In this paper, we present a process algebra for structure-aware mobile systems called BigrTiMo by combining rTiMo process algebra and Bigraph model. Compared with rTiMo model, our BigrTiMo calculus can model not only the location of components but also the connectivity of components. Thus, our BigrTiMo process can communicate not only locally with other process, but also remotely with other process (If they share a communication link). In addition, a BigrTiMo process can migrate from one location to another location, observe the bigraph and change the bigraph. We also investigate the operational semantics and algebraic semantics of the BigrTiMo calculus.