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- W2047541605 abstract "Summary To improve the accuracy and stability of the finite difference solution to the eikonal equation along expanding wavefront, we present a finite difference scheme that uses varying grid spacing and that combines several formulas from the literature. Specifically, a grid densification is firstly performed in the grid squares directly surrounding the source. Then the grid spacing given by the process of the grid densification is successively enlarged according to whether the wavefront reaches the grid line counted from the source in ether 2- t h n x or direction, where is a positive integer. Numerical tests show that the strategy of varying grid spacing results in the traveltimes that have a higher accuracy order than those computed without using the local densification of the grid. For example, in a homogeneous medium with a velocity of 1000 m/s the traveltimes computed by using the varying grid spacing has an accuracy order of , while the traveltimes computed without using the varying grid spacing has an accuracy order of . z n" @default.
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- W2047541605 date "2007-01-01" @default.
- W2047541605 modified "2023-09-24" @default.
- W2047541605 title "A finite‐difference scheme for solving the eikonal equation with varying grid spacing" @default.
- W2047541605 cites W2065666685 @default.
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- W2047541605 doi "https://doi.org/10.1190/1.2792907" @default.
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