“…In such a scheme, the rock‐fluid interaction is treated as a purely mechanical problem: that is, the change in seismic velocity depends only on the compressibility and density of the fluid ( ρ fl ; K fl ), the physical parameters controlling them [ Batzle and Wang , ], and the density and elastic moduli of the rock frame ( ρ dry ; K dry ; G dry ). It is a common practice in the literature to include the time‐variant effects on the properties of the fluid and the rock frame due to the variation of physical parameters, such as stress and temperature, which respectively induce compaction and fluid‐phase changes [ Nur et al , ; Lumley , ; Guilbot and Smith , ; Hatchell and Bourne , ; Meadows et al , ]. A basic assumption of Gassmann's theory is that the fluid and the rock matrix do not interact, implying that when this occurs in situ, the elastic moduli of the rock frame and its porosity are treated as time‐invariant parameters in a 4‐D scheme.…”