Implicit Approximation of Neural Network and Applications
- Dao-lun Li (University of Science and Technology of China) | De-tang Lu (University of Science and Technology of China) | Wen-shu Zha (University of Science and Technology of China)
- Document ID
- Society of Petroleum Engineers
- SPE Reservoir Evaluation & Engineering
- Publication Date
- December 2009
- Document Type
- Journal Paper
- 921 - 928
- 2009. Society of Petroleum Engineers
- 4 in the last 30 days
- 579 since 2007
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It is common practice that one of the reservoir properties is recognized as a complex function of several interrelated factors in neural-network applications used in oil-reservoir studies. Few methods are based on one reservoir property being recognized as a function of time and the spatial locations, which means that the reservoir-property data can be described as a time vector series. It is a great challenge for the artificial neural network to describe a time vector series because the neural network is unable to approximate a multivariate vector function effectively. By combining the principle of implicit curves and surfaces with the neural network, we present a novel way to process the time vector series. The method includes the following steps: mapping data, constructing an explicit function, training the neural network, extracting the isoline, and inverse mapping.
This paper presents an application to predict the isotope-logging data in 2002 with the known data from 2001 and 2003.
|File Size||687 KB||Number of Pages||8|
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