Full frequency-range transient solution for compressional waves in a fluid-saturated viscoacoustic porous medium

Journal Article · Mon Jan 01 04:00:00 EST 1996 · Geophysical Prospecting

DOI:https://doi.org/10.1111/j.1365-2478.1996.tb00141.x· OSTI ID:207851

Carcione, J M; Quiroga-Goode, G ^[1]

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1. Osservatorio Geofisico Sperimentale, Trieste (Italy)

An analytical transient solution is obtained for propagation of compressional waves in a homogeneous porous dissipative medium. The solution, based on a generalization of Biot`s poroelastic equations, holds for the low- and high-frequency ranges, and includes viscoelastic phenomena of a very general nature, besides the Biot relaxation mechanism. The viscodynamic operator is used to model the dynamic behavior associated with the relative motion of the fluid in the pores at all frequency ranges. Viscoelasticity is introduced through the standard linear solid which allows the modeling of a general relaxation spectrum. The solution is used to study the influence of the material properties, such as bulk moduli, porosity, viscosity, permeability and intrinsic attenuation, on the kinematic and dynamic characteristics of the two compressional waves supported by the medium. The authors also obtain snapshots of the static mode arising from the diffusive behavior of the slow wave at low frequencies.

• Sponsoring Organization: USDOE
• OSTI ID: 207851
• Journal Information: Geophysical Prospecting, Journal Name: Geophysical Prospecting Journal Issue: 1 Vol. 44; ISSN GPPRAR; ISSN 0016-8025
• Country of Publication: United States
• Language: English

Related Subjects

02 PETROLEUM
03 NATURAL GAS
58 GEOSCIENCES
ACOUSTIC MONITORING
ATTENUATION
DATA ANALYSIS
MICROSTRUCTURE
PETROLEUM DEPOSITS
POROSITY
RESERVOIR ROCK
RESPONSE FUNCTIONS
SEISMIC SURVEYS
WAVE PROPAGATION