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The AAPG/Datapages Combined Publications Database
AAPG Bulletin
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A profitable approach to quantitative geology is by identification of the methods currently employed. It is clear, for example, that the intuitive notion of correlation is vastly more general than the mathematical operation of the same name. Most obvious among the differences is the lack of provision for stretching or shrinking of scales during comparison.
The ambiguity function, an elementary extension of cross correlation, includes a scale variable, has a name taken from the parlance of radar engineers, and was devised originally for measuring target velocities or detecting fast-moving targets. Yet these same principles offer an effective means for identifying thinning or thickening stratigraphic sections with the use of well-log characteristics for matching magnetic profiles and following trends, or for estimating dispersion from seismic results.
Other applications will become apparent as the theory is exposed and simple examples studied. The principal accomplishment, however, is to bring the mathematical model of the correlation concept one step closer to the definition implied by actual practice.
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