Skip to Main Content
Skip Nav Destination
GEOREF RECORD

Time evolution of the wave equation using rapid expansion method

Reynam C. Pestana and Paul L. Stoffa
Time evolution of the wave equation using rapid expansion method
Geophysics (August 2010) 75 (4): T121-T131

Abstract

Forward modeling of seismic data and reverse time migration are based on the time evolution of wavefields. For the case of spatially varying velocity, we have worked on two approaches to evaluate the time evolution of seismic wavefields. An exact solution for the constant-velocity acoustic wave equation can be used to simulate the pressure response at any time. For a spatially varying velocity, a one-step method can be developed where no intermediate time responses are required. Using this approach, we have solved for the pressure response at intermediate times and have developed a recursive solution. The solution has a very high degree of accuracy and can be reduced to various finite-difference time-derivative methods, depending on the approximations used. Although the two approaches are closely related, each has advantages, depending on the problem being solved.


ISSN: 0016-8033
EISSN: 1942-2156
Coden: GPYSA7
Serial Title: Geophysics
Serial Volume: 75
Serial Issue: 4
Title: Time evolution of the wave equation using rapid expansion method
Affiliation: Federal University of Bahia, Center for Research in Geophysics and Geology, Salvador, Brazil
Pages: T121-T131
Published: 201008
Text Language: English
Publisher: Society of Exploration Geophysicists, Tulsa, OK, United States
References: 18
Accession Number: 2011-020018
Categories: Applied geophysics
Document Type: Serial
Bibliographic Level: Analytic
Annotation: Includes appendices
Illustration Description: illus. incl. 1 table
Secondary Affiliation: University of Texas at Austin, USA, United States
Country of Publication: United States
Secondary Affiliation: GeoRef, Copyright 2017, American Geosciences Institute. Reference includes data supplied by Society of Exploration Geophysicists, Tulsa, OK, United States
Update Code: 201112
Close Modal

or Create an Account

Close Modal
Close Modal