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Improved facies modelling with multivariate spatial statistics

  • Author / Creator
    Li, Yupeng
  • This dissertation proposes an improved facies modelling methodology that involves a new geological spatial characterization tool, a geological based spatial distance calculation, and a theoretically sound conditional probability calculation. The full set of bivariate probabilities are proposed as a spatial characterization tool that integrates facies stacking information into the final facies model construction. After inference in the vertical direction from well data, they can be transformed to any spatial distance vector based on a heterogeneity prototype and the calculation approach proposed in this research. The data information carried by the bivariate probabilities will be integrated together into a multivariate probability based on the minimum Kullback--Leibler distance. From this estimated multivariate probability, the conditional probability for each unsampled location is calculated directly. The research developed in this dissertation adds a new geostatistical facies modelling approach to currently available tools. It provides a new approach to integrate more geological understanding in the final model. It could be used in practice and as a seed for further development.

  • Subjects / Keywords
  • Graduation date
    2011-11
  • Type of Item
    Thesis
  • Degree
    Doctor of Philosophy
  • DOI
    https://doi.org/10.7939/R3FW98
  • License
    This thesis is made available by the University of Alberta Libraries with permission of the copyright owner solely for non-commercial purposes. This thesis, or any portion thereof, may not otherwise be copied or reproduced without the written consent of the copyright owner, except to the extent permitted by Canadian copyright law.
  • Language
    English
  • Institution
    University of Alberta
  • Degree level
    Doctoral
  • Department
    • Department of Civil and Environmental Engineering
  • Supervisor / co-supervisor and their department(s)
    • Deutsch, Clayton V. (Civil and Environmental)
  • Examining committee members and their departments
    • Boisvert, Jeff (Civil and Environmental)
    • Zhang, Peng (Mathematical and Statistical Sciences)
    • Askari-Nasab, Hooman (Civil and Environmental)
    • Kyriakidis, Phaedon (Department of Geography at University of California Santa Barbara)
    • Joseph, Timothy G. (Civil and Environmental)