If you want to study petroleum engineering then being weak in Physics, Chemistry and Mathematics won't be a good choice for you. Still if you believe that you are interested and will be able to do wonders in that field, please go for it.

The following link will give you a list of colleges :-

https://engineering.careers360.com/colleges/list-of-petroleum-engineering-colleges-in-india

Select any college and put in appropriate filters to check fees and other admission details.

Hope this answers your question.