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| Evaluating regular parameter of Phillips method and assessing inversions based on BG theory |
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GAO Yang1, XIAO Li-Zhi2, XIE Qing-Ming3
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(1.College of Science in China University of Petroleum, Beijing 102249, China;2.College of Geophysics and Information Engineering in China University of Petroleum, Beijing 102249, China;3.Key Laboratory of Shale Gas Exploration, Ministry of Land and Resources, Chongqing Institute of Geology and Mineral Resources, Chongqing 400042, China)
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| Abstract: |
| In the Phillips-Twomey method, it is essential to find a suitable regular parameter r. The selection of the parameter r remains practically difficult, and is often biased by researcher 's subjectivity. Finding a suitable regular parameter r in using Phillips-Twomey method to inverse nuclear magnetic resonance(NMR) logging transverse relaxation time was focused on. The way to finding the suitable r was based on the compromise criterion in BG theory and the r minimal criterion. The inversed transverse relaxation time was also assessed through the resolution matrix and the covariance matrix. Digital simulation and core analysis show that the approach in determining the regular parameter r of the Phillips-Twomey inverse method works very well for the inverse of NMR transverse relaxation time. Core analysis also shows that this method is better than the classical SVD method without subjective bias. |
| Key words: nuclear magnetic resonance logging(NMR logging) Phillips-Twomey method resolution matrix covariance matrix compromise criterion |
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