Folding and poly-deformation modelling in implicit modelling approach.

Gautier Laurent and Laurent Ailleres and Guillaume Caumon and Lachlan Grose. ( 2014 )
in: Proc. 34th Gocad Meeting, Nancy

Abstract

Implicit surface representations demonstrate advantageous characteristics for modelling geological structures. In the framework of implicit modelling, each structural surface is defined by an isovalue of a scalar field, which is derived from available data by a constrained interpolation. Different methods exist for interpolating this scalar field, but they all share the same type of constraints allowing to impose the value of the scalar field and its gradient at the location of data points. This approach has proved particularly useful for studying uncertainty related to geological structures, for it makes the automation of structural model building and editing easier. However, existing constraints have a very limited structural meaning and they are not able to take into account information as axial surface or fold axis direction. A well know way to further lower uncertainties is to include as much geological knowledge in the process and try to get more from the data when possible. With that in mind, this paper presents a set of constraints that allows to control the geometry of implicit surfaces with fold structural parameters (axial surface, fold axis direction, foliation field and vergence). We propose a workflow for modelling poly-deformed terranes by progressively going backward in time. Each fold is represented by a set of scalar fields. Most recent fold events are modelled first, which helps us to interpolate the geometry of older folds. This process allows to make sense of complex poly-deformed data by filtering the successive events in a similar way to structural geologist approach.

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BibTeX Reference

@inproceedings{Laurent2GM2014,
 abstract = { Implicit surface representations demonstrate advantageous characteristics for modelling geological structures. In the framework of implicit modelling, each structural surface is defined by an isovalue of a scalar field, which is derived from available data by a constrained interpolation. Different methods exist for interpolating this scalar field, but they all share the same type of constraints allowing to impose the value of the scalar field and its gradient at the location of data points. This approach has proved particularly useful for studying uncertainty related to geological structures, for it makes the automation of structural model building and editing easier. However, existing constraints have a very limited structural meaning and they are not able to take into account information as axial surface or fold axis direction. A well know way to further lower uncertainties is to include as much geological knowledge in the process and try to get more from the data when possible. With that in mind, this paper presents a set of constraints that allows to control the geometry of implicit surfaces with fold structural parameters (axial surface, fold axis direction, foliation field and vergence).
We propose a workflow for modelling poly-deformed terranes by progressively going backward in time. Each fold is represented by a set of scalar fields. Most recent fold events are modelled first, which helps us to interpolate the geometry of older folds. This process allows to make sense of complex poly-deformed data by filtering the successive events in a similar way to structural geologist approach. },
 author = { Laurent, Gautier AND Ailleres, Laurent AND Caumon, Guillaume AND Grose, Lachlan },
 booktitle = { Proc. 34th Gocad Meeting, Nancy },
 title = { Folding and poly-deformation modelling in implicit modelling approach. },
 year = { 2014 }
}