Does Petrel 2013 (32-bit or 64 bit) run on Windows 10?
It's impossible to say if the software will run on Windows 10 or not. However, Petrel 2013 is now known as Petrel E&P Software Platform. There are no system available which means that you will need to get in touch with the developers through the Request a quote button available on the product page.
Access the following page through the URL to be able to click on the Request a quote: https://www.software.slb.com/products/petrel#