Graduate Thesis Or Dissertation
Spatial Geostatistics, Lateral Variability, and Scale Invariance of Variogram Properties Within Dolomites Public Deposited
https://scholar.colorado.edu/concern/graduate_thesis_or_dissertations/0g354f477
- Abstract
- Previous research into the lateral variability of dolostones’ attributes at outcrop and subsurface interwell scale suggest that variogram properties such as the correlation range and hole-effect wavelength may follow a power-law function with respect to the scale at which sampling is conducted. The research question posed in this thesis is, does a power-law relationship exist between variogram attributes (i.e., correlation range and hole-effect wavelength) and sampling scale across greater magnitudes of scale (i.e. from thin-section to interwell scale). This question was addressed by analyzing the spatial variability of various properties of dolomites at sub-meter sampling scales (thin-section, outcrop slab, and outcrop photomosaics). Porosity and permeability were analyzed on five outcrop slabs and were shown to have either long-range trends or apparent correlation ranges of 4-20 cm and hole-effects with wavelengths of 20-30 cm. Thin-sections were collected from each of these slabs and analyzed for porosity. These sample were shown to have either long-range trends or apparent correlation ranges of 0.2-0.5 cm and hole-effect wavelengths of 2.8-4.6 cm. Outcrop photomosaics were shown to have either long-range trends or apparent correlation ranges of 5-230 cm and hole effects with wavelengths of 70-560 cm. The data collected herein and previously collected literature data do define a power-law relationship for both correlation range and hole-effect wavelength over several magnitudes of sampling scale. Three possible hypotheses were considered as explanations of this relationship.
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- Date Issued
- 2012
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- Last Modified
- 2019-11-17
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Thumbnail | Title | Date Uploaded | Visibility | Actions |
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spatialGeostatisticsLateralVariabilityAndScaleInvariance.pdf | 2019-11-17 | Public | Download |