Today, with the exponential rise in the use of the internet, the trend of the massive use of mobile devices (tablets, laptops, computers, iPads etc ... ) the user has become inseparable from his smartphone, which facilitates the use of several services in different fields (work, research, commerce, etc.). Besides, with the proliferation of data, the needs of consumers are becoming increasingly complex. So the composition of web services remains a necessary process allowing to combine several atomic services aggregating different functionalities to answer a complex request. Several techniques in the literature like, AI planning, work flow, Agent, Mathematics and Semantic. These techniques are mainly involved in the automation and improvement of the composition process. In this paper, we will survey several context aware web service composition approaches based on these techniques . Remember that the Mobile environment is characterized by software, hardware and space constraints and Web Service Composition in mobile environment must respect these conditions.