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Comparison of P ‐wave attenuation models of wave‐induced flow
Author(s) -
Sun Weitao,
Ba Jing,
Müller Tobias M.,
Carcione José M.,
Cao Hong
Publication year - 2015
Publication title -
geophysical prospecting
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.735
H-Index - 79
eISSN - 1365-2478
pISSN - 0016-8025
DOI - 10.1111/1365-2478.12196
Subject(s) - biot number , attenuation , saturation (graph theory) , geology , rayleigh wave , isotropy , porosity , economic geology , mineralogy , regional geology , mechanics , dispersion (optics) , wave propagation , geophysics , geotechnical engineering , optics , physics , hydrogeology , mathematics , metamorphic petrology , combinatorics , telmatology
Wave‐induced oscillatory fluid flow in the vicinity of inclusions embedded in porous rocks is one of the main causes for P ‐wave dispersion and attenuation at seismic frequencies. Hence, the P ‐wave velocity depends on wave frequency, porosity, saturation, and other rock parameters. Several analytical models quantify this wave‐induced flow attenuation and result in characteristic velocity–saturation relations. Here, we compare some of these models by analyzing their low‐ and high‐frequency asymptotic behaviours and by applying them to measured velocity–saturation relations. Specifically, the Biot–Rayleigh model considering spherical inclusions embedded in an isotropic rock matrix is compared with White's and Johnson's models of patchy saturation. The modeling of laboratory data for tight sandstone and limestone indicates that, by selecting appropriate inclusion size, the Biot‐Rayleigh predictions are close to the measured values, particularly for intermediate and high water saturations.