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Inference from noisy data with an unknown number of discontinuities: ideas from outside the box

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Sambridge, M and Bodin, T and Reading, AM and Gallagher, K (2010) Inference from noisy data with an unknown number of discontinuities: ideas from outside the box. ASEG Extended Abstracts, 1. pp. 1-5.

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Abstract

The focus of this presentation is on new ways to extract information from complex datasets in situations where direct measurement is not possible. Such inverse problems are ubiquitous across the physical and mathematical sciences and are central to discovery of resources within the Earth upon which Australian society is dependent. A recurring problem is how to choose the number of unknowns with which to fit data. If too few are chosen the data cannot be fit and if too many the inversion results become unreliable and contain unwarranted detail. Statistical methods are often used to find optimal numbers of unknowns, but these are based on simplistic assumptions and require multiple trial inversions to be performed with different numbers of variables. A new general approach recently applied to geophysical problems is to ask the data itself `How many unknowns should be used ?’ While this may seem counter-intuitive at first sight it turns out to be entirely feasible. In effect the number of unknowns itself becomes an unknown. An extension of the basic approach also allows the level of noise on the data to also be included as an unknown. In this presentation we outline the central ideas, and illustrated through an example where a geophysical property varies only in 1-D (usually depth or time) and is constrained from surface measurements. Applications of the general approach are to airborne EM data, borehole geophysics, seismic interpretation and also palaeoclimate reconstructions.

Item Type: Article
Keywords: Geophysical inversion methods, disocontinuous fields, seismic, wireline, AEM.
Journal or Publication Title: ASEG Extended Abstracts
Page Range: pp. 1-5
Identification Number - DOI: 10.1071/ASEG2010ab044
Additional Information: © ASEG 2010 [earlier title: Data inference in the 21st Century: Some ideas from outside the box]
Date Deposited: 08 Dec 2010 22:59
Last Modified: 18 Nov 2014 04:15
URI: http://eprints.utas.edu.au/id/eprint/10471
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