<p>This paper considers the propagations for a free boundary model in a heterogeneous environment. In particular, the conditional dispersal of the model includes resource-related diffusion and non-constant advection. The dichotomy and criteria on spreading-vanishing are obtained by the corresponding principal eigenpair of linearized eigenvalue problem. Furthermore, the asymptotic spreading speed is estimated by the upper and lower solutions method. The theoretical analyses reveal two biological propagation features: (i) Either the small diffusion coefficient or the large advection rate can increase the possibility of successful spread; (ii) The asymptotic spreading speed not only depends on the resource-related diffusion but also increases in it. Compared to the conclusions of correlative logistic models with random diffusion and advection, our results reflect some new phenomena in biological invasions.</p>