arXiv:1801.07232physics.geo-ph
Seismic Full-Waveform Inversion Using Deep Learning Tools and Techniques
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Abstract
I demonstrate that the conventional seismic full-waveform inversion algorithm can be constructed as a recurrent neural network and so implemented using deep learning software such as TensorFlow. Applying another deep learning concept, the Adam optimizer with minibatches of data, produces quicker convergence toward the true wave speed model on a 2D dataset than Stochastic Gradient Descent and than the L-BFGS-B optimizer with the cost function and gradient computed using the entire training dataset. I also show that the cost function gradient calculation using reverse-mode automatic differentiation is the same as that used in the adjoint state method.
It has been shown that a finite difference implementation of wave propagation can be expressed as a deep neural network (e.g., [1]). These networks can have thousands of layers and yet I don't think they suffer from the exploding/vanishing gradient problem, which I imagine is…
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