Deep eikonal solvers

M Lichtenstein, G Pai, R Kimmel - Scale Space and Variational Methods in …, 2019 - Springer
… 3 Deep Eikonal Solver We present a fast Eikonal solver estimating the geodesic distance
for a discrete set of points \(\mathcal {S}\) from a subset of source points \(\mathfrak {s} \subset \…

Neural Eikonal solver: Improving accuracy of physics-informed neural networks for solving eikonal equation in case of caustics

S Grubas, A Duchkov, G Loginov - Journal of Computational Physics, 2023 - Elsevier
… of the eikonal is exacerbated … eikonal equation using neural networks to tackle caustic
pathologies. We introduce the novel Neural Eikonal Solver (NES) for solving the isotropic eikonal

PINNeik: Eikonal solution using physics-informed neural networks

U bin Waheed, E Haghighat, T Alkhalifah… - Computers & …, 2021 - Elsevier
… Therefore, we seek a trained deep neural network (DNN) … This not only adds to the complexity
of the eikonal solver but also results in … Finally, we test the PINN eikonal solver on a highly …

Using fast marching eikonal solver to compute 3‐D Pds traveltime for deep receiver‐function imaging

Z Guan, F Niu - Journal of Geophysical Research: Solid Earth, 2018 - Wiley Online Library
… more important for deep structures since the … eikonal solver, the fast marching method (FMM;
Kool et al., 2006; Rawlinson & Sambridge, 2004a, 2004b) in computing Δt Pds . The eikonal

Eikonal solution using physics-informed neural networks

UB Waheed, E Haghighat, T Alkhalifah… - EAGE 2020 annual …, 2020 - earthdoc.org
Deep learning is fast emerging as a potential disruptive tool … solve the isotropic P-wave
eikonal equation. By minimizing a … Finally, we test the accuracy of the PINN-based eikonal solver

Physics-constrained deep learning for solving the eikonal equation

S Grubas, G Loginov, A Duchkov - 82nd EAGE Annual Conference & …, 2021 - earthdoc.org
Eikonal equation is a non-linear PDE that is used for modeling seismic traveltimes. Here we
test the idea of using neural networks for solving the 2D Eikonal … the Eikonal equation using …

Anisotropic eikonal solution using physics-informed neural networks

U Waheed, E Haghighat, T Alkhalifah - SEG international exposition …, 2020 - onepetro.org
… On a different front, deep learning is fast emerging as a poten… largely untapped potential of
deep learning for applications in … This feature of PINN-based eikonal solver is particularly at…

An iterative, fast-sweeping-based eikonal solver for 3D tilted anisotropic media

UB Waheed, CE Yarman, G Flagg - Geophysics, 2015 - library.seg.org
… We test our eikonal solver on synthetic TTI and TOR models and compare the eikonal
solution with the corresponding first arrival from the wavefield solution. For 2D, we compute the …

Fast methods for eikonal equations: an experimental survey

JV Gómez, D Álvarez, S Garrido, L Moreno - IEEE Access, 2019 - ieeexplore.ieee.org
… Group Marching Method The Group Marching Method (GMM) [48] is an FMMbased Eikonal
solver which solves for a group of grid points in Narrow at once, instead of sorting them in a …

A topography-dependent eikonal solver for accurate and efficient computation of traveltimes and their derivatives in 3D heterogeneous media

X Zhou, H Lan, L Chen, G Guo, U Bin Waheed, J Badal - Geophysics, 2023 - library.seg.org
deep seismic exploration and drilling work. However, there are three main problems when
using traditional eikonal solvers … ), and the efficiency of the global solver. Although the effect of …