Reconstruction of channelized systems through a conditioned reverse migration method

in: Mathematical Geosciences, 49:8 (965-994)

Abstract

Geological heterogeneities directly control underground flows. In channelized sedimentary environments, their determination is often underconstrained: it may be possible to observe the most recent channel path and the abandoned meanders on seismic images, but smaller-scale structures are generally below seismic resolution. In this paper, reconstruction of channelized systems is proposed with a stochastic inverse simulation reproducing the reverse migration of the system. Maps of the recent trajectories of the Mississippi river were studied to define appropriate relationships between simulation parameters. Namely, after measurements of curvature and migration vectors, it has been observed (i) no significant correlation between curvature and migration amplitude and (ii) at half-meander scale an anti-correlation of downstream and lateral migration amplitudes versus the curvature. The proposed reverse migration method uses these correlations to build possible paleo-trajectories of the river starting from the last stage of the sequence observed on present-day (satellite or seismic) data. As abandoned meanders provide clues about the paleo-locations of the river, they are integrated step by step during the reverse simulation process. The method has been applied on satellite images of a fluvial system. Each of the different resulting geometries of the system honors most of the available observations and presents meandering patterns similar to the observed ones.

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BibTeX Reference

@ARTICLE{Parquer2017b,
    author = { Parquer, Marion and Collon, Pauline and Caumon, Guillaume },
     title = { Reconstruction of channelized systems through a conditioned reverse migration method },
   journal = { Mathematical Geosciences },
    volume = { 49 },
    number = { 8 },
      year = { 2017 },
     pages = { 965-994 },
       doi = { 10.1007/s11004-017-9700-3 },
  abstract = { Geological heterogeneities directly control underground flows. In channelized sedimentary environments, their determination is often underconstrained: it may be possible to observe the most recent channel path and the abandoned meanders on seismic images, but smaller-scale structures are generally below seismic resolution.
In this paper, reconstruction of channelized systems is proposed with a stochastic inverse simulation reproducing the reverse migration of the system. Maps of the recent trajectories of the Mississippi river were studied to define appropriate relationships between simulation parameters. Namely, after measurements of curvature and migration vectors, it has been observed (i) no significant correlation between curvature and migration amplitude and (ii) at half-meander scale an anti-correlation of downstream and lateral migration amplitudes versus the curvature. The proposed reverse migration method uses these correlations to build possible paleo-trajectories of the river starting from the last stage of the sequence observed on present-day (satellite or seismic) data. As abandoned meanders provide clues about the paleo-locations of the river, they are integrated step by step during the reverse simulation process. The method has been applied on satellite images of a fluvial system. Each of the different resulting geometries of the system honors most of the available observations and presents meandering patterns similar to the observed ones. }
}