一个教育工具,用于研究层析成像问题中控制参数和观察几何的作用

I. Koulakov
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引用次数: 2

摘要

本文介绍了一个教育版的层析成像算法BASIC TOMO,旨在演示不同控制参数在反演中的作用。该算法使用直线射线的简化近似和使用矩形单元的模型参数化。层析成像过程被简化为求解线性方程组,这是使用LSQR方法执行的。本研究提出了几个练习,展示了不同因素在反演中的作用,如网格间距、平滑、射线配置和数据中的噪声。对不同类型的合成模型进行了计算。使用BASIC TOMO代码的附加版本可以很容易地复制所有结果。
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BASIC TOMO: an educational tool for investigating the role of controlling parameters and observation geometry in tomography problems
The paper presents an educational version of the tomography algorithm BASIC TOMO, which is aimed at demonstration of the role of different controlling parameters in inversion. The algorithm uses a simplified approximation of rays with straight lines and a model parameterization with the use of rectangular cells. The tomography procedure is reduced to solving a system of linear equations, which is performed using the LSQR method. This study presents several exercises showing the role of different factors in inversion, such as grid spacing, smoothing, ray configuration, and noise in the data. The calculations are performed for different types of synthetic models. All the results can be easily reproduced using the appended version of the BASIC TOMO code.
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