The top thrtee colleges in Karnatak for doing Btech in PE are as follows : 

Manipal Institute of Technology, Manipal : 

This college has been ranked the higest by varous platforms avaliable on the internet with a ranking of AAAA+. The college has a coure fee of 11.56 lakhs INR. The eligibilty criteria is pass in 10+2 with Maths and Physics as compulsory subjects and a combined 50% marks in Maths and Physics with an additional subject. The college has 60 seats in the PE department and is approved by AICTE (ALL INDIA COUNCIL OF TECHNICAL EDUCATION). It has a course a Accreditation from NBA (NATIONAL BOARD OF ACCREDITATION). The entrance exam is MET (MANIPAL ENTRANCE TEST). Some of the top recruiters are Accenture , Afra Dubai , AIG , Amada Co. Japan , Amazon , Anglo Eastern , ArrayStorm Lighting , Aryaka Networks , Aspiring Minds , Aurobindo and many more. 

JSS Science and Technology University, Mysuru : 

This college has a ranking of AAA+. The college has a coure fee of 60 thousand INR. The eligibilty criteria is pass in 10+2 with Maths and Physics as compulsory subjects and a combined 45% marks in Maths and Physics with an additional subject (40% in case of reserved category). The college has 60 seats in the PE department and is approved by AICTE (ALL INDIA COUNCIL OF TECHNICAL EDUCATION). This college is an autonomous college.

KLE Technological University, Hubli : 

This college has a ranking of AAA+. The college has a coure fee of 3 lakh INR. The eligibilty criteria is pass in 10+2 with JEE / COMEDK / CET (any one rank complusory). For lateral entry 10+3 (Diploma in any branch). The college has 60 seats in the PE department and is approved by AICTE (ALL INDIA COUNCIL OF TECHNICAL EDUCATION). The entrance exam is JEE Mains / NATA. It has a course a Accreditation from NBA (NATIONAL BOARD OF ACCREDITATION). This college is a state university.

In my opinion if fee structure is to br taken into consideration as the highest priority then JSS Science and Technology University, Mysuru is to be chosen and if packages after placement is to be considered then The National Institute of Engineering, Mysore is to be given priority. 

for further dertails and deeper resources you can also visit the link :

https://engineering.careers360.com/colleges/list-of-be-btech-in-industrial-and-production-engineering-colleges-in-karnataka?sort_filter=parameter 

ALL THE BEST 

There are not many colleges which provide PE as a course in Karnataka
Presidency University, Bangalore is one of the college providing the course.It is private college with a fees of about 2.28 lakhs .The admission in this college can be through JEE ,COMEDK UGET and KCET.

But there are many top colleges across India which provide these course .They are as follows:

Indian Institute of Technology (IIT), Mumbai

Rajiv Gandhi Institute of Petroleum Technology (RGIPT), UttarPradesh

University of Petroleum & Energy Studies (UPES), Dehradun

Pandit Deendayal Petroleum University (PDPU), Gandhinagar

Universities of Petroleum and Energy Studies (UPES), Dehradun

Global Institute of Engineering and Technology, Vellore

Dibrugarh University Institute of Engineering and Technology (DUIET)

Bhagwant University: Institute of Engineering and Technology, Ajmer

I hope this helps.

Hello!Hope you are doing well. To do B. Tech in PE you have many colleges. But when it comes to karnataka you yahe one college.In karnataka , the bes college for PE is ;

Presidency University,Banglore.

Hope it will be useful to you. Good luck!

Hi,

Presidency University, Bangalore is a good option for you to pursue Petroleum Engineering that gives admission through JEE Mains, JEE Advanced, COMEDK UGET and KCET. The total fees is around 2.3 lakhs. Students usually get placed in companies like IOC, ONGC, Shale and Essar.

Hope this helps.

Cheers!