Mathematical Geosciences

, 43:861 | Cite as

Multiple-Point Statistics for Modeling Facies Heterogeneities in a Porous Medium: The Komadugu-Yobe Alluvium, Lake Chad Basin

  • Mathieu Le Coz
  • Pierre Genthon
  • Pierre M. Adler
Case Study


Multiple-point statistics are used to model facies heterogeneities in the vadose zone of the Komadugu-Yobe River valley (southeastern Niger) which is presently submitted to an undergoing intensive agricultural development; therefore, increasing quantitative and qualitative pressures are exerted on groundwater resources. The sand–clay heterogeneities are analyzed by means of a Landsat image acquired during a high flow period over a 160 km stretch in the downstream part of the valley and a set of 50 boreholes drilled near the town of Diffa (4 km×4 km area). The horizontal variograms of heterogeneities are characterized by a noticeably constant length scale of 380 m and clayey objects are shown to be randomly distributed in space according to a Poisson process. A set of two-dimensional vertical images is built based on a Boolean procedure and the Snesim algorithm is used to simulate synthetic three-dimensional media. When the vertical correlation length is fitted, the three-dimensional model satisfactorily reproduces the second order statistics of heterogeneities and the specific facies patterns.


Multiple-point statistics Facies modeling Variographic analysis Komadugu–Yobe River Fluvial deposits 


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Copyright information

© International Association for Mathematical Geosciences 2011

Authors and Affiliations

  • Mathieu Le Coz
    • 1
    • 2
  • Pierre Genthon
    • 1
  • Pierre M. Adler
    • 3
  1. 1.IRDUMR HydroSciences MontpellierNiameyNiger
  2. 2.UM2UMR HydroSciences MontpellierMontpellierFrance
  3. 3.UPMC-SisypheParisFrance

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