A unified approach is proposed to study scattering from a fluid medium
with irregularities of different types: volume inhomogeneities (spati
al fluctuations of the compressibility and density) and roughness of t
he interfaces. The approach considers the roughness as a volume pertur
bation of a specific kind near flat (unperturbed) interfaces. It permi
ts a description of the scattering problem on the basis of a unique in
tegral equation with a kernel including both types of irregularities:I
n the case of small perturbations, the first-order solution of this eq
uation is used to obtain the scattering amplitude and scattering cross
section for a stratified randomly inhomogeneous fluid medium with an
arbitrary number of rough interfaces. Expressions for the roughness an
d volume scattering cross section are obtained involving cross-correla
tion matrixes between the roughness of different interfaces and betwee
n the volume fluctuations of different parameters. Also, an example is
considered where roughness-volume correlations are important. The res
ults are generalized to the case when the fluid is placed over an arbi
trary basement characterized by its own reflection coefficient and sca
ttering amplitude. (C) 1998 Acoustical Society of America. [S0001-4966
(98)01302-2].