Darksiders

First time you meet the Griever, pick up the blaster, and keep shooting towards her mouth,blue stone area.
She'll run away pretty quick

Second time you meet her.
Destroy as much of the blue rocks as you can, if she fires her lazer beam hide behind the blue rock(this will turn it red)
Once you have 1 rock left your going to have to run around in the open to draw the lazer away from the last blue rock(so it doesnt turn red) to be able to destroy it.
Once all destroyed, get behind the train cargo bed, and punch it forward a few times into her.
If she starts dropping rocks, (she usually makes a pounding sound) just run around it rather large circle till she stops.

When she lays down on the ground, run up and use the ground pound(just like destroying the blue rocks) on her heart exposing the fleshy part underneath.

Youll will have to punch the cart into her twice to down her, run up and hack and slash a little then run away.(remember to charge the Tremor Gauntlet for this punch)

From time to time you will get a mini cutscene and she will call down the green bird things.
Deal with all these (blade geyser is good for this).

If she starts dropping rocks, (she usually makes a pounding sound) just run around it rather large circle till she stops.

Rinse and repeat,
Green birds, punch cart, once she is down, hack and slash for a little and move out.
If rocks come down, run around in large circles.
If lazer beam, you can use the end of the cargo bed to hide behind.
After repeating this a number of times, youll get the cut scene, the achievement and a lifestone for defeating Griever.

Youtube Video

Just a little added advice:

Using the Horn is also very affective against the Green Birds. It makes those sections way easier. I hope that helps.