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Implication of adaptive smoothness constraint and Helmert variance component estimation in seismic slip inversion
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نویسنده
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Fan Qingbiao ,Xu Caijun ,Yi Lei ,Liu Yang ,Wen Yangmao ,Yin Zhi
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منبع
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journal of geodesy - 2017 - دوره : 91 - شماره : 10 - صفحه:1163 -1177
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چکیده
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When ill-posed problems are inverted, the regularization process is equivalent to adding constraint equations or prior information from a bayesian perspective. the veracity of the constraints (or the regularization matrix r) significantly affects the solution, and a smoothness constraint is usually added in seismic slip inversions. in this paper, an adaptive smoothness constraint (asc) based on the classic laplacian smoothness constraint (lsc) is proposed. the asc not only improves the smoothness constraint, but also helps constrain the slip direction. a series of experiments are conducted in which different magnitudes of noise are imposed and different densities of observation are assumed, and the results indicated that the asc was superior to the lsc. using the proposed asc, the helmert variance component estimation method is highlighted as the best for selecting the regularization parameter compared with other methods, such as generalized cross-validation or the mean squared error criterion method. the asc also benefit other ill-posed problems in which a smoothness constraint is required.
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کلیدواژه
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Ill-posed problem ,Adaptive smoothness constraint ,Helmert variance component estimation
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آدرس
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Wuhan University, China. Ministry of Education, Key Laboratory of Geospace Environment and Geodesy, China, Wuhan University, China. Ministry of Education, Key Laboratory of Geospace Environment and Geodesy, China. Collaborative Innovation Centre of Geospatial Technology, China, Wuhan University, China. Ministry of Education, Key Laboratory of Geospace Environment and Geodesy, China, Wuhan University, China. Ministry of Education, Key Laboratory of Geospace Environment and Geodesy, China, Wuhan University, China. Ministry of Education, Key Laboratory of Geospace Environment and Geodesy, China, Wuhan University, China. Ministry of Education, Key Laboratory of Geospace Environment and Geodesy, China
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Authors
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