"greater exploration" is correct and can be used in written English.
For example: "This study aims to facilitate a greater exploration of the effects of exercise on heart health."
Alongside this work, there should be greater exploration of the effects of different tax rates and models to explore whether the synergies and conflicts identified in this research may be negated or reversed.
Often simpler shapes give rise to greater exploration into the textiles, and therefore prints and patterns".
Granted that Mr. French mentioned the magnetic levitation train; but the new subway system permits a much greater exploration of the entire city that is not dependent on taxis, buses or being on foot.
Improvements in transportation and communications helped open the territory to greater exploration and development, while increased public interest in the area prompted a great expansion of government services and an increased influx of tourists.
Then, Phase Two: Greater exploration by energy firms.
"I'm hoping this will lead to a greater exploration of all his song repertoire.
It was a great exploration!" Even the sludge outing?
After Mr. Smith, 36, and Ms. Bakalian were married in 1997, parenthood was the next great exploration.
"It was a great exploration of design themes," the judges said in a statement.
But the 1960's and 70's brought the great exploration of pre-Classical repertory that went hand in hand with the development of period performance practice.
Kathrin Colburn recalls that as she and her associates stared into the backs of the Unicorn tapestries it "felt like a great exploration of the piece".
