Mathematical Geology

, Volume 28, Issue 7, pp 857–880 | Cite as

Hierarchical object-based stochastic modeling of fluvial reservoirs

  • Clayton V. Deutsch
  • Libing Wang


This paper describes a novel approach to modeling braided stream fluvial reservoirs. The approach is based on a hierarchical set of coordinate transformations involving relative straingraphic coordinates, translations, rotations, and straightening functions. The emphasis is placed on geologically sound geometric concepts and realistically-attainable conditioning statistics including areal and vertical facies proportions. Modeling proceeds in a hierarchical fashion, that is (1) a stratigraphic coordinate system is established for each reservoir layer, (2) a number of channel complexes are positioned within each layer, and then (3) channels are positioned within each channel complex. The geometric specification of each sand-filled channel within the background of floodplain shales is a marked point process. Each channel is marked with a starting location, size parameters, and sinuosity parameters. We present the hierarchy of eight coordinate transformations, introduce an analytical expression for the channel cross-section shape, describe the simulation algorithm, and demonstrate how the realizations are made to honor local conditioning data from wells and global conditioning data such as areal and vertical proportions.

Key words

marked point processes Boolean modeling geostatistical reservoir modeling coordinate transformation data conditioning 


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Copyright information

© International Association for Mathematical Geology 1996

Authors and Affiliations

  • Clayton V. Deutsch
    • 1
  • Libing Wang
    • 1
  1. 1.Stanford Center for Reservoir ForecastingStanford UniversityStanford

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