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Option 1: Digboi, Assam - This region is a famous producer of petroleum mineral in India. So, option 1 is incorrect.
Option 2: Bombay High, Mumbai - This offshore region in the Arabian Sea is one of the major petroleum-producing regions in India. So, option 2 is incorrect.
Option 3: Delta of Narmada River - This region is not known for petroleum production. It is primarily agricultural and has no significant petroleum reserves. Therefore, option 3 is correct.
Option 4: Delta of Krishna River - This region is not known for petroleum production either. It is mainly agriculturally oriented and does not have significant petroleum reserves. So, option 4 is incorrect.
In summary, the correct answer is option 3. The Delta of Narmada River is the region in India that is not a producer of petroleum mineral.