The increasing growth of remote sensing data and geoscience research pushes earth sciences strongly and poses great challenges to data infrastructures for remote sensing big data, including the collection, storage, management, analysis and delivery. The de-fact remote sensing data infrastructures become bottleneck of the workflows for remote sensing data analysis because of their capability, scalability and performance. In this paper, data infrastructures for remote sensing big data are catalogued into 6 classes based on the features such as basic service unit, distributivity, heterogeneous, space-time continuation and on-demand processing. Then, architectures are designed for all the 6 classes of data infrastructures, and some implementation technologies such as data collection and integration, data storage and management, data service interface, and on-demand data processing, are discussed. With the architecture designs and implementation technologies, data infrastructures for remote sensing big data will provide PaaS (platform-as-a-service) and SaaS(software-as-a-service) services for developing much more remote sensing data analysis applications. With continuously growing data, tools and libraries in the infrastructures, users can easily develop analysis models to process remote sensing big data, create new applications based on these models, and exchange their knowledge each other by sharing models.