I don't have complete information on inter-working of LTE and Wi-Fi but get to know few basic concepts which I would like to share here. There is a network node known as "ANDSF (Access Network Discovery Support Function) " plays a major role/primary role on selection of relevant Wi-Fi network.
When UE is connected to LTE network and if it sees good signal strength of available WiFi access networks, it contacts to ANDSF to get the relevant Wi-Fi network details and initiate connection towards Wi-Fi network.
While establishing connection with Wi-Fi, UE IP address is still same as allocated by PGW since ePDG of Wi-Fi network gateway makes connection to the same PGW and the data flow is continued.
This is what I learned from different online material but still does not have concrete knowledge on that.