Fluid substitution is an important part of the seismic rock physics analysis (e.g., AVO, 4D analysis), which provides a tool for fluid identification and quantification in reservoir. This is commonly performed using Gassmann’s equation (Gassmann, 1951). Many authors (Batzle and Wang, 1992; Berryman, 1999; Wang, 2001; Smith et al., 2003; Russell et al., 2003; Han and Batzle, 2004) have discussed...