Correct

钻研 vs 研究

/ zuānyán vs yánjiū /
Strokes

Definition

钻研 and 研究 both are Verb, which means [study intensively, study, research].

Both 钻研 and 研究 as verbs mean "to study or research", but they have a different scope of usage and emphasis. 

钻研 cannot be reduplicated AABB, while 研究 can be reduplicated into ABAB (研究研究).

Example

钻研 means "to study intensively", the object of which is science, technique, learning, etc.
1
jìnniánlái
近年来
  
,
zhí
一直
qiánxīn
潜心
zuānyán
钻研
dài
古代
hàn
汉语
de
虚词
yòng
用法
  
,
hěn
yǒu
chéng
成绩
  

In recent years, he has been studying the usage of the formal words in Ancient Chinese, and has made great progress in it.

2
Lǎowáng
老王
duì
zhège
这个
zhuān
专题
  
,
zuānyán
钻研
de
hěn
  

For this subject, Lao Wang has made a careful study.

3
yòngxīn
用心
zuānyán
钻研
业务
  
,
gōngzuò
工作
néng
能力
gāo
提高
de
hěn
kuài
  

He is devoted to his job and he has made progress in his work quickly.

研究 means "research on (the truth, nature, rule, etc.)"
4
zhuānmén
专门
yánjiū
研究
xiàndài
现代
hàn
汉语
语法
  

He is dedicated to the study of Ancient Chinese grammar.

5
duì
zhōngguó
中国
shǐ
历史
háo
毫无
yánjiū
研究
  
,
zhī
zhīdào
知道
xiē
一些
chángshí
常识
xìng
de
dōng
东西
  

I made no special study about Chinese history and I only have a general knowledge of it.

6
Zhège
这个
yánjiū
研究
课题
yóu
men
他们
sān
rén
chéngdān
承担
  

They three are responsible for the subject research.

研究 means "to discuss, to talk over (matters, problems, etc.)"
In the examples of ④ to ⑩, 研究 cannot be replaced by 钻研.
7
men
你们
de
jiàn
意见
lǐngdǎo
领导
yào
yánjiū
研究
hòu
以后
cái
néng
答复
  

The leader will give you a reply after discussing your proposal.

8
de
jiàn
建议
men
我们
yīnggāi
应该
hǎohǎo
好好
yánjiū
研究
xià
  

His suggestions should be carefully discussed.

9
Zhège
这个
gōngzuò
工作
huà
计划
de
yánjiū
研究
yánjiū
研究
zài
quèdìng
确定
  

This work plan should be decided after careful consideration.