  The convective Brinkman-Forchheimer equations describe the motion of
incompressible fluid flows in a saturated porous medium. This work examines the
multiscale stochastic convective Brinkman-Forchheimer (SCBF) equations
perturbed by multiplicative Gaussian noise in two and three dimensional bounded
domains. We establish a strong averaging principle for the stochastic 2D SCBF
equations, which contains a fast time scale component governed by a stochastic
reaction-diffusion equation with damping driven by multiplicative Gaussian
noise. We exploit the Khasminkii's time discretization approach in the proofs.
