Correct option is D
The best substitute is “facilitated a comprehensive understanding.”
Tense consistency: The participial clause “utilised in this study” implies the study is completed. Using past simple “facilitated” aligns the main clause with that past context.
Meaning preserved: The sentence still says the approach helped achieve understanding (no change in intended sense).
Natural phrasing: “a comprehensive understanding” is idiomatic when referring to a particular achieved understanding in a specific study.
Why the others are not appropriate:
A. “is facilitates a …” — ungrammatical (double verb: is + facilitates).
B. “will have facilitated …” — future perfect; mismatched with a completed past study and needlessly complex.
C. “utilises a comprehensive understanding” — changes the meaning (now the approach uses understanding rather than enabling it), which is not intended.