Your camera does not save any photos to internal memory. It will display a preview on the rear LCD under certain conditions, but that photo is gone once the display stops showing it.
If there is a card in your camera that the camera is not writing to, it means the camera is not recognizing the card. If only one card displays this behavior and other cards are recognized, then the card is probably defective. If the camera is not recognizing more than one particular card, your camera is probably at fault and will need to be repaired.
One thing you may try is to connect your card to a computer and format the card. Be sure that the FAT32 file system is selected when the card is formatted. Label the card 'EOS_DIGITAL'. Manually create a folder in the root of the card named 'DCIM'. Then insert the card into your T3i and see if it is recognized.