So the meaning of away from the presence of the Lord does not mean that God is absent in every sense, but in those senses [His love which produces His pleasures forevermore/fullness of joy]. God will be terribly present in another sense. All reality continues to say: In Him we live and move and have our being. And it is still in hell that no one can hide from the Lord or escape the terrible countenance of His anger. So God's power is present in hell as the One who sustains our being and the One who enforces justice and the One who maintains suffering. He is present in all the ways men do not want Him to be present and none of the ways that believers enjoy His presence.
John Piper