Abstract
We show that a scheme to solve the 2-D eikonal equation by a finite-difference method can violate causality for moderate to large velocity contrasts (V2/V1>√2). As an alternative, we present a finite-difference scheme in which the solution region progresses outward from an ``expanding wavefront'' rather than an ``expanding square,'' and therefore honors causality. Our method appears to be stable and reasonably accurate for a variety of velocity models with moderate to large velocity contrasts. The penalty is a large increase in computational cost and programming effort.
Original language | English (US) |
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Pages (from-to) | 478-487 |
Number of pages | 10 |
Journal | Geophysics |
Volume | 57 |
Issue number | 3 |
State | Published - Mar 1992 |
Externally published | Yes |
ASJC Scopus subject areas
- Geochemistry and Petrology
- Geophysics