A multiple-point statistics algorithm for 3D pore space reconstruction from 2D images

Hajizadeh, A ; Sharif University of Technology | 2011

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  1. Type of Document: Article
  2. DOI: 10.1016/j.advwatres.2011.06.003
  3. Publisher: 2011
  4. Abstract:
  5. Fluid flow behavior in a porous medium is a function of the geometry and topology of its pore space. The construction of a three dimensional pore space model of a porous medium is therefore an important first step in characterizing the medium and predicting its flow properties. A stochastic technique for reconstruction of the 3D pore structure of unstructured random porous media from a 2D thin section training image is presented. The proposed technique relies on successive 2D multiple point statistics simulations coupled to a multi-scale conditioning data extraction procedure. The Single Normal Equation Simulation Algorithm (SNESIM), originally developed as a tool for reproduction of long-range, curvilinear features of geological structures, serves as the simulation engine. Various validating criteria such as marginal distributions of pore and grain, directional variograms, multiple-point connectivity curves, single phase effective permeability and two phase relative permeability calculations are used to analyze the results. The method is tested on a sample of Berea sandstone for which a 3D micro-CT scanning image is available. The results confirm that the equi-probable 3D realizations obtained preserve the typical patterns of the pore space that exist in thin sections, reproduce the long-range connectivities, capture the characteristics of anisotropy in both horizontal and vertical directions and have single and two phase flow characteristics consistent with those of the measured 3D micro-CT image
  6. Keywords:
  7. Porous media reconstruction ; 2D images ; Berea sandstone ; Data extraction ; Effective permeability ; Flow properties ; Geological structures ; Long-range connectivities ; Marginal distribution ; Micro CT ; Micro-CT imaging ; Micro-CT scanning ; Multiple-point statistics ; Multiscales ; Normal equations ; Pore space ; Random porous media ; Relative permeability ; Simulation algorithms ; Simulation engine ; Single phase ; Single- and two-phase flow ; Stochastic techniques ; Thin section ; Three-dimensional pores ; Training image ; Two phase ; Typical patterns ; Variograms ; Vertical direction ; Algorithms ; Computerized tomography ; Flow of fluids ; Porous materials ; Two phase flow ; Three dimensional ; Computer simulation ; Flow modeling ; Fluid flow ; Image analysis ; Permeability ; Porous medium ; Sandstone ; Stochasticity ; Three-dimensional modeling ; Two phase flow ; Two-dimensional modeling
  8. Source: Advances in Water Resources ; Volume 34, Issue 10 , October , 2011 , Pages 1256-1267 ; 03091708 (ISSN)
  9. URL: http://www.sciencedirect.com/science/article/pii/S030917081100114X