HW-4 solution

# HW-4 solution - PGE337 Introduction to Geostatistics...

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PGE337 Introduction to Geostatistics Homework # 4 Solution Question 1 The following porosity data was measured in a reservoir: Porosity 0.28 0.31 0.35 0.29 0.15 0.33 0.27 0.18 0.2 0.26 a. ( 5 points) Is there any evidence of clustering of the data? If so, what do you expect the profile for the declustered mean to bin size to look like? Yes, there is an evidence of clustering of data towards high porosity from .25-.30. Thus, I would expect the profile for the declustered mean to bin size to look below. b. (15 points) Perform declustering using class sizes of 0.02, 0.05 and 0.10 (using EXCEL). What is the optimum declustered cdf ? Using the optimum bin size, which is 0.05, will give the optimum declustered cdf. Bin size 0.05 Frequency Below 0.1 0 0.1-0.15 1 0.15-0.2 2 0.2-0.25 0 0.25-0.3 4 0.3-0.35 3 Above 0.35 0 Number of bin 4 Porosity Declustered PDF Declustered CDF 0.15 0.25 0.25 0.18 0.125 0.375 0.2 0.125 0.5 0.26 0.0625 0.5625 0.27 0.0625 0.625 0.28 0.0625 0.6875 0.29 0.0625 0.75 0.31 0.083333333 0.833333333 0.33 0.083333333 0.916666667 0.35 0.083333333 1 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 CDF Porosity Original clustered CDF Optimum declustered CDF

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Variations in the CDF may be possible if the starting values for the class intervals are shifted with same bin size. Thus, in general, the declustering is performed with several shifts of
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## This note was uploaded on 11/01/2011 for the course PGE 337 taught by Professor Jablonowski during the Fall '08 term at University of Texas at Austin.

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HW-4 solution - PGE337 Introduction to Geostatistics...

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