Finite-difference modeling of viscoelastic materials with quality factors of arbitrary magnitude

Geophysics

Volumn 69, Issue 3, 2004, Pages 817-824

  Asvadurov, Sergey ^a   Knizhnerman, Leonid ^b   Pabon, Jahir ^c  

^a SCHLUMBERGER MOSCOW RESEARCH   (Russian Federation)

^b Central Geophysical Expedition   (Russian Federation)

^c SCHLUMBERGER DOLL RESEARCH   (United States)

Author keywords

Acoustic measurement; Boring; Frequency response; Modelling; Q factor; Rocks; Seismology; Viscoelasticity

Indexed keywords

ACOUSTIC LOGGING; ACOUSTIC NOISE; BEAMS AND GIRDERS; BORING; DIFFERENTIAL EQUATIONS; FREQUENCY RESPONSE; MODELS; Q FACTOR MEASUREMENT; ROCKS; SEISMOLOGY; STRESS-STRAIN CURVES;

ACOUSTIC MEASUREMENTS; FINITE DIFFERENCE MODEL; FIRST ORDER DIFFERENTIAL EQUATION; FREQUENCY-DEPENDENT COMPLEX MODULUS; OPTIMAL RATIONAL APPROXIMATIONS; Q-FACTORS; RATIONAL APPROXIMATIONS; STRESS STRAIN RELATION;

VISCOELASTICITY;

EID: 33748877870     PISSN: 00168033     EISSN: None     Source Type: Journal    
DOI: 10.1190/1.1759468     Document Type: Article

References (10)

1. Asvadurov, S., Knizhnerman, L., and Pabon, J., 2001, Finite-difference modeling of viscoelastic materials with quality factors Q of arbitrary magnitude: Schlumberger-Doll Research preprint OFSR/RN/2001/151/RTMI/C.
2. Blanch, J., Robertsson, O., and Symes, W., 1995, Modeling of a constant Q: Methodology and algorithm for an efficient and optimally inexpensive viscoelastic technique: Geophysics, 60, 176-184. GPYSA7 0016-8033 Geophysics
3. Carcione, J., Kosloff, D., and Kosloff, R., 1988, Wave propagation simulation in a linear viscoacoustic medium: Geophysical Journal of the Royal Astronomical Society, 93, 393-407. GEOJAN 0016-8009
4. Coleman, B., and Noll, W., 1961, Foundations of linear viscoelasticity: Review of Modern Physics, 33, 239-249.
5. Day, S., and Minster, J., 1984, Numerical simulation of attenuated wavefields using a Padé approximant method: Geophysical Journal of the Royal Astrological Society, 78, 105-118.
6. Ekstrom, M., 1995, Dispersion estimation from borehole acoustic arrays using a modified matrix pencil algorithm, Presented at 29th Asilomar Conference on Signals, Systems and Computers. Signals, Systems and Computers
7. Emmerich, H., and Korn, M., 1987, Incorporation of attenuation into time-domain computations of seismic wave fields: Geophysics, 52, 1252-1264. GPYSA7 0016-8033 Geophysics
8. Harris, F., 1978, On the use of windows for harmonic analysis with the discrete Fourier transform: Proceedings of the IEEE, 66, 51-83.
9. Ingerman, D., Druskin, V., and Knizhnerman, L., 2000, Optimal finite-difference grids and rational approximations of square root, I: Elliptic problems: Communications on Pure and Applied Mathematics, 53, 1039-1066. CPMAMV 0010-3640
10. Petrushev, P., and Popov, V., Rational approximation of real functions, Cambridge University Press: 1987.