  The convective Brinkman-Forchheimer equations given by
  $$ \frac{\partial \boldsymbol{u}}{\partial t}-\mu
\Delta\boldsymbol{u}+(\boldsymbol{u}\cdot\nabla)\boldsymbol{u}+\alpha\boldsymbol{u}+\beta|\boldsymbol{u}|^{r-1}\boldsymbol{u}+\nabla
p=\boldsymbol{f}, \ \nabla\cdot\boldsymbol{u}=0, $$ where $\mu,\alpha,\beta>0$
and $r\in[1,\infty)$ describe the motion of incompressible fluid flows in a
saturated porous medium. In bounded domains (for $d=2,3$ and $r\in[1,\infty)$),
the existence of a weak martingale solution for stochastic convective
Brinkman-Forchheimer equations forced by L\'evy noise consisting of a
$\mathrm{Q}$-Wiener process and a compensated time homogeneous Poisson random
measure is established in this work. Using the classical Faedo-Galerkin
approximation, a compactness method and a version of the Skorokhod embedding
theorem for nonmetric spaces, we prove the existence of a weak martingale
solution. For $d=2$, $r\in[1,\infty)$ and $d=3$, $r\in[3,\infty)$, we prove
that the martingale solution has stronger regularity properties such as it
satisfies the energy equality (It\^o's formula) and hence the trajectories are
equal almost everywhere to an $\mathbb{H}$-valued c\`adl\`ag function defined
on $[0, T ]$, ${\mathbb{P}}$-a.s. Furthermore, for $d=2$, $r\in[1,\infty)$ and
$d=3$, $r\in[3,\infty)$ ($2\beta\mu\geq 1$ for $r=3$), we show the pathwise
uniqueness of solutions and use the classical Yamada-Watanabe argument to
derive the existence of a strong solution and uniqueness in law.
