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Traveltime and amplitude calculations using the damped wave solution

Cited 38 time in Web of Science Cited 53 time in Scopus
Authors

Shin, Changsoo; Min, Dong-Joo; Marfurt, Kurt J.; Lim, Harry Y.; Yang, Dongwoo; Cha, Youngho; Ko, Seungwon; Yoon, Kwangjin; Ha, Taeyoung; Hong, Soonduk

Issue Date
2002
Publisher
Society of Exploration Geophysicists (SEG)
Citation
Geophysics, 67, 1637-1647
Abstract
Because of its computational efficiency, prestack
Kirchhoff depth migration remains the method of choice
for all but the most complicated geological depth structures.
Further improvement in computational speed and
amplitude estimation will allow us to use such technology
more routinely and generate better images. To this end,
we developed a new, accurate, and economical algorithm
to calculate first-arrival traveltimes and amplitudes for
an arbitrarily complex earth model. Our method is based
on numerical solutions of the wave equation obtained by
using well-established finite-difference or finite-element
modeling algorithms in the Laplace domain, where a
damping term is naturally incorporated in the wave
equation. We show that solving the strongly damped
wave equation is equivalent to solving the eikonal and
transport equations simultaneously at a fixed reference
frequency, which properly accounts for caustics and
other problems encountered in ray theory. Using our algorithm,
we can easily calculate first-arrival traveltimes
for given models. We present numerical examples for
2-D acoustic models having irregular topography and
complex geological structure using a finite-element modeling
code.
ISSN
0016-8033
Language
English
URI
https://hdl.handle.net/10371/6124
DOI
https://doi.org/10.1190/1.1512811
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