## Two-point paraxial traveltime in inhomogeneous
isotropic/anisotropic media -- tests of accuracy

**Umair bin Waheed**,
**Tariq Alkhalifah**,
**Ivan Psencik**,
**Vlastislav Cerveny** **&**
**Einar Iversen**
### Summary

We analyze the efficiency and accuracy of the two-point
paraxial traveltime formula. It provides the
approximate traveltime between two points arbitrarily
chosen in a paraxial vicinity of a single reference
ray, along which the ray propagator matrix in
a ray-centered coordinates has been determined. The
reference ray can be traced in an arbitrary,
smoothly varying, layered medium of arbitrary anisotropy. We
illustrate the potential of the two-point paraxial
traveltime formula and its Shanks transform
representation, which provides much higher accuracy,
on smoothly inhomogeneous, isotropic and weakly
anisotropic models. The formulation offers several
interesting applications including fast traveltime
computations, velocity-independent interpolation and datuming.

### Whole paper

The paper is available in
PDF (971 kB).

In: *Extended Abstracts of 74th EAGE Conference (Copenhagen)*,
Eur. Assoc. Geoscientists & Engr., Houten, 2012,
ISBN 978-90-73834-27-9 (USB), P282 (5 pp.).