Geologic heterogeneity recognition using discrete wavelet transformation for subsurface flow solute transport simulations

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Hussein Mustapha
  • Snehamoy Chatterjee
  • Roussos Dimitrakopoulos
  • Thomas Graf

External Research Organisations

  • McGill University
  • National Institute of Technology Rourkela
  • Schlumberger Cambridge Research
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Details

Original languageEnglish
Pages (from-to)22-37
Number of pages16
JournalAdvances in water resources
Volume54
Early online date14 Dec 2012
Publication statusPublished - Apr 2013

Abstract

Subsurface flow and solute transport simulations are performed using different scenarios of permeability fields generated from the sequential Gaussian simulation method (SGS), the multiple-point FILTERSIM algorithm and a new multiple-point wavelet-based simulation method (SWS). The SWS method is a multiple-point pattern-based simulation method which uses discrete wavelet transformation for the representation of geologic heterogeneity. For pattern-based simulation, patterns are generated by scanning a training image with a spatial template. The pattern classifications were performed after reducing the dimension of patterns by wavelet decomposition at the suitable scale and by taking only scaling components of wavelet decomposed patterns. The simulation is performed in a sequential manner by finding the best-matched class corresponding to the conditioning data and by randomly sampling a pattern from the best-matched class. The developed method is compared with two other multi-point simulation algorithms, FLTERSIM and SIMPAT. The comparative results revealed that the proposed method is computationally faster than the other two methods while the simulation maps are comparable. Numerical simulations of two flow problems are performed using SGS, SWS and FILTERSIM realizations. The numerical results show a superiority of the SWS method over SGS and FILTERSIM in terms of reproduction of the reference images main features, and agreement with flow and transport results obtained on reference images.

Keywords

    Connectivity, Geologic heterogeneity, Geostatistical simulation, Multiphase flow, Spatial patterns, Wavelet analysis

ASJC Scopus subject areas

Cite this

Geologic heterogeneity recognition using discrete wavelet transformation for subsurface flow solute transport simulations. / Mustapha, Hussein; Chatterjee, Snehamoy; Dimitrakopoulos, Roussos et al.
In: Advances in water resources, Vol. 54, 04.2013, p. 22-37.

Research output: Contribution to journalArticleResearchpeer review

Mustapha H, Chatterjee S, Dimitrakopoulos R, Graf T. Geologic heterogeneity recognition using discrete wavelet transformation for subsurface flow solute transport simulations. Advances in water resources. 2013 Apr;54:22-37. Epub 2012 Dec 14. doi: 10.1016/j.advwatres.2012.11.018
Mustapha, Hussein ; Chatterjee, Snehamoy ; Dimitrakopoulos, Roussos et al. / Geologic heterogeneity recognition using discrete wavelet transformation for subsurface flow solute transport simulations. In: Advances in water resources. 2013 ; Vol. 54. pp. 22-37.
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