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1990 Source of comparison aCalculated values for Eq. 7 in text: C, constant of proportionality; n, slope of line fit to cumulative frequency versus size distributions; r2, coefficient to fit; D, fractal dimension. te is the total volume of hydrocarbon ever to be produced; lVundi" is the volume of undiscovered hydrocarbons. 03 and 0 mmBOE. The percent undiscovered comparison column is calculated from the source referenced. mmBOE is millions of barrels of oil equivalent. , 1990 Fig. , 1988, Fig.

See color insert opposite page 96. 27 2. 8. Map of hydrocarbon wells drilled in the Powder River basin through 1986. Map from Higley et al. (1990). See color insert opposite page 96. combination of geologic factors including structural and sedimentological features, stratigraphy, lithification history, porosity, permeability, and thermal and pressure histories. Such complex systems often contain many degrees of freedom, but do not necessarily give rise to fractal clustering in space. Standard statistical tests only reveal fractal clusters to be random and fail to reveal levels of order that pervade the spatial clustering over many orders of magnitude in length scale, a characteristic that distinguishes fractal patterns from other random patterns.

According to Encyclopedia Britannica, many other characteristics of rivers are fractional powers of each other. 7; this shows that the distribution of the drainage area would be itself Paretian, with an exponent close to I. 5, depth = constant (discharge)OA, velocity = constant (discharge)OI These three exponents add to one, in conformity with the indications of dimensional analysis. The above relations suggest that many other dimensions of rivers are also Paretian. Further, A shows that, according to Morlat et al.

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