By Jeffrey M. Yarus, Richard L. Chambers
ISBN-10: 0891817026
ISBN-13: 9780891817024
An exceptional insurance of modeling and simulating geological occasions.
Read Online or Download Stochastic Modeling and Geostatistics Principles, Methods, and Case Studies (Aapg Computer Applications in Geology ; No. 3) PDF
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Extra resources for Stochastic Modeling and Geostatistics Principles, Methods, and Case Studies (Aapg Computer Applications in Geology ; No. 3)
Sample text
That is, the smaller the permeability plug, the higher the variance between plugs taken in near proximity. This is a classic problem of sample support and must be dealt with before variograms or similar measures of spatial variability are calculated. A sample volume more relevant for permeability measurement should vary with the scale of spatial variability of the substructures. We show how image-based data defining the porous microstructure can be combined with physical measurements to provide information for modeling permeability at scales greater than a permeability plug.
It took me six trials to refine the approximation and decide that the model denoted by the solid line in Figure 4 was the best one. The fitting, especially for small lags, is good enough to discard the use of nested models. 125 For the automatic fitting I used a program prepared by Jian et al. (1995). The program provided in a fraction of a second the best fit for up to seven models using weights inversely proportional to the standard deviation of the n(h) pairs of points used to estimate ˆ each γ(h) (see page 22).
In practice, both the estimation and the fitting are complicated by the attention one must pay to several important details: support must be homogeneous; fluctuations in the mean should not have a systematic variation; proper estimation requires at least 30 pairs for every lag smaller than one-half the maximum lag; provided the sample is large enough, the estimate should consider a sensitivity analysis to the azimuth; and the models are not linear with respect to their parameters. Modeling is necessary whenever the semivariogram is required for kriging or simulation, the most common situation.
Stochastic Modeling and Geostatistics Principles, Methods, and Case Studies (Aapg Computer Applications in Geology ; No. 3) by Jeffrey M. Yarus, Richard L. Chambers
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