Simulation of Multidimensional Binary Random Fields with Application to Modeling of Two-Phase Random Media
Publication: Journal of Engineering Mechanics
Volume 132, Issue 6
Abstract
This paper proposes a methodology for simulation of binary random fields with application to the problem of generating sample realizations of two-phase random media. The methodology is based on the concept of nonlinear transformations with memory of Gaussian random fields. The simulation is performed according to the autocorrelation function of the binary field which contains considerable information about the microstructural characteristics of the medium. The determination of the probabilistic characteristics of the underlying Gaussian field is achieved through an iterative procedure that was introduced in a previous paper by the same authors in one dimension and is extended here to multiple dimensions. Limiting cases and alternative mappings are also presented. The capabilities of the methodology are demonstrated in a series of examples.
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Acknowledgments
This work was supported by the National Science Foundation under collaborative Grant No. NSFCMS-0084533/0084547, with Dr. Ken Chong as Program Director.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 132 • Issue 6 • June 2006
Pages: 619 - 631
Copyright
© 2006 ASCE.
History
Received: Dec 28, 2004
Accepted: Aug 23, 2005
Published online: Jun 1, 2006
Published in print: Jun 2006
Notes
Note. Associate Editor: Arvid Naess
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