Magnetotelluric appraisal using simulated annealing
Magnetotelluric appraisal using simulated annealing
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DOI：
10.1111/j.1365-246x.1991.tb03899.x
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发表时间：
1991-08
影响因子：
2.8
通讯作者：
S. Dosso;D. Oldenburg
中科院分区：
文献类型：
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作者：
S. Dosso;D. Oldenburg
摘要从大地电磁测量导出的电导率模型可以通过构建极值模型来评估，该极值模型使局部电导率平均值最小化和最大化。这些极值模型为感兴趣区域的电导率平均值提供了下限和上限。这种方法以前的应用已经通过（迭代）线性化反演构建极值模型，但是，很难验证计算的边界代表全局（而不是局部）极值。本文提出了一种利用模拟退火优化构造极值模型的方法。模拟退火不需要近似，并以其避免不利的局部极小值的能力而闻名。优化过程是灵活的和一般的，并且可以应用于构造模型，该模型在任何反问题中使相应的正解存在的线性或非线性目标函数极值化。通过模拟退火的评价证明使用合成数据和现场测量，并与线性化的基础上的结果进行了比较。比较表明，通过线性化计算的界限代表了对全局极值的良好逼近。
SUMMARY Conductivity models derived from magnetotelluric measurements can be appraised by constructing extremal models which minimize and maximize localized conductivity averages. These extremal models provide lower and upper bounds for the conductivity average over the region of interest. Previous applications of this method have constructed extremal models via (iterated) linearized inversion; however, it is difficult to verify that the computed bounds represent global (rather than local) extrema. In this paper, a method of constructing extremal models using simulated annealing optimization is developed. Simulated annealing requires no approximations and is renowned for its ability to avoid unfavourable local minima. The optimization procedure is flexible and general, and can be applied to construct models which extremize a linear or non-linear objective function in any inverse problem for which the corresponding forward solution exists. Appraisal via simulated annealing is demonstrated using synthetic data and field measurements, and the results are compared with those based on linearization. The comparisons suggest that the bounds calculated via linearization represent excellent approximations to the global extrema.