Level sets and distance maps: A smart and efficient solution to geological issues

David Ledez. ( 2003 )
in: 23th gOcad Meeting, ASGA

Abstract

In this paper, we present some theoretical concepts of static and dynamic partial differential equation (PDE) for specific applications in geology. All formulations and numerical methods are based on implicit representations on simple rectangular grids, extending to any number of dimensions. The underlying philosophy is to use isosurfaces as modelling technology that can serve as an alternative to parameterized models. The panel of possible applications is wide, starting from geodesic path computation to complex salt body reconstruction, including surface offsetting and first arrival travel time computation in seismic imaging.

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    BibTeX Reference

    @inproceedings{LedezRM2003,
     abstract = { In this paper, we present some theoretical concepts of static and dynamic partial differential equation (PDE) for specific applications in geology. All formulations and numerical methods are based on implicit representations on simple rectangular grids, extending to any number of dimensions. The underlying philosophy is to use isosurfaces as modelling technology that can serve as an alternative to parameterized models. The panel of possible applications is wide, starting from geodesic path computation to complex salt body reconstruction, including surface offsetting and first arrival travel time computation in seismic imaging. },
     author = { Ledez, David },
     booktitle = { 23th gOcad Meeting },
     month = { "june" },
     publisher = { ASGA },
     title = { Level sets and distance maps: A smart and efficient solution to geological issues },
     year = { 2003 }
    }