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Constructing Geometric Models of the Subsurface for Finite Element Simulation

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Constructing Geometric Models of the Subsurface for Finite Element Simulation

Dr. Björn Zehner, Department of Environmental Informatics bjoern.zehner@ufz.de, bzehner@gmx.de

Given at the Annual Conference of the International Association for Mathematical Geosciences (IAMG2011)

Salzburg, Austria, 5th to 9th September, 2011

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General Overview

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General Overview

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Mesh Quality Needed

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Mesh Quality Needed

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Mesh Quality Needed

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Mesh Quality Needed

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I will not present an automatic algorithm !

Which workflow should a geologist follow and

which additional tools does he need to construct a model that fits our needs?

Advantage: In difficult situations that can hardly be meshed it is possible to simplify / generalize the

model including the knowledge from geology.

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Two different examples/approaches for construction

Simple large-scale regional models

ƒWorks projective on the XY plane (layer cake models)

ƒStructurally relative simple

ƒIncorporation of faults is limited to vertical faults and cases where the contact line of the horizons on the fault is known

Fault systems / complicated structures

ƒSmall scale

ƒRequires more individual work

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Example Data: The Thuringian Basin

Data: Martin Kober, 2009

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Large scale models

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Basis Keuper Basis Muschelkalk

Outcrop Muschelkalk

Large scale models

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Basis Keuper Basis Muschelkalk

Outcrop Muschelkalk

Large scale models

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Basis Keuper Basis Muschelkalk

Outcrop Muschelkalk

Large scale models

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Large scale models

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Large scale models

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Large scale models

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Large scale models

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Large scale models

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Large scale models

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Large scale models

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Tetrahedral Grid of the Thuringian Basin as TSolid, Gridding was done using TetGen,

Colours indicate different parts

Large scale models

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Large scale models

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Model of a fault

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Model of a fault

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Model of a fault

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Model of a fault

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Model of a fault

Gmsh, Geuzaine, C. & Remacle, J.-F.

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Model of a fault

Gmsh, Geuzaine, C. & Remacle, J.-F.

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Model of a fault

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Model of a fault

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Model of a fault

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Model of a fault – Finne fault example

Original model provided by Alexander Malz,

University of Jena

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Model of a fault – Finne fault example

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Model of a fault – Finne fault example

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Model of a fault – Finne fault example

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Model of a fault – Finne fault example

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Model of a fault – Finne fault example

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Model of a fault – Finne fault example

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Data-flow

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