A method for generating a virtual volume (VV) in a storage system architecture. The architecture comprises a host and one or more disk array subsystems. Each subsystem comprises a storage controller. One or more of the subsystems comprises a physical storage device (PSD) array. The method comprises the following steps: mapping the PSD array into a plurality of media extents (MEs), each of the MEs comprises a plurality of sections; providing a virtual pool (VP) to implement a section cross-referencing function, wherein a section index (SI) of each of the sections contained in the VP is defined by the VP to cross-reference VP sections to physical ME locations; providing a conversion method or procedure or function for mapping VP capacity into to a VV; and presenting the VV to the host. A storage subsystem and a storage system architecture performing the method are also provided.