Finite Difference Modeling of Wave Progpagation in Acoustic TiltedTI Media

Journal Article · Mon Mar 21 00:00:00 EST 2005 · Geophysical Prospecting

DOI:https://doi.org/10.1111/j.1365-2478.2005.00504.x· OSTI ID:875744

Zhang, Linbin; Rector, III, James W; Hoversten, G Michael

Based on an acoustic assumption (shear wave velocity is zero) and a dispersion relation, we derive an acoustic wave equation for P-waves in tilted transversely isotropic (TTI) media (transversely isotropic media with a tilted symmetry axis). This equation has fewer parameters than an elastic wave equation in TTI media and yields an accurate description of P-wave traveltimes and spreading-related attenuation. Our TTI acoustic wave equation is a fourth-order equation in time and space. We demonstrate that the acoustic approximation allows the presence of shear waves in the solution. The substantial differences in traveltime and amplitude between data created using VTI and TTI assumptions is illustrated in examples.

• Research Organization: Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
• Sponsoring Organization: USDOE. Assistant Secretary for Fossil Energy, NationalEnergy Technology Laboratory
• DOE Contract Number: DE-AC02-05CH11231
• OSTI ID: 875744
• Report Number(s): LBNL-57324; GPPRAR; R&D Project: G30901; BnR: AC1005000; TRN: US200603%%219
• Journal Information: Geophysical Prospecting, Vol. 53, Issue 6; Related Information: Journal Publication Date: 11/2005; ISSN 0016-8025
• Country of Publication: United States
• Language: English

Related Subjects

58 GEOSCIENCES
ACOUSTICS
AMPLITUDES
ATTENUATION
DISPERSION RELATIONS
P WAVES
SHEAR
SIMULATION
SYMMETRY
VELOCITY
WAVE EQUATIONS
WAVE PROPAGATION