ON OBTAINING INITIAL APPROXIMATION FOR FULL WAVE INVERSION PROBLEM USING CONVOLUTIONAL NEURAL NETWORK

I. B. Petrov; Петров И. Б.; A. S. Stankevich; Станкевич А. С.; A. V. Vasyukov; Васюков А. В.

doi:10.31857/S2686954322600732

ON OBTAINING INITIAL APPROXIMATION FOR FULL WAVE INVERSION PROBLEM USING CONVOLUTIONAL NEURAL NETWORK

Authors: Petrov I.B.¹, Stankevich A.S.¹, Vasyukov A.V.¹
Affiliations:
1. Moscow Institute of Physics and Technology (National Research University)
Issue: Vol 512 (2023)
Pages: 58-64
Section: MATHEMATICS
URL: https://ruspoj.com/2686-9543/article/view/647895
DOI: https://doi.org/10.31857/S2686954322600732
EDN: https://elibrary.ru/SWNWFX
ID: 647895

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Abstract

The paper considers the problem of choosing the initial approximation when using gradient optimization methods for solving the inverse problem of restoring the distribution of velocities in a heterogeneous continuous medium. A system of acoustic equations is used to describe the behavior of the medium, and a finite-difference scheme is used to solve the direct problem. L-BFGS-B is used as a gradient optimization method. Adjoint state method is used to calculate the gradient of the error functional with respect to the medium parameters. The initial approximation for the gradient method is obtained using a convolutional neural network. The network is trained to predict the distribution of velocities in the medium from the wave response from it. The paper shows that a neural network trained on responses from simple layered structures can be successfully used to solve the inverse problem for a complex Marmousi model.

Keywords

acoustic inversion, numerical optimization, adjoint state method, machine learning, deep learning, convolutional neural networks

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