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BISQ model for fluid-filled, porous medium

Chen Xiaohong Yang Dinghui,Department of Mathematical Science, Tsinghua University,Beijing, 100084, China  
BIOT flow and jet flow are two important mechanical mechanism of solid-fluid interaction in fluid-filled, porous medium and are collective effect on attenuation and dispersion of sonic or elastic waves as a coupling process. Putting these two kind of mechanical mechanism to separate and process independently and building separately BIOT theory based on macro-description and jet flow theory based on individual porous structure in traditional approach, there is strong limitation in real application of these theories. Putting BlOT flow mechanism and jet flow mechanism to process simultaneously, Dvorkin and Nur proposed a united BISQ model which related microscopic jet flow mechanism with macroscopic characters of solid and fluid and built relations between phase velocity and attenuation of elastic wave and elastic constant of solid phase, porosity, permeability, saturation, flow viscosity, compressibility, frequency and characteristic jet flow parameters etc. A series of study of BISQ model shows that the jet flow mechanism is main reason for causing strong attenuation and strong dispersion of elastic wave. BISQ model can more truly predict attenuation and dispersion of waves and has great applied potential in aspect of dynamic improving oil recovery control and picking up anisotropic parameters such as permeability etc. Therefore, it is worth further studying and development.
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