Abstract #300900

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JSM 2003 Abstract #300900
Activity Number: 98
Type: Contributed
Date/Time: Monday, August 4, 2003 : 9:00 AM to 10:50 AM
Sponsor: Section on Statistics & the Environment
Abstract - #300900
Title: An Information Measure: Standardized Entropy
Author(s): Yuhong Liu*+ and Ruidong Sun
Companies: Stanford University and Schlumberger GeoQuest
Address: PO Box 11119, Stanford, CA, 94309-1119,
Keywords: information measure ; entropy ; standardized entropy ; geostatistics
Abstract:

It is a common problem in earth science to build a 3-D model of an unknown property from sparsely sampled data collected in an underground study zone. Geostatistics, an interdisciplinary field between statistics and earth science, provides a way to deal with the problem quantitatively. It tries to characterize the rock property spatially while honoring different sources of information. The final result can be either a single pointwise-optimal estimated model, or multiple equi-probable simulated numerical models that capture the spatial structures. With these models, earth scientists can gain a better understanding of the distribution of the unknown property and evaluate the uncertainty and associated risk. One challenge in geostatistics is how to combine all available sources of information in a stochastic simulation process, when different data are dependent with each other. We propose a standardized entropy measure to evaluate the information content of each source of information. Various numerical data sets are generated to test this measurement. It is shown that it is not only easy to implement, but also always provides the best estimation.

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