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Inverting magnetotelluric responses in a three-dimensional earth using fast forward approximations based on artificial neural networks

机译:使用基于人工神经网络的快速前向近似反演三维地球中的大地电磁响应

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摘要

The most computationally intensive step in 3D magnetotelluric (MT) inversion is the calculation of the forward response. This fact makes any modelling which requires many function evaluations, including genetic algorithms and Markov chain Monte Carlo inversion, extremely time consuming. Using Artificial Neural Networks (ANNs) it is possible to approximate these expensive forward functions with rapidly evaluated alternatives. Using a limited subset of resistivity models created in a simple parameterisation, this work is the first to apply ANNs to approximate the 3D MT forward function. Training data are generated with a compute time of two weeks, and after training the ANN is able to reproduce forward responses at arbitrary site locations with accuracy similar to the level of typical data errors. To evaluate the accuracy of the models, we show that these forward responses may be used to successfully invert MT data in an evolutionary framework. Examples are shown in both synthetic and real-world scenarios, and results are compared with those from traditional inversion algorithms. We conclude that the trained ANN inversion has a fraction of the run-time of a traditional inversion and is successful at modelling the space of its limited parameterisation.
机译:3D大地电磁(MT)反演中计算量最大的步骤是正向响应的计算。这个事实使得任何需要很多功能评估的建模,包括遗传算法和马尔可夫链蒙特卡洛反演,都非常耗时。使用人工神经网络(ANN),可以通过快速评估的替代方案近似这些昂贵的正向函数。使用通过简单参数化创建的电阻率模型的有限子集,这项工作是首次应用ANN逼近3D MT正向函数的工作。训练数据的生成时间为两周,并且在训练后,ANN能够在任意站点位置再现前向响应,其准确性类似于典型数据错误的水平。为了评估模型的准确性,我们证明了这些前向响应可用于在进化框架中成功地反转MT数据。在合成和实际场景中都显示了示例,并将结果与​​传统反演算法的结果进行了比较。我们得出的结论是,经过训练的ANN反演具有传统反演的运行时间的一小部分,并且成功地对其有限参数化的空间进行了建模。

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