Can we really trust the Bible with all of those interventions of God into the natural world? A miracle cannot be scientifically tested, so how can we trust the Bible, when it tells us that God intervened?
For one, unless you start from a revelation of God, you cannot know anything for certain. Secondly, there were eye-witness accounts of miracles. And thirdly, in some cases, we can see the results of miracles.
Genesis 6-9 tells that there was a historical worldwide flood, and the evidence for this miraculous intervention is overwhelming. But there are some who would say that this flood was just a localized flood...a flood that seemed worldwide to Noah, but was just really a flooding of the Mesopotamian valley.
But if we look at what the Bible says in Genesis 7:20, the waters covered the mountains to a depth of 15 cubits (possibly 20 feet), and Genesis 8:4 says that the ark came to rest in the mountains of Ararat.
Mt Ararat is almost 17,000 feet above sea level. If the sea level rose 17,000 feet, would the Mesopotamian be able to contain the flooding?
So, we should be able to see evidences of flooding all over the world. Here, here, and here are testaments to the reliability of Biblical thinking. We can trust God when he has revealed history to us, and we can trust him for our future.