Contradiction with Genesis 7:24
Genesis 8:13 states the waters had dried up, but Genesis 7:24 mentions the waters prevailed on the earth for 150 days, which might be seen as conflicting timelines.
Genesis 7:24: And the waters prevailed upon the earth an hundred and fifty days.
Contradiction with Genesis 8:3
Genesis 8:13 notes the earth was dry, while Genesis 8:3 suggests the waters were receding continually which might imply they were not fully dried yet.
Genesis 8:3: And the waters returned from off the earth continually: and after the end of the hundred and fifty days the waters were abated. [continually: Heb. in going and returning]
Contradiction with Genesis 8:14
Genesis 8:13 says the earth was dried, but Genesis 8:14 implies the drying was completed only later on the second month and twenty-seventh day.
Genesis 8:14: And in the second month, on the seven and twentieth day of the month, was the earth dried.
Contradiction with Genesis 9:1
Genesis 8:13 indicates the earth was dry as Noah could remove the covering, but Genesis 9:1 establishes God blessed Noah and his sons after they were already on dry land which might indicate a subsequent completion process.
Genesis 9:1: And God blessed Noah and his sons, and said unto them, Be fruitful, and multiply, and replenish the earth.
Contradiction with Genesis 18:27
Genesis 8:13 says the earth was dry, while Genesis 18:27 has Abraham referring to himself as dust and ashes, which is metaphorical but contrasts with the condition of the earth.
Genesis 18:27: And Abraham answered and said, Behold now, I have taken upon me to speak unto the Lord, which [am but] dust and ashes: