Chosen Solution
How to replace a battery and put the new one !!
@nader, follow this video
Here is the video showing how to take out the battery from z1: https://www.youtube.com/watch?v=LAutRUkp… And here is the video showing how to put back the battery to z1(watch form 8:39,):https://www.youtube.com/watch?v=LAutRUkp… ( to reassemble the phone, you need the back cover sticker in the end: http://www.witrigs.com/oem-back-cover-st…)
Here is a step by step tutorial: Sony Xperia Z1 Compact Battery Replacement