Markov-random-field modeling for linear seismic tomography

被引：18

作者：

Kuwatani, Tatsu ^{[1
]}

Nagata, Kenji ^{[2
]}

Okada, Masato ^{[2
]}

Toriumi, Mitsuhiro ^{[3
]}

机构：

[1] Tohoku Univ, Grad Sch Environm Studies, Sendai, Miyagi 9808579, Japan

[2] Univ Tokyo, Grad Sch Frontier Sci, Chiba 2778561, Japan

[3] Japan Agcy Marine Earth Sci & Technol, Lab Ocean Earth Life Evolut Res, Yokosuka, Kanagawa 2370061, Japan

来源：

PHYSICAL REVIEW E | 2014年 / 90卷 / 04期

关键词：

HYPERPARAMETER ESTIMATION; DISTRIBUTIONS;

D O I：

10.1103/PhysRevE.90.042137

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We apply the Markov-random-field model to linear seismic tomography and propose a method to estimate the hyperparameters for the smoothness and the magnitude of the noise. Optimal hyperparameters can be determined analytically by minimizing the free energy function, which is defined by marginalizing the evaluation function. In synthetic inversion tests under various settings, the assumed velocity structures are successfully reconstructed, which shows the effectiveness and robustness of the proposed method. The proposed mathematical framework can be applied to inversion problems in various fields in the natural sciences.

引用

页数：7

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