Can I say: He has paid tremendous effort in his research?
Can I say:
"He has paid tremendous effort in his research."
"He has buried himeself in his research."

What else can I say to express "pay tremendous effort to something"?

Question

Can I say: He has paid tremendous effort in his research?
Can I say: 
"He has paid tremendous effort in his research."
"He has buried himeself in his research."

What else can I say to express "pay tremendous effort to something"?

Answer

You can say that.

Other ways to convey the same thing would be:

"He has dedicated many hours on his research."
"He has spent many waking hours on his research."
"He spent a lot of time on his research." 
"He spent a long time on his project."
"He put a lot of energy into that project."

Answer

An english person would not say "He has paid tremendous effort in his research."

It would would be either:
"He has made a tremendous effort in his research."
or 
"He has made tremendous efforts in his research."

"He has buried himself in his research." is fine except for the typo (himeself)

Não perca a oportunidade de aprender uma língua no conforto da sua casa. Navegue pela nossa seleção de professores de línguas experientes e inscreva-se na sua primeira aula agora mesmo!