PHOENIX -- Even before he came to Arizona, Jean Segura liked hitting in Chase Field. Imagine how he feels now.

Segura had four hits Monday, including a three-run homer that keyed a nine-run sixth inning in the Diamondbacks' 12-7 victory over the St. Louis Cardinals, improving his batting average at home to an even .400 in 50 at-bats.

"It's great," he said of his new home park. "When I come to the plate, something is going to happen. That's my mentality."

Segura hit a 1-2 pitch from Kevin Siegrist into the left field seats for a 7-5 lead that grew to 11-5 as Arizona had nine hits and sent 14 men to the plate against four Cardinals pitchers in the inning.

Chris Owings had a pair of RBI singles in the sixth, and Welington Castillo had two hits and a two-run single in the inning as the D-backs (11-10) won for the seventh time in nine games.

Segura leads the NL with 32 hits.

"In this sport, you have to have some talents, but you need some good luck," Segura said. "It's a long season. Sometimes you don't hit the ball hard enough. That's how hard and how crazy baseball is. It was one of those nights."

Arizona right-hander Zack Greinke (2-2) gave up seven runs and 11 hits in 6 2/3 innings for his first victory in three home starts. He has given up 18 runs in 16 2/3 innings at Chase Field this season.

Greinke's sixth-inning single extended his hitting streak to four games.

Jeremy Hazelbaker tripled, homered and drove in three runs for the Cardinals after replacing Matt Holliday, who left with a right leg cramp in the third inning.

"I thought I did all right," said Greinke said, who struck out two and did not issue a walk.

"It is kind of embarrassing to give up seven runs thinking you did all right, but ... the last pitch I threw to Hazelbaker was pretty bad. A high changeup. Otherwise pretty decent. Pretty sad that that's the case."

Castillo and Owings finished with three hits apiece, and Owings had three RBIs. Yasmany Tomas, David Peralta and Brandon Drury each had two hits for Arizona, which has scored at least seven runs four games in a row for the first time since 2010.

Matt Carpenter had two hits and a bases-empty homer and Stephen Piscotty had two hits and an RBI for the Cardinals (10-9), who had won their last two.

"When you put up those kinds of runs against a pitcher like a Greinke, we have to figure out a way to get it done," St. Louis manager Mike Matheny said.

With the Cardinals leading 5-2 entering the sixth inning, Castillo doubled and Peralta tripled to knock out St. Louis starter Jaime Garcia. Owings singled in a run to make it 5-4, and Greinke singled before Segura's one-out homer.

"That was a quick home run," Arizona manager Chip Hale said of Segura's 401-foot line drive.

Tomas later doubled in a run, Castillo singled in two, and Owings capped the scoring with an RBI single for an 11-5 lead. Tomas, who had two doubles, extended his hitting streak to 11 games, tying a career high.

Carpenter homered and Hazelbaker tripled in a run to make it 11-7 in the seventh before Diamondbacks pinch hitter Rickie Weeks doubled in the final run in the eighth.

Garcia, 5-0 in five previous career starts against Arizona, gave up four runs (three earned) and eight hits in five-plus innings. He struck out three and walked three.

"I didn't get the job done," Garcia said. "I need to do a better job next time. Frustrating."

NOTES: Arizona recalled LHP Keith Hessler from Double-A Mobile and RHP Dominic Leone from Triple-A Reno to add bullpen depth. RHP Evan Marshall and RHP Tyler Wagner were optioned to Reno. Wagner threw three innings and Marshall one when the Arizona bullpen was needed for 10 innings in a 12-10, 13-inning loss to Pittsburgh on Sunday. ... Arizona manager Chip Hale, on pinch-hitting RHP Zack Greinke and putting RHP Shelby Miller in left field late in the Sunday game: "I don't want to have to pinch-hit Zack Greinke. I don't want to put one of my pitchers out in the outfield ever. But it's a baseball game, and we can't just throw in the towel and stop the game. We tried to put the team out there we thought could handle it." On Tuesday, Miller is scheduled to face St. Louis, which selected him in the first round of the 2009 draft. Miller was 1-1 with an 0.59 ERA in two starts against the Cardinals with Atlanta last season. RHP Carlos Martinez will start for the Cardinals. ...The Chase Field roof was closed Monday. The temperature outside at first pitch was 74 degrees with wind speeds up to 21 mph from the southwest. It was 76 degrees inside.