of these interfaces provided by a cloud of points, the candidate manages to detect for each surface its border points and then he creates a transfinite surface controlled by the behaviour of the boundaries which is parametrized in a square and approximates the given points. A numerical minimization steepest descent is then used in order to minimize for each point of the original cloud its distance from the transfinite surface by computing their projection corresponding to the right 2D parametric coordinates of the surface. The worst points, meaning the ones that present the greatest distance from their projection, are taken together with some boundary points and then a 2D triangular mesh is created on transfinite surface parametric coordinates by using triangle. It is then considered the corresponding 3D triangular mesh by taking the corresponding Transfinite surface point if the point is not one of the worst, and the original point otherwise. All the meshes are intersected in order to manage touching triangles. Finally a tethraedal mesh fitting the faces of the meshes as constraints is generated for the space describing the layers of earth in order to make further numerical analyses.

Relatori: Stefano Berrone
Anno accademico: 2021/22
Tipo di pubblicazione: Elettronica
Numero di pagine: 51
Soggetti:
Corso di laurea: Corso di laurea magistrale in Ingegneria Matematica
Classe di laurea: Nuovo ordinamento > Laurea magistrale > LM-44 - MODELLISTICA MATEMATICO-FISICA PER L'INGEGNERIA
Aziende collaboratrici: NON SPECIFICATO
URI: http://webthesis.biblio.polito.it/id/eprint/19852
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