A fully-anisotropic Morlet wavelet to identify dominant orientations in a porous medium

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• 作者：Neupauer ; Roseanna M. ; Powell ; Kaye L.
• 关键词：Wavelet ; Anisotropy ; Morlet wavelet ; Permeability
• 刊名：Computers and Geosciences
• 出版年：2005
• 出版时间：May, 2005
• 年：2005
• 卷：31
• 期：4
• 页码：465-471
• 全文大小：409 K

文摘

Wavelet analysis can be used to extract local information from a signal or random field. We introduce a new fully-anisotropic Morlet wavelet to identify dominant orientations in anisotropic random fields. The standard Morlet wavelet is a complex-valued wavelet that has directionally-dependent real and imaginary parts but is isotropic in magnitude. Our new fully-anisotropic Morlet wavelet is anisotropic in its real and imaginary parts and also in its magnitude. We use this wavelet to identify dominant orientations in the permeability field of a me=""mml13"">method=retrieve&_udi=B6V7D-4F29SK0-2&_mathId=mml13&_user=10&_cdi=5840&_rdoc=7&_handle=V-WA-A-W-AB-MsSAYVW-UUW-U-AAWCVDUCCC-AAWBUCABCC-WCDDEZDDY-AB-U&_acct=C000050221&_version=1&_userid=10&md5=035d914af384ec0ca8e4fe4783d3cfed"">mg src=""http://www.sciencedirect.com/cache/MiamiImageURL/B6V7D-4F29SK0-2-18/0?wchp=dGLzVzz-zSkWz"" alt=""Click to view the MathML source"" align=""absbottom"" border=""0"" height=11 width=61> block of Massillon sandstone. We show that this fully-anisotropic Morlet wavelet is more effective than the standard Morlet wavelet at identifying dominant orientations in two-dimensional anisotropic random fields.