Conditional Simulation of a Class of Nonstationary Space-Time Random Fields
Publication: Journal of Engineering Mechanics
Volume 126, Issue 4
Abstract
This paper first addresses the problem of conditionally simulating stationary, space-time, Gaussian random fields. A method developed for quadrant-symmetric, stationary, space-time fields is extended to account for the imaginary part of the complex cross-spectrum. The case of amplitude- and frequency-modulated (AFM) nonstationary space-time fields is studied next. The evolutionary spectral density and cross-correlation structure of such a class of nonstationary random fields are analyzed in terms of the envelope and frequency modulation functions. A method for the conditional simulation of AFM space-time fields is advanced. The AFM nonstationary fields are mapped to a domain where the conditional simulation is performed as for stationary, space-time fields. Examples are given to illustrate the use and capabilities of the method including applications to the simulation of earthquake ground motions.
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Information & Authors
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Published In
Journal of Engineering Mechanics
Volume 126 • Issue 4 • April 2000
Pages: 398 - 404
History
Received: Mar 16, 1999
Published online: Apr 1, 2000
Published in print: Apr 2000
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