Accurate modeling and evaluation of microstructures in complex materials

Pejman Tahmasebi
Phys. Rev. E 97, 023307 – Published 20 February 2018

Abstract

Accurate characterization of heterogeneous materials is of great importance for different fields of science and engineering. Such a goal can be achieved through imaging. Acquiring three- or two-dimensional images under different conditions is not, however, always plausible. On the other hand, accurate characterization of complex and multiphase materials requires various digital images (I) under different conditions. An ensemble method is presented that can take one single (or a set of) I(s) and stochastically produce several similar models of the given disordered material. The method is based on a successive calculating of a conditional probability by which the initial stochastic models are produced. Then, a graph formulation is utilized for removing unrealistic structures. A distance transform function for the Is with highly connected microstructure and long-range features is considered which results in a new I that is more informative. Reproduction of the I is also considered through a histogram matching approach in an iterative framework. Such an iterative algorithm avoids reproduction of unrealistic structures. Furthermore, a multiscale approach, based on pyramid representation of the large Is, is presented that can produce materials with millions of pixels in a matter of seconds. Finally, the nonstationary systems—those for which the distribution of data varies spatially—are studied using two different methods. The method is tested on several complex and large examples of microstructures. The produced results are all in excellent agreement with the utilized Is and the similarities are quantified using various correlation functions.

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  • Received 24 November 2017

DOI:https://doi.org/10.1103/PhysRevE.97.023307

©2018 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
  1. Physical Systems
Statistical Physics & ThermodynamicsCondensed Matter, Materials & Applied Physics

Authors & Affiliations

Pejman Tahmasebi*

  • Department of Petroleum Engineering, University of Wyoming, Laramie, Wyoming 82071, USA

  • *ptahmase@uwyo.edu

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Issue

Vol. 97, Iss. 2 — February 2018

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