This method will only work if the driver do not come back. Is very important to uninstall Intel Graphic Drive under Programs and Feature ( NOT Device Manager) before uninstall and delete the Intel 4000 driver on Device Manager.
Another user report success with this method on another post ( http://answers.microsoft.com/en-us/windows/forum/windows8\_1-windows\_install/couldnt-update-to-windows-81-0xc1900101-0x40017/e1ee316f-f912-43ef-92dc-ee31a5fe62d9?page=66&tm=1392608464531 )
On the post above the user report that he didn't reboot to do the update.
Before trying this method make sure you know how to boot in SAFE MODE because it happens to me that Windows 8.1 brought back the bad driver after a few minutes, after I logged in and my screen when black with Windows 8.1 installed. I booted in safe mode and
installed the 8.1 driver. If you don't have the right driver ( version 10.18.10.3304 for Intel 4000 ) ready to instal in safe mode you will have a problem and may have to make fresh install of Windows 8. So make sure you know how to enter in safe mode and
have the driver ready to install ( I saved it on the desktop to have a fast access ).
I didn't uninstall anything before update and I update with a already download win 8.1 (mean folder BT something), my Norton 360 was running, I had a USB mouse connected and I had a 128 GB 3rd part mSATA cache+data volume installed during the successful update.
This prove that the video driver was the problem.
Two days from the update and no problem at all.