Geophysical Frequency Domain Electromagnetic Field Simulation Using Physics-Informed Neural Network

Bochen Wang, Zhenwei Guo, Jianxin Liu, Yanyi Wang and Fansheng Xiong ()
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Bochen Wang: School of Geosciences and Info-Physics, Central South University, Changsha 410083, China
Zhenwei Guo: School of Geosciences and Info-Physics, Central South University, Changsha 410083, China
Jianxin Liu: School of Geosciences and Info-Physics, Central South University, Changsha 410083, China
Yanyi Wang: School of Geosciences and Info-Physics, Central South University, Changsha 410083, China
Fansheng Xiong: Yanqi Lake Beijing Institute of Mathematical Sciences and Applications, Beijing 101408, China

Mathematics, 2024, vol. 12, issue 23, 1-18

Abstract: Simulating electromagnetic (EM) fields can obtain the EM responses of geoelectric models at different times and spaces, which helps to explain the dynamic process of EM wave propagation underground. EM forward modeling is regarded as the engine of inversion. Traditional numerical methods have certain limitations in simulating the EM responses from large-scale geoelectric models. In recent years, the emerging physics-informed neural networks (PINNs) have given new solutions for geophysical EM field simulations. This paper conducts a preliminary exploration using PINN to simulate geophysical frequency domain EM fields. The proposed PINN performs self-supervised training under physical constraints without any data. Once the training is completed, the responses of EM fields at any position in the geoelectric model can be inferred instantly. Compared with the finite-difference solution, the proposed PINN performs the task of geophysical frequency domain EM field simulations well. The proposed PINN is applicable for simulating the EM response of any one-dimensional geoelectric model under any polarization mode at any frequency and any spatial position. This work provides a new scenario for the application of artificial intelligence in geophysical EM exploration.

Keywords: deep learning; geophysical electromagnetic fields; frequency domain; Maxwell’s equations; physics-informed neural network (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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