And God spake unto Noah, and to his sons with him, saying,
“And I, behold, I establish My covenant with you, and with your seed after you; and with every living creature that is with you, of the fowl, of the cattle, and of every beast of the earth with you; from all that go out of the ark, to every beast of the earth.  And I will establish My covenant with you; neither shall all flesh be cut off any more by the waters of a flood; neither shall there any more be a flood to destroy the earth.”
Genesis 9:8-11

The greater covenant God has given to us is the new covenant that is given us through  the death, burial, and resurrection of Jesus Christ, and through Him we receive a new heart that is clean, and yields to the will of God.