One of the big problems with a world wide flood is the water left behind and erosional features. Where did all the water go? If the flood took place relatively recently then we should see evidence of this in erosional features and in the rock record. The Grand Canyon is often pointed to as the result of the flood, but clearly the canyon was the result of a slow process over time. There is no scientific evidence that the Grand Canyon was the result of a flood.
We do have evidence of a flood in the recent geologic past. This flood, the Missoula flood, flooded the Pacific Northwest of the United States. One of the features that resulted is the Burlingame Canyon. This canyon is 1,500 feet long, 120 feet deep and 120 feet wide. If the erosion rate which quickly carved the Burlingame Canyon during the Missoula flood were equal to the Grand Canyon erosion rate, then one would still have to wait 1.5 million years for the formation of the Grand Canyon. As has been noted earlier, the Grand Canyon is clearly not the result of a flood.
Another problem with a world wide flood deals with the lack of surface erosional features. If the flood was indeed worldwide and recent (within the last 5,000 years), then there should exist a bevy of evidence supporting the flood. For example, the Missoula flood is clear and can be found all over the Pacific Northwest. It is believed that this flood took place some 13,000 years ago. One of the unique features of the Missoula flood are the abundance of giant ripple marks. If the flood of Noah were universal we should find similar features worldwide, but this is not the case. Also, a flood layer worldwide should be evident, but this too is lacking. The lack of surface erosional features is one more strike against the flood being universal in nature.